%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : REL019+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 19:43:36 EDT 2022

% Result   : Theorem 19.37s 19.55s
% Output   : CNFRefutation 19.95s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0) ).

fof(maddux2_join_associativity,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).

fof(maddux3_a_kind_of_de_Morgan,axiom,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).

fof(maddux4_definiton_of_meet,axiom,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).

fof(composition_associativity,axiom,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ).

fof(composition_identity,axiom,
    ! [X0] : composition(X0,one) = X0 ).

fof(composition_distributivity,axiom,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).

fof(converse_idempotence,axiom,
    ! [X0] : converse(converse(X0)) = X0 ).

fof(converse_additivity,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).

fof(converse_multiplicativity,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).

fof(converse_cancellativity,axiom,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).

fof(def_top,axiom,
    ! [X0] : top = join(X0,complement(X0)) ).

fof(def_zero,axiom,
    ! [X0] : zero = meet(X0,complement(X0)) ).

fof(goals,conjecture,
    ! [X0,X1] :
      ( ( composition(X0,top) = X0
        & composition(X1,top) = X1 )
     => composition(meet(X0,X1),top) = meet(X0,X1) ) ).

fof(subgoal_0,plain,
    ! [X0,X1] :
      ( ( composition(X0,top) = X0
        & composition(X1,top) = X1 )
     => composition(meet(X0,X1),top) = meet(X0,X1) ),
    inference(strip,[],[goals]) ).

fof(negate_0_0,plain,
    ~ ! [X0,X1] :
        ( ( composition(X0,top) = X0
          & composition(X1,top) = X1 )
       => composition(meet(X0,X1),top) = meet(X0,X1) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(canonicalize,[],[converse_idempotence]) ).

fof(normalize_0_1,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(canonicalize,[],[converse_cancellativity]) ).

fof(normalize_0_3,plain,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(canonicalize,[],[maddux1_join_commutativity]) ).

fof(normalize_0_5,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(canonicalize,[],[converse_multiplicativity]) ).

fof(normalize_0_7,plain,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(canonicalize,[],[composition_distributivity]) ).

fof(normalize_0_9,plain,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(specialize,[],[normalize_0_8]) ).

fof(normalize_0_10,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_11,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    inference(specialize,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    inference(canonicalize,[],[maddux4_definiton_of_meet]) ).

fof(normalize_0_13,plain,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    inference(specialize,[],[normalize_0_12]) ).

fof(normalize_0_14,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(canonicalize,[],[maddux2_join_associativity]) ).

fof(normalize_0_15,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(specialize,[],[normalize_0_14]) ).

fof(normalize_0_16,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(canonicalize,[],[def_top]) ).

fof(normalize_0_17,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(specialize,[],[normalize_0_16]) ).

fof(normalize_0_18,plain,
    ! [X0] : zero = meet(X0,complement(X0)),
    inference(canonicalize,[],[def_zero]) ).

fof(normalize_0_19,plain,
    ! [X0] : zero = meet(X0,complement(X0)),
    inference(specialize,[],[normalize_0_18]) ).

fof(normalize_0_20,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(canonicalize,[],[converse_additivity]) ).

fof(normalize_0_21,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(specialize,[],[normalize_0_20]) ).

fof(normalize_0_22,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(canonicalize,[],[composition_identity]) ).

fof(normalize_0_23,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(specialize,[],[normalize_0_22]) ).

fof(normalize_0_24,plain,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(canonicalize,[],[composition_associativity]) ).

fof(normalize_0_25,plain,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(specialize,[],[normalize_0_24]) ).

fof(normalize_0_26,plain,
    ? [X0,X1] :
      ( composition(meet(X0,X1),top) != meet(X0,X1)
      & composition(X0,top) = X0
      & composition(X1,top) = X1 ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_27,plain,
    ( composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
    & composition(skolemFOFtoCNF_X0,top) = skolemFOFtoCNF_X0
    & composition(skolemFOFtoCNF_X1,top) = skolemFOFtoCNF_X1 ),
    inference(skolemize,[],[normalize_0_26]) ).

fof(normalize_0_28,plain,
    composition(skolemFOFtoCNF_X1,top) = skolemFOFtoCNF_X1,
    inference(conjunct,[],[normalize_0_27]) ).

fof(normalize_0_29,plain,
    composition(skolemFOFtoCNF_X0,top) = skolemFOFtoCNF_X0,
    inference(conjunct,[],[normalize_0_27]) ).

fof(normalize_0_30,plain,
    composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
    inference(conjunct,[],[normalize_0_27]) ).

cnf(refute_0_0,plain,
    converse(converse(X0)) = X0,
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    converse(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),
    inference(subst,[],[refute_0_0:[bind(X0,$fot(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_2,plain,
    join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_3,plain,
    join(X0,X1) = join(X1,X0),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( join(X0,X1) != join(X1,X0)
    | join(X1,X0) = join(X0,X1) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).

cnf(refute_0_8,plain,
    join(X1,X0) = join(X0,X1),
    inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_3,refute_0_7]) ).

cnf(refute_0_9,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_8:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).

cnf(refute_0_10,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_11,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_9,refute_0_10]) ).

cnf(refute_0_12,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_2,refute_0_11]) ).

cnf(refute_0_13,plain,
    join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) = complement(converse(X0)),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).

cnf(refute_0_14,plain,
    converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_15,plain,
    ( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
    | composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).

cnf(refute_0_16,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_14,refute_0_15]) ).

cnf(refute_0_17,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_18,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_16,refute_0_17]) ).

cnf(refute_0_19,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_13,refute_0_18]) ).

cnf(refute_0_20,plain,
    converse(converse(X1)) = X1,
    inference(subst,[],[refute_0_0:[bind(X0,$fot(X1))]]) ).

cnf(refute_0_21,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_22,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_23,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_21,refute_0_22]) ).

cnf(refute_0_24,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_20,refute_0_23]) ).

cnf(refute_0_25,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_26,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_27,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_25,refute_0_26]) ).

cnf(refute_0_28,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_24,refute_0_27]) ).

cnf(refute_0_29,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_30,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_28,refute_0_29]) ).

cnf(refute_0_31,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_19,refute_0_30]) ).

cnf(refute_0_32,plain,
    join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top))))) = complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
    inference(subst,[],[refute_0_31:[bind(X0,$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),bind(X1,$fot(top))]]) ).

cnf(refute_0_33,plain,
    composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_34,plain,
    composition(join(complement(skolemFOFtoCNF_X0),X1),top) = join(composition(complement(skolemFOFtoCNF_X0),top),composition(X1,top)),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X2,$fot(top))]]) ).

cnf(refute_0_35,plain,
    X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_36,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_8:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).

cnf(refute_0_37,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_38,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_36,refute_0_37]) ).

cnf(refute_0_39,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_35,refute_0_38]) ).

cnf(refute_0_40,plain,
    join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).

cnf(refute_0_41,plain,
    meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_42,plain,
    ( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
    | complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).

cnf(refute_0_43,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_41,refute_0_42]) ).

cnf(refute_0_44,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_45,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_46,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_44,refute_0_45]) ).

cnf(refute_0_47,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_43,refute_0_46]) ).

cnf(refute_0_48,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_49,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_48]) ).

cnf(refute_0_50,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_49:[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_51,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_47,refute_0_50]) ).

cnf(refute_0_52,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_40,refute_0_51]) ).

cnf(refute_0_53,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_54,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_52,refute_0_53]) ).

cnf(refute_0_55,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_39,refute_0_54]) ).

cnf(refute_0_56,plain,
    X_88 = join(meet(X_88,X_89),complement(join(complement(X_88),X_89))),
    inference(subst,[],[refute_0_55:[bind(X0,$fot(X_88)),bind(X1,$fot(X_89))]]) ).

cnf(refute_0_57,plain,
    join(X_89,complement(X_88)) = join(complement(X_88),X_89),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(X_89)),bind(X1,$fot(complement(X_88)))]]) ).

cnf(refute_0_58,plain,
    ( join(X_89,complement(X_88)) != join(complement(X_88),X_89)
    | join(complement(X_88),X_89) = join(X_89,complement(X_88)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_89,complement(X_88)))),bind(Y,$fot(join(complement(X_88),X_89)))]]) ).

cnf(refute_0_59,plain,
    join(complement(X_88),X_89) = join(X_89,complement(X_88)),
    inference(resolve,[$cnf( $equal(join(X_89,complement(X_88)),join(complement(X_88),X_89)) )],[refute_0_57,refute_0_58]) ).

cnf(refute_0_60,plain,
    ( X_88 != join(meet(X_88,X_89),complement(join(complement(X_88),X_89)))
    | join(complement(X_88),X_89) != join(X_89,complement(X_88))
    | X_88 = join(meet(X_88,X_89),complement(join(X_89,complement(X_88)))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_88,join(meet(X_88,X_89),complement(join(complement(X_88),X_89)))) ),[1,1,0],$fot(join(X_89,complement(X_88)))]]) ).

cnf(refute_0_61,plain,
    ( X_88 != join(meet(X_88,X_89),complement(join(complement(X_88),X_89)))
    | X_88 = join(meet(X_88,X_89),complement(join(X_89,complement(X_88)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_88),X_89),join(X_89,complement(X_88))) )],[refute_0_59,refute_0_60]) ).

cnf(refute_0_62,plain,
    X_88 = join(meet(X_88,X_89),complement(join(X_89,complement(X_88)))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,X_89),complement(join(complement(X_88),X_89)))) )],[refute_0_56,refute_0_61]) ).

cnf(refute_0_63,plain,
    complement(skolemFOFtoCNF_X0) = join(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))),
    inference(subst,[],[refute_0_62:[bind(X_88,$fot(complement(skolemFOFtoCNF_X0))),bind(X_89,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_64,plain,
    X_88 = join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(complement(X_88),join(complement(complement(X_88)),X_52)))),
    inference(subst,[],[refute_0_55:[bind(X0,$fot(X_88)),bind(X1,$fot(join(complement(complement(X_88)),X_52)))]]) ).

cnf(refute_0_65,plain,
    join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_66,plain,
    join(X_50,join(complement(X_50),X_52)) = join(join(X_50,complement(X_50)),X_52),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_50)),bind(X1,$fot(complement(X_50))),bind(X2,$fot(X_52))]]) ).

cnf(refute_0_67,plain,
    top = join(X0,complement(X0)),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_68,plain,
    top = join(X_50,complement(X_50)),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(X_50))]]) ).

cnf(refute_0_69,plain,
    ( top != join(X_50,complement(X_50))
    | join(X_50,complement(X_50)) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X_50,complement(X_50))))]]) ).

cnf(refute_0_70,plain,
    join(X_50,complement(X_50)) = top,
    inference(resolve,[$cnf( $equal(top,join(X_50,complement(X_50))) )],[refute_0_68,refute_0_69]) ).

cnf(refute_0_71,plain,
    ( join(X_50,complement(X_50)) != top
    | join(X_50,join(complement(X_50),X_52)) != join(join(X_50,complement(X_50)),X_52)
    | join(X_50,join(complement(X_50),X_52)) = join(top,X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(complement(X_50),X_52)),join(join(X_50,complement(X_50)),X_52)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_72,plain,
    ( join(X_50,join(complement(X_50),X_52)) != join(join(X_50,complement(X_50)),X_52)
    | join(X_50,join(complement(X_50),X_52)) = join(top,X_52) ),
    inference(resolve,[$cnf( $equal(join(X_50,complement(X_50)),top) )],[refute_0_70,refute_0_71]) ).

cnf(refute_0_73,plain,
    join(X_50,join(complement(X_50),X_52)) = join(top,X_52),
    inference(resolve,[$cnf( $equal(join(X_50,join(complement(X_50),X_52)),join(join(X_50,complement(X_50)),X_52)) )],[refute_0_66,refute_0_72]) ).

cnf(refute_0_74,plain,
    join(complement(X_88),join(complement(complement(X_88)),X_52)) = join(top,X_52),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(complement(X_88)))]]) ).

cnf(refute_0_75,plain,
    ( X_88 != join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(complement(X_88),join(complement(complement(X_88)),X_52))))
    | join(complement(X_88),join(complement(complement(X_88)),X_52)) != join(top,X_52)
    | X_88 = join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(top,X_52))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_88,join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(complement(X_88),join(complement(complement(X_88)),X_52))))) ),[1,1,0],$fot(join(top,X_52))]]) ).

cnf(refute_0_76,plain,
    ( X_88 != join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(complement(X_88),join(complement(complement(X_88)),X_52))))
    | X_88 = join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(top,X_52))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_88),join(complement(complement(X_88)),X_52)),join(top,X_52)) )],[refute_0_74,refute_0_75]) ).

cnf(refute_0_77,plain,
    X_88 = join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(top,X_52))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(complement(X_88),join(complement(complement(X_88)),X_52))))) )],[refute_0_64,refute_0_76]) ).

cnf(refute_0_78,plain,
    join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(top,X_52))) = join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(join(top,X_52)))),bind(X1,$fot(meet(X_88,join(complement(complement(X_88)),X_52))))]]) ).

cnf(refute_0_79,plain,
    ( X_88 != join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(top,X_52)))
    | join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(top,X_52))) != join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52)))
    | X_88 = join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52)))) ),[0],$fot(join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(top,X_52))))]]) ).

cnf(refute_0_80,plain,
    ( X_88 != join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(top,X_52)))
    | X_88 = join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(top,X_52))),join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52)))) )],[refute_0_78,refute_0_79]) ).

cnf(refute_0_81,plain,
    X_88 = join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,join(complement(complement(X_88)),X_52)),complement(join(top,X_52)))) )],[refute_0_77,refute_0_80]) ).

cnf(refute_0_82,plain,
    zero = meet(X0,complement(X0)),
    inference(canonicalize,[],[normalize_0_19]) ).

cnf(refute_0_83,plain,
    zero = meet(join(complement(X_31),complement(X_32)),complement(join(complement(X_31),complement(X_32)))),
    inference(subst,[],[refute_0_82:[bind(X0,$fot(join(complement(X_31),complement(X_32))))]]) ).

cnf(refute_0_84,plain,
    meet(X_31,X_32) = complement(join(complement(X_31),complement(X_32))),
    inference(subst,[],[refute_0_41:[bind(X0,$fot(X_31)),bind(X1,$fot(X_32))]]) ).

cnf(refute_0_85,plain,
    ( meet(X_31,X_32) != complement(join(complement(X_31),complement(X_32)))
    | complement(join(complement(X_31),complement(X_32))) = meet(X_31,X_32) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_31,X_32))),bind(Y,$fot(complement(join(complement(X_31),complement(X_32)))))]]) ).

cnf(refute_0_86,plain,
    complement(join(complement(X_31),complement(X_32))) = meet(X_31,X_32),
    inference(resolve,[$cnf( $equal(meet(X_31,X_32),complement(join(complement(X_31),complement(X_32)))) )],[refute_0_84,refute_0_85]) ).

cnf(refute_0_87,plain,
    ( complement(join(complement(X_31),complement(X_32))) != meet(X_31,X_32)
    | zero != meet(join(complement(X_31),complement(X_32)),complement(join(complement(X_31),complement(X_32))))
    | zero = meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_31),complement(X_32)),complement(join(complement(X_31),complement(X_32))))) ),[1,1],$fot(meet(X_31,X_32))]]) ).

cnf(refute_0_88,plain,
    ( zero != meet(join(complement(X_31),complement(X_32)),complement(join(complement(X_31),complement(X_32))))
    | zero = meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_31),complement(X_32))),meet(X_31,X_32)) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    zero = meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)),
    inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_31),complement(X_32)),complement(join(complement(X_31),complement(X_32))))) )],[refute_0_83,refute_0_88]) ).

cnf(refute_0_90,plain,
    ( top != join(X0,complement(X0))
    | join(X0,complement(X0)) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).

cnf(refute_0_91,plain,
    join(X0,complement(X0)) = top,
    inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_67,refute_0_90]) ).

cnf(refute_0_92,plain,
    join(meet(X_31,X_32),complement(meet(X_31,X_32))) = top,
    inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(X_31,X_32)))]]) ).

cnf(refute_0_93,plain,
    complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))) = complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))),
    introduced(tautology,[refl,[$fot(complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))))]]) ).

cnf(refute_0_94,plain,
    ( complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))) != complement(join(meet(X_31,X_32),complement(meet(X_31,X_32))))
    | join(meet(X_31,X_32),complement(meet(X_31,X_32))) != top
    | complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))),complement(join(meet(X_31,X_32),complement(meet(X_31,X_32))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_95,plain,
    ( join(meet(X_31,X_32),complement(meet(X_31,X_32))) != top
    | complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))),complement(join(meet(X_31,X_32),complement(meet(X_31,X_32))))) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))) = complement(top),
    inference(resolve,[$cnf( $equal(join(meet(X_31,X_32),complement(meet(X_31,X_32))),top) )],[refute_0_92,refute_0_95]) ).

cnf(refute_0_97,plain,
    meet(join(complement(X_31),complement(X_32)),X1) = complement(join(complement(join(complement(X_31),complement(X_32))),complement(X1))),
    inference(subst,[],[refute_0_41:[bind(X0,$fot(join(complement(X_31),complement(X_32))))]]) ).

cnf(refute_0_98,plain,
    ( complement(join(complement(X_31),complement(X_32))) != meet(X_31,X_32)
    | meet(join(complement(X_31),complement(X_32)),X1) != complement(join(complement(join(complement(X_31),complement(X_32))),complement(X1)))
    | meet(join(complement(X_31),complement(X_32)),X1) = complement(join(meet(X_31,X_32),complement(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_31),complement(X_32)),X1),complement(join(complement(join(complement(X_31),complement(X_32))),complement(X1)))) ),[1,0,0],$fot(meet(X_31,X_32))]]) ).

cnf(refute_0_99,plain,
    ( meet(join(complement(X_31),complement(X_32)),X1) != complement(join(complement(join(complement(X_31),complement(X_32))),complement(X1)))
    | meet(join(complement(X_31),complement(X_32)),X1) = complement(join(meet(X_31,X_32),complement(X1))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_31),complement(X_32))),meet(X_31,X_32)) )],[refute_0_86,refute_0_98]) ).

cnf(refute_0_100,plain,
    meet(join(complement(X_31),complement(X_32)),X1) = complement(join(meet(X_31,X_32),complement(X1))),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_31),complement(X_32)),X1),complement(join(complement(join(complement(X_31),complement(X_32))),complement(X1)))) )],[refute_0_97,refute_0_99]) ).

cnf(refute_0_101,plain,
    meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) = complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))),
    inference(subst,[],[refute_0_100:[bind(X1,$fot(meet(X_31,X_32)))]]) ).

cnf(refute_0_102,plain,
    ( complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))) != complement(top)
    | meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) != complement(join(meet(X_31,X_32),complement(meet(X_31,X_32))))
    | meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) = complement(top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)))),bind(Y,$fot(complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))))),bind(Z,$fot(complement(top)))]]) ).

cnf(refute_0_103,plain,
    ( complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))) != complement(top)
    | meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) = complement(top) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)),complement(join(meet(X_31,X_32),complement(meet(X_31,X_32))))) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) = complement(top),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_31,X_32),complement(meet(X_31,X_32)))),complement(top)) )],[refute_0_96,refute_0_103]) ).

cnf(refute_0_105,plain,
    ( meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) != complement(top)
    | zero != meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32))
    | zero = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32))) ),[1],$fot(complement(top))]]) ).

cnf(refute_0_106,plain,
    ( zero != meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32))
    | zero = complement(top) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32)),complement(top)) )],[refute_0_104,refute_0_105]) ).

cnf(refute_0_107,plain,
    zero = complement(top),
    inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_31),complement(X_32)),meet(X_31,X_32))) )],[refute_0_89,refute_0_106]) ).

cnf(refute_0_108,plain,
    ( zero != complement(top)
    | complement(top) = zero ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).

cnf(refute_0_109,plain,
    complement(top) = zero,
    inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    join(X_50,join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) = join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_50)),bind(X1,$fot(complement(one))),bind(X2,$fot(join(composition(converse(top),zero),converse(complement(converse(complement(one)))))))]]) ).

cnf(refute_0_111,plain,
    converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(canonicalize,[],[normalize_0_21]) ).

cnf(refute_0_112,plain,
    converse(join(converse(X0),X_5)) = join(converse(converse(X0)),converse(X_5)),
    inference(subst,[],[refute_0_111:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).

cnf(refute_0_113,plain,
    ( converse(converse(X0)) != X0
    | converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
    | converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) ),[1,0],$fot(X0)]]) ).

cnf(refute_0_114,plain,
    ( converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
    | converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_0,refute_0_113]) ).

cnf(refute_0_115,plain,
    converse(join(converse(X0),X_5)) = join(X0,converse(X_5)),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) )],[refute_0_112,refute_0_114]) ).

cnf(refute_0_116,plain,
    converse(join(converse(X_8),complement(converse(X_8)))) = join(X_8,converse(complement(converse(X_8)))),
    inference(subst,[],[refute_0_115:[bind(X0,$fot(X_8)),bind(X_5,$fot(complement(converse(X_8))))]]) ).

cnf(refute_0_117,plain,
    top = join(converse(X_8),complement(converse(X_8))),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(converse(X_8)))]]) ).

cnf(refute_0_118,plain,
    ( top != join(converse(X_8),complement(converse(X_8)))
    | join(converse(X_8),complement(converse(X_8))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_8),complement(converse(X_8)))))]]) ).

cnf(refute_0_119,plain,
    join(converse(X_8),complement(converse(X_8))) = top,
    inference(resolve,[$cnf( $equal(top,join(converse(X_8),complement(converse(X_8)))) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    ( converse(join(converse(X_8),complement(converse(X_8)))) != join(X_8,converse(complement(converse(X_8))))
    | join(converse(X_8),complement(converse(X_8))) != top
    | converse(top) = join(X_8,converse(complement(converse(X_8)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_8),complement(converse(X_8)))),join(X_8,converse(complement(converse(X_8))))) ),[0,0],$fot(top)]]) ).

cnf(refute_0_121,plain,
    ( converse(join(converse(X_8),complement(converse(X_8)))) != join(X_8,converse(complement(converse(X_8))))
    | converse(top) = join(X_8,converse(complement(converse(X_8)))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_8),complement(converse(X_8))),top) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    converse(top) = join(X_8,converse(complement(converse(X_8)))),
    inference(resolve,[$cnf( $equal(converse(join(converse(X_8),complement(converse(X_8)))),join(X_8,converse(complement(converse(X_8))))) )],[refute_0_116,refute_0_121]) ).

cnf(refute_0_123,plain,
    converse(top) = join(join(X_13,X_14),converse(complement(converse(join(X_13,X_14))))),
    inference(subst,[],[refute_0_122:[bind(X_8,$fot(join(X_13,X_14)))]]) ).

cnf(refute_0_124,plain,
    join(converse(X0),converse(X1)) = join(converse(X1),converse(X0)),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(converse(X0))),bind(X1,$fot(converse(X1)))]]) ).

cnf(refute_0_125,plain,
    ( converse(join(X0,X1)) != join(converse(X0),converse(X1))
    | join(converse(X0),converse(X1)) != join(converse(X1),converse(X0))
    | converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) ),[0],$fot(join(converse(X0),converse(X1)))]]) ).

cnf(refute_0_126,plain,
    ( converse(join(X0,X1)) != join(converse(X0),converse(X1))
    | converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
    inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),join(converse(X1),converse(X0))) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    converse(join(X0,X1)) = join(converse(X1),converse(X0)),
    inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_111,refute_0_126]) ).

cnf(refute_0_128,plain,
    ( converse(join(X0,X1)) != join(converse(X0),converse(X1))
    | join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).

cnf(refute_0_129,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_111,refute_0_128]) ).

cnf(refute_0_130,plain,
    join(converse(X1),converse(X0)) = converse(join(X1,X0)),
    inference(subst,[],[refute_0_129:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).

cnf(refute_0_131,plain,
    ( converse(join(X0,X1)) != join(converse(X1),converse(X0))
    | join(converse(X1),converse(X0)) != converse(join(X1,X0))
    | converse(join(X0,X1)) = converse(join(X1,X0)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),converse(join(X1,X0))) ),[0],$fot(join(converse(X1),converse(X0)))]]) ).

cnf(refute_0_132,plain,
    ( converse(join(X0,X1)) != join(converse(X1),converse(X0))
    | converse(join(X0,X1)) = converse(join(X1,X0)) ),
    inference(resolve,[$cnf( $equal(join(converse(X1),converse(X0)),converse(join(X1,X0))) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    converse(join(X0,X1)) = converse(join(X1,X0)),
    inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) )],[refute_0_127,refute_0_132]) ).

cnf(refute_0_134,plain,
    converse(join(X_13,X_14)) = converse(join(X_14,X_13)),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(X_13)),bind(X1,$fot(X_14))]]) ).

cnf(refute_0_135,plain,
    ( converse(join(X_13,X_14)) != converse(join(X_14,X_13))
    | converse(top) != join(join(X_13,X_14),converse(complement(converse(join(X_13,X_14)))))
    | converse(top) = join(join(X_13,X_14),converse(complement(converse(join(X_14,X_13))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_13,X_14),converse(complement(converse(join(X_13,X_14)))))) ),[1,1,0,0],$fot(converse(join(X_14,X_13)))]]) ).

cnf(refute_0_136,plain,
    ( converse(top) != join(join(X_13,X_14),converse(complement(converse(join(X_13,X_14)))))
    | converse(top) = join(join(X_13,X_14),converse(complement(converse(join(X_14,X_13))))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_13,X_14)),converse(join(X_14,X_13))) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    converse(top) = join(join(X_13,X_14),converse(complement(converse(join(X_14,X_13))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(X_13,X_14),converse(complement(converse(join(X_13,X_14)))))) )],[refute_0_123,refute_0_136]) ).

cnf(refute_0_138,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_6:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).

cnf(refute_0_139,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_65,refute_0_138]) ).

cnf(refute_0_140,plain,
    join(join(X_13,X_14),converse(complement(converse(join(X_14,X_13))))) = join(X_13,join(X_14,converse(complement(converse(join(X_14,X_13)))))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_13)),bind(X1,$fot(X_14)),bind(X2,$fot(converse(complement(converse(join(X_14,X_13))))))]]) ).

cnf(refute_0_141,plain,
    ( converse(top) != join(join(X_13,X_14),converse(complement(converse(join(X_14,X_13)))))
    | join(join(X_13,X_14),converse(complement(converse(join(X_14,X_13))))) != join(X_13,join(X_14,converse(complement(converse(join(X_14,X_13))))))
    | converse(top) = join(X_13,join(X_14,converse(complement(converse(join(X_14,X_13)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_13,join(X_14,converse(complement(converse(join(X_14,X_13))))))) ),[0],$fot(join(join(X_13,X_14),converse(complement(converse(join(X_14,X_13))))))]]) ).

cnf(refute_0_142,plain,
    ( converse(top) != join(join(X_13,X_14),converse(complement(converse(join(X_14,X_13)))))
    | converse(top) = join(X_13,join(X_14,converse(complement(converse(join(X_14,X_13)))))) ),
    inference(resolve,[$cnf( $equal(join(join(X_13,X_14),converse(complement(converse(join(X_14,X_13))))),join(X_13,join(X_14,converse(complement(converse(join(X_14,X_13))))))) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    converse(top) = join(X_13,join(X_14,converse(complement(converse(join(X_14,X_13)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(X_13,X_14),converse(complement(converse(join(X_14,X_13)))))) )],[refute_0_137,refute_0_142]) ).

cnf(refute_0_144,plain,
    converse(top) = join(composition(converse(top),zero),join(complement(one),converse(complement(converse(join(complement(one),composition(converse(top),zero))))))),
    inference(subst,[],[refute_0_143:[bind(X_13,$fot(composition(converse(top),zero))),bind(X_14,$fot(complement(one)))]]) ).

cnf(refute_0_145,plain,
    join(complement(one),composition(converse(X_27),complement(composition(X_27,one)))) = complement(one),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(X_27)),bind(X1,$fot(one))]]) ).

cnf(refute_0_146,plain,
    composition(X0,one) = X0,
    inference(canonicalize,[],[normalize_0_23]) ).

cnf(refute_0_147,plain,
    composition(X_27,one) = X_27,
    inference(subst,[],[refute_0_146:[bind(X0,$fot(X_27))]]) ).

cnf(refute_0_148,plain,
    ( composition(X_27,one) != X_27
    | join(complement(one),composition(converse(X_27),complement(composition(X_27,one)))) != complement(one)
    | join(complement(one),composition(converse(X_27),complement(X_27))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_27),complement(composition(X_27,one)))),complement(one)) ),[0,1,1,0],$fot(X_27)]]) ).

cnf(refute_0_149,plain,
    ( join(complement(one),composition(converse(X_27),complement(composition(X_27,one)))) != complement(one)
    | join(complement(one),composition(converse(X_27),complement(X_27))) = complement(one) ),
    inference(resolve,[$cnf( $equal(composition(X_27,one),X_27) )],[refute_0_147,refute_0_148]) ).

cnf(refute_0_150,plain,
    join(complement(one),composition(converse(X_27),complement(X_27))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_27),complement(composition(X_27,one)))),complement(one)) )],[refute_0_145,refute_0_149]) ).

cnf(refute_0_151,plain,
    join(complement(one),composition(converse(top),complement(top))) = complement(one),
    inference(subst,[],[refute_0_150:[bind(X_27,$fot(top))]]) ).

cnf(refute_0_152,plain,
    ( complement(top) != zero
    | join(complement(one),composition(converse(top),complement(top))) != complement(one)
    | join(complement(one),composition(converse(top),zero)) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(top),complement(top))),complement(one)) ),[0,1,1],$fot(zero)]]) ).

cnf(refute_0_153,plain,
    ( join(complement(one),composition(converse(top),complement(top))) != complement(one)
    | join(complement(one),composition(converse(top),zero)) = complement(one) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_152]) ).

cnf(refute_0_154,plain,
    join(complement(one),composition(converse(top),zero)) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),complement(top))),complement(one)) )],[refute_0_151,refute_0_153]) ).

cnf(refute_0_155,plain,
    ( converse(top) != join(composition(converse(top),zero),join(complement(one),converse(complement(converse(join(complement(one),composition(converse(top),zero)))))))
    | join(complement(one),composition(converse(top),zero)) != complement(one)
    | converse(top) = join(composition(converse(top),zero),join(complement(one),converse(complement(converse(complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(composition(converse(top),zero),join(complement(one),converse(complement(converse(join(complement(one),composition(converse(top),zero)))))))) ),[1,1,1,0,0,0],$fot(complement(one))]]) ).

cnf(refute_0_156,plain,
    ( converse(top) != join(composition(converse(top),zero),join(complement(one),converse(complement(converse(join(complement(one),composition(converse(top),zero)))))))
    | converse(top) = join(composition(converse(top),zero),join(complement(one),converse(complement(converse(complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),zero)),complement(one)) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    converse(top) = join(composition(converse(top),zero),join(complement(one),converse(complement(converse(complement(one)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(composition(converse(top),zero),join(complement(one),converse(complement(converse(join(complement(one),composition(converse(top),zero)))))))) )],[refute_0_144,refute_0_156]) ).

cnf(refute_0_158,plain,
    converse(join(converse(join(X_13,X_14)),X_5)) = join(join(X_13,X_14),converse(X_5)),
    inference(subst,[],[refute_0_115:[bind(X0,$fot(join(X_13,X_14)))]]) ).

cnf(refute_0_159,plain,
    ( converse(join(X_13,X_14)) != converse(join(X_14,X_13))
    | converse(join(converse(join(X_13,X_14)),X_5)) != join(join(X_13,X_14),converse(X_5))
    | converse(join(converse(join(X_14,X_13)),X_5)) = join(join(X_13,X_14),converse(X_5)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_13,X_14)),X_5)),join(join(X_13,X_14),converse(X_5))) ),[0,0,0],$fot(converse(join(X_14,X_13)))]]) ).

cnf(refute_0_160,plain,
    ( converse(join(converse(join(X_13,X_14)),X_5)) != join(join(X_13,X_14),converse(X_5))
    | converse(join(converse(join(X_14,X_13)),X_5)) = join(join(X_13,X_14),converse(X_5)) ),
    inference(resolve,[$cnf( $equal(converse(join(X_13,X_14)),converse(join(X_14,X_13))) )],[refute_0_134,refute_0_159]) ).

cnf(refute_0_161,plain,
    converse(join(converse(join(X_14,X_13)),X_5)) = join(join(X_13,X_14),converse(X_5)),
    inference(resolve,[$cnf( $equal(converse(join(converse(join(X_13,X_14)),X_5)),join(join(X_13,X_14),converse(X_5))) )],[refute_0_158,refute_0_160]) ).

cnf(refute_0_162,plain,
    join(join(X_14,X_13),converse(X_5)) = join(X_14,join(X_13,converse(X_5))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_14)),bind(X1,$fot(X_13)),bind(X2,$fot(converse(X_5)))]]) ).

cnf(refute_0_163,plain,
    converse(join(converse(join(X_14,X_13)),X_5)) = join(join(X_14,X_13),converse(X_5)),
    inference(subst,[],[refute_0_115:[bind(X0,$fot(join(X_14,X_13)))]]) ).

cnf(refute_0_164,plain,
    ( converse(join(converse(join(X_14,X_13)),X_5)) != join(join(X_14,X_13),converse(X_5))
    | join(join(X_14,X_13),converse(X_5)) != join(X_14,join(X_13,converse(X_5)))
    | converse(join(converse(join(X_14,X_13)),X_5)) = join(X_14,join(X_13,converse(X_5))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(converse(join(X_14,X_13)),X_5)))),bind(Y,$fot(join(join(X_14,X_13),converse(X_5)))),bind(Z,$fot(join(X_14,join(X_13,converse(X_5)))))]]) ).

cnf(refute_0_165,plain,
    ( join(join(X_14,X_13),converse(X_5)) != join(X_14,join(X_13,converse(X_5)))
    | converse(join(converse(join(X_14,X_13)),X_5)) = join(X_14,join(X_13,converse(X_5))) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(join(X_14,X_13)),X_5)),join(join(X_14,X_13),converse(X_5))) )],[refute_0_163,refute_0_164]) ).

cnf(refute_0_166,plain,
    converse(join(converse(join(X_14,X_13)),X_5)) = join(X_14,join(X_13,converse(X_5))),
    inference(resolve,[$cnf( $equal(join(join(X_14,X_13),converse(X_5)),join(X_14,join(X_13,converse(X_5)))) )],[refute_0_162,refute_0_165]) ).

cnf(refute_0_167,plain,
    ( converse(join(converse(join(X_14,X_13)),X_5)) != join(X_14,join(X_13,converse(X_5)))
    | converse(join(converse(join(X_14,X_13)),X_5)) != join(join(X_13,X_14),converse(X_5))
    | join(X_14,join(X_13,converse(X_5))) = join(join(X_13,X_14),converse(X_5)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_14,X_13)),X_5)),join(join(X_13,X_14),converse(X_5))) ),[0],$fot(join(X_14,join(X_13,converse(X_5))))]]) ).

cnf(refute_0_168,plain,
    ( converse(join(converse(join(X_14,X_13)),X_5)) != join(join(X_13,X_14),converse(X_5))
    | join(X_14,join(X_13,converse(X_5))) = join(join(X_13,X_14),converse(X_5)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(join(X_14,X_13)),X_5)),join(X_14,join(X_13,converse(X_5)))) )],[refute_0_166,refute_0_167]) ).

cnf(refute_0_169,plain,
    join(join(X_13,X_14),converse(X_5)) = join(X_13,join(X_14,converse(X_5))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_13)),bind(X1,$fot(X_14)),bind(X2,$fot(converse(X_5)))]]) ).

cnf(refute_0_170,plain,
    ( join(X_14,join(X_13,converse(X_5))) != join(join(X_13,X_14),converse(X_5))
    | join(join(X_13,X_14),converse(X_5)) != join(X_13,join(X_14,converse(X_5)))
    | join(X_14,join(X_13,converse(X_5))) = join(X_13,join(X_14,converse(X_5))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_14,join(X_13,converse(X_5))),join(X_13,join(X_14,converse(X_5)))) ),[0],$fot(join(join(X_13,X_14),converse(X_5)))]]) ).

cnf(refute_0_171,plain,
    ( join(X_14,join(X_13,converse(X_5))) != join(join(X_13,X_14),converse(X_5))
    | join(X_14,join(X_13,converse(X_5))) = join(X_13,join(X_14,converse(X_5))) ),
    inference(resolve,[$cnf( $equal(join(join(X_13,X_14),converse(X_5)),join(X_13,join(X_14,converse(X_5)))) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    ( converse(join(converse(join(X_14,X_13)),X_5)) != join(join(X_13,X_14),converse(X_5))
    | join(X_14,join(X_13,converse(X_5))) = join(X_13,join(X_14,converse(X_5))) ),
    inference(resolve,[$cnf( $equal(join(X_14,join(X_13,converse(X_5))),join(join(X_13,X_14),converse(X_5))) )],[refute_0_168,refute_0_171]) ).

cnf(refute_0_173,plain,
    join(X_14,join(X_13,converse(X_5))) = join(X_13,join(X_14,converse(X_5))),
    inference(resolve,[$cnf( $equal(converse(join(converse(join(X_14,X_13)),X_5)),join(join(X_13,X_14),converse(X_5))) )],[refute_0_161,refute_0_172]) ).

cnf(refute_0_174,plain,
    ( join(X_14,join(X_13,converse(X_5))) != join(X_13,join(X_14,converse(X_5)))
    | join(X_13,join(X_14,converse(X_5))) = join(X_14,join(X_13,converse(X_5))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_14,join(X_13,converse(X_5))))),bind(Y,$fot(join(X_13,join(X_14,converse(X_5)))))]]) ).

cnf(refute_0_175,plain,
    join(X_13,join(X_14,converse(X_5))) = join(X_14,join(X_13,converse(X_5))),
    inference(resolve,[$cnf( $equal(join(X_14,join(X_13,converse(X_5))),join(X_13,join(X_14,converse(X_5)))) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    join(composition(converse(top),zero),join(complement(one),converse(complement(converse(complement(one)))))) = join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))),
    inference(subst,[],[refute_0_175:[bind(X_13,$fot(composition(converse(top),zero))),bind(X_14,$fot(complement(one))),bind(X_5,$fot(complement(converse(complement(one)))))]]) ).

cnf(refute_0_177,plain,
    ( converse(top) != join(composition(converse(top),zero),join(complement(one),converse(complement(converse(complement(one))))))
    | join(composition(converse(top),zero),join(complement(one),converse(complement(converse(complement(one)))))) != join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))
    | converse(top) = join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) ),[0],$fot(join(composition(converse(top),zero),join(complement(one),converse(complement(converse(complement(one)))))))]]) ).

cnf(refute_0_178,plain,
    ( converse(top) != join(composition(converse(top),zero),join(complement(one),converse(complement(converse(complement(one))))))
    | converse(top) = join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(complement(one),converse(complement(converse(complement(one)))))),join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    converse(top) = join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(composition(converse(top),zero),join(complement(one),converse(complement(converse(complement(one))))))) )],[refute_0_157,refute_0_178]) ).

cnf(refute_0_180,plain,
    ( converse(top) != join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))
    | join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))))]]) ).

cnf(refute_0_181,plain,
    join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    ( join(X_50,join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) != join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))
    | join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) != converse(top)
    | join(X_50,converse(top)) = join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))),join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) ),[0,1],$fot(converse(top))]]) ).

cnf(refute_0_183,plain,
    ( join(X_50,join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) != join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))
    | join(X_50,converse(top)) = join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))),converse(top)) )],[refute_0_181,refute_0_182]) ).

cnf(refute_0_184,plain,
    join(X_50,converse(top)) = join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))),
    inference(resolve,[$cnf( $equal(join(X_50,join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))),join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) )],[refute_0_110,refute_0_183]) ).

cnf(refute_0_185,plain,
    join(X0,join(X_50,X_51)) = join(join(X_50,X_51),X0),
    inference(subst,[],[refute_0_3:[bind(X1,$fot(join(X_50,X_51)))]]) ).

cnf(refute_0_186,plain,
    join(X_50,join(X_51,X0)) = join(join(X_50,X_51),X0),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_50)),bind(X1,$fot(X_51)),bind(X2,$fot(X0))]]) ).

cnf(refute_0_187,plain,
    ( join(X_50,join(X_51,X0)) != join(join(X_50,X_51),X0)
    | join(join(X_50,X_51),X0) = join(X_50,join(X_51,X0)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_50,join(X_51,X0)))),bind(Y,$fot(join(join(X_50,X_51),X0)))]]) ).

cnf(refute_0_188,plain,
    join(join(X_50,X_51),X0) = join(X_50,join(X_51,X0)),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,X0)),join(join(X_50,X_51),X0)) )],[refute_0_186,refute_0_187]) ).

cnf(refute_0_189,plain,
    ( join(X0,join(X_50,X_51)) != join(join(X_50,X_51),X0)
    | join(join(X_50,X_51),X0) != join(X_50,join(X_51,X0))
    | join(X0,join(X_50,X_51)) = join(X_50,join(X_51,X0)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_50,X_51)),join(X_50,join(X_51,X0))) ),[0],$fot(join(join(X_50,X_51),X0))]]) ).

cnf(refute_0_190,plain,
    ( join(X0,join(X_50,X_51)) != join(join(X_50,X_51),X0)
    | join(X0,join(X_50,X_51)) = join(X_50,join(X_51,X0)) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,X_51),X0),join(X_50,join(X_51,X0))) )],[refute_0_188,refute_0_189]) ).

cnf(refute_0_191,plain,
    join(X0,join(X_50,X_51)) = join(X_50,join(X_51,X0)),
    inference(resolve,[$cnf( $equal(join(X0,join(X_50,X_51)),join(join(X_50,X_51),X0)) )],[refute_0_185,refute_0_190]) ).

cnf(refute_0_192,plain,
    ( join(X0,join(X_50,X_51)) != join(X_50,join(X_51,X0))
    | join(X_50,join(X_51,X0)) = join(X0,join(X_50,X_51)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_50,X_51)))),bind(Y,$fot(join(X_50,join(X_51,X0))))]]) ).

cnf(refute_0_193,plain,
    join(X_50,join(X_51,X0)) = join(X0,join(X_50,X_51)),
    inference(resolve,[$cnf( $equal(join(X0,join(X_50,X_51)),join(X_50,join(X_51,X0))) )],[refute_0_191,refute_0_192]) ).

cnf(refute_0_194,plain,
    join(converse(complement(converse(complement(one)))),join(X_50,composition(converse(top),zero))) = join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(composition(converse(top),zero))),bind(X_50,$fot(converse(complement(converse(complement(one)))))),bind(X_51,$fot(X_50))]]) ).

cnf(refute_0_195,plain,
    join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)) = join(converse(complement(converse(complement(one)))),join(X_50,composition(converse(top),zero))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(converse(complement(converse(complement(one)))))),bind(X1,$fot(X_50)),bind(X2,$fot(composition(converse(top),zero)))]]) ).

cnf(refute_0_196,plain,
    ( join(converse(complement(converse(complement(one)))),join(X_50,composition(converse(top),zero))) != join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))
    | join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)) != join(converse(complement(converse(complement(one)))),join(X_50,composition(converse(top),zero)))
    | join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)) = join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)))),bind(Y,$fot(join(converse(complement(converse(complement(one)))),join(X_50,composition(converse(top),zero))))),bind(Z,$fot(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))))]]) ).

cnf(refute_0_197,plain,
    ( join(converse(complement(converse(complement(one)))),join(X_50,composition(converse(top),zero))) != join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))
    | join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)) = join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)) ),
    inference(resolve,[$cnf( $equal(join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)),join(converse(complement(converse(complement(one)))),join(X_50,composition(converse(top),zero)))) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)) = join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(one)))),join(X_50,composition(converse(top),zero))),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) )],[refute_0_194,refute_0_197]) ).

cnf(refute_0_199,plain,
    join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))) = join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))),
    introduced(tautology,[refl,[$fot(join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))))]]) ).

cnf(refute_0_200,plain,
    ( join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))) != join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)))
    | join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)) != join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))
    | join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))),join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)))) ),[1,1],$fot(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))]]) ).

cnf(refute_0_201,plain,
    ( join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)) != join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))
    | join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))),join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)))) )],[refute_0_199,refute_0_200]) ).

cnf(refute_0_202,plain,
    join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))),
    inference(resolve,[$cnf( $equal(join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) )],[refute_0_198,refute_0_201]) ).

cnf(refute_0_203,plain,
    join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) = join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))),
    inference(subst,[],[refute_0_191:[bind(X0,$fot(composition(converse(top),zero))),bind(X_50,$fot(complement(one))),bind(X_51,$fot(join(converse(complement(converse(complement(one)))),X_50)))]]) ).

cnf(refute_0_204,plain,
    ( join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))) != join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))
    | join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) != join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)))
    | join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))))),bind(Y,$fot(join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))))),bind(Z,$fot(join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))))]]) ).

cnf(refute_0_205,plain,
    ( join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))) != join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))
    | join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))),join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero)))) )],[refute_0_203,refute_0_204]) ).

cnf(refute_0_206,plain,
    join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(join(converse(complement(converse(complement(one)))),X_50),composition(converse(top),zero))),join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))) )],[refute_0_202,refute_0_205]) ).

cnf(refute_0_207,plain,
    join(converse(complement(converse(complement(one)))),join(X_50,complement(one))) = join(complement(one),join(converse(complement(converse(complement(one)))),X_50)),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(complement(one))),bind(X_50,$fot(converse(complement(converse(complement(one)))))),bind(X_51,$fot(X_50))]]) ).

cnf(refute_0_208,plain,
    join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) = join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))),
    introduced(tautology,[refl,[$fot(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))))]]) ).

cnf(refute_0_209,plain,
    ( join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) != join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one))))
    | join(converse(complement(converse(complement(one)))),join(X_50,complement(one))) != join(complement(one),join(converse(complement(converse(complement(one)))),X_50))
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) = join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one))))) ),[1,1],$fot(join(complement(one),join(converse(complement(converse(complement(one)))),X_50)))]]) ).

cnf(refute_0_210,plain,
    ( join(converse(complement(converse(complement(one)))),join(X_50,complement(one))) != join(complement(one),join(converse(complement(converse(complement(one)))),X_50))
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) = join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one))))) )],[refute_0_208,refute_0_209]) ).

cnf(refute_0_211,plain,
    join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) = join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(one)))),join(X_50,complement(one))),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) )],[refute_0_207,refute_0_210]) ).

cnf(refute_0_212,plain,
    ( join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) != join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) != join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50)))
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))))),bind(Y,$fot(join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))))),bind(Z,$fot(join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))))]]) ).

cnf(refute_0_213,plain,
    ( join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) != join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))),join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50)))) )],[refute_0_211,refute_0_212]) ).

cnf(refute_0_214,plain,
    join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))),join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))) )],[refute_0_206,refute_0_213]) ).

cnf(refute_0_215,plain,
    join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) = join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))),
    inference(subst,[],[refute_0_191:[bind(X0,$fot(join(X_50,complement(one)))),bind(X_50,$fot(composition(converse(top),zero))),bind(X_51,$fot(converse(complement(converse(complement(one))))))]]) ).

cnf(refute_0_216,plain,
    ( join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) != join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))
    | join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) != join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one))))
    | join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))))),bind(Y,$fot(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))))),bind(Z,$fot(join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))))]]) ).

cnf(refute_0_217,plain,
    ( join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))) != join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))
    | join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one))))) )],[refute_0_215,refute_0_216]) ).

cnf(refute_0_218,plain,
    join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),join(X_50,complement(one)))),join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))) )],[refute_0_214,refute_0_217]) ).

cnf(refute_0_219,plain,
    ( join(X_50,converse(top)) != join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))
    | join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) != join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))
    | join(X_50,converse(top)) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,converse(top)),join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))) ),[0],$fot(join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))))]]) ).

cnf(refute_0_220,plain,
    ( join(X_50,converse(top)) != join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))
    | join(X_50,converse(top)) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))),join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))) )],[refute_0_218,refute_0_219]) ).

cnf(refute_0_221,plain,
    join(X_50,converse(top)) = join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))),
    inference(resolve,[$cnf( $equal(join(X_50,converse(top)),join(join(X_50,complement(one)),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) )],[refute_0_184,refute_0_220]) ).

cnf(refute_0_222,plain,
    join(X_50,join(converse(complement(converse(X_50))),X_52)) = join(join(X_50,converse(complement(converse(X_50)))),X_52),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_50)),bind(X1,$fot(converse(complement(converse(X_50))))),bind(X2,$fot(X_52))]]) ).

cnf(refute_0_223,plain,
    converse(top) = join(X_50,converse(complement(converse(X_50)))),
    inference(subst,[],[refute_0_122:[bind(X_8,$fot(X_50))]]) ).

cnf(refute_0_224,plain,
    ( converse(top) != join(X_50,converse(complement(converse(X_50))))
    | join(X_50,converse(complement(converse(X_50)))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_50,converse(complement(converse(X_50))))))]]) ).

cnf(refute_0_225,plain,
    join(X_50,converse(complement(converse(X_50)))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(X_50,converse(complement(converse(X_50))))) )],[refute_0_223,refute_0_224]) ).

cnf(refute_0_226,plain,
    ( join(X_50,converse(complement(converse(X_50)))) != converse(top)
    | join(X_50,join(converse(complement(converse(X_50))),X_52)) != join(join(X_50,converse(complement(converse(X_50)))),X_52)
    | join(X_50,join(converse(complement(converse(X_50))),X_52)) = join(converse(top),X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(converse(complement(converse(X_50))),X_52)),join(join(X_50,converse(complement(converse(X_50)))),X_52)) ),[1,0],$fot(converse(top))]]) ).

cnf(refute_0_227,plain,
    ( join(X_50,join(converse(complement(converse(X_50))),X_52)) != join(join(X_50,converse(complement(converse(X_50)))),X_52)
    | join(X_50,join(converse(complement(converse(X_50))),X_52)) = join(converse(top),X_52) ),
    inference(resolve,[$cnf( $equal(join(X_50,converse(complement(converse(X_50)))),converse(top)) )],[refute_0_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    join(X_50,join(converse(complement(converse(X_50))),X_52)) = join(converse(top),X_52),
    inference(resolve,[$cnf( $equal(join(X_50,join(converse(complement(converse(X_50))),X_52)),join(join(X_50,converse(complement(converse(X_50)))),X_52)) )],[refute_0_222,refute_0_227]) ).

cnf(refute_0_229,plain,
    join(complement(one),join(converse(complement(converse(complement(one)))),X_50)) = join(converse(top),X_50),
    inference(subst,[],[refute_0_228:[bind(X_50,$fot(complement(one))),bind(X_52,$fot(X_50))]]) ).

cnf(refute_0_230,plain,
    join(complement(one),join(composition(converse(top),zero),X_52)) = join(join(complement(one),composition(converse(top),zero)),X_52),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(complement(one))),bind(X1,$fot(composition(converse(top),zero))),bind(X2,$fot(X_52))]]) ).

cnf(refute_0_231,plain,
    ( join(complement(one),composition(converse(top),zero)) != complement(one)
    | join(complement(one),join(composition(converse(top),zero),X_52)) != join(join(complement(one),composition(converse(top),zero)),X_52)
    | join(complement(one),join(composition(converse(top),zero),X_52)) = join(complement(one),X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X_52)),join(join(complement(one),composition(converse(top),zero)),X_52)) ),[1,0],$fot(complement(one))]]) ).

cnf(refute_0_232,plain,
    ( join(complement(one),join(composition(converse(top),zero),X_52)) != join(join(complement(one),composition(converse(top),zero)),X_52)
    | join(complement(one),join(composition(converse(top),zero),X_52)) = join(complement(one),X_52) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),zero)),complement(one)) )],[refute_0_154,refute_0_231]) ).

cnf(refute_0_233,plain,
    join(complement(one),join(composition(converse(top),zero),X_52)) = join(complement(one),X_52),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X_52)),join(join(complement(one),composition(converse(top),zero)),X_52)) )],[refute_0_230,refute_0_232]) ).

cnf(refute_0_234,plain,
    join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) = join(complement(one),join(converse(complement(converse(complement(one)))),X_50)),
    inference(subst,[],[refute_0_233:[bind(X_52,$fot(join(converse(complement(converse(complement(one)))),X_50)))]]) ).

cnf(refute_0_235,plain,
    ( join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) != join(complement(one),join(converse(complement(converse(complement(one)))),X_50))
    | join(complement(one),join(converse(complement(converse(complement(one)))),X_50)) != join(converse(top),X_50)
    | join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) = join(converse(top),X_50) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))))),bind(Y,$fot(join(complement(one),join(converse(complement(converse(complement(one)))),X_50)))),bind(Z,$fot(join(converse(top),X_50)))]]) ).

cnf(refute_0_236,plain,
    ( join(complement(one),join(converse(complement(converse(complement(one)))),X_50)) != join(converse(top),X_50)
    | join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) = join(converse(top),X_50) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))),join(complement(one),join(converse(complement(converse(complement(one)))),X_50))) )],[refute_0_234,refute_0_235]) ).

cnf(refute_0_237,plain,
    join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) = join(converse(top),X_50),
    inference(resolve,[$cnf( $equal(join(complement(one),join(converse(complement(converse(complement(one)))),X_50)),join(converse(top),X_50)) )],[refute_0_229,refute_0_236]) ).

cnf(refute_0_238,plain,
    ( join(X_50,converse(top)) != join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))
    | join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))) != join(converse(top),X_50)
    | join(X_50,converse(top)) = join(converse(top),X_50) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,converse(top)),join(converse(top),X_50)) ),[0],$fot(join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))))]]) ).

cnf(refute_0_239,plain,
    ( join(X_50,converse(top)) != join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))
    | join(X_50,converse(top)) = join(converse(top),X_50) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50))),join(converse(top),X_50)) )],[refute_0_237,refute_0_238]) ).

cnf(refute_0_240,plain,
    join(X_50,converse(top)) = join(converse(top),X_50),
    inference(resolve,[$cnf( $equal(join(X_50,converse(top)),join(complement(one),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),X_50)))) )],[refute_0_221,refute_0_239]) ).

cnf(refute_0_241,plain,
    converse(top) = join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))))))),
    inference(subst,[],[refute_0_143:[bind(X_13,$fot(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))),bind(X_14,$fot(top))]]) ).

cnf(refute_0_242,plain,
    converse(join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) = join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))),
    inference(subst,[],[refute_0_115:[bind(X_5,$fot(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))]]) ).

cnf(refute_0_243,plain,
    converse(top) = join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0)))))),
    inference(subst,[],[refute_0_122:[bind(X_8,$fot(join(X_4,converse(X0))))]]) ).

cnf(refute_0_244,plain,
    converse(join(X_4,converse(X0))) = join(converse(X_4),converse(converse(X0))),
    inference(subst,[],[refute_0_111:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).

cnf(refute_0_245,plain,
    ( converse(converse(X0)) != X0
    | converse(join(X_4,converse(X0))) != join(converse(X_4),converse(converse(X0)))
    | converse(join(X_4,converse(X0))) = join(converse(X_4),X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).

cnf(refute_0_246,plain,
    ( converse(join(X_4,converse(X0))) != join(converse(X_4),converse(converse(X0)))
    | converse(join(X_4,converse(X0))) = join(converse(X_4),X0) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_0,refute_0_245]) ).

cnf(refute_0_247,plain,
    converse(join(X_4,converse(X0))) = join(converse(X_4),X0),
    inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) )],[refute_0_244,refute_0_246]) ).

cnf(refute_0_248,plain,
    ( converse(join(X_4,converse(X0))) != join(converse(X_4),X0)
    | converse(top) != join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))
    | converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))) ),[1,1,0,0],$fot(join(converse(X_4),X0))]]) ).

cnf(refute_0_249,plain,
    ( converse(top) != join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))
    | converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),X0)) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))) )],[refute_0_243,refute_0_249]) ).

cnf(refute_0_251,plain,
    join(converse(X0),converse(complement(join(converse(X_4),X0)))) = converse(join(X0,complement(join(converse(X_4),X0)))),
    inference(subst,[],[refute_0_129:[bind(X1,$fot(complement(join(converse(X_4),X0))))]]) ).

cnf(refute_0_252,plain,
    join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),
    introduced(tautology,[refl,[$fot(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))))]]) ).

cnf(refute_0_253,plain,
    ( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))
    | join(converse(X0),converse(complement(join(converse(X_4),X0)))) != converse(join(X0,complement(join(converse(X_4),X0))))
    | join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) ),[1,1],$fot(converse(join(X0,complement(join(converse(X_4),X0)))))]]) ).

cnf(refute_0_254,plain,
    ( join(converse(X0),converse(complement(join(converse(X_4),X0)))) != converse(join(X0,complement(join(converse(X_4),X0))))
    | join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
    inference(resolve,[$cnf( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) )],[refute_0_252,refute_0_253]) ).

cnf(refute_0_255,plain,
    join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
    inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(join(converse(X_4),X0)))),converse(join(X0,complement(join(converse(X_4),X0))))) )],[refute_0_251,refute_0_254]) ).

cnf(refute_0_256,plain,
    join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0))),bind(X2,$fot(converse(complement(join(converse(X_4),X0)))))]]) ).

cnf(refute_0_257,plain,
    ( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
    | join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) != join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))
    | join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))))),bind(Y,$fot(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))))),bind(Z,$fot(join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))))]]) ).

cnf(refute_0_258,plain,
    ( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
    | join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
    inference(resolve,[$cnf( $equal(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) )],[refute_0_256,refute_0_257]) ).

cnf(refute_0_259,plain,
    join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
    inference(resolve,[$cnf( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) )],[refute_0_255,refute_0_258]) ).

cnf(refute_0_260,plain,
    ( converse(top) != join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))
    | join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
    | converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) ),[0],$fot(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))))]]) ).

cnf(refute_0_261,plain,
    ( converse(top) != join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))
    | converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
    inference(resolve,[$cnf( $equal(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) )],[refute_0_259,refute_0_260]) ).

cnf(refute_0_262,plain,
    converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))) )],[refute_0_250,refute_0_261]) ).

cnf(refute_0_263,plain,
    converse(top) = join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24))))),
    inference(subst,[],[refute_0_262:[bind(X0,$fot(X_24)),bind(X_4,$fot(converse(X0)))]]) ).

cnf(refute_0_264,plain,
    ( converse(top) != join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))
    | join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))))]]) ).

cnf(refute_0_265,plain,
    join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) )],[refute_0_263,refute_0_264]) ).

cnf(refute_0_266,plain,
    ( converse(join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) != join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))
    | join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24))))) != converse(top)
    | converse(converse(top)) = join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))),join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))) ),[0,0],$fot(converse(top))]]) ).

cnf(refute_0_267,plain,
    ( converse(join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) != join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))
    | converse(converse(top)) = join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) ),
    inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24))))),converse(top)) )],[refute_0_265,refute_0_266]) ).

cnf(refute_0_268,plain,
    converse(converse(top)) = join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))),join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))) )],[refute_0_242,refute_0_267]) ).

cnf(refute_0_269,plain,
    converse(converse(top)) = top,
    inference(subst,[],[refute_0_0:[bind(X0,$fot(top))]]) ).

cnf(refute_0_270,plain,
    ( converse(converse(top)) != join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))
    | converse(converse(top)) != top
    | top = join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))) ),[0],$fot(top)]]) ).

cnf(refute_0_271,plain,
    ( converse(converse(top)) != join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))
    | top = join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) ),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    join(converse(converse(X0)),X_24) = join(converse(converse(X0)),X_24),
    introduced(tautology,[refl,[$fot(join(converse(converse(X0)),X_24))]]) ).

cnf(refute_0_273,plain,
    ( converse(converse(X0)) != X0
    | join(converse(converse(X0)),X_24) != join(converse(converse(X0)),X_24)
    | join(converse(converse(X0)),X_24) = join(X0,X_24) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(X0)),X_24),join(converse(converse(X0)),X_24)) ),[1,0],$fot(X0)]]) ).

cnf(refute_0_274,plain,
    ( converse(converse(X0)) != X0
    | join(converse(converse(X0)),X_24) = join(X0,X_24) ),
    inference(resolve,[$cnf( $equal(join(converse(converse(X0)),X_24),join(converse(converse(X0)),X_24)) )],[refute_0_272,refute_0_273]) ).

cnf(refute_0_275,plain,
    join(converse(converse(X0)),X_24) = join(X0,X_24),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_0,refute_0_274]) ).

cnf(refute_0_276,plain,
    complement(join(converse(converse(X0)),X_24)) = complement(join(converse(converse(X0)),X_24)),
    introduced(tautology,[refl,[$fot(complement(join(converse(converse(X0)),X_24)))]]) ).

cnf(refute_0_277,plain,
    ( complement(join(converse(converse(X0)),X_24)) != complement(join(converse(converse(X0)),X_24))
    | join(converse(converse(X0)),X_24) != join(X0,X_24)
    | complement(join(converse(converse(X0)),X_24)) = complement(join(X0,X_24)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(converse(X0)),X_24)),complement(join(converse(converse(X0)),X_24))) ),[1,0],$fot(join(X0,X_24))]]) ).

cnf(refute_0_278,plain,
    ( join(converse(converse(X0)),X_24) != join(X0,X_24)
    | complement(join(converse(converse(X0)),X_24)) = complement(join(X0,X_24)) ),
    inference(resolve,[$cnf( $equal(complement(join(converse(converse(X0)),X_24)),complement(join(converse(converse(X0)),X_24))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    complement(join(converse(converse(X0)),X_24)) = complement(join(X0,X_24)),
    inference(resolve,[$cnf( $equal(join(converse(converse(X0)),X_24),join(X0,X_24)) )],[refute_0_275,refute_0_278]) ).

cnf(refute_0_280,plain,
    join(X_24,complement(join(converse(converse(X0)),X_24))) = join(X_24,complement(join(converse(converse(X0)),X_24))),
    introduced(tautology,[refl,[$fot(join(X_24,complement(join(converse(converse(X0)),X_24))))]]) ).

cnf(refute_0_281,plain,
    ( complement(join(converse(converse(X0)),X_24)) != complement(join(X0,X_24))
    | join(X_24,complement(join(converse(converse(X0)),X_24))) != join(X_24,complement(join(converse(converse(X0)),X_24)))
    | join(X_24,complement(join(converse(converse(X0)),X_24))) = join(X_24,complement(join(X0,X_24))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_24,complement(join(converse(converse(X0)),X_24))),join(X_24,complement(join(converse(converse(X0)),X_24)))) ),[1,1],$fot(complement(join(X0,X_24)))]]) ).

cnf(refute_0_282,plain,
    ( complement(join(converse(converse(X0)),X_24)) != complement(join(X0,X_24))
    | join(X_24,complement(join(converse(converse(X0)),X_24))) = join(X_24,complement(join(X0,X_24))) ),
    inference(resolve,[$cnf( $equal(join(X_24,complement(join(converse(converse(X0)),X_24))),join(X_24,complement(join(converse(converse(X0)),X_24)))) )],[refute_0_280,refute_0_281]) ).

cnf(refute_0_283,plain,
    join(X_24,complement(join(converse(converse(X0)),X_24))) = join(X_24,complement(join(X0,X_24))),
    inference(resolve,[$cnf( $equal(complement(join(converse(converse(X0)),X_24)),complement(join(X0,X_24))) )],[refute_0_279,refute_0_282]) ).

cnf(refute_0_284,plain,
    converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))) = join(X_24,complement(join(converse(converse(X0)),X_24))),
    inference(subst,[],[refute_0_0:[bind(X0,$fot(join(X_24,complement(join(converse(converse(X0)),X_24)))))]]) ).

cnf(refute_0_285,plain,
    ( converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))) != join(X_24,complement(join(converse(converse(X0)),X_24)))
    | join(X_24,complement(join(converse(converse(X0)),X_24))) != join(X_24,complement(join(X0,X_24)))
    | converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))) = join(X_24,complement(join(X0,X_24))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))),bind(Y,$fot(join(X_24,complement(join(converse(converse(X0)),X_24))))),bind(Z,$fot(join(X_24,complement(join(X0,X_24)))))]]) ).

cnf(refute_0_286,plain,
    ( join(X_24,complement(join(converse(converse(X0)),X_24))) != join(X_24,complement(join(X0,X_24)))
    | converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))) = join(X_24,complement(join(X0,X_24))) ),
    inference(resolve,[$cnf( $equal(converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))),join(X_24,complement(join(converse(converse(X0)),X_24)))) )],[refute_0_284,refute_0_285]) ).

cnf(refute_0_287,plain,
    converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))) = join(X_24,complement(join(X0,X_24))),
    inference(resolve,[$cnf( $equal(join(X_24,complement(join(converse(converse(X0)),X_24))),join(X_24,complement(join(X0,X_24)))) )],[refute_0_283,refute_0_286]) ).

cnf(refute_0_288,plain,
    join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) = join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))),
    introduced(tautology,[refl,[$fot(join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))))]]) ).

cnf(refute_0_289,plain,
    ( converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))) != join(X_24,complement(join(X0,X_24)))
    | join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) != join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))
    | join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) = join(X0,join(X_24,complement(join(X0,X_24)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))),join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))) ),[1,1],$fot(join(X_24,complement(join(X0,X_24))))]]) ).

cnf(refute_0_290,plain,
    ( converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))) != join(X_24,complement(join(X0,X_24)))
    | join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) = join(X0,join(X_24,complement(join(X0,X_24)))) ),
    inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))),join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))) )],[refute_0_288,refute_0_289]) ).

cnf(refute_0_291,plain,
    join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) = join(X0,join(X_24,complement(join(X0,X_24)))),
    inference(resolve,[$cnf( $equal(converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))),join(X_24,complement(join(X0,X_24)))) )],[refute_0_287,refute_0_290]) ).

cnf(refute_0_292,plain,
    ( join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))) != join(X0,join(X_24,complement(join(X0,X_24))))
    | top != join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))
    | top = join(X0,join(X_24,complement(join(X0,X_24)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))) ),[1],$fot(join(X0,join(X_24,complement(join(X0,X_24)))))]]) ).

cnf(refute_0_293,plain,
    ( top != join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))
    | top = join(X0,join(X_24,complement(join(X0,X_24)))) ),
    inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24)))))),join(X0,join(X_24,complement(join(X0,X_24))))) )],[refute_0_291,refute_0_292]) ).

cnf(refute_0_294,plain,
    ( converse(converse(top)) != join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))
    | top = join(X0,join(X_24,complement(join(X0,X_24)))) ),
    inference(resolve,[$cnf( $equal(top,join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))) )],[refute_0_271,refute_0_293]) ).

cnf(refute_0_295,plain,
    top = join(X0,join(X_24,complement(join(X0,X_24)))),
    inference(resolve,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(join(X_24,complement(join(converse(converse(X0)),X_24))))))) )],[refute_0_268,refute_0_294]) ).

cnf(refute_0_296,plain,
    top = join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(complement(composition(converse(zero),top))))))),
    inference(subst,[],[refute_0_295:[bind(X0,$fot(top)),bind(X_24,$fot(converse(complement(composition(converse(zero),top)))))]]) ).

cnf(refute_0_297,plain,
    join(one,join(complement(one),converse(complement(composition(converse(zero),top))))) = join(top,converse(complement(composition(converse(zero),top)))),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(one)),bind(X_52,$fot(converse(complement(composition(converse(zero),top)))))]]) ).

cnf(refute_0_298,plain,
    join(complement(one),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) = join(complement(one),converse(complement(converse(composition(converse(top),zero))))),
    inference(subst,[],[refute_0_233:[bind(X_52,$fot(converse(complement(converse(composition(converse(top),zero))))))]]) ).

cnf(refute_0_299,plain,
    converse(top) = join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))),
    inference(subst,[],[refute_0_122:[bind(X_8,$fot(composition(converse(top),zero)))]]) ).

cnf(refute_0_300,plain,
    ( converse(top) != join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))
    | join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))))]]) ).

cnf(refute_0_301,plain,
    join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_299,refute_0_300]) ).

cnf(refute_0_302,plain,
    ( join(complement(one),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) != join(complement(one),converse(complement(converse(composition(converse(top),zero)))))
    | join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))) != converse(top)
    | join(complement(one),converse(top)) = join(complement(one),converse(complement(converse(composition(converse(top),zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) ),[0,1],$fot(converse(top))]]) ).

cnf(refute_0_303,plain,
    ( join(complement(one),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) != join(complement(one),converse(complement(converse(composition(converse(top),zero)))))
    | join(complement(one),converse(top)) = join(complement(one),converse(complement(converse(composition(converse(top),zero))))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))),converse(top)) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    join(complement(one),converse(top)) = join(complement(one),converse(complement(converse(composition(converse(top),zero))))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_298,refute_0_303]) ).

cnf(refute_0_305,plain,
    converse(composition(converse(X0),X_16)) = composition(converse(X_16),converse(converse(X0))),
    inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_16))]]) ).

cnf(refute_0_306,plain,
    ( converse(composition(converse(X0),X_16)) != composition(converse(X_16),converse(converse(X0)))
    | converse(converse(X0)) != X0
    | converse(composition(converse(X0),X_16)) = composition(converse(X_16),X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_16)),composition(converse(X_16),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).

cnf(refute_0_307,plain,
    ( converse(composition(converse(X0),X_16)) != composition(converse(X_16),converse(converse(X0)))
    | converse(composition(converse(X0),X_16)) = composition(converse(X_16),X0) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_0,refute_0_306]) ).

cnf(refute_0_308,plain,
    converse(composition(converse(X0),X_16)) = composition(converse(X_16),X0),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_16)),composition(converse(X_16),converse(converse(X0)))) )],[refute_0_305,refute_0_307]) ).

cnf(refute_0_309,plain,
    converse(composition(converse(top),zero)) = composition(converse(zero),top),
    inference(subst,[],[refute_0_308:[bind(X0,$fot(top)),bind(X_16,$fot(zero))]]) ).

cnf(refute_0_310,plain,
    complement(converse(composition(converse(top),zero))) = complement(converse(composition(converse(top),zero))),
    introduced(tautology,[refl,[$fot(complement(converse(composition(converse(top),zero))))]]) ).

cnf(refute_0_311,plain,
    ( complement(converse(composition(converse(top),zero))) != complement(converse(composition(converse(top),zero)))
    | converse(composition(converse(top),zero)) != composition(converse(zero),top)
    | complement(converse(composition(converse(top),zero))) = complement(composition(converse(zero),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(converse(top),zero))),complement(converse(composition(converse(top),zero)))) ),[1,0],$fot(composition(converse(zero),top))]]) ).

cnf(refute_0_312,plain,
    ( converse(composition(converse(top),zero)) != composition(converse(zero),top)
    | complement(converse(composition(converse(top),zero))) = complement(composition(converse(zero),top)) ),
    inference(resolve,[$cnf( $equal(complement(converse(composition(converse(top),zero))),complement(converse(composition(converse(top),zero)))) )],[refute_0_310,refute_0_311]) ).

cnf(refute_0_313,plain,
    complement(converse(composition(converse(top),zero))) = complement(composition(converse(zero),top)),
    inference(resolve,[$cnf( $equal(converse(composition(converse(top),zero)),composition(converse(zero),top)) )],[refute_0_309,refute_0_312]) ).

cnf(refute_0_314,plain,
    converse(complement(converse(composition(converse(top),zero)))) = converse(complement(converse(composition(converse(top),zero)))),
    introduced(tautology,[refl,[$fot(converse(complement(converse(composition(converse(top),zero)))))]]) ).

cnf(refute_0_315,plain,
    ( complement(converse(composition(converse(top),zero))) != complement(composition(converse(zero),top))
    | converse(complement(converse(composition(converse(top),zero)))) != converse(complement(converse(composition(converse(top),zero))))
    | converse(complement(converse(composition(converse(top),zero)))) = converse(complement(composition(converse(zero),top))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(composition(converse(top),zero)))),converse(complement(converse(composition(converse(top),zero))))) ),[1,0],$fot(complement(composition(converse(zero),top)))]]) ).

cnf(refute_0_316,plain,
    ( complement(converse(composition(converse(top),zero))) != complement(composition(converse(zero),top))
    | converse(complement(converse(composition(converse(top),zero)))) = converse(complement(composition(converse(zero),top))) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(composition(converse(top),zero)))),converse(complement(converse(composition(converse(top),zero))))) )],[refute_0_314,refute_0_315]) ).

cnf(refute_0_317,plain,
    converse(complement(converse(composition(converse(top),zero)))) = converse(complement(composition(converse(zero),top))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(converse(top),zero))),complement(composition(converse(zero),top))) )],[refute_0_313,refute_0_316]) ).

cnf(refute_0_318,plain,
    join(complement(one),converse(complement(converse(composition(converse(top),zero))))) = join(complement(one),converse(complement(converse(composition(converse(top),zero))))),
    introduced(tautology,[refl,[$fot(join(complement(one),converse(complement(converse(composition(converse(top),zero))))))]]) ).

cnf(refute_0_319,plain,
    ( converse(complement(converse(composition(converse(top),zero)))) != converse(complement(composition(converse(zero),top)))
    | join(complement(one),converse(complement(converse(composition(converse(top),zero))))) != join(complement(one),converse(complement(converse(composition(converse(top),zero)))))
    | join(complement(one),converse(complement(converse(composition(converse(top),zero))))) = join(complement(one),converse(complement(composition(converse(zero),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(complement(converse(composition(converse(top),zero))))),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) ),[1,1],$fot(converse(complement(composition(converse(zero),top))))]]) ).

cnf(refute_0_320,plain,
    ( converse(complement(converse(composition(converse(top),zero)))) != converse(complement(composition(converse(zero),top)))
    | join(complement(one),converse(complement(converse(composition(converse(top),zero))))) = join(complement(one),converse(complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(converse(composition(converse(top),zero))))),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    join(complement(one),converse(complement(converse(composition(converse(top),zero))))) = join(complement(one),converse(complement(composition(converse(zero),top)))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(composition(converse(top),zero)))),converse(complement(composition(converse(zero),top)))) )],[refute_0_317,refute_0_320]) ).

cnf(refute_0_322,plain,
    ( join(complement(one),converse(complement(converse(composition(converse(top),zero))))) != join(complement(one),converse(complement(composition(converse(zero),top))))
    | join(complement(one),converse(top)) != join(complement(one),converse(complement(converse(composition(converse(top),zero)))))
    | join(complement(one),converse(top)) = join(complement(one),converse(complement(composition(converse(zero),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(top)),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) ),[1],$fot(join(complement(one),converse(complement(composition(converse(zero),top)))))]]) ).

cnf(refute_0_323,plain,
    ( join(complement(one),converse(top)) != join(complement(one),converse(complement(converse(composition(converse(top),zero)))))
    | join(complement(one),converse(top)) = join(complement(one),converse(complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(converse(composition(converse(top),zero))))),join(complement(one),converse(complement(composition(converse(zero),top))))) )],[refute_0_321,refute_0_322]) ).

cnf(refute_0_324,plain,
    join(complement(one),converse(top)) = join(complement(one),converse(complement(composition(converse(zero),top)))),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(top)),join(complement(one),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_304,refute_0_323]) ).

cnf(refute_0_325,plain,
    ( join(complement(one),converse(top)) != join(complement(one),converse(complement(composition(converse(zero),top))))
    | join(complement(one),converse(complement(composition(converse(zero),top)))) = join(complement(one),converse(top)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(one),converse(top)))),bind(Y,$fot(join(complement(one),converse(complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_326,plain,
    join(complement(one),converse(complement(composition(converse(zero),top)))) = join(complement(one),converse(top)),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(top)),join(complement(one),converse(complement(composition(converse(zero),top))))) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    ( join(complement(one),converse(complement(composition(converse(zero),top)))) != join(complement(one),converse(top))
    | join(one,join(complement(one),converse(complement(composition(converse(zero),top))))) != join(top,converse(complement(composition(converse(zero),top))))
    | join(one,join(complement(one),converse(top))) = join(top,converse(complement(composition(converse(zero),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),converse(complement(composition(converse(zero),top))))),join(top,converse(complement(composition(converse(zero),top))))) ),[0,1],$fot(join(complement(one),converse(top)))]]) ).

cnf(refute_0_328,plain,
    ( join(one,join(complement(one),converse(complement(composition(converse(zero),top))))) != join(top,converse(complement(composition(converse(zero),top))))
    | join(one,join(complement(one),converse(top))) = join(top,converse(complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(composition(converse(zero),top)))),join(complement(one),converse(top))) )],[refute_0_326,refute_0_327]) ).

cnf(refute_0_329,plain,
    join(one,join(complement(one),converse(top))) = join(top,converse(complement(composition(converse(zero),top)))),
    inference(resolve,[$cnf( $equal(join(one,join(complement(one),converse(complement(composition(converse(zero),top))))),join(top,converse(complement(composition(converse(zero),top))))) )],[refute_0_297,refute_0_328]) ).

cnf(refute_0_330,plain,
    join(one,join(complement(one),converse(top))) = join(top,converse(top)),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(one)),bind(X_52,$fot(converse(top)))]]) ).

cnf(refute_0_331,plain,
    ( join(one,join(complement(one),converse(top))) != join(top,converse(complement(composition(converse(zero),top))))
    | join(one,join(complement(one),converse(top))) != join(top,converse(top))
    | join(top,converse(top)) = join(top,converse(complement(composition(converse(zero),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),converse(top))),join(top,converse(complement(composition(converse(zero),top))))) ),[0],$fot(join(top,converse(top)))]]) ).

cnf(refute_0_332,plain,
    ( join(one,join(complement(one),converse(top))) != join(top,converse(complement(composition(converse(zero),top))))
    | join(top,converse(top)) = join(top,converse(complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(join(one,join(complement(one),converse(top))),join(top,converse(top))) )],[refute_0_330,refute_0_331]) ).

cnf(refute_0_333,plain,
    join(top,converse(top)) = join(top,converse(complement(composition(converse(zero),top)))),
    inference(resolve,[$cnf( $equal(join(one,join(complement(one),converse(top))),join(top,converse(complement(composition(converse(zero),top))))) )],[refute_0_329,refute_0_332]) ).

cnf(refute_0_334,plain,
    ( join(top,converse(top)) != join(top,converse(complement(composition(converse(zero),top))))
    | join(top,converse(complement(composition(converse(zero),top)))) = join(top,converse(top)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(top,converse(top)))),bind(Y,$fot(join(top,converse(complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_335,plain,
    join(top,converse(complement(composition(converse(zero),top)))) = join(top,converse(top)),
    inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,converse(complement(composition(converse(zero),top))))) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    ( join(top,converse(complement(composition(converse(zero),top)))) != join(top,converse(top))
    | top != join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(complement(composition(converse(zero),top)))))))
    | top = join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(complement(composition(converse(zero),top)))))))) ),[1,1,1,0],$fot(join(top,converse(top)))]]) ).

cnf(refute_0_337,plain,
    ( top != join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(complement(composition(converse(zero),top)))))))
    | top = join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(top,converse(complement(composition(converse(zero),top)))),join(top,converse(top))) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    top = join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(top))))),
    inference(resolve,[$cnf( $equal(top,join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(complement(composition(converse(zero),top)))))))) )],[refute_0_296,refute_0_337]) ).

cnf(refute_0_339,plain,
    join(X_50,join(X_51,X_52)) = join(join(X_50,X_51),X_52),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_50)),bind(X1,$fot(X_51)),bind(X2,$fot(X_52))]]) ).

cnf(refute_0_340,plain,
    join(X_52,X_51) = join(X_51,X_52),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(X_52)),bind(X1,$fot(X_51))]]) ).

cnf(refute_0_341,plain,
    ( join(X_52,X_51) != join(X_51,X_52)
    | join(X_51,X_52) = join(X_52,X_51) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_52,X_51))),bind(Y,$fot(join(X_51,X_52)))]]) ).

cnf(refute_0_342,plain,
    join(X_51,X_52) = join(X_52,X_51),
    inference(resolve,[$cnf( $equal(join(X_52,X_51),join(X_51,X_52)) )],[refute_0_340,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( join(X_50,join(X_51,X_52)) != join(join(X_50,X_51),X_52)
    | join(X_51,X_52) != join(X_52,X_51)
    | join(X_50,join(X_52,X_51)) = join(join(X_50,X_51),X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(join(X_50,X_51),X_52)) ),[0,1],$fot(join(X_52,X_51))]]) ).

cnf(refute_0_344,plain,
    ( join(X_50,join(X_51,X_52)) != join(join(X_50,X_51),X_52)
    | join(X_50,join(X_52,X_51)) = join(join(X_50,X_51),X_52) ),
    inference(resolve,[$cnf( $equal(join(X_51,X_52),join(X_52,X_51)) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    join(X_50,join(X_52,X_51)) = join(join(X_50,X_51),X_52),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(join(X_50,X_51),X_52)) )],[refute_0_339,refute_0_344]) ).

cnf(refute_0_346,plain,
    join(join(X_50,X_51),X_52) = join(X_50,join(X_51,X_52)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_50)),bind(X1,$fot(X_51)),bind(X2,$fot(X_52))]]) ).

cnf(refute_0_347,plain,
    ( join(X_50,join(X_52,X_51)) != join(join(X_50,X_51),X_52)
    | join(join(X_50,X_51),X_52) != join(X_50,join(X_51,X_52))
    | join(X_50,join(X_52,X_51)) = join(X_50,join(X_51,X_52)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,join(X_52,X_51)),join(X_50,join(X_51,X_52))) ),[0],$fot(join(join(X_50,X_51),X_52))]]) ).

cnf(refute_0_348,plain,
    ( join(X_50,join(X_52,X_51)) != join(join(X_50,X_51),X_52)
    | join(X_50,join(X_52,X_51)) = join(X_50,join(X_51,X_52)) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,X_51),X_52),join(X_50,join(X_51,X_52))) )],[refute_0_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    join(X_50,join(X_52,X_51)) = join(X_50,join(X_51,X_52)),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_52,X_51)),join(join(X_50,X_51),X_52)) )],[refute_0_345,refute_0_348]) ).

cnf(refute_0_350,plain,
    ( join(X_50,join(X_52,X_51)) != join(X_50,join(X_51,X_52))
    | join(X_50,join(X_51,X_52)) = join(X_50,join(X_52,X_51)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_50,join(X_52,X_51)))),bind(Y,$fot(join(X_50,join(X_51,X_52))))]]) ).

cnf(refute_0_351,plain,
    join(X_50,join(X_51,X_52)) = join(X_50,join(X_52,X_51)),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_52,X_51)),join(X_50,join(X_51,X_52))) )],[refute_0_349,refute_0_350]) ).

cnf(refute_0_352,plain,
    join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(top))))) = join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(top)),bind(X_51,$fot(converse(complement(composition(converse(zero),top))))),bind(X_52,$fot(complement(join(top,converse(top)))))]]) ).

cnf(refute_0_353,plain,
    ( join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(top))))) != join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))
    | top != join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(top)))))
    | top = join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(top)))))) ),[1],$fot(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_354,plain,
    ( top != join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(top)))))
    | top = join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(top))))),join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    top = join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))),
    inference(resolve,[$cnf( $equal(top,join(top,join(converse(complement(composition(converse(zero),top))),complement(join(top,converse(top)))))) )],[refute_0_338,refute_0_354]) ).

cnf(refute_0_356,plain,
    ( top != join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))
    | join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))))]]) ).

cnf(refute_0_357,plain,
    join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) = top,
    inference(resolve,[$cnf( $equal(top,join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))) )],[refute_0_355,refute_0_356]) ).

cnf(refute_0_358,plain,
    ( converse(top) != join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))))))))
    | join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) != top
    | converse(top) = join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).

cnf(refute_0_359,plain,
    ( converse(top) != join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))))))))
    | converse(top) = join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))),top) )],[refute_0_357,refute_0_358]) ).

cnf(refute_0_360,plain,
    converse(top) = join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))))))))) )],[refute_0_241,refute_0_359]) ).

cnf(refute_0_361,plain,
    join(converse(join(top,complement(composition(converse(zero),top)))),complement(join(top,converse(top)))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(join(top,converse(top))))),bind(X1,$fot(converse(join(top,complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_362,plain,
    converse(join(join(X_50,X_51),converse(X0))) = join(converse(join(X_50,X_51)),X0),
    inference(subst,[],[refute_0_247:[bind(X_4,$fot(join(X_50,X_51)))]]) ).

cnf(refute_0_363,plain,
    join(X_50,join(X_51,converse(X0))) = join(join(X_50,X_51),converse(X0)),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_50)),bind(X1,$fot(X_51)),bind(X2,$fot(converse(X0)))]]) ).

cnf(refute_0_364,plain,
    ( join(X_50,join(X_51,converse(X0))) != join(join(X_50,X_51),converse(X0))
    | join(join(X_50,X_51),converse(X0)) = join(X_50,join(X_51,converse(X0))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_50,join(X_51,converse(X0))))),bind(Y,$fot(join(join(X_50,X_51),converse(X0))))]]) ).

cnf(refute_0_365,plain,
    join(join(X_50,X_51),converse(X0)) = join(X_50,join(X_51,converse(X0))),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,converse(X0))),join(join(X_50,X_51),converse(X0))) )],[refute_0_363,refute_0_364]) ).

cnf(refute_0_366,plain,
    ( converse(join(join(X_50,X_51),converse(X0))) != join(converse(join(X_50,X_51)),X0)
    | join(join(X_50,X_51),converse(X0)) != join(X_50,join(X_51,converse(X0)))
    | converse(join(X_50,join(X_51,converse(X0)))) = join(converse(join(X_50,X_51)),X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_50,X_51),converse(X0))),join(converse(join(X_50,X_51)),X0)) ),[0,0],$fot(join(X_50,join(X_51,converse(X0))))]]) ).

cnf(refute_0_367,plain,
    ( converse(join(join(X_50,X_51),converse(X0))) != join(converse(join(X_50,X_51)),X0)
    | converse(join(X_50,join(X_51,converse(X0)))) = join(converse(join(X_50,X_51)),X0) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,X_51),converse(X0)),join(X_50,join(X_51,converse(X0)))) )],[refute_0_365,refute_0_366]) ).

cnf(refute_0_368,plain,
    converse(join(X_50,join(X_51,converse(X0)))) = join(converse(join(X_50,X_51)),X0),
    inference(resolve,[$cnf( $equal(converse(join(join(X_50,X_51),converse(X0))),join(converse(join(X_50,X_51)),X0)) )],[refute_0_362,refute_0_367]) ).

cnf(refute_0_369,plain,
    converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))) = join(converse(join(top,complement(composition(converse(zero),top)))),complement(join(top,converse(top)))),
    inference(subst,[],[refute_0_368:[bind(X0,$fot(complement(join(top,converse(top))))),bind(X_50,$fot(top)),bind(X_51,$fot(complement(composition(converse(zero),top))))]]) ).

cnf(refute_0_370,plain,
    ( converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))) != join(converse(join(top,complement(composition(converse(zero),top)))),complement(join(top,converse(top))))
    | join(converse(join(top,complement(composition(converse(zero),top)))),complement(join(top,converse(top)))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))))),bind(Y,$fot(join(converse(join(top,complement(composition(converse(zero),top)))),complement(join(top,converse(top)))))),bind(Z,$fot(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))))]]) ).

cnf(refute_0_371,plain,
    ( join(converse(join(top,complement(composition(converse(zero),top)))),complement(join(top,converse(top)))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(resolve,[$cnf( $equal(converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))),join(converse(join(top,complement(composition(converse(zero),top)))),complement(join(top,converse(top))))) )],[refute_0_369,refute_0_370]) ).

cnf(refute_0_372,plain,
    converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),
    inference(resolve,[$cnf( $equal(join(converse(join(top,complement(composition(converse(zero),top)))),complement(join(top,converse(top)))),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) )],[refute_0_361,refute_0_371]) ).

cnf(refute_0_373,plain,
    converse(join(X0,join(X_13,X_14))) = join(converse(X0),converse(join(X_13,X_14))),
    inference(subst,[],[refute_0_111:[bind(X1,$fot(join(X_13,X_14)))]]) ).

cnf(refute_0_374,plain,
    ( converse(join(X0,join(X_13,X_14))) != join(converse(X0),converse(join(X_13,X_14)))
    | converse(join(X_13,X_14)) != converse(join(X_14,X_13))
    | converse(join(X0,join(X_13,X_14))) = join(converse(X0),converse(join(X_14,X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_13,X_14))),join(converse(X0),converse(join(X_13,X_14)))) ),[1,1],$fot(converse(join(X_14,X_13)))]]) ).

cnf(refute_0_375,plain,
    ( converse(join(X0,join(X_13,X_14))) != join(converse(X0),converse(join(X_13,X_14)))
    | converse(join(X0,join(X_13,X_14))) = join(converse(X0),converse(join(X_14,X_13))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_13,X_14)),converse(join(X_14,X_13))) )],[refute_0_134,refute_0_374]) ).

cnf(refute_0_376,plain,
    converse(join(X0,join(X_13,X_14))) = join(converse(X0),converse(join(X_14,X_13))),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_13,X_14))),join(converse(X0),converse(join(X_13,X_14)))) )],[refute_0_373,refute_0_375]) ).

cnf(refute_0_377,plain,
    join(converse(X0),converse(join(X_14,X_13))) = converse(join(X0,join(X_14,X_13))),
    inference(subst,[],[refute_0_129:[bind(X1,$fot(join(X_14,X_13)))]]) ).

cnf(refute_0_378,plain,
    ( converse(join(X0,join(X_13,X_14))) != join(converse(X0),converse(join(X_14,X_13)))
    | join(converse(X0),converse(join(X_14,X_13))) != converse(join(X0,join(X_14,X_13)))
    | converse(join(X0,join(X_13,X_14))) = converse(join(X0,join(X_14,X_13))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(X_13,X_14))),converse(join(X0,join(X_14,X_13)))) ),[0],$fot(join(converse(X0),converse(join(X_14,X_13))))]]) ).

cnf(refute_0_379,plain,
    ( converse(join(X0,join(X_13,X_14))) != join(converse(X0),converse(join(X_14,X_13)))
    | converse(join(X0,join(X_13,X_14))) = converse(join(X0,join(X_14,X_13))) ),
    inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_14,X_13))),converse(join(X0,join(X_14,X_13)))) )],[refute_0_377,refute_0_378]) ).

cnf(refute_0_380,plain,
    converse(join(X0,join(X_13,X_14))) = converse(join(X0,join(X_14,X_13))),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_13,X_14))),join(converse(X0),converse(join(X_14,X_13)))) )],[refute_0_376,refute_0_379]) ).

cnf(refute_0_381,plain,
    ( converse(join(X0,join(X_13,X_14))) != converse(join(X0,join(X_14,X_13)))
    | converse(join(X0,join(X_14,X_13))) = converse(join(X0,join(X_13,X_14))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X0,join(X_13,X_14))))),bind(Y,$fot(converse(join(X0,join(X_14,X_13)))))]]) ).

cnf(refute_0_382,plain,
    converse(join(X0,join(X_14,X_13))) = converse(join(X0,join(X_13,X_14))),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_13,X_14))),converse(join(X0,join(X_14,X_13)))) )],[refute_0_380,refute_0_381]) ).

cnf(refute_0_383,plain,
    converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))) = converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))),
    inference(subst,[],[refute_0_382:[bind(X0,$fot(top)),bind(X_13,$fot(complement(composition(converse(zero),top)))),bind(X_14,$fot(converse(complement(join(top,converse(top))))))]]) ).

cnf(refute_0_384,plain,
    ( converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))) != converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top)))))))
    | converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))))),bind(Y,$fot(converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))))),bind(Z,$fot(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))))]]) ).

cnf(refute_0_385,plain,
    ( converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(resolve,[$cnf( $equal(converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))),converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top)))))))) )],[refute_0_383,refute_0_384]) ).

cnf(refute_0_386,plain,
    converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),
    inference(resolve,[$cnf( $equal(converse(join(top,join(complement(composition(converse(zero),top)),converse(complement(join(top,converse(top))))))),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) )],[refute_0_372,refute_0_385]) ).

cnf(refute_0_387,plain,
    converse(join(X_4,converse(join(X_7,converse(X_6))))) = join(converse(X_4),join(X_7,converse(X_6))),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(join(X_7,converse(X_6))))]]) ).

cnf(refute_0_388,plain,
    converse(join(X_7,converse(X_6))) = join(converse(X_7),X_6),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).

cnf(refute_0_389,plain,
    ( converse(join(X_4,converse(join(X_7,converse(X_6))))) != join(converse(X_4),join(X_7,converse(X_6)))
    | converse(join(X_7,converse(X_6))) != join(converse(X_7),X_6)
    | converse(join(X_4,join(converse(X_7),X_6))) = join(converse(X_4),join(X_7,converse(X_6))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(join(X_7,converse(X_6))))),join(converse(X_4),join(X_7,converse(X_6)))) ),[0,0,1],$fot(join(converse(X_7),X_6))]]) ).

cnf(refute_0_390,plain,
    ( converse(join(X_4,converse(join(X_7,converse(X_6))))) != join(converse(X_4),join(X_7,converse(X_6)))
    | converse(join(X_4,join(converse(X_7),X_6))) = join(converse(X_4),join(X_7,converse(X_6))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_7,converse(X_6))),join(converse(X_7),X_6)) )],[refute_0_388,refute_0_389]) ).

cnf(refute_0_391,plain,
    converse(join(X_4,join(converse(X_7),X_6))) = join(converse(X_4),join(X_7,converse(X_6))),
    inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_7,converse(X_6))))),join(converse(X_4),join(X_7,converse(X_6)))) )],[refute_0_387,refute_0_390]) ).

cnf(refute_0_392,plain,
    ( converse(join(X_4,join(converse(X_7),X_6))) != join(converse(X_4),join(X_7,converse(X_6)))
    | join(converse(X_4),join(X_7,converse(X_6))) = converse(join(X_4,join(converse(X_7),X_6))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X_4,join(converse(X_7),X_6))))),bind(Y,$fot(join(converse(X_4),join(X_7,converse(X_6)))))]]) ).

cnf(refute_0_393,plain,
    join(converse(X_4),join(X_7,converse(X_6))) = converse(join(X_4,join(converse(X_7),X_6))),
    inference(resolve,[$cnf( $equal(converse(join(X_4,join(converse(X_7),X_6))),join(converse(X_4),join(X_7,converse(X_6)))) )],[refute_0_391,refute_0_392]) ).

cnf(refute_0_394,plain,
    join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) = converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))),
    inference(subst,[],[refute_0_393:[bind(X_4,$fot(top)),bind(X_6,$fot(complement(composition(converse(zero),top)))),bind(X_7,$fot(complement(join(top,converse(top)))))]]) ).

cnf(refute_0_395,plain,
    ( converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) != converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top)))))
    | join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))))),bind(Y,$fot(converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))))),bind(Z,$fot(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))))]]) ).

cnf(refute_0_396,plain,
    ( converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(resolve,[$cnf( $equal(join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))),converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top)))))) )],[refute_0_394,refute_0_395]) ).

cnf(refute_0_397,plain,
    join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),
    inference(resolve,[$cnf( $equal(converse(join(top,join(converse(complement(join(top,converse(top)))),complement(composition(converse(zero),top))))),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) )],[refute_0_386,refute_0_396]) ).

cnf(refute_0_398,plain,
    join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))) = join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))),
    inference(subst,[],[refute_0_228:[bind(X_50,$fot(top)),bind(X_52,$fot(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_399,plain,
    ( join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))) != join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))
    | join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))))),bind(Y,$fot(join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))))),bind(Z,$fot(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))))]]) ).

cnf(refute_0_400,plain,
    ( join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))),join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))) )],[refute_0_398,refute_0_399]) ).

cnf(refute_0_401,plain,
    join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),
    inference(resolve,[$cnf( $equal(join(converse(top),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) )],[refute_0_397,refute_0_400]) ).

cnf(refute_0_402,plain,
    join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))) = join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(top)),bind(X_51,$fot(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))),bind(X_52,$fot(converse(complement(converse(top)))))]]) ).

cnf(refute_0_403,plain,
    ( join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))) != join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))))
    | join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))))),bind(Y,$fot(join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))))),bind(Z,$fot(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))))]]) ).

cnf(refute_0_404,plain,
    ( join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))),join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top))))))) )],[refute_0_402,refute_0_403]) ).

cnf(refute_0_405,plain,
    join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) )],[refute_0_401,refute_0_404]) ).

cnf(refute_0_406,plain,
    join(X_51,X_50) = join(X_50,X_51),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(X_51)),bind(X1,$fot(X_50))]]) ).

cnf(refute_0_407,plain,
    ( join(X_51,X_50) != join(X_50,X_51)
    | join(X_50,X_51) = join(X_51,X_50) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_51,X_50))),bind(Y,$fot(join(X_50,X_51)))]]) ).

cnf(refute_0_408,plain,
    join(X_50,X_51) = join(X_51,X_50),
    inference(resolve,[$cnf( $equal(join(X_51,X_50),join(X_50,X_51)) )],[refute_0_406,refute_0_407]) ).

cnf(refute_0_409,plain,
    ( join(X_50,X_51) != join(X_51,X_50)
    | join(X_50,join(X_51,X_52)) != join(join(X_50,X_51),X_52)
    | join(X_50,join(X_51,X_52)) = join(join(X_51,X_50),X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(join(X_50,X_51),X_52)) ),[1,0],$fot(join(X_51,X_50))]]) ).

cnf(refute_0_410,plain,
    ( join(X_50,join(X_51,X_52)) != join(join(X_50,X_51),X_52)
    | join(X_50,join(X_51,X_52)) = join(join(X_51,X_50),X_52) ),
    inference(resolve,[$cnf( $equal(join(X_50,X_51),join(X_51,X_50)) )],[refute_0_408,refute_0_409]) ).

cnf(refute_0_411,plain,
    join(X_50,join(X_51,X_52)) = join(join(X_51,X_50),X_52),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(join(X_50,X_51),X_52)) )],[refute_0_339,refute_0_410]) ).

cnf(refute_0_412,plain,
    join(join(X_51,X_50),X_52) = join(X_51,join(X_50,X_52)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_51)),bind(X1,$fot(X_50)),bind(X2,$fot(X_52))]]) ).

cnf(refute_0_413,plain,
    ( join(X_50,join(X_51,X_52)) != join(join(X_51,X_50),X_52)
    | join(join(X_51,X_50),X_52) != join(X_51,join(X_50,X_52))
    | join(X_50,join(X_51,X_52)) = join(X_51,join(X_50,X_52)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,join(X_51,X_52)),join(X_51,join(X_50,X_52))) ),[0],$fot(join(join(X_51,X_50),X_52))]]) ).

cnf(refute_0_414,plain,
    ( join(X_50,join(X_51,X_52)) != join(join(X_51,X_50),X_52)
    | join(X_50,join(X_51,X_52)) = join(X_51,join(X_50,X_52)) ),
    inference(resolve,[$cnf( $equal(join(join(X_51,X_50),X_52),join(X_51,join(X_50,X_52))) )],[refute_0_412,refute_0_413]) ).

cnf(refute_0_415,plain,
    join(X_50,join(X_51,X_52)) = join(X_51,join(X_50,X_52)),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(join(X_51,X_50),X_52)) )],[refute_0_411,refute_0_414]) ).

cnf(refute_0_416,plain,
    ( join(X_50,join(X_51,X_52)) != join(X_51,join(X_50,X_52))
    | join(X_51,join(X_50,X_52)) = join(X_50,join(X_51,X_52)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_50,join(X_51,X_52)))),bind(Y,$fot(join(X_51,join(X_50,X_52))))]]) ).

cnf(refute_0_417,plain,
    join(X_51,join(X_50,X_52)) = join(X_50,join(X_51,X_52)),
    inference(resolve,[$cnf( $equal(join(X_50,join(X_51,X_52)),join(X_51,join(X_50,X_52))) )],[refute_0_415,refute_0_416]) ).

cnf(refute_0_418,plain,
    join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))) = join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(top)),bind(X_51,$fot(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))))),bind(X_52,$fot(converse(complement(converse(top)))))]]) ).

cnf(refute_0_419,plain,
    ( join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))) != join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top)))))
    | join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))))),bind(Y,$fot(join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))))),bind(Z,$fot(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))))]]) ).

cnf(refute_0_420,plain,
    ( join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(resolve,[$cnf( $equal(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))),join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top)))))) )],[refute_0_418,refute_0_419]) ).

cnf(refute_0_421,plain,
    join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),
    inference(resolve,[$cnf( $equal(join(top,join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),converse(complement(converse(top))))),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) )],[refute_0_405,refute_0_420]) ).

cnf(refute_0_422,plain,
    ( converse(top) != join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top)))))
    | join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | converse(top) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) ),[0],$fot(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))))]]) ).

cnf(refute_0_423,plain,
    ( converse(top) != join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top)))))
    | converse(top) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) ),
    inference(resolve,[$cnf( $equal(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top))))),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) )],[refute_0_421,refute_0_422]) ).

cnf(refute_0_424,plain,
    converse(top) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(complement(join(top,converse(top))),converse(complement(composition(converse(zero),top)))),join(top,converse(complement(converse(top)))))) )],[refute_0_360,refute_0_423]) ).

cnf(refute_0_425,plain,
    join(complement(join(top,converse(top))),converse(join(top,top))) = join(converse(join(top,top)),complement(join(top,converse(top)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(converse(join(top,top)))),bind(X1,$fot(complement(join(top,converse(top)))))]]) ).

cnf(refute_0_426,plain,
    join(converse(top),join(composition(converse(top),zero),X_52)) = join(join(converse(top),composition(converse(top),zero)),X_52),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(converse(top))),bind(X1,$fot(composition(converse(top),zero))),bind(X2,$fot(X_52))]]) ).

cnf(refute_0_427,plain,
    join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) = join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(composition(converse(top),zero),converse(complement(converse(complement(one))))))),bind(X1,$fot(complement(one)))]]) ).

cnf(refute_0_428,plain,
    ( join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) != converse(top)
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) != join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)),join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) ),[1],$fot(converse(top))]]) ).

cnf(refute_0_429,plain,
    ( join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) != join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))),converse(top)) )],[refute_0_181,refute_0_428]) ).

cnf(refute_0_430,plain,
    join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) = converse(top),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)),join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))) )],[refute_0_427,refute_0_429]) ).

cnf(refute_0_431,plain,
    join(composition(converse(top),zero),converse(top)) = join(converse(top),composition(converse(top),zero)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(converse(top))),bind(X1,$fot(composition(converse(top),zero)))]]) ).

cnf(refute_0_432,plain,
    ( converse(top) != join(X_8,converse(complement(converse(X_8))))
    | join(X_8,converse(complement(converse(X_8)))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_8,converse(complement(converse(X_8))))))]]) ).

cnf(refute_0_433,plain,
    join(X_8,converse(complement(converse(X_8)))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(X_8,converse(complement(converse(X_8))))) )],[refute_0_122,refute_0_432]) ).

cnf(refute_0_434,plain,
    join(complement(one),converse(complement(converse(complement(one))))) = converse(top),
    inference(subst,[],[refute_0_433:[bind(X_8,$fot(complement(one)))]]) ).

cnf(refute_0_435,plain,
    join(converse(complement(converse(complement(one)))),complement(one)) = join(complement(one),converse(complement(converse(complement(one))))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(complement(converse(complement(one))))))]]) ).

cnf(refute_0_436,plain,
    ( join(complement(one),converse(complement(converse(complement(one))))) != converse(top)
    | join(converse(complement(converse(complement(one)))),complement(one)) != join(complement(one),converse(complement(converse(complement(one)))))
    | join(converse(complement(converse(complement(one)))),complement(one)) = converse(top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(complement(converse(complement(one)))),complement(one)))),bind(Y,$fot(join(complement(one),converse(complement(converse(complement(one))))))),bind(Z,$fot(converse(top)))]]) ).

cnf(refute_0_437,plain,
    ( join(complement(one),converse(complement(converse(complement(one))))) != converse(top)
    | join(converse(complement(converse(complement(one)))),complement(one)) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(one)))),complement(one)),join(complement(one),converse(complement(converse(complement(one)))))) )],[refute_0_435,refute_0_436]) ).

cnf(refute_0_438,plain,
    join(converse(complement(converse(complement(one)))),complement(one)) = converse(top),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(converse(complement(one))))),converse(top)) )],[refute_0_434,refute_0_437]) ).

cnf(refute_0_439,plain,
    join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) = join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))),
    introduced(tautology,[refl,[$fot(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))))]]) ).

cnf(refute_0_440,plain,
    ( join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) != join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one)))
    | join(converse(complement(converse(complement(one)))),complement(one)) != converse(top)
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) = join(composition(converse(top),zero),converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one)))) ),[1,1],$fot(converse(top))]]) ).

cnf(refute_0_441,plain,
    ( join(converse(complement(converse(complement(one)))),complement(one)) != converse(top)
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) = join(composition(converse(top),zero),converse(top)) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one)))) )],[refute_0_439,refute_0_440]) ).

cnf(refute_0_442,plain,
    join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) = join(composition(converse(top),zero),converse(top)),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(one)))),complement(one)),converse(top)) )],[refute_0_438,refute_0_441]) ).

cnf(refute_0_443,plain,
    ( join(composition(converse(top),zero),converse(top)) != join(converse(top),composition(converse(top),zero))
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) != join(composition(converse(top),zero),converse(top))
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) = join(converse(top),composition(converse(top),zero)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))))),bind(Y,$fot(join(composition(converse(top),zero),converse(top)))),bind(Z,$fot(join(converse(top),composition(converse(top),zero))))]]) ).

cnf(refute_0_444,plain,
    ( join(composition(converse(top),zero),converse(top)) != join(converse(top),composition(converse(top),zero))
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) = join(converse(top),composition(converse(top),zero)) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))),join(composition(converse(top),zero),converse(top))) )],[refute_0_442,refute_0_443]) ).

cnf(refute_0_445,plain,
    join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) = join(converse(top),composition(converse(top),zero)),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),converse(top)),join(converse(top),composition(converse(top),zero))) )],[refute_0_431,refute_0_444]) ).

cnf(refute_0_446,plain,
    join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) = join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(composition(converse(top),zero))),bind(X1,$fot(converse(complement(converse(complement(one)))))),bind(X2,$fot(complement(one)))]]) ).

cnf(refute_0_447,plain,
    ( join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) != join(converse(top),composition(converse(top),zero))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) != join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one)))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) = join(converse(top),composition(converse(top),zero)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)))),bind(Y,$fot(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))))),bind(Z,$fot(join(converse(top),composition(converse(top),zero))))]]) ).

cnf(refute_0_448,plain,
    ( join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))) != join(converse(top),composition(converse(top),zero))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) = join(converse(top),composition(converse(top),zero)) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one)))) )],[refute_0_446,refute_0_447]) ).

cnf(refute_0_449,plain,
    join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) = join(converse(top),composition(converse(top),zero)),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),complement(one))),join(converse(top),composition(converse(top),zero))) )],[refute_0_445,refute_0_448]) ).

cnf(refute_0_450,plain,
    ( join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) != converse(top)
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) != join(converse(top),composition(converse(top),zero))
    | join(converse(top),composition(converse(top),zero)) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)),converse(top)) ),[0],$fot(join(converse(top),composition(converse(top),zero)))]]) ).

cnf(refute_0_451,plain,
    ( join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)) != converse(top)
    | join(converse(top),composition(converse(top),zero)) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)),join(converse(top),composition(converse(top),zero))) )],[refute_0_449,refute_0_450]) ).

cnf(refute_0_452,plain,
    join(converse(top),composition(converse(top),zero)) = converse(top),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),complement(one)),converse(top)) )],[refute_0_430,refute_0_451]) ).

cnf(refute_0_453,plain,
    ( join(converse(top),composition(converse(top),zero)) != converse(top)
    | join(converse(top),join(composition(converse(top),zero),X_52)) != join(join(converse(top),composition(converse(top),zero)),X_52)
    | join(converse(top),join(composition(converse(top),zero),X_52)) = join(converse(top),X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),join(composition(converse(top),zero),X_52)),join(join(converse(top),composition(converse(top),zero)),X_52)) ),[1,0],$fot(converse(top))]]) ).

cnf(refute_0_454,plain,
    ( join(converse(top),join(composition(converse(top),zero),X_52)) != join(join(converse(top),composition(converse(top),zero)),X_52)
    | join(converse(top),join(composition(converse(top),zero),X_52)) = join(converse(top),X_52) ),
    inference(resolve,[$cnf( $equal(join(converse(top),composition(converse(top),zero)),converse(top)) )],[refute_0_452,refute_0_453]) ).

cnf(refute_0_455,plain,
    join(converse(top),join(composition(converse(top),zero),X_52)) = join(converse(top),X_52),
    inference(resolve,[$cnf( $equal(join(converse(top),join(composition(converse(top),zero),X_52)),join(join(converse(top),composition(converse(top),zero)),X_52)) )],[refute_0_426,refute_0_454]) ).

cnf(refute_0_456,plain,
    join(converse(top),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) = join(converse(top),converse(complement(converse(composition(converse(top),zero))))),
    inference(subst,[],[refute_0_455:[bind(X_52,$fot(converse(complement(converse(composition(converse(top),zero))))))]]) ).

cnf(refute_0_457,plain,
    ( join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))) != converse(top)
    | join(converse(top),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) != join(converse(top),converse(complement(converse(composition(converse(top),zero)))))
    | join(converse(top),converse(top)) = join(converse(top),converse(complement(converse(composition(converse(top),zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))),join(converse(top),converse(complement(converse(composition(converse(top),zero)))))) ),[0,1],$fot(converse(top))]]) ).

cnf(refute_0_458,plain,
    ( join(converse(top),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))) != join(converse(top),converse(complement(converse(composition(converse(top),zero)))))
    | join(converse(top),converse(top)) = join(converse(top),converse(complement(converse(composition(converse(top),zero))))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero))))),converse(top)) )],[refute_0_301,refute_0_457]) ).

cnf(refute_0_459,plain,
    join(converse(top),converse(top)) = join(converse(top),converse(complement(converse(composition(converse(top),zero))))),
    inference(resolve,[$cnf( $equal(join(converse(top),join(composition(converse(top),zero),converse(complement(converse(composition(converse(top),zero)))))),join(converse(top),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_456,refute_0_458]) ).

cnf(refute_0_460,plain,
    join(converse(top),converse(top)) = converse(join(top,top)),
    inference(subst,[],[refute_0_129:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).

cnf(refute_0_461,plain,
    ( join(converse(top),converse(top)) != converse(join(top,top))
    | join(converse(top),converse(top)) != join(converse(top),converse(complement(converse(composition(converse(top),zero)))))
    | converse(join(top,top)) = join(converse(top),converse(complement(converse(composition(converse(top),zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),converse(top)),join(converse(top),converse(complement(converse(composition(converse(top),zero)))))) ),[0],$fot(converse(join(top,top)))]]) ).

cnf(refute_0_462,plain,
    ( join(converse(top),converse(top)) != join(converse(top),converse(complement(converse(composition(converse(top),zero)))))
    | converse(join(top,top)) = join(converse(top),converse(complement(converse(composition(converse(top),zero))))) ),
    inference(resolve,[$cnf( $equal(join(converse(top),converse(top)),converse(join(top,top))) )],[refute_0_460,refute_0_461]) ).

cnf(refute_0_463,plain,
    join(top,complement(converse(composition(converse(top),zero)))) = join(top,complement(converse(composition(converse(top),zero)))),
    introduced(tautology,[refl,[$fot(join(top,complement(converse(composition(converse(top),zero)))))]]) ).

cnf(refute_0_464,plain,
    ( complement(converse(composition(converse(top),zero))) != complement(composition(converse(zero),top))
    | join(top,complement(converse(composition(converse(top),zero)))) != join(top,complement(converse(composition(converse(top),zero))))
    | join(top,complement(converse(composition(converse(top),zero)))) = join(top,complement(composition(converse(zero),top))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(converse(composition(converse(top),zero)))),join(top,complement(converse(composition(converse(top),zero))))) ),[1,1],$fot(complement(composition(converse(zero),top)))]]) ).

cnf(refute_0_465,plain,
    ( complement(converse(composition(converse(top),zero))) != complement(composition(converse(zero),top))
    | join(top,complement(converse(composition(converse(top),zero)))) = join(top,complement(composition(converse(zero),top))) ),
    inference(resolve,[$cnf( $equal(join(top,complement(converse(composition(converse(top),zero)))),join(top,complement(converse(composition(converse(top),zero))))) )],[refute_0_463,refute_0_464]) ).

cnf(refute_0_466,plain,
    join(top,complement(converse(composition(converse(top),zero)))) = join(top,complement(composition(converse(zero),top))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(converse(top),zero))),complement(composition(converse(zero),top))) )],[refute_0_313,refute_0_465]) ).

cnf(refute_0_467,plain,
    converse(join(top,complement(converse(composition(converse(top),zero))))) = converse(join(top,complement(converse(composition(converse(top),zero))))),
    introduced(tautology,[refl,[$fot(converse(join(top,complement(converse(composition(converse(top),zero))))))]]) ).

cnf(refute_0_468,plain,
    ( converse(join(top,complement(converse(composition(converse(top),zero))))) != converse(join(top,complement(converse(composition(converse(top),zero)))))
    | join(top,complement(converse(composition(converse(top),zero)))) != join(top,complement(composition(converse(zero),top)))
    | converse(join(top,complement(converse(composition(converse(top),zero))))) = converse(join(top,complement(composition(converse(zero),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(top,complement(converse(composition(converse(top),zero))))),converse(join(top,complement(converse(composition(converse(top),zero)))))) ),[1,0],$fot(join(top,complement(composition(converse(zero),top))))]]) ).

cnf(refute_0_469,plain,
    ( join(top,complement(converse(composition(converse(top),zero)))) != join(top,complement(composition(converse(zero),top)))
    | converse(join(top,complement(converse(composition(converse(top),zero))))) = converse(join(top,complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(composition(converse(top),zero))))),converse(join(top,complement(converse(composition(converse(top),zero)))))) )],[refute_0_467,refute_0_468]) ).

cnf(refute_0_470,plain,
    converse(join(top,complement(converse(composition(converse(top),zero))))) = converse(join(top,complement(composition(converse(zero),top)))),
    inference(resolve,[$cnf( $equal(join(top,complement(converse(composition(converse(top),zero)))),join(top,complement(composition(converse(zero),top)))) )],[refute_0_466,refute_0_469]) ).

cnf(refute_0_471,plain,
    join(converse(top),converse(complement(converse(composition(converse(top),zero))))) = converse(join(top,complement(converse(composition(converse(top),zero))))),
    inference(subst,[],[refute_0_129:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(converse(top),zero)))))]]) ).

cnf(refute_0_472,plain,
    ( converse(join(top,complement(converse(composition(converse(top),zero))))) != converse(join(top,complement(composition(converse(zero),top))))
    | join(converse(top),converse(complement(converse(composition(converse(top),zero))))) != converse(join(top,complement(converse(composition(converse(top),zero)))))
    | join(converse(top),converse(complement(converse(composition(converse(top),zero))))) = converse(join(top,complement(composition(converse(zero),top)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(top),converse(complement(converse(composition(converse(top),zero))))))),bind(Y,$fot(converse(join(top,complement(converse(composition(converse(top),zero))))))),bind(Z,$fot(converse(join(top,complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_473,plain,
    ( converse(join(top,complement(converse(composition(converse(top),zero))))) != converse(join(top,complement(composition(converse(zero),top))))
    | join(converse(top),converse(complement(converse(composition(converse(top),zero))))) = converse(join(top,complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(join(converse(top),converse(complement(converse(composition(converse(top),zero))))),converse(join(top,complement(converse(composition(converse(top),zero)))))) )],[refute_0_471,refute_0_472]) ).

cnf(refute_0_474,plain,
    join(converse(top),converse(complement(converse(composition(converse(top),zero))))) = converse(join(top,complement(composition(converse(zero),top)))),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(composition(converse(top),zero))))),converse(join(top,complement(composition(converse(zero),top))))) )],[refute_0_470,refute_0_473]) ).

cnf(refute_0_475,plain,
    ( converse(join(top,top)) != join(converse(top),converse(complement(converse(composition(converse(top),zero)))))
    | join(converse(top),converse(complement(converse(composition(converse(top),zero))))) != converse(join(top,complement(composition(converse(zero),top))))
    | converse(join(top,top)) = converse(join(top,complement(composition(converse(zero),top)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(top,top)),converse(join(top,complement(composition(converse(zero),top))))) ),[0],$fot(join(converse(top),converse(complement(converse(composition(converse(top),zero))))))]]) ).

cnf(refute_0_476,plain,
    ( converse(join(top,top)) != join(converse(top),converse(complement(converse(composition(converse(top),zero)))))
    | converse(join(top,top)) = converse(join(top,complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(join(converse(top),converse(complement(converse(composition(converse(top),zero))))),converse(join(top,complement(composition(converse(zero),top))))) )],[refute_0_474,refute_0_475]) ).

cnf(refute_0_477,plain,
    ( join(converse(top),converse(top)) != join(converse(top),converse(complement(converse(composition(converse(top),zero)))))
    | converse(join(top,top)) = converse(join(top,complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(converse(join(top,top)),join(converse(top),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_462,refute_0_476]) ).

cnf(refute_0_478,plain,
    converse(join(top,top)) = converse(join(top,complement(composition(converse(zero),top)))),
    inference(resolve,[$cnf( $equal(join(converse(top),converse(top)),join(converse(top),converse(complement(converse(composition(converse(top),zero)))))) )],[refute_0_459,refute_0_477]) ).

cnf(refute_0_479,plain,
    ( converse(join(top,top)) != converse(join(top,complement(composition(converse(zero),top))))
    | converse(join(top,complement(composition(converse(zero),top)))) = converse(join(top,top)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(top,top)))),bind(Y,$fot(converse(join(top,complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_480,plain,
    converse(join(top,complement(composition(converse(zero),top)))) = converse(join(top,top)),
    inference(resolve,[$cnf( $equal(converse(join(top,top)),converse(join(top,complement(composition(converse(zero),top))))) )],[refute_0_478,refute_0_479]) ).

cnf(refute_0_481,plain,
    join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) = join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),
    introduced(tautology,[refl,[$fot(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_482,plain,
    ( converse(join(top,complement(composition(converse(zero),top)))) != converse(join(top,top))
    | join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) = join(complement(join(top,converse(top))),converse(join(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) ),[1,1],$fot(converse(join(top,top)))]]) ).

cnf(refute_0_483,plain,
    ( converse(join(top,complement(composition(converse(zero),top)))) != converse(join(top,top))
    | join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) = join(complement(join(top,converse(top))),converse(join(top,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) )],[refute_0_481,refute_0_482]) ).

cnf(refute_0_484,plain,
    join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) = join(complement(join(top,converse(top))),converse(join(top,top))),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(composition(converse(zero),top)))),converse(join(top,top))) )],[refute_0_480,refute_0_483]) ).

cnf(refute_0_485,plain,
    ( join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) != join(complement(join(top,converse(top))),converse(join(top,top)))
    | join(complement(join(top,converse(top))),converse(join(top,top))) != join(converse(join(top,top)),complement(join(top,converse(top))))
    | join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) = join(converse(join(top,top)),complement(join(top,converse(top)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))))),bind(Y,$fot(join(complement(join(top,converse(top))),converse(join(top,top))))),bind(Z,$fot(join(converse(join(top,top)),complement(join(top,converse(top))))))]]) ).

cnf(refute_0_486,plain,
    ( join(complement(join(top,converse(top))),converse(join(top,top))) != join(converse(join(top,top)),complement(join(top,converse(top))))
    | join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) = join(converse(join(top,top)),complement(join(top,converse(top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),join(complement(join(top,converse(top))),converse(join(top,top)))) )],[refute_0_484,refute_0_485]) ).

cnf(refute_0_487,plain,
    join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) = join(converse(join(top,top)),complement(join(top,converse(top)))),
    inference(resolve,[$cnf( $equal(join(complement(join(top,converse(top))),converse(join(top,top))),join(converse(join(top,top)),complement(join(top,converse(top))))) )],[refute_0_425,refute_0_486]) ).

cnf(refute_0_488,plain,
    ( converse(top) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))) != join(converse(join(top,top)),complement(join(top,converse(top))))
    | converse(top) = join(converse(join(top,top)),complement(join(top,converse(top)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(converse(join(top,top)),complement(join(top,converse(top))))) ),[0],$fot(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_489,plain,
    ( converse(top) != join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))
    | converse(top) = join(converse(join(top,top)),complement(join(top,converse(top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top))))),join(converse(join(top,top)),complement(join(top,converse(top))))) )],[refute_0_487,refute_0_488]) ).

cnf(refute_0_490,plain,
    converse(top) = join(converse(join(top,top)),complement(join(top,converse(top)))),
    inference(resolve,[$cnf( $equal(converse(top),join(complement(join(top,converse(top))),converse(join(top,complement(composition(converse(zero),top)))))) )],[refute_0_424,refute_0_489]) ).

cnf(refute_0_491,plain,
    join(one,join(converse(X_74),X2)) = join(join(one,converse(X_74)),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_74)))]]) ).

cnf(refute_0_492,plain,
    converse(join(converse(one),X_5)) = join(one,converse(X_5)),
    inference(subst,[],[refute_0_115:[bind(X0,$fot(one))]]) ).

cnf(refute_0_493,plain,
    composition(converse(one),one) = converse(one),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(converse(one)))]]) ).

cnf(refute_0_494,plain,
    converse(composition(converse(X_69),one)) = composition(converse(one),X_69),
    inference(subst,[],[refute_0_308:[bind(X0,$fot(X_69)),bind(X_16,$fot(one))]]) ).

cnf(refute_0_495,plain,
    composition(converse(X_69),one) = converse(X_69),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(converse(X_69)))]]) ).

cnf(refute_0_496,plain,
    ( composition(converse(X_69),one) != converse(X_69)
    | converse(composition(converse(X_69),one)) != composition(converse(one),X_69)
    | converse(converse(X_69)) = composition(converse(one),X_69) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_69),one)),composition(converse(one),X_69)) ),[0,0],$fot(converse(X_69))]]) ).

cnf(refute_0_497,plain,
    ( converse(composition(converse(X_69),one)) != composition(converse(one),X_69)
    | converse(converse(X_69)) = composition(converse(one),X_69) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_69),one),converse(X_69)) )],[refute_0_495,refute_0_496]) ).

cnf(refute_0_498,plain,
    converse(converse(X_69)) = composition(converse(one),X_69),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_69),one)),composition(converse(one),X_69)) )],[refute_0_494,refute_0_497]) ).

cnf(refute_0_499,plain,
    converse(converse(X_69)) = X_69,
    inference(subst,[],[refute_0_0:[bind(X0,$fot(X_69))]]) ).

cnf(refute_0_500,plain,
    ( converse(converse(X_69)) != X_69
    | converse(converse(X_69)) != composition(converse(one),X_69)
    | X_69 = composition(converse(one),X_69) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_69)),composition(converse(one),X_69)) ),[0],$fot(X_69)]]) ).

cnf(refute_0_501,plain,
    ( converse(converse(X_69)) != composition(converse(one),X_69)
    | X_69 = composition(converse(one),X_69) ),
    inference(resolve,[$cnf( $equal(converse(converse(X_69)),X_69) )],[refute_0_499,refute_0_500]) ).

cnf(refute_0_502,plain,
    X_69 = composition(converse(one),X_69),
    inference(resolve,[$cnf( $equal(converse(converse(X_69)),composition(converse(one),X_69)) )],[refute_0_498,refute_0_501]) ).

cnf(refute_0_503,plain,
    one = composition(converse(one),one),
    inference(subst,[],[refute_0_502:[bind(X_69,$fot(one))]]) ).

cnf(refute_0_504,plain,
    ( one != composition(converse(one),one)
    | composition(converse(one),one) = one ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).

cnf(refute_0_505,plain,
    composition(converse(one),one) = one,
    inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_503,refute_0_504]) ).

cnf(refute_0_506,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_507,plain,
    ( composition(converse(one),one) != converse(one)
    | one = converse(one) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_505,refute_0_506]) ).

cnf(refute_0_508,plain,
    one = converse(one),
    inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_493,refute_0_507]) ).

cnf(refute_0_509,plain,
    ( one != converse(one)
    | converse(one) = one ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).

cnf(refute_0_510,plain,
    converse(one) = one,
    inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_508,refute_0_509]) ).

cnf(refute_0_511,plain,
    ( converse(join(converse(one),X_5)) != join(one,converse(X_5))
    | converse(one) != one
    | converse(join(one,X_5)) = join(one,converse(X_5)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) ),[0,0,0],$fot(one)]]) ).

cnf(refute_0_512,plain,
    ( converse(join(converse(one),X_5)) != join(one,converse(X_5))
    | converse(join(one,X_5)) = join(one,converse(X_5)) ),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_510,refute_0_511]) ).

cnf(refute_0_513,plain,
    converse(join(one,X_5)) = join(one,converse(X_5)),
    inference(resolve,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) )],[refute_0_492,refute_0_512]) ).

cnf(refute_0_514,plain,
    converse(join(one,X_74)) = join(one,converse(X_74)),
    inference(subst,[],[refute_0_513:[bind(X_5,$fot(X_74))]]) ).

cnf(refute_0_515,plain,
    ( converse(join(one,X_74)) != join(one,converse(X_74))
    | join(one,converse(X_74)) = converse(join(one,X_74)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(one,X_74)))),bind(Y,$fot(join(one,converse(X_74))))]]) ).

cnf(refute_0_516,plain,
    join(one,converse(X_74)) = converse(join(one,X_74)),
    inference(resolve,[$cnf( $equal(converse(join(one,X_74)),join(one,converse(X_74))) )],[refute_0_514,refute_0_515]) ).

cnf(refute_0_517,plain,
    ( join(one,converse(X_74)) != converse(join(one,X_74))
    | join(one,join(converse(X_74),X2)) != join(join(one,converse(X_74)),X2)
    | join(one,join(converse(X_74),X2)) = join(converse(join(one,X_74)),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_74),X2)),join(join(one,converse(X_74)),X2)) ),[1,0],$fot(converse(join(one,X_74)))]]) ).

cnf(refute_0_518,plain,
    ( join(one,join(converse(X_74),X2)) != join(join(one,converse(X_74)),X2)
    | join(one,join(converse(X_74),X2)) = join(converse(join(one,X_74)),X2) ),
    inference(resolve,[$cnf( $equal(join(one,converse(X_74)),converse(join(one,X_74))) )],[refute_0_516,refute_0_517]) ).

cnf(refute_0_519,plain,
    join(one,join(converse(X_74),X2)) = join(converse(join(one,X_74)),X2),
    inference(resolve,[$cnf( $equal(join(one,join(converse(X_74),X2)),join(join(one,converse(X_74)),X2)) )],[refute_0_491,refute_0_518]) ).

cnf(refute_0_520,plain,
    ( join(one,join(converse(X_74),X2)) != join(converse(join(one,X_74)),X2)
    | join(converse(join(one,X_74)),X2) = join(one,join(converse(X_74),X2)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,join(converse(X_74),X2)))),bind(Y,$fot(join(converse(join(one,X_74)),X2)))]]) ).

cnf(refute_0_521,plain,
    join(converse(join(one,X_74)),X2) = join(one,join(converse(X_74),X2)),
    inference(resolve,[$cnf( $equal(join(one,join(converse(X_74),X2)),join(converse(join(one,X_74)),X2)) )],[refute_0_519,refute_0_520]) ).

cnf(refute_0_522,plain,
    join(converse(join(one,top)),complement(join(top,converse(top)))) = join(one,join(converse(top),complement(join(top,converse(top))))),
    inference(subst,[],[refute_0_521:[bind(X2,$fot(complement(join(top,converse(top))))),bind(X_74,$fot(top))]]) ).

cnf(refute_0_523,plain,
    join(X_50,join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))) = join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_50)),bind(X1,$fot(converse(top))),bind(X2,$fot(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))]]) ).

cnf(refute_0_524,plain,
    converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) = converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))),bind(X1,$fot(top))]]) ).

cnf(refute_0_525,plain,
    converse(top) = join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))))))),
    inference(subst,[],[refute_0_143:[bind(X_13,$fot(converse(join(complement(converse(top)),composition(converse(top),zero))))),bind(X_14,$fot(top))]]) ).

cnf(refute_0_526,plain,
    converse(top) = join(top,converse(join(composition(converse(top),zero),complement(join(converse(top),composition(converse(top),zero)))))),
    inference(subst,[],[refute_0_262:[bind(X0,$fot(composition(converse(top),zero))),bind(X_4,$fot(top))]]) ).

cnf(refute_0_527,plain,
    ( converse(top) != join(top,converse(join(composition(converse(top),zero),complement(join(converse(top),composition(converse(top),zero))))))
    | join(converse(top),composition(converse(top),zero)) != converse(top)
    | converse(top) = join(top,converse(join(composition(converse(top),zero),complement(converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(top,converse(join(composition(converse(top),zero),complement(join(converse(top),composition(converse(top),zero))))))) ),[1,1,0,1,0],$fot(converse(top))]]) ).

cnf(refute_0_528,plain,
    ( converse(top) != join(top,converse(join(composition(converse(top),zero),complement(join(converse(top),composition(converse(top),zero))))))
    | converse(top) = join(top,converse(join(composition(converse(top),zero),complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(converse(top),composition(converse(top),zero)),converse(top)) )],[refute_0_452,refute_0_527]) ).

cnf(refute_0_529,plain,
    converse(top) = join(top,converse(join(composition(converse(top),zero),complement(converse(top))))),
    inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(composition(converse(top),zero),complement(join(converse(top),composition(converse(top),zero))))))) )],[refute_0_526,refute_0_528]) ).

cnf(refute_0_530,plain,
    converse(join(converse(X0),join(X_13,X_14))) = join(X0,converse(join(X_13,X_14))),
    inference(subst,[],[refute_0_115:[bind(X_5,$fot(join(X_13,X_14)))]]) ).

cnf(refute_0_531,plain,
    ( converse(join(X_13,X_14)) != converse(join(X_14,X_13))
    | converse(join(converse(X0),join(X_13,X_14))) != join(X0,converse(join(X_13,X_14)))
    | converse(join(converse(X0),join(X_13,X_14))) = join(X0,converse(join(X_14,X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_13,X_14))),join(X0,converse(join(X_13,X_14)))) ),[1,1],$fot(converse(join(X_14,X_13)))]]) ).

cnf(refute_0_532,plain,
    ( converse(join(converse(X0),join(X_13,X_14))) != join(X0,converse(join(X_13,X_14)))
    | converse(join(converse(X0),join(X_13,X_14))) = join(X0,converse(join(X_14,X_13))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_13,X_14)),converse(join(X_14,X_13))) )],[refute_0_134,refute_0_531]) ).

cnf(refute_0_533,plain,
    converse(join(converse(X0),join(X_13,X_14))) = join(X0,converse(join(X_14,X_13))),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_13,X_14))),join(X0,converse(join(X_13,X_14)))) )],[refute_0_530,refute_0_532]) ).

cnf(refute_0_534,plain,
    ( converse(join(converse(X0),join(X_13,X_14))) != join(X0,converse(join(X_13,X_14)))
    | converse(join(converse(X0),join(X_13,X_14))) != join(X0,converse(join(X_14,X_13)))
    | join(X0,converse(join(X_13,X_14))) = join(X0,converse(join(X_14,X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_13,X_14))),join(X0,converse(join(X_14,X_13)))) ),[0],$fot(join(X0,converse(join(X_13,X_14))))]]) ).

cnf(refute_0_535,plain,
    ( converse(join(converse(X0),join(X_13,X_14))) != join(X0,converse(join(X_14,X_13)))
    | join(X0,converse(join(X_13,X_14))) = join(X0,converse(join(X_14,X_13))) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_13,X_14))),join(X0,converse(join(X_13,X_14)))) )],[refute_0_530,refute_0_534]) ).

cnf(refute_0_536,plain,
    join(X0,converse(join(X_13,X_14))) = join(X0,converse(join(X_14,X_13))),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_13,X_14))),join(X0,converse(join(X_14,X_13)))) )],[refute_0_533,refute_0_535]) ).

cnf(refute_0_537,plain,
    ( join(X0,converse(join(X_13,X_14))) != join(X0,converse(join(X_14,X_13)))
    | join(X0,converse(join(X_14,X_13))) = join(X0,converse(join(X_13,X_14))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,converse(join(X_13,X_14))))),bind(Y,$fot(join(X0,converse(join(X_14,X_13)))))]]) ).

cnf(refute_0_538,plain,
    join(X0,converse(join(X_14,X_13))) = join(X0,converse(join(X_13,X_14))),
    inference(resolve,[$cnf( $equal(join(X0,converse(join(X_13,X_14))),join(X0,converse(join(X_14,X_13)))) )],[refute_0_536,refute_0_537]) ).

cnf(refute_0_539,plain,
    join(top,converse(join(composition(converse(top),zero),complement(converse(top))))) = join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))),
    inference(subst,[],[refute_0_538:[bind(X0,$fot(top)),bind(X_13,$fot(complement(converse(top)))),bind(X_14,$fot(composition(converse(top),zero)))]]) ).

cnf(refute_0_540,plain,
    ( converse(top) != join(top,converse(join(composition(converse(top),zero),complement(converse(top)))))
    | join(top,converse(join(composition(converse(top),zero),complement(converse(top))))) != join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))
    | converse(top) = join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))) ),[0],$fot(join(top,converse(join(composition(converse(top),zero),complement(converse(top))))))]]) ).

cnf(refute_0_541,plain,
    ( converse(top) != join(top,converse(join(composition(converse(top),zero),complement(converse(top)))))
    | converse(top) = join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))) ),
    inference(resolve,[$cnf( $equal(join(top,converse(join(composition(converse(top),zero),complement(converse(top))))),join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))) )],[refute_0_539,refute_0_540]) ).

cnf(refute_0_542,plain,
    converse(top) = join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))),
    inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(composition(converse(top),zero),complement(converse(top)))))) )],[refute_0_529,refute_0_541]) ).

cnf(refute_0_543,plain,
    ( converse(top) != join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))
    | join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))))]]) ).

cnf(refute_0_544,plain,
    join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))) )],[refute_0_542,refute_0_543]) ).

cnf(refute_0_545,plain,
    ( converse(top) != join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))))))))
    | join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))) != converse(top)
    | converse(top) = join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))))))))) ),[1,1,1,0,0,0],$fot(converse(top))]]) ).

cnf(refute_0_546,plain,
    ( converse(top) != join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))))))))
    | converse(top) = join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))),converse(top)) )],[refute_0_544,refute_0_545]) ).

cnf(refute_0_547,plain,
    converse(top) = join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))))))))) )],[refute_0_525,refute_0_546]) ).

cnf(refute_0_548,plain,
    converse(join(join(X_13,X_14),X1)) = join(converse(join(X_13,X_14)),converse(X1)),
    inference(subst,[],[refute_0_111:[bind(X0,$fot(join(X_13,X_14)))]]) ).

cnf(refute_0_549,plain,
    ( converse(join(X_13,X_14)) != converse(join(X_14,X_13))
    | converse(join(join(X_13,X_14),X1)) != join(converse(join(X_13,X_14)),converse(X1))
    | converse(join(join(X_13,X_14),X1)) = join(converse(join(X_14,X_13)),converse(X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_13,X_14),X1)),join(converse(join(X_13,X_14)),converse(X1))) ),[1,0],$fot(converse(join(X_14,X_13)))]]) ).

cnf(refute_0_550,plain,
    ( converse(join(join(X_13,X_14),X1)) != join(converse(join(X_13,X_14)),converse(X1))
    | converse(join(join(X_13,X_14),X1)) = join(converse(join(X_14,X_13)),converse(X1)) ),
    inference(resolve,[$cnf( $equal(converse(join(X_13,X_14)),converse(join(X_14,X_13))) )],[refute_0_134,refute_0_549]) ).

cnf(refute_0_551,plain,
    converse(join(join(X_13,X_14),X1)) = join(converse(join(X_14,X_13)),converse(X1)),
    inference(resolve,[$cnf( $equal(converse(join(join(X_13,X_14),X1)),join(converse(join(X_13,X_14)),converse(X1))) )],[refute_0_548,refute_0_550]) ).

cnf(refute_0_552,plain,
    join(join(X_13,X_14),X1) = join(X_13,join(X_14,X1)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_13)),bind(X1,$fot(X_14)),bind(X2,$fot(X1))]]) ).

cnf(refute_0_553,plain,
    converse(join(join(X_13,X_14),X1)) = converse(join(join(X_13,X_14),X1)),
    introduced(tautology,[refl,[$fot(converse(join(join(X_13,X_14),X1)))]]) ).

cnf(refute_0_554,plain,
    ( converse(join(join(X_13,X_14),X1)) != converse(join(join(X_13,X_14),X1))
    | join(join(X_13,X_14),X1) != join(X_13,join(X_14,X1))
    | converse(join(join(X_13,X_14),X1)) = converse(join(X_13,join(X_14,X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_13,X_14),X1)),converse(join(join(X_13,X_14),X1))) ),[1,0],$fot(join(X_13,join(X_14,X1)))]]) ).

cnf(refute_0_555,plain,
    ( join(join(X_13,X_14),X1) != join(X_13,join(X_14,X1))
    | converse(join(join(X_13,X_14),X1)) = converse(join(X_13,join(X_14,X1))) ),
    inference(resolve,[$cnf( $equal(converse(join(join(X_13,X_14),X1)),converse(join(join(X_13,X_14),X1))) )],[refute_0_553,refute_0_554]) ).

cnf(refute_0_556,plain,
    converse(join(join(X_13,X_14),X1)) = converse(join(X_13,join(X_14,X1))),
    inference(resolve,[$cnf( $equal(join(join(X_13,X_14),X1),join(X_13,join(X_14,X1))) )],[refute_0_552,refute_0_555]) ).

cnf(refute_0_557,plain,
    ( converse(join(join(X_13,X_14),X1)) != converse(join(X_13,join(X_14,X1)))
    | converse(join(join(X_13,X_14),X1)) != join(converse(join(X_14,X_13)),converse(X1))
    | converse(join(X_13,join(X_14,X1))) = join(converse(join(X_14,X_13)),converse(X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_13,X_14),X1)),join(converse(join(X_14,X_13)),converse(X1))) ),[0],$fot(converse(join(X_13,join(X_14,X1))))]]) ).

cnf(refute_0_558,plain,
    ( converse(join(join(X_13,X_14),X1)) != join(converse(join(X_14,X_13)),converse(X1))
    | converse(join(X_13,join(X_14,X1))) = join(converse(join(X_14,X_13)),converse(X1)) ),
    inference(resolve,[$cnf( $equal(converse(join(join(X_13,X_14),X1)),converse(join(X_13,join(X_14,X1)))) )],[refute_0_556,refute_0_557]) ).

cnf(refute_0_559,plain,
    join(join(X_14,X_13),X1) = join(X_14,join(X_13,X1)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_14)),bind(X1,$fot(X_13)),bind(X2,$fot(X1))]]) ).

cnf(refute_0_560,plain,
    converse(join(join(X_14,X_13),X1)) = converse(join(join(X_14,X_13),X1)),
    introduced(tautology,[refl,[$fot(converse(join(join(X_14,X_13),X1)))]]) ).

cnf(refute_0_561,plain,
    ( converse(join(join(X_14,X_13),X1)) != converse(join(join(X_14,X_13),X1))
    | join(join(X_14,X_13),X1) != join(X_14,join(X_13,X1))
    | converse(join(join(X_14,X_13),X1)) = converse(join(X_14,join(X_13,X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_14,X_13),X1)),converse(join(join(X_14,X_13),X1))) ),[1,0],$fot(join(X_14,join(X_13,X1)))]]) ).

cnf(refute_0_562,plain,
    ( join(join(X_14,X_13),X1) != join(X_14,join(X_13,X1))
    | converse(join(join(X_14,X_13),X1)) = converse(join(X_14,join(X_13,X1))) ),
    inference(resolve,[$cnf( $equal(converse(join(join(X_14,X_13),X1)),converse(join(join(X_14,X_13),X1))) )],[refute_0_560,refute_0_561]) ).

cnf(refute_0_563,plain,
    converse(join(join(X_14,X_13),X1)) = converse(join(X_14,join(X_13,X1))),
    inference(resolve,[$cnf( $equal(join(join(X_14,X_13),X1),join(X_14,join(X_13,X1))) )],[refute_0_559,refute_0_562]) ).

cnf(refute_0_564,plain,
    join(converse(join(X_14,X_13)),converse(X1)) = converse(join(join(X_14,X_13),X1)),
    inference(subst,[],[refute_0_129:[bind(X0,$fot(join(X_14,X_13)))]]) ).

cnf(refute_0_565,plain,
    ( converse(join(join(X_14,X_13),X1)) != converse(join(X_14,join(X_13,X1)))
    | join(converse(join(X_14,X_13)),converse(X1)) != converse(join(join(X_14,X_13),X1))
    | join(converse(join(X_14,X_13)),converse(X1)) = converse(join(X_14,join(X_13,X1))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(X_14,X_13)),converse(X1)))),bind(Y,$fot(converse(join(join(X_14,X_13),X1)))),bind(Z,$fot(converse(join(X_14,join(X_13,X1)))))]]) ).

cnf(refute_0_566,plain,
    ( converse(join(join(X_14,X_13),X1)) != converse(join(X_14,join(X_13,X1)))
    | join(converse(join(X_14,X_13)),converse(X1)) = converse(join(X_14,join(X_13,X1))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X_14,X_13)),converse(X1)),converse(join(join(X_14,X_13),X1))) )],[refute_0_564,refute_0_565]) ).

cnf(refute_0_567,plain,
    join(converse(join(X_14,X_13)),converse(X1)) = converse(join(X_14,join(X_13,X1))),
    inference(resolve,[$cnf( $equal(converse(join(join(X_14,X_13),X1)),converse(join(X_14,join(X_13,X1)))) )],[refute_0_563,refute_0_566]) ).

cnf(refute_0_568,plain,
    ( converse(join(X_13,join(X_14,X1))) != join(converse(join(X_14,X_13)),converse(X1))
    | join(converse(join(X_14,X_13)),converse(X1)) != converse(join(X_14,join(X_13,X1)))
    | converse(join(X_13,join(X_14,X1))) = converse(join(X_14,join(X_13,X1))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_13,join(X_14,X1))),converse(join(X_14,join(X_13,X1)))) ),[0],$fot(join(converse(join(X_14,X_13)),converse(X1)))]]) ).

cnf(refute_0_569,plain,
    ( converse(join(X_13,join(X_14,X1))) != join(converse(join(X_14,X_13)),converse(X1))
    | converse(join(X_13,join(X_14,X1))) = converse(join(X_14,join(X_13,X1))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X_14,X_13)),converse(X1)),converse(join(X_14,join(X_13,X1)))) )],[refute_0_567,refute_0_568]) ).

cnf(refute_0_570,plain,
    ( converse(join(join(X_13,X_14),X1)) != join(converse(join(X_14,X_13)),converse(X1))
    | converse(join(X_13,join(X_14,X1))) = converse(join(X_14,join(X_13,X1))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_13,join(X_14,X1))),join(converse(join(X_14,X_13)),converse(X1))) )],[refute_0_558,refute_0_569]) ).

cnf(refute_0_571,plain,
    converse(join(X_13,join(X_14,X1))) = converse(join(X_14,join(X_13,X1))),
    inference(resolve,[$cnf( $equal(converse(join(join(X_13,X_14),X1)),join(converse(join(X_14,X_13)),converse(X1))) )],[refute_0_551,refute_0_570]) ).

cnf(refute_0_572,plain,
    ( converse(join(X_13,join(X_14,X1))) != converse(join(X_14,join(X_13,X1)))
    | converse(join(X_14,join(X_13,X1))) = converse(join(X_13,join(X_14,X1))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X_13,join(X_14,X1))))),bind(Y,$fot(converse(join(X_14,join(X_13,X1)))))]]) ).

cnf(refute_0_573,plain,
    converse(join(X_14,join(X_13,X1))) = converse(join(X_13,join(X_14,X1))),
    inference(resolve,[$cnf( $equal(converse(join(X_13,join(X_14,X1))),converse(join(X_14,join(X_13,X1)))) )],[refute_0_571,refute_0_572]) ).

cnf(refute_0_574,plain,
    converse(join(complement(converse(top)),join(zero,composition(converse(top),zero)))) = converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),
    inference(subst,[],[refute_0_573:[bind(X1,$fot(composition(converse(top),zero))),bind(X_13,$fot(zero)),bind(X_14,$fot(complement(converse(top))))]]) ).

cnf(refute_0_575,plain,
    complement(converse(converse(top))) = complement(converse(converse(top))),
    introduced(tautology,[refl,[$fot(complement(converse(converse(top))))]]) ).

cnf(refute_0_576,plain,
    ( complement(converse(converse(top))) != complement(converse(converse(top)))
    | converse(converse(top)) != top
    | complement(converse(converse(top))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(top))),complement(converse(converse(top)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_577,plain,
    ( converse(converse(top)) != top
    | complement(converse(converse(top))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(converse(converse(top))),complement(converse(converse(top)))) )],[refute_0_575,refute_0_576]) ).

cnf(refute_0_578,plain,
    complement(converse(converse(top))) = complement(top),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_269,refute_0_577]) ).

cnf(refute_0_579,plain,
    ( complement(converse(converse(top))) != complement(top)
    | complement(top) != zero
    | complement(converse(converse(top))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(converse(converse(top))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_580,plain,
    ( complement(top) != zero
    | complement(converse(converse(top))) = zero ),
    inference(resolve,[$cnf( $equal(complement(converse(converse(top))),complement(top)) )],[refute_0_578,refute_0_579]) ).

cnf(refute_0_581,plain,
    complement(converse(converse(top))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_580]) ).

cnf(refute_0_582,plain,
    join(complement(converse(converse(top))),composition(converse(top),zero)) = join(complement(converse(converse(top))),composition(converse(top),zero)),
    introduced(tautology,[refl,[$fot(join(complement(converse(converse(top))),composition(converse(top),zero)))]]) ).

cnf(refute_0_583,plain,
    ( complement(converse(converse(top))) != zero
    | join(complement(converse(converse(top))),composition(converse(top),zero)) != join(complement(converse(converse(top))),composition(converse(top),zero))
    | join(complement(converse(converse(top))),composition(converse(top),zero)) = join(zero,composition(converse(top),zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(top))),composition(converse(top),zero)),join(complement(converse(converse(top))),composition(converse(top),zero))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_584,plain,
    ( complement(converse(converse(top))) != zero
    | join(complement(converse(converse(top))),composition(converse(top),zero)) = join(zero,composition(converse(top),zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(converse(top))),composition(converse(top),zero)),join(complement(converse(converse(top))),composition(converse(top),zero))) )],[refute_0_582,refute_0_583]) ).

cnf(refute_0_585,plain,
    join(complement(converse(converse(top))),composition(converse(top),zero)) = join(zero,composition(converse(top),zero)),
    inference(resolve,[$cnf( $equal(complement(converse(converse(top))),zero) )],[refute_0_581,refute_0_584]) ).

cnf(refute_0_586,plain,
    join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))) = join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))),
    introduced(tautology,[refl,[$fot(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))]]) ).

cnf(refute_0_587,plain,
    ( join(complement(converse(converse(top))),composition(converse(top),zero)) != join(zero,composition(converse(top),zero))
    | join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))) != join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))
    | join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))) = join(complement(converse(top)),join(zero,composition(converse(top),zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))),join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) ),[1,1],$fot(join(zero,composition(converse(top),zero)))]]) ).

cnf(refute_0_588,plain,
    ( join(complement(converse(converse(top))),composition(converse(top),zero)) != join(zero,composition(converse(top),zero))
    | join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))) = join(complement(converse(top)),join(zero,composition(converse(top),zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))),join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) )],[refute_0_586,refute_0_587]) ).

cnf(refute_0_589,plain,
    join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))) = join(complement(converse(top)),join(zero,composition(converse(top),zero))),
    inference(resolve,[$cnf( $equal(join(complement(converse(converse(top))),composition(converse(top),zero)),join(zero,composition(converse(top),zero))) )],[refute_0_585,refute_0_588]) ).

cnf(refute_0_590,plain,
    converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) = converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))),
    introduced(tautology,[refl,[$fot(converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))))]]) ).

cnf(refute_0_591,plain,
    ( converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) != converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))
    | join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))) != join(complement(converse(top)),join(zero,composition(converse(top),zero)))
    | converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) = converse(join(complement(converse(top)),join(zero,composition(converse(top),zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))),converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))) ),[1,0],$fot(join(complement(converse(top)),join(zero,composition(converse(top),zero))))]]) ).

cnf(refute_0_592,plain,
    ( join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))) != join(complement(converse(top)),join(zero,composition(converse(top),zero)))
    | converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) = converse(join(complement(converse(top)),join(zero,composition(converse(top),zero)))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))),converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))) )],[refute_0_590,refute_0_591]) ).

cnf(refute_0_593,plain,
    converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) = converse(join(complement(converse(top)),join(zero,composition(converse(top),zero)))),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))),join(complement(converse(top)),join(zero,composition(converse(top),zero)))) )],[refute_0_589,refute_0_592]) ).

cnf(refute_0_594,plain,
    ( converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) != converse(join(complement(converse(top)),join(zero,composition(converse(top),zero))))
    | converse(join(complement(converse(top)),join(zero,composition(converse(top),zero)))) != converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) = converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))))),bind(Y,$fot(converse(join(complement(converse(top)),join(zero,composition(converse(top),zero)))))),bind(Z,$fot(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))))]]) ).

cnf(refute_0_595,plain,
    ( converse(join(complement(converse(top)),join(zero,composition(converse(top),zero)))) != converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) = converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))),converse(join(complement(converse(top)),join(zero,composition(converse(top),zero))))) )],[refute_0_593,refute_0_594]) ).

cnf(refute_0_596,plain,
    converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) = converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),join(zero,composition(converse(top),zero)))),converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) )],[refute_0_574,refute_0_595]) ).

cnf(refute_0_597,plain,
    converse(join(complement(converse(converse(top))),join(complement(converse(top)),composition(converse(top),zero)))) = converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))),
    inference(subst,[],[refute_0_573:[bind(X1,$fot(composition(converse(top),zero))),bind(X_13,$fot(complement(converse(top)))),bind(X_14,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_598,plain,
    ( converse(join(X0,X1)) != converse(join(X1,X0))
    | converse(join(X1,X0)) = converse(join(X0,X1)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(converse(join(X1,X0))))]]) ).

cnf(refute_0_599,plain,
    converse(join(X1,X0)) = converse(join(X0,X1)),
    inference(resolve,[$cnf( $equal(converse(join(X0,X1)),converse(join(X1,X0))) )],[refute_0_133,refute_0_598]) ).

cnf(refute_0_600,plain,
    converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))) = converse(join(complement(converse(converse(top))),join(complement(converse(top)),composition(converse(top),zero)))),
    inference(subst,[],[refute_0_599:[bind(X0,$fot(complement(converse(converse(top))))),bind(X1,$fot(join(complement(converse(top)),composition(converse(top),zero))))]]) ).

cnf(refute_0_601,plain,
    ( converse(join(complement(converse(converse(top))),join(complement(converse(top)),composition(converse(top),zero)))) != converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))
    | converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))) != converse(join(complement(converse(converse(top))),join(complement(converse(top)),composition(converse(top),zero))))
    | converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))) = converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))))),bind(Y,$fot(converse(join(complement(converse(converse(top))),join(complement(converse(top)),composition(converse(top),zero)))))),bind(Z,$fot(converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))))]]) ).

cnf(refute_0_602,plain,
    ( converse(join(complement(converse(converse(top))),join(complement(converse(top)),composition(converse(top),zero)))) != converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))
    | converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))) = converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) ),
    inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))),converse(join(complement(converse(converse(top))),join(complement(converse(top)),composition(converse(top),zero))))) )],[refute_0_600,refute_0_601]) ).

cnf(refute_0_603,plain,
    converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))) = converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(converse(top))),join(complement(converse(top)),composition(converse(top),zero)))),converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))) )],[refute_0_597,refute_0_602]) ).

cnf(refute_0_604,plain,
    join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) = converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))),
    inference(subst,[],[refute_0_129:[bind(X0,$fot(join(complement(converse(top)),composition(converse(top),zero)))),bind(X1,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_605,plain,
    ( converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))) != converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))
    | join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) != converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top)))))
    | join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) = converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))))),bind(Z,$fot(converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))))]]) ).

cnf(refute_0_606,plain,
    ( converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))) != converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))
    | join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) = converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))),converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top)))))) )],[refute_0_604,refute_0_605]) ).

cnf(refute_0_607,plain,
    join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) = converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))),
    inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),composition(converse(top),zero)),complement(converse(converse(top))))),converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))) )],[refute_0_603,refute_0_606]) ).

cnf(refute_0_608,plain,
    ( converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) != converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) != converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))
    | join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))))),bind(Z,$fot(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))))]]) ).

cnf(refute_0_609,plain,
    ( converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))) != converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))),converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero))))) )],[refute_0_607,refute_0_608]) ).

cnf(refute_0_610,plain,
    join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),join(complement(converse(converse(top))),composition(converse(top),zero)))),converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) )],[refute_0_596,refute_0_609]) ).

cnf(refute_0_611,plain,
    join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))) = join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_612,plain,
    ( join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))) != join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))))
    | join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))) = join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))),join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))]]) ).

cnf(refute_0_613,plain,
    ( join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))) = join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))),join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))))) )],[refute_0_611,refute_0_612]) ).

cnf(refute_0_614,plain,
    join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))) = join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))),
    inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))),converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) )],[refute_0_610,refute_0_613]) ).

cnf(refute_0_615,plain,
    join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))) = join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))),
    inference(subst,[],[refute_0_175:[bind(X_13,$fot(converse(join(complement(converse(top)),composition(converse(top),zero))))),bind(X_14,$fot(top)),bind(X_5,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_616,plain,
    ( join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))) != join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))))
    | join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))) != join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))
    | join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))) = join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))))),bind(Y,$fot(join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))))]]) ).

cnf(refute_0_617,plain,
    ( join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))) != join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))
    | join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))) = join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))),join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top))))))) )],[refute_0_615,refute_0_616]) ).

cnf(refute_0_618,plain,
    join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))) = join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))),
    inference(resolve,[$cnf( $equal(join(top,join(converse(join(complement(converse(top)),composition(converse(top),zero))),converse(complement(converse(converse(top)))))),join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))) )],[refute_0_614,refute_0_617]) ).

cnf(refute_0_619,plain,
    ( converse(top) != join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top))))))
    | join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))) != join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))
    | converse(top) = join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))) ),[0],$fot(join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_620,plain,
    ( converse(top) != join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top))))))
    | converse(top) = join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top)))))),join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))) )],[refute_0_618,refute_0_619]) ).

cnf(refute_0_621,plain,
    converse(top) = join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))),
    inference(resolve,[$cnf( $equal(converse(top),join(converse(join(complement(converse(top)),composition(converse(top),zero))),join(top,converse(complement(converse(converse(top))))))) )],[refute_0_547,refute_0_620]) ).

cnf(refute_0_622,plain,
    ( converse(top) != join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))
    | join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))))]]) ).

cnf(refute_0_623,plain,
    join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))) )],[refute_0_621,refute_0_622]) ).

cnf(refute_0_624,plain,
    ( converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) != converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))))
    | join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))) != converse(top)
    | converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)),converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))))) ),[1,0],$fot(converse(top))]]) ).

cnf(refute_0_625,plain,
    ( converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) != converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))))
    | converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))),converse(top)) )],[refute_0_623,refute_0_624]) ).

cnf(refute_0_626,plain,
    converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) = converse(converse(top)),
    inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)),converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))))) )],[refute_0_524,refute_0_625]) ).

cnf(refute_0_627,plain,
    converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))) = join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(join(zero,join(complement(converse(top)),composition(converse(top),zero))))),bind(X_4,$fot(top))]]) ).

cnf(refute_0_628,plain,
    ( converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) != converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))))
    | converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))) != join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) = join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)))),bind(Y,$fot(converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))))),bind(Z,$fot(join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))))]]) ).

cnf(refute_0_629,plain,
    ( converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))) != join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) = join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)),converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero))))))) )],[refute_0_524,refute_0_628]) ).

cnf(refute_0_630,plain,
    converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) = join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))),
    inference(resolve,[$cnf( $equal(converse(join(top,converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))))),join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))) )],[refute_0_627,refute_0_629]) ).

cnf(refute_0_631,plain,
    ( converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) != converse(converse(top))
    | converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) != join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)),converse(converse(top))) ),[0],$fot(join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))))]]) ).

cnf(refute_0_632,plain,
    ( converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) != converse(converse(top))
    | join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)),join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))) )],[refute_0_630,refute_0_631]) ).

cnf(refute_0_633,plain,
    ( converse(converse(top)) != top
    | join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) != converse(converse(top))
    | join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))),converse(converse(top))) ),[1],$fot(top)]]) ).

cnf(refute_0_634,plain,
    ( join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) != converse(converse(top))
    | join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) = top ),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_269,refute_0_633]) ).

cnf(refute_0_635,plain,
    ( converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)) != converse(converse(top))
    | join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))),converse(converse(top))) )],[refute_0_632,refute_0_634]) ).

cnf(refute_0_636,plain,
    join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) = top,
    inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top)),converse(converse(top))) )],[refute_0_626,refute_0_635]) ).

cnf(refute_0_637,plain,
    ( join(X_50,join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))) != join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) != top
    | join(X_50,top) = join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))),join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero))))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_638,plain,
    ( join(X_50,join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))) != join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | join(X_50,top) = join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) ),
    inference(resolve,[$cnf( $equal(join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero)))),top) )],[refute_0_636,refute_0_637]) ).

cnf(refute_0_639,plain,
    join(X_50,top) = join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))),
    inference(resolve,[$cnf( $equal(join(X_50,join(converse(top),join(zero,join(complement(converse(top)),composition(converse(top),zero))))),join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero))))) )],[refute_0_523,refute_0_638]) ).

cnf(refute_0_640,plain,
    join(zero,join(X_50,top)) = join(top,join(zero,X_50)),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(top)),bind(X_50,$fot(zero)),bind(X_51,$fot(X_50))]]) ).

cnf(refute_0_641,plain,
    join(X_50,join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))) = join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_50)),bind(X1,$fot(converse(top))),bind(X2,$fot(join(complement(converse(top)),composition(converse(top),zero))))]]) ).

cnf(refute_0_642,plain,
    converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) = converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(converse(join(complement(converse(top)),composition(converse(top),zero))))),bind(X1,$fot(top))]]) ).

cnf(refute_0_643,plain,
    ( converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) != converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))))
    | join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))) != converse(top)
    | converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)),converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))))) ),[1,0],$fot(converse(top))]]) ).

cnf(refute_0_644,plain,
    ( converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) != converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))))
    | converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))),converse(top)) )],[refute_0_544,refute_0_643]) ).

cnf(refute_0_645,plain,
    converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) = converse(converse(top)),
    inference(resolve,[$cnf( $equal(converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)),converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))))) )],[refute_0_642,refute_0_644]) ).

cnf(refute_0_646,plain,
    converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))) = join(converse(top),join(complement(converse(top)),composition(converse(top),zero))),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(join(complement(converse(top)),composition(converse(top),zero)))),bind(X_4,$fot(top))]]) ).

cnf(refute_0_647,plain,
    ( converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) != converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))))
    | converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))) != join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))
    | converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) = join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)))),bind(Y,$fot(converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))))),bind(Z,$fot(join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))))]]) ).

cnf(refute_0_648,plain,
    ( converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))) != join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))
    | converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) = join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)),converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero)))))) )],[refute_0_642,refute_0_647]) ).

cnf(refute_0_649,plain,
    converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) = join(converse(top),join(complement(converse(top)),composition(converse(top),zero))),
    inference(resolve,[$cnf( $equal(converse(join(top,converse(join(complement(converse(top)),composition(converse(top),zero))))),join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))) )],[refute_0_646,refute_0_648]) ).

cnf(refute_0_650,plain,
    ( converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) != converse(converse(top))
    | converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) != join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))
    | join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)),converse(converse(top))) ),[0],$fot(join(converse(top),join(complement(converse(top)),composition(converse(top),zero))))]]) ).

cnf(refute_0_651,plain,
    ( converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) != converse(converse(top))
    | join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)),join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))) )],[refute_0_649,refute_0_650]) ).

cnf(refute_0_652,plain,
    ( converse(converse(top)) != top
    | join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) != converse(converse(top))
    | join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),join(complement(converse(top)),composition(converse(top),zero))),converse(converse(top))) ),[1],$fot(top)]]) ).

cnf(refute_0_653,plain,
    ( join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) != converse(converse(top))
    | join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) = top ),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_269,refute_0_652]) ).

cnf(refute_0_654,plain,
    ( converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)) != converse(converse(top))
    | join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(top),join(complement(converse(top)),composition(converse(top),zero))),converse(converse(top))) )],[refute_0_651,refute_0_653]) ).

cnf(refute_0_655,plain,
    join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) = top,
    inference(resolve,[$cnf( $equal(converse(join(converse(join(complement(converse(top)),composition(converse(top),zero))),top)),converse(converse(top))) )],[refute_0_645,refute_0_654]) ).

cnf(refute_0_656,plain,
    ( join(X_50,join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))) != join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero)))
    | join(converse(top),join(complement(converse(top)),composition(converse(top),zero))) != top
    | join(X_50,top) = join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))),join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero)))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_657,plain,
    ( join(X_50,join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))) != join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero)))
    | join(X_50,top) = join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) ),
    inference(resolve,[$cnf( $equal(join(converse(top),join(complement(converse(top)),composition(converse(top),zero))),top) )],[refute_0_655,refute_0_656]) ).

cnf(refute_0_658,plain,
    join(X_50,top) = join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))),
    inference(resolve,[$cnf( $equal(join(X_50,join(converse(top),join(complement(converse(top)),composition(converse(top),zero)))),join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero)))) )],[refute_0_641,refute_0_657]) ).

cnf(refute_0_659,plain,
    converse(join(X_4,converse(join(X_13,X_14)))) = join(converse(X_4),join(X_13,X_14)),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(join(X_13,X_14)))]]) ).

cnf(refute_0_660,plain,
    ( converse(join(X_13,X_14)) != converse(join(X_14,X_13))
    | converse(join(X_4,converse(join(X_13,X_14)))) != join(converse(X_4),join(X_13,X_14))
    | converse(join(X_4,converse(join(X_14,X_13)))) = join(converse(X_4),join(X_13,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(join(X_13,X_14)))),join(converse(X_4),join(X_13,X_14))) ),[0,0,1],$fot(converse(join(X_14,X_13)))]]) ).

cnf(refute_0_661,plain,
    ( converse(join(X_4,converse(join(X_13,X_14)))) != join(converse(X_4),join(X_13,X_14))
    | converse(join(X_4,converse(join(X_14,X_13)))) = join(converse(X_4),join(X_13,X_14)) ),
    inference(resolve,[$cnf( $equal(converse(join(X_13,X_14)),converse(join(X_14,X_13))) )],[refute_0_134,refute_0_660]) ).

cnf(refute_0_662,plain,
    converse(join(X_4,converse(join(X_14,X_13)))) = join(converse(X_4),join(X_13,X_14)),
    inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_13,X_14)))),join(converse(X_4),join(X_13,X_14))) )],[refute_0_659,refute_0_661]) ).

cnf(refute_0_663,plain,
    converse(join(X_4,converse(join(X_14,X_13)))) = join(converse(X_4),join(X_14,X_13)),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(join(X_14,X_13)))]]) ).

cnf(refute_0_664,plain,
    ( converse(join(X_4,converse(join(X_14,X_13)))) != join(converse(X_4),join(X_13,X_14))
    | converse(join(X_4,converse(join(X_14,X_13)))) != join(converse(X_4),join(X_14,X_13))
    | join(converse(X_4),join(X_14,X_13)) = join(converse(X_4),join(X_13,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(join(X_14,X_13)))),join(converse(X_4),join(X_13,X_14))) ),[0],$fot(join(converse(X_4),join(X_14,X_13)))]]) ).

cnf(refute_0_665,plain,
    ( converse(join(X_4,converse(join(X_14,X_13)))) != join(converse(X_4),join(X_13,X_14))
    | join(converse(X_4),join(X_14,X_13)) = join(converse(X_4),join(X_13,X_14)) ),
    inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_14,X_13)))),join(converse(X_4),join(X_14,X_13))) )],[refute_0_663,refute_0_664]) ).

cnf(refute_0_666,plain,
    join(converse(X_4),join(X_14,X_13)) = join(converse(X_4),join(X_13,X_14)),
    inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_14,X_13)))),join(converse(X_4),join(X_13,X_14))) )],[refute_0_662,refute_0_665]) ).

cnf(refute_0_667,plain,
    ( join(converse(X_4),join(X_14,X_13)) != join(converse(X_4),join(X_13,X_14))
    | join(converse(X_4),join(X_13,X_14)) = join(converse(X_4),join(X_14,X_13)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(converse(X_4),join(X_14,X_13)))),bind(Y,$fot(join(converse(X_4),join(X_13,X_14))))]]) ).

cnf(refute_0_668,plain,
    join(converse(X_4),join(X_13,X_14)) = join(converse(X_4),join(X_14,X_13)),
    inference(resolve,[$cnf( $equal(join(converse(X_4),join(X_14,X_13)),join(converse(X_4),join(X_13,X_14))) )],[refute_0_666,refute_0_667]) ).

cnf(refute_0_669,plain,
    join(converse(top),join(join(composition(converse(top),zero),X_50),complement(converse(top)))) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))),
    inference(subst,[],[refute_0_668:[bind(X_13,$fot(join(composition(converse(top),zero),X_50))),bind(X_14,$fot(complement(converse(top)))),bind(X_4,$fot(top))]]) ).

cnf(refute_0_670,plain,
    join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))) = join(converse(top),join(join(composition(converse(top),zero),X_50),complement(converse(top)))),
    inference(subst,[],[refute_0_191:[bind(X0,$fot(complement(converse(top)))),bind(X_50,$fot(converse(top))),bind(X_51,$fot(join(composition(converse(top),zero),X_50)))]]) ).

cnf(refute_0_671,plain,
    ( join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))) != join(converse(top),join(join(composition(converse(top),zero),X_50),complement(converse(top))))
    | join(converse(top),join(join(composition(converse(top),zero),X_50),complement(converse(top)))) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))))),bind(Y,$fot(join(converse(top),join(join(composition(converse(top),zero),X_50),complement(converse(top)))))),bind(Z,$fot(join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))))]]) ).

cnf(refute_0_672,plain,
    ( join(converse(top),join(join(composition(converse(top),zero),X_50),complement(converse(top)))) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))),join(converse(top),join(join(composition(converse(top),zero),X_50),complement(converse(top))))) )],[refute_0_670,refute_0_671]) ).

cnf(refute_0_673,plain,
    join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))),
    inference(resolve,[$cnf( $equal(join(converse(top),join(join(composition(converse(top),zero),X_50),complement(converse(top)))),join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))) )],[refute_0_669,refute_0_672]) ).

cnf(refute_0_674,plain,
    join(composition(converse(top),zero),join(X_50,converse(top))) = join(converse(top),join(composition(converse(top),zero),X_50)),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(converse(top))),bind(X_50,$fot(composition(converse(top),zero))),bind(X_51,$fot(X_50))]]) ).

cnf(refute_0_675,plain,
    join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) = join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))),
    introduced(tautology,[refl,[$fot(join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))))]]) ).

cnf(refute_0_676,plain,
    ( join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) != join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top))))
    | join(composition(converse(top),zero),join(X_50,converse(top))) != join(converse(top),join(composition(converse(top),zero),X_50))
    | join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) = join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))),join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top))))) ),[1,1],$fot(join(converse(top),join(composition(converse(top),zero),X_50)))]]) ).

cnf(refute_0_677,plain,
    ( join(composition(converse(top),zero),join(X_50,converse(top))) != join(converse(top),join(composition(converse(top),zero),X_50))
    | join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) = join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))),join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top))))) )],[refute_0_675,refute_0_676]) ).

cnf(refute_0_678,plain,
    join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) = join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(X_50,converse(top))),join(converse(top),join(composition(converse(top),zero),X_50))) )],[refute_0_674,refute_0_677]) ).

cnf(refute_0_679,plain,
    ( join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) != join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50)))
    | join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))))),bind(Y,$fot(join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))))),bind(Z,$fot(join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))))]]) ).

cnf(refute_0_680,plain,
    ( join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))),join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50)))) )],[refute_0_678,refute_0_679]) ).

cnf(refute_0_681,plain,
    join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(converse(top),join(composition(converse(top),zero),X_50))),join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))) )],[refute_0_673,refute_0_680]) ).

cnf(refute_0_682,plain,
    join(composition(converse(top),zero),join(join(X_50,converse(top)),complement(converse(top)))) = join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(complement(converse(top)))),bind(X_50,$fot(composition(converse(top),zero))),bind(X_51,$fot(join(X_50,converse(top))))]]) ).

cnf(refute_0_683,plain,
    join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) = join(composition(converse(top),zero),join(join(X_50,converse(top)),complement(converse(top)))),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(composition(converse(top),zero))),bind(X_50,$fot(join(X_50,converse(top)))),bind(X_51,$fot(complement(converse(top))))]]) ).

cnf(refute_0_684,plain,
    ( join(composition(converse(top),zero),join(join(X_50,converse(top)),complement(converse(top)))) != join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top))))
    | join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) != join(composition(converse(top),zero),join(join(X_50,converse(top)),complement(converse(top))))
    | join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) = join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))))),bind(Y,$fot(join(composition(converse(top),zero),join(join(X_50,converse(top)),complement(converse(top)))))),bind(Z,$fot(join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top))))))]]) ).

cnf(refute_0_685,plain,
    ( join(composition(converse(top),zero),join(join(X_50,converse(top)),complement(converse(top)))) != join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top))))
    | join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) = join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))),join(composition(converse(top),zero),join(join(X_50,converse(top)),complement(converse(top))))) )],[refute_0_683,refute_0_684]) ).

cnf(refute_0_686,plain,
    join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) = join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(join(X_50,converse(top)),complement(converse(top)))),join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top))))) )],[refute_0_682,refute_0_685]) ).

cnf(refute_0_687,plain,
    ( join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) != join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top))))
    | join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))))),bind(Y,$fot(join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))))),bind(Z,$fot(join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))))]]) ).

cnf(refute_0_688,plain,
    ( join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))),join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top))))) )],[refute_0_686,refute_0_687]) ).

cnf(refute_0_689,plain,
    join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(composition(converse(top),zero),join(X_50,converse(top)))),join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))) )],[refute_0_681,refute_0_688]) ).

cnf(refute_0_690,plain,
    ( join(X_50,top) != join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero)))
    | join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(X_50,top) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,top),join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))) ),[0],$fot(join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))))]]) ).

cnf(refute_0_691,plain,
    ( join(X_50,top) != join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero)))
    | join(X_50,top) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero))),join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))) )],[refute_0_689,refute_0_690]) ).

cnf(refute_0_692,plain,
    join(X_50,top) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(join(X_50,converse(top)),join(complement(converse(top)),composition(converse(top),zero)))) )],[refute_0_658,refute_0_691]) ).

cnf(refute_0_693,plain,
    ( join(X_50,top) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) = join(X_50,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_50,top))),bind(Y,$fot(join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))))]]) ).

cnf(refute_0_694,plain,
    join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) = join(X_50,top),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))) )],[refute_0_692,refute_0_693]) ).

cnf(refute_0_695,plain,
    join(join(complement(converse(top)),composition(converse(top),zero)),X_50) = join(complement(converse(top)),join(composition(converse(top),zero),X_50)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(composition(converse(top),zero))),bind(X2,$fot(X_50))]]) ).

cnf(refute_0_696,plain,
    join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) = join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)),
    introduced(tautology,[refl,[$fot(join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)))]]) ).

cnf(refute_0_697,plain,
    ( join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) != join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50))
    | join(join(complement(converse(top)),composition(converse(top),zero)),X_50) != join(complement(converse(top)),join(composition(converse(top),zero),X_50))
    | join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)),join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50))) ),[1,1],$fot(join(complement(converse(top)),join(composition(converse(top),zero),X_50)))]]) ).

cnf(refute_0_698,plain,
    ( join(join(complement(converse(top)),composition(converse(top),zero)),X_50) != join(complement(converse(top)),join(composition(converse(top),zero),X_50))
    | join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) ),
    inference(resolve,[$cnf( $equal(join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)),join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50))) )],[refute_0_696,refute_0_697]) ).

cnf(refute_0_699,plain,
    join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) = join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))),
    inference(resolve,[$cnf( $equal(join(join(complement(converse(top)),composition(converse(top),zero)),X_50),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) )],[refute_0_695,refute_0_698]) ).

cnf(refute_0_700,plain,
    ( join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) != join(X_50,top)
    | join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) = join(X_50,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)))),bind(Y,$fot(join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))))),bind(Z,$fot(join(X_50,top)))]]) ).

cnf(refute_0_701,plain,
    ( join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) != join(X_50,top)
    | join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) = join(X_50,top) ),
    inference(resolve,[$cnf( $equal(join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)),join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))) )],[refute_0_699,refute_0_700]) ).

cnf(refute_0_702,plain,
    join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) = join(X_50,top),
    inference(resolve,[$cnf( $equal(join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))),join(X_50,top)) )],[refute_0_694,refute_0_701]) ).

cnf(refute_0_703,plain,
    join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))) = join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(converse(top))),bind(X_50,$fot(join(complement(converse(top)),composition(converse(top),zero)))),bind(X_51,$fot(X_50))]]) ).

cnf(refute_0_704,plain,
    ( join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) != join(X_50,top)
    | join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))) != join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50))
    | join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))) = join(X_50,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))))),bind(Y,$fot(join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)))),bind(Z,$fot(join(X_50,top)))]]) ).

cnf(refute_0_705,plain,
    ( join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)) != join(X_50,top)
    | join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))) = join(X_50,top) ),
    inference(resolve,[$cnf( $equal(join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))),join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50))) )],[refute_0_703,refute_0_704]) ).

cnf(refute_0_706,plain,
    join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))) = join(X_50,top),
    inference(resolve,[$cnf( $equal(join(converse(top),join(join(complement(converse(top)),composition(converse(top),zero)),X_50)),join(X_50,top)) )],[refute_0_702,refute_0_705]) ).

cnf(refute_0_707,plain,
    join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) = join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))),
    introduced(tautology,[refl,[$fot(join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))))]]) ).

cnf(refute_0_708,plain,
    ( join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))) != join(X_50,top)
    | join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) != join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))))
    | join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) = join(zero,join(X_50,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))),join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))))) ),[1,1],$fot(join(X_50,top))]]) ).

cnf(refute_0_709,plain,
    ( join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))) != join(X_50,top)
    | join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) = join(zero,join(X_50,top)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))),join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))))) )],[refute_0_707,refute_0_708]) ).

cnf(refute_0_710,plain,
    join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) = join(zero,join(X_50,top)),
    inference(resolve,[$cnf( $equal(join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))),join(X_50,top)) )],[refute_0_706,refute_0_709]) ).

cnf(refute_0_711,plain,
    ( join(zero,join(X_50,top)) != join(top,join(zero,X_50))
    | join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) != join(zero,join(X_50,top))
    | join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) = join(top,join(zero,X_50)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))))),bind(Y,$fot(join(zero,join(X_50,top)))),bind(Z,$fot(join(top,join(zero,X_50))))]]) ).

cnf(refute_0_712,plain,
    ( join(zero,join(X_50,top)) != join(top,join(zero,X_50))
    | join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) = join(top,join(zero,X_50)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))),join(zero,join(X_50,top))) )],[refute_0_710,refute_0_711]) ).

cnf(refute_0_713,plain,
    join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) = join(top,join(zero,X_50)),
    inference(resolve,[$cnf( $equal(join(zero,join(X_50,top)),join(top,join(zero,X_50))) )],[refute_0_640,refute_0_712]) ).

cnf(refute_0_714,plain,
    join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) = join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))),
    inference(subst,[],[refute_0_191:[bind(X0,$fot(join(X_50,converse(top)))),bind(X_50,$fot(zero)),bind(X_51,$fot(join(complement(converse(top)),composition(converse(top),zero))))]]) ).

cnf(refute_0_715,plain,
    ( join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) != join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))))
    | join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) != join(top,join(zero,X_50))
    | join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) = join(top,join(zero,X_50)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))))),bind(Y,$fot(join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))))),bind(Z,$fot(join(top,join(zero,X_50))))]]) ).

cnf(refute_0_716,plain,
    ( join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))) != join(top,join(zero,X_50))
    | join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) = join(top,join(zero,X_50)) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))),join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top))))) )],[refute_0_714,refute_0_715]) ).

cnf(refute_0_717,plain,
    join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) = join(top,join(zero,X_50)),
    inference(resolve,[$cnf( $equal(join(zero,join(join(complement(converse(top)),composition(converse(top),zero)),join(X_50,converse(top)))),join(top,join(zero,X_50))) )],[refute_0_713,refute_0_716]) ).

cnf(refute_0_718,plain,
    ( join(X_50,top) != join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))) != join(top,join(zero,X_50))
    | join(X_50,top) = join(top,join(zero,X_50)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,top),join(top,join(zero,X_50))) ),[0],$fot(join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))))]]) ).

cnf(refute_0_719,plain,
    ( join(X_50,top) != join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero))))
    | join(X_50,top) = join(top,join(zero,X_50)) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero)))),join(top,join(zero,X_50))) )],[refute_0_717,refute_0_718]) ).

cnf(refute_0_720,plain,
    join(X_50,top) = join(top,join(zero,X_50)),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(join(X_50,converse(top)),join(zero,join(complement(converse(top)),composition(converse(top),zero))))) )],[refute_0_639,refute_0_719]) ).

cnf(refute_0_721,plain,
    join(join(X_55,complement(join(zero,X_55))),top) = join(top,join(zero,join(X_55,complement(join(zero,X_55))))),
    inference(subst,[],[refute_0_720:[bind(X_50,$fot(join(X_55,complement(join(zero,X_55)))))]]) ).

cnf(refute_0_722,plain,
    top = join(zero,join(X_55,complement(join(zero,X_55)))),
    inference(subst,[],[refute_0_295:[bind(X0,$fot(zero)),bind(X_24,$fot(X_55))]]) ).

cnf(refute_0_723,plain,
    ( top != join(zero,join(X_55,complement(join(zero,X_55))))
    | join(zero,join(X_55,complement(join(zero,X_55)))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(X_55,complement(join(zero,X_55))))))]]) ).

cnf(refute_0_724,plain,
    join(zero,join(X_55,complement(join(zero,X_55)))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,join(X_55,complement(join(zero,X_55))))) )],[refute_0_722,refute_0_723]) ).

cnf(refute_0_725,plain,
    ( join(join(X_55,complement(join(zero,X_55))),top) != join(top,join(zero,join(X_55,complement(join(zero,X_55)))))
    | join(zero,join(X_55,complement(join(zero,X_55)))) != top
    | join(join(X_55,complement(join(zero,X_55))),top) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_55,complement(join(zero,X_55))),top),join(top,join(zero,join(X_55,complement(join(zero,X_55)))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_726,plain,
    ( join(join(X_55,complement(join(zero,X_55))),top) != join(top,join(zero,join(X_55,complement(join(zero,X_55)))))
    | join(join(X_55,complement(join(zero,X_55))),top) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(zero,join(X_55,complement(join(zero,X_55)))),top) )],[refute_0_724,refute_0_725]) ).

cnf(refute_0_727,plain,
    join(join(X_55,complement(join(zero,X_55))),top) = join(top,top),
    inference(resolve,[$cnf( $equal(join(join(X_55,complement(join(zero,X_55))),top),join(top,join(zero,join(X_55,complement(join(zero,X_55)))))) )],[refute_0_721,refute_0_726]) ).

cnf(refute_0_728,plain,
    join(top,join(join(zero,X_53),X2)) = join(join(top,join(zero,X_53)),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(top)),bind(X1,$fot(join(zero,X_53)))]]) ).

cnf(refute_0_729,plain,
    join(X_53,top) = join(top,join(zero,X_53)),
    inference(subst,[],[refute_0_720:[bind(X_50,$fot(X_53))]]) ).

cnf(refute_0_730,plain,
    ( join(X_53,top) != join(top,join(zero,X_53))
    | join(top,join(zero,X_53)) = join(X_53,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_53,top))),bind(Y,$fot(join(top,join(zero,X_53))))]]) ).

cnf(refute_0_731,plain,
    join(top,join(zero,X_53)) = join(X_53,top),
    inference(resolve,[$cnf( $equal(join(X_53,top),join(top,join(zero,X_53))) )],[refute_0_729,refute_0_730]) ).

cnf(refute_0_732,plain,
    ( join(top,join(join(zero,X_53),X2)) != join(join(top,join(zero,X_53)),X2)
    | join(top,join(zero,X_53)) != join(X_53,top)
    | join(top,join(join(zero,X_53),X2)) = join(join(X_53,top),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(zero,X_53),X2)),join(join(top,join(zero,X_53)),X2)) ),[1,0],$fot(join(X_53,top))]]) ).

cnf(refute_0_733,plain,
    ( join(top,join(join(zero,X_53),X2)) != join(join(top,join(zero,X_53)),X2)
    | join(top,join(join(zero,X_53),X2)) = join(join(X_53,top),X2) ),
    inference(resolve,[$cnf( $equal(join(top,join(zero,X_53)),join(X_53,top)) )],[refute_0_731,refute_0_732]) ).

cnf(refute_0_734,plain,
    join(top,join(join(zero,X_53),X2)) = join(join(X_53,top),X2),
    inference(resolve,[$cnf( $equal(join(top,join(join(zero,X_53),X2)),join(join(top,join(zero,X_53)),X2)) )],[refute_0_728,refute_0_733]) ).

cnf(refute_0_735,plain,
    join(join(X_53,X2),top) = join(X_53,join(X2,top)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_53)),bind(X1,$fot(X2)),bind(X2,$fot(top))]]) ).

cnf(refute_0_736,plain,
    ( join(X_50,top) != join(top,join(zero,X_50))
    | join(top,join(zero,X_50)) = join(X_50,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_50,top))),bind(Y,$fot(join(top,join(zero,X_50))))]]) ).

cnf(refute_0_737,plain,
    join(top,join(zero,X_50)) = join(X_50,top),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(top,join(zero,X_50))) )],[refute_0_720,refute_0_736]) ).

cnf(refute_0_738,plain,
    join(top,join(zero,join(X_53,X2))) = join(join(X_53,X2),top),
    inference(subst,[],[refute_0_737:[bind(X_50,$fot(join(X_53,X2)))]]) ).

cnf(refute_0_739,plain,
    ( join(join(X_53,X2),top) != join(X_53,join(X2,top))
    | join(top,join(zero,join(X_53,X2))) != join(join(X_53,X2),top)
    | join(top,join(zero,join(X_53,X2))) = join(X_53,join(X2,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(zero,join(X_53,X2))))),bind(Y,$fot(join(join(X_53,X2),top))),bind(Z,$fot(join(X_53,join(X2,top))))]]) ).

cnf(refute_0_740,plain,
    ( join(join(X_53,X2),top) != join(X_53,join(X2,top))
    | join(top,join(zero,join(X_53,X2))) = join(X_53,join(X2,top)) ),
    inference(resolve,[$cnf( $equal(join(top,join(zero,join(X_53,X2))),join(join(X_53,X2),top)) )],[refute_0_738,refute_0_739]) ).

cnf(refute_0_741,plain,
    join(top,join(zero,join(X_53,X2))) = join(X_53,join(X2,top)),
    inference(resolve,[$cnf( $equal(join(join(X_53,X2),top),join(X_53,join(X2,top))) )],[refute_0_735,refute_0_740]) ).

cnf(refute_0_742,plain,
    join(join(zero,X_53),X2) = join(zero,join(X_53,X2)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(zero)),bind(X1,$fot(X_53))]]) ).

cnf(refute_0_743,plain,
    join(top,join(join(zero,X_53),X2)) = join(top,join(join(zero,X_53),X2)),
    introduced(tautology,[refl,[$fot(join(top,join(join(zero,X_53),X2)))]]) ).

cnf(refute_0_744,plain,
    ( join(join(zero,X_53),X2) != join(zero,join(X_53,X2))
    | join(top,join(join(zero,X_53),X2)) != join(top,join(join(zero,X_53),X2))
    | join(top,join(join(zero,X_53),X2)) = join(top,join(zero,join(X_53,X2))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(zero,X_53),X2)),join(top,join(join(zero,X_53),X2))) ),[1,1],$fot(join(zero,join(X_53,X2)))]]) ).

cnf(refute_0_745,plain,
    ( join(join(zero,X_53),X2) != join(zero,join(X_53,X2))
    | join(top,join(join(zero,X_53),X2)) = join(top,join(zero,join(X_53,X2))) ),
    inference(resolve,[$cnf( $equal(join(top,join(join(zero,X_53),X2)),join(top,join(join(zero,X_53),X2))) )],[refute_0_743,refute_0_744]) ).

cnf(refute_0_746,plain,
    join(top,join(join(zero,X_53),X2)) = join(top,join(zero,join(X_53,X2))),
    inference(resolve,[$cnf( $equal(join(join(zero,X_53),X2),join(zero,join(X_53,X2))) )],[refute_0_742,refute_0_745]) ).

cnf(refute_0_747,plain,
    ( join(top,join(join(zero,X_53),X2)) != join(top,join(zero,join(X_53,X2)))
    | join(top,join(zero,join(X_53,X2))) != join(X_53,join(X2,top))
    | join(top,join(join(zero,X_53),X2)) = join(X_53,join(X2,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(join(zero,X_53),X2)))),bind(Y,$fot(join(top,join(zero,join(X_53,X2))))),bind(Z,$fot(join(X_53,join(X2,top))))]]) ).

cnf(refute_0_748,plain,
    ( join(top,join(zero,join(X_53,X2))) != join(X_53,join(X2,top))
    | join(top,join(join(zero,X_53),X2)) = join(X_53,join(X2,top)) ),
    inference(resolve,[$cnf( $equal(join(top,join(join(zero,X_53),X2)),join(top,join(zero,join(X_53,X2)))) )],[refute_0_746,refute_0_747]) ).

cnf(refute_0_749,plain,
    join(top,join(join(zero,X_53),X2)) = join(X_53,join(X2,top)),
    inference(resolve,[$cnf( $equal(join(top,join(zero,join(X_53,X2))),join(X_53,join(X2,top))) )],[refute_0_741,refute_0_748]) ).

cnf(refute_0_750,plain,
    ( join(top,join(join(zero,X_53),X2)) != join(X_53,join(X2,top))
    | join(top,join(join(zero,X_53),X2)) != join(join(X_53,top),X2)
    | join(X_53,join(X2,top)) = join(join(X_53,top),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(zero,X_53),X2)),join(join(X_53,top),X2)) ),[0],$fot(join(X_53,join(X2,top)))]]) ).

cnf(refute_0_751,plain,
    ( join(top,join(join(zero,X_53),X2)) != join(join(X_53,top),X2)
    | join(X_53,join(X2,top)) = join(join(X_53,top),X2) ),
    inference(resolve,[$cnf( $equal(join(top,join(join(zero,X_53),X2)),join(X_53,join(X2,top))) )],[refute_0_749,refute_0_750]) ).

cnf(refute_0_752,plain,
    join(join(X_53,top),X2) = join(X_53,join(top,X2)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_53)),bind(X1,$fot(top))]]) ).

cnf(refute_0_753,plain,
    ( join(X_53,join(X2,top)) != join(join(X_53,top),X2)
    | join(join(X_53,top),X2) != join(X_53,join(top,X2))
    | join(X_53,join(X2,top)) = join(X_53,join(top,X2)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_53,join(X2,top)),join(X_53,join(top,X2))) ),[0],$fot(join(join(X_53,top),X2))]]) ).

cnf(refute_0_754,plain,
    ( join(X_53,join(X2,top)) != join(join(X_53,top),X2)
    | join(X_53,join(X2,top)) = join(X_53,join(top,X2)) ),
    inference(resolve,[$cnf( $equal(join(join(X_53,top),X2),join(X_53,join(top,X2))) )],[refute_0_752,refute_0_753]) ).

cnf(refute_0_755,plain,
    ( join(top,join(join(zero,X_53),X2)) != join(join(X_53,top),X2)
    | join(X_53,join(X2,top)) = join(X_53,join(top,X2)) ),
    inference(resolve,[$cnf( $equal(join(X_53,join(X2,top)),join(join(X_53,top),X2)) )],[refute_0_751,refute_0_754]) ).

cnf(refute_0_756,plain,
    join(X_53,join(X2,top)) = join(X_53,join(top,X2)),
    inference(resolve,[$cnf( $equal(join(top,join(join(zero,X_53),X2)),join(join(X_53,top),X2)) )],[refute_0_734,refute_0_755]) ).

cnf(refute_0_757,plain,
    join(X_55,join(complement(join(zero,X_55)),top)) = join(X_55,join(top,complement(join(zero,X_55)))),
    inference(subst,[],[refute_0_756:[bind(X2,$fot(complement(join(zero,X_55)))),bind(X_53,$fot(X_55))]]) ).

cnf(refute_0_758,plain,
    join(join(X_55,complement(join(zero,X_55))),top) = join(X_55,join(complement(join(zero,X_55)),top)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_55)),bind(X1,$fot(complement(join(zero,X_55)))),bind(X2,$fot(top))]]) ).

cnf(refute_0_759,plain,
    ( join(X_55,join(complement(join(zero,X_55)),top)) != join(X_55,join(top,complement(join(zero,X_55))))
    | join(join(X_55,complement(join(zero,X_55))),top) != join(X_55,join(complement(join(zero,X_55)),top))
    | join(join(X_55,complement(join(zero,X_55))),top) = join(X_55,join(top,complement(join(zero,X_55)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X_55,complement(join(zero,X_55))),top))),bind(Y,$fot(join(X_55,join(complement(join(zero,X_55)),top)))),bind(Z,$fot(join(X_55,join(top,complement(join(zero,X_55))))))]]) ).

cnf(refute_0_760,plain,
    ( join(X_55,join(complement(join(zero,X_55)),top)) != join(X_55,join(top,complement(join(zero,X_55))))
    | join(join(X_55,complement(join(zero,X_55))),top) = join(X_55,join(top,complement(join(zero,X_55)))) ),
    inference(resolve,[$cnf( $equal(join(join(X_55,complement(join(zero,X_55))),top),join(X_55,join(complement(join(zero,X_55)),top))) )],[refute_0_758,refute_0_759]) ).

cnf(refute_0_761,plain,
    join(join(X_55,complement(join(zero,X_55))),top) = join(X_55,join(top,complement(join(zero,X_55)))),
    inference(resolve,[$cnf( $equal(join(X_55,join(complement(join(zero,X_55)),top)),join(X_55,join(top,complement(join(zero,X_55))))) )],[refute_0_757,refute_0_760]) ).

cnf(refute_0_762,plain,
    ( join(join(X_55,complement(join(zero,X_55))),top) != join(X_55,join(top,complement(join(zero,X_55))))
    | join(join(X_55,complement(join(zero,X_55))),top) != join(top,top)
    | join(X_55,join(top,complement(join(zero,X_55)))) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_55,complement(join(zero,X_55))),top),join(top,top)) ),[0],$fot(join(X_55,join(top,complement(join(zero,X_55)))))]]) ).

cnf(refute_0_763,plain,
    ( join(join(X_55,complement(join(zero,X_55))),top) != join(top,top)
    | join(X_55,join(top,complement(join(zero,X_55)))) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(join(X_55,complement(join(zero,X_55))),top),join(X_55,join(top,complement(join(zero,X_55))))) )],[refute_0_761,refute_0_762]) ).

cnf(refute_0_764,plain,
    join(X_55,join(top,complement(join(zero,X_55)))) = join(top,top),
    inference(resolve,[$cnf( $equal(join(join(X_55,complement(join(zero,X_55))),top),join(top,top)) )],[refute_0_727,refute_0_763]) ).

cnf(refute_0_765,plain,
    join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))))) = join(top,top),
    inference(subst,[],[refute_0_764:[bind(X_55,$fot(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))]]) ).

cnf(refute_0_766,plain,
    join(complement(one),join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) = join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),
    inference(subst,[],[refute_0_233:[bind(X_52,$fot(join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))]]) ).

cnf(refute_0_767,plain,
    converse(top) = join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(join(converse(X_4),converse(join(zero,complement(converse(converse(X_4)))))))))),
    inference(subst,[],[refute_0_262:[bind(X0,$fot(converse(join(zero,complement(converse(converse(X_4)))))))]]) ).

cnf(refute_0_768,plain,
    converse(top) = join(X_25,converse(join(complement(converse(X_25)),complement(join(converse(X_25),complement(converse(X_25))))))),
    inference(subst,[],[refute_0_262:[bind(X0,$fot(complement(converse(X_25)))),bind(X_4,$fot(X_25))]]) ).

cnf(refute_0_769,plain,
    top = join(converse(X_25),complement(converse(X_25))),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(converse(X_25)))]]) ).

cnf(refute_0_770,plain,
    ( top != join(converse(X_25),complement(converse(X_25)))
    | join(converse(X_25),complement(converse(X_25))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_25),complement(converse(X_25)))))]]) ).

cnf(refute_0_771,plain,
    join(converse(X_25),complement(converse(X_25))) = top,
    inference(resolve,[$cnf( $equal(top,join(converse(X_25),complement(converse(X_25)))) )],[refute_0_769,refute_0_770]) ).

cnf(refute_0_772,plain,
    ( converse(top) != join(X_25,converse(join(complement(converse(X_25)),complement(join(converse(X_25),complement(converse(X_25)))))))
    | join(converse(X_25),complement(converse(X_25))) != top
    | converse(top) = join(X_25,converse(join(complement(converse(X_25)),complement(top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_25,converse(join(complement(converse(X_25)),complement(join(converse(X_25),complement(converse(X_25)))))))) ),[1,1,0,1,0],$fot(top)]]) ).

cnf(refute_0_773,plain,
    ( converse(top) != join(X_25,converse(join(complement(converse(X_25)),complement(join(converse(X_25),complement(converse(X_25)))))))
    | converse(top) = join(X_25,converse(join(complement(converse(X_25)),complement(top)))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_25),complement(converse(X_25))),top) )],[refute_0_771,refute_0_772]) ).

cnf(refute_0_774,plain,
    converse(top) = join(X_25,converse(join(complement(converse(X_25)),complement(top)))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_25,converse(join(complement(converse(X_25)),complement(join(converse(X_25),complement(converse(X_25)))))))) )],[refute_0_768,refute_0_773]) ).

cnf(refute_0_775,plain,
    join(X_25,converse(join(complement(converse(X_25)),complement(top)))) = join(X_25,converse(join(complement(top),complement(converse(X_25))))),
    inference(subst,[],[refute_0_538:[bind(X0,$fot(X_25)),bind(X_13,$fot(complement(top))),bind(X_14,$fot(complement(converse(X_25))))]]) ).

cnf(refute_0_776,plain,
    ( converse(top) != join(X_25,converse(join(complement(converse(X_25)),complement(top))))
    | join(X_25,converse(join(complement(converse(X_25)),complement(top)))) != join(X_25,converse(join(complement(top),complement(converse(X_25)))))
    | converse(top) = join(X_25,converse(join(complement(top),complement(converse(X_25))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_25,converse(join(complement(top),complement(converse(X_25)))))) ),[0],$fot(join(X_25,converse(join(complement(converse(X_25)),complement(top)))))]]) ).

cnf(refute_0_777,plain,
    ( converse(top) != join(X_25,converse(join(complement(converse(X_25)),complement(top))))
    | converse(top) = join(X_25,converse(join(complement(top),complement(converse(X_25))))) ),
    inference(resolve,[$cnf( $equal(join(X_25,converse(join(complement(converse(X_25)),complement(top)))),join(X_25,converse(join(complement(top),complement(converse(X_25)))))) )],[refute_0_775,refute_0_776]) ).

cnf(refute_0_778,plain,
    converse(top) = join(X_25,converse(join(complement(top),complement(converse(X_25))))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_25,converse(join(complement(converse(X_25)),complement(top))))) )],[refute_0_774,refute_0_777]) ).

cnf(refute_0_779,plain,
    join(complement(top),complement(converse(X_25))) = join(complement(top),complement(converse(X_25))),
    introduced(tautology,[refl,[$fot(join(complement(top),complement(converse(X_25))))]]) ).

cnf(refute_0_780,plain,
    ( complement(top) != zero
    | join(complement(top),complement(converse(X_25))) != join(complement(top),complement(converse(X_25)))
    | join(complement(top),complement(converse(X_25))) = join(zero,complement(converse(X_25))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(converse(X_25))),join(complement(top),complement(converse(X_25)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_781,plain,
    ( complement(top) != zero
    | join(complement(top),complement(converse(X_25))) = join(zero,complement(converse(X_25))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_25))),join(complement(top),complement(converse(X_25)))) )],[refute_0_779,refute_0_780]) ).

cnf(refute_0_782,plain,
    join(complement(top),complement(converse(X_25))) = join(zero,complement(converse(X_25))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_781]) ).

cnf(refute_0_783,plain,
    converse(join(complement(top),complement(converse(X_25)))) = converse(join(complement(top),complement(converse(X_25)))),
    introduced(tautology,[refl,[$fot(converse(join(complement(top),complement(converse(X_25)))))]]) ).

cnf(refute_0_784,plain,
    ( converse(join(complement(top),complement(converse(X_25)))) != converse(join(complement(top),complement(converse(X_25))))
    | join(complement(top),complement(converse(X_25))) != join(zero,complement(converse(X_25)))
    | converse(join(complement(top),complement(converse(X_25)))) = converse(join(zero,complement(converse(X_25)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),complement(converse(X_25)))),converse(join(complement(top),complement(converse(X_25))))) ),[1,0],$fot(join(zero,complement(converse(X_25))))]]) ).

cnf(refute_0_785,plain,
    ( join(complement(top),complement(converse(X_25))) != join(zero,complement(converse(X_25)))
    | converse(join(complement(top),complement(converse(X_25)))) = converse(join(zero,complement(converse(X_25)))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_25)))),converse(join(complement(top),complement(converse(X_25))))) )],[refute_0_783,refute_0_784]) ).

cnf(refute_0_786,plain,
    converse(join(complement(top),complement(converse(X_25)))) = converse(join(zero,complement(converse(X_25)))),
    inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_25))),join(zero,complement(converse(X_25)))) )],[refute_0_782,refute_0_785]) ).

cnf(refute_0_787,plain,
    join(X_25,converse(join(complement(top),complement(converse(X_25))))) = join(X_25,converse(join(complement(top),complement(converse(X_25))))),
    introduced(tautology,[refl,[$fot(join(X_25,converse(join(complement(top),complement(converse(X_25))))))]]) ).

cnf(refute_0_788,plain,
    ( converse(join(complement(top),complement(converse(X_25)))) != converse(join(zero,complement(converse(X_25))))
    | join(X_25,converse(join(complement(top),complement(converse(X_25))))) != join(X_25,converse(join(complement(top),complement(converse(X_25)))))
    | join(X_25,converse(join(complement(top),complement(converse(X_25))))) = join(X_25,converse(join(zero,complement(converse(X_25))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_25,converse(join(complement(top),complement(converse(X_25))))),join(X_25,converse(join(complement(top),complement(converse(X_25)))))) ),[1,1],$fot(converse(join(zero,complement(converse(X_25)))))]]) ).

cnf(refute_0_789,plain,
    ( converse(join(complement(top),complement(converse(X_25)))) != converse(join(zero,complement(converse(X_25))))
    | join(X_25,converse(join(complement(top),complement(converse(X_25))))) = join(X_25,converse(join(zero,complement(converse(X_25))))) ),
    inference(resolve,[$cnf( $equal(join(X_25,converse(join(complement(top),complement(converse(X_25))))),join(X_25,converse(join(complement(top),complement(converse(X_25)))))) )],[refute_0_787,refute_0_788]) ).

cnf(refute_0_790,plain,
    join(X_25,converse(join(complement(top),complement(converse(X_25))))) = join(X_25,converse(join(zero,complement(converse(X_25))))),
    inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_25)))),converse(join(zero,complement(converse(X_25))))) )],[refute_0_786,refute_0_789]) ).

cnf(refute_0_791,plain,
    ( converse(top) != join(X_25,converse(join(complement(top),complement(converse(X_25)))))
    | join(X_25,converse(join(complement(top),complement(converse(X_25))))) != join(X_25,converse(join(zero,complement(converse(X_25)))))
    | converse(top) = join(X_25,converse(join(zero,complement(converse(X_25))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_25,converse(join(zero,complement(converse(X_25)))))) ),[0],$fot(join(X_25,converse(join(complement(top),complement(converse(X_25))))))]]) ).

cnf(refute_0_792,plain,
    ( converse(top) != join(X_25,converse(join(complement(top),complement(converse(X_25)))))
    | converse(top) = join(X_25,converse(join(zero,complement(converse(X_25))))) ),
    inference(resolve,[$cnf( $equal(join(X_25,converse(join(complement(top),complement(converse(X_25))))),join(X_25,converse(join(zero,complement(converse(X_25)))))) )],[refute_0_790,refute_0_791]) ).

cnf(refute_0_793,plain,
    converse(top) = join(X_25,converse(join(zero,complement(converse(X_25))))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_25,converse(join(complement(top),complement(converse(X_25)))))) )],[refute_0_778,refute_0_792]) ).

cnf(refute_0_794,plain,
    converse(top) = join(converse(X_4),converse(join(zero,complement(converse(converse(X_4)))))),
    inference(subst,[],[refute_0_793:[bind(X_25,$fot(converse(X_4)))]]) ).

cnf(refute_0_795,plain,
    ( converse(top) != join(converse(X_4),converse(join(zero,complement(converse(converse(X_4))))))
    | join(converse(X_4),converse(join(zero,complement(converse(converse(X_4)))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X_4),converse(join(zero,complement(converse(converse(X_4))))))))]]) ).

cnf(refute_0_796,plain,
    join(converse(X_4),converse(join(zero,complement(converse(converse(X_4)))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(converse(X_4),converse(join(zero,complement(converse(converse(X_4))))))) )],[refute_0_794,refute_0_795]) ).

cnf(refute_0_797,plain,
    ( converse(top) != join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(join(converse(X_4),converse(join(zero,complement(converse(converse(X_4))))))))))
    | join(converse(X_4),converse(join(zero,complement(converse(converse(X_4)))))) != converse(top)
    | converse(top) = join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(join(converse(X_4),converse(join(zero,complement(converse(converse(X_4))))))))))) ),[1,1,0,1,0],$fot(converse(top))]]) ).

cnf(refute_0_798,plain,
    ( converse(top) != join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(join(converse(X_4),converse(join(zero,complement(converse(converse(X_4))))))))))
    | converse(top) = join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_4),converse(join(zero,complement(converse(converse(X_4)))))),converse(top)) )],[refute_0_796,refute_0_797]) ).

cnf(refute_0_799,plain,
    converse(top) = join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(join(converse(X_4),converse(join(zero,complement(converse(converse(X_4))))))))))) )],[refute_0_767,refute_0_798]) ).

cnf(refute_0_800,plain,
    converse(converse(X_4)) = X_4,
    inference(subst,[],[refute_0_0:[bind(X0,$fot(X_4))]]) ).

cnf(refute_0_801,plain,
    complement(converse(converse(X_4))) = complement(converse(converse(X_4))),
    introduced(tautology,[refl,[$fot(complement(converse(converse(X_4))))]]) ).

cnf(refute_0_802,plain,
    ( complement(converse(converse(X_4))) != complement(converse(converse(X_4)))
    | converse(converse(X_4)) != X_4
    | complement(converse(converse(X_4))) = complement(X_4) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_4))),complement(converse(converse(X_4)))) ),[1,0],$fot(X_4)]]) ).

cnf(refute_0_803,plain,
    ( converse(converse(X_4)) != X_4
    | complement(converse(converse(X_4))) = complement(X_4) ),
    inference(resolve,[$cnf( $equal(complement(converse(converse(X_4))),complement(converse(converse(X_4)))) )],[refute_0_801,refute_0_802]) ).

cnf(refute_0_804,plain,
    complement(converse(converse(X_4))) = complement(X_4),
    inference(resolve,[$cnf( $equal(converse(converse(X_4)),X_4) )],[refute_0_800,refute_0_803]) ).

cnf(refute_0_805,plain,
    join(converse(complement(converse(top))),complement(converse(converse(X_4)))) = join(converse(complement(converse(top))),complement(converse(converse(X_4)))),
    introduced(tautology,[refl,[$fot(join(converse(complement(converse(top))),complement(converse(converse(X_4)))))]]) ).

cnf(refute_0_806,plain,
    ( complement(converse(converse(X_4))) != complement(X_4)
    | join(converse(complement(converse(top))),complement(converse(converse(X_4)))) != join(converse(complement(converse(top))),complement(converse(converse(X_4))))
    | join(converse(complement(converse(top))),complement(converse(converse(X_4)))) = join(converse(complement(converse(top))),complement(X_4)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_4)))),join(converse(complement(converse(top))),complement(converse(converse(X_4))))) ),[1,1],$fot(complement(X_4))]]) ).

cnf(refute_0_807,plain,
    ( complement(converse(converse(X_4))) != complement(X_4)
    | join(converse(complement(converse(top))),complement(converse(converse(X_4)))) = join(converse(complement(converse(top))),complement(X_4)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_4)))),join(converse(complement(converse(top))),complement(converse(converse(X_4))))) )],[refute_0_805,refute_0_806]) ).

cnf(refute_0_808,plain,
    join(converse(complement(converse(top))),complement(converse(converse(X_4)))) = join(converse(complement(converse(top))),complement(X_4)),
    inference(resolve,[$cnf( $equal(complement(converse(converse(X_4))),complement(X_4)) )],[refute_0_804,refute_0_807]) ).

cnf(refute_0_809,plain,
    join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))) = join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))),
    introduced(tautology,[refl,[$fot(join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))))]]) ).

cnf(refute_0_810,plain,
    ( join(converse(complement(converse(top))),complement(converse(converse(X_4)))) != join(converse(complement(converse(top))),complement(X_4))
    | join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))) != join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4)))))
    | join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))) = join(zero,join(converse(complement(converse(top))),complement(X_4))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))),join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4)))))) ),[1,1],$fot(join(converse(complement(converse(top))),complement(X_4)))]]) ).

cnf(refute_0_811,plain,
    ( join(converse(complement(converse(top))),complement(converse(converse(X_4)))) != join(converse(complement(converse(top))),complement(X_4))
    | join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))) = join(zero,join(converse(complement(converse(top))),complement(X_4))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))),join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4)))))) )],[refute_0_809,refute_0_810]) ).

cnf(refute_0_812,plain,
    join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))) = join(zero,join(converse(complement(converse(top))),complement(X_4))),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_4)))),join(converse(complement(converse(top))),complement(X_4))) )],[refute_0_808,refute_0_811]) ).

cnf(refute_0_813,plain,
    join(converse(complement(converse(top))),join(zero,complement(converse(converse(X_4))))) = join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(zero)),bind(X_51,$fot(converse(complement(converse(top))))),bind(X_52,$fot(complement(converse(converse(X_4)))))]]) ).

cnf(refute_0_814,plain,
    converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) = join(converse(complement(converse(top))),join(zero,complement(converse(converse(X_4))))),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(join(zero,complement(converse(converse(X_4)))))),bind(X_4,$fot(complement(converse(top))))]]) ).

cnf(refute_0_815,plain,
    ( converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) != join(converse(complement(converse(top))),join(zero,complement(converse(converse(X_4)))))
    | join(converse(complement(converse(top))),join(zero,complement(converse(converse(X_4))))) != join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4)))))
    | converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) = join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))))),bind(Y,$fot(join(converse(complement(converse(top))),join(zero,complement(converse(converse(X_4))))))),bind(Z,$fot(join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4)))))))]]) ).

cnf(refute_0_816,plain,
    ( join(converse(complement(converse(top))),join(zero,complement(converse(converse(X_4))))) != join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4)))))
    | converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) = join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))),join(converse(complement(converse(top))),join(zero,complement(converse(converse(X_4)))))) )],[refute_0_814,refute_0_815]) ).

cnf(refute_0_817,plain,
    converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) = join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),join(zero,complement(converse(converse(X_4))))),join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4)))))) )],[refute_0_813,refute_0_816]) ).

cnf(refute_0_818,plain,
    ( converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) != join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4)))))
    | join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))) != join(zero,join(converse(complement(converse(top))),complement(X_4)))
    | converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) = join(zero,join(converse(complement(converse(top))),complement(X_4))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))))),bind(Y,$fot(join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))))),bind(Z,$fot(join(zero,join(converse(complement(converse(top))),complement(X_4)))))]]) ).

cnf(refute_0_819,plain,
    ( join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))) != join(zero,join(converse(complement(converse(top))),complement(X_4)))
    | converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) = join(zero,join(converse(complement(converse(top))),complement(X_4))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))),join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4)))))) )],[refute_0_817,refute_0_818]) ).

cnf(refute_0_820,plain,
    converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) = join(zero,join(converse(complement(converse(top))),complement(X_4))),
    inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),complement(converse(converse(X_4))))),join(zero,join(converse(complement(converse(top))),complement(X_4)))) )],[refute_0_812,refute_0_819]) ).

cnf(refute_0_821,plain,
    join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))) = join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))),
    introduced(tautology,[refl,[$fot(join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))))]]) ).

cnf(refute_0_822,plain,
    ( converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) != join(zero,join(converse(complement(converse(top))),complement(X_4)))
    | join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))) != join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))))
    | join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))) = join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))),join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))))) ),[1,1],$fot(join(zero,join(converse(complement(converse(top))),complement(X_4))))]]) ).

cnf(refute_0_823,plain,
    ( converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))) != join(zero,join(converse(complement(converse(top))),complement(X_4)))
    | join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))) = join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4)))) ),
    inference(resolve,[$cnf( $equal(join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))),join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))))) )],[refute_0_821,refute_0_822]) ).

cnf(refute_0_824,plain,
    join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))) = join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4)))),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))),join(zero,join(converse(complement(converse(top))),complement(X_4)))) )],[refute_0_820,refute_0_823]) ).

cnf(refute_0_825,plain,
    join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))) = join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))),
    inference(subst,[],[refute_0_538:[bind(X0,$fot(X_4)),bind(X_13,$fot(complement(converse(top)))),bind(X_14,$fot(converse(join(zero,complement(converse(converse(X_4)))))))]]) ).

cnf(refute_0_826,plain,
    ( join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))) != join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4))))
    | join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))) != join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))))
    | join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))) = join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))))),bind(Y,$fot(join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))))),bind(Z,$fot(join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4))))))]]) ).

cnf(refute_0_827,plain,
    ( join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))) != join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4))))
    | join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))) = join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4)))) ),
    inference(resolve,[$cnf( $equal(join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))),join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4))))))))) )],[refute_0_825,refute_0_826]) ).

cnf(refute_0_828,plain,
    join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))) = join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4)))),
    inference(resolve,[$cnf( $equal(join(X_4,converse(join(complement(converse(top)),converse(join(zero,complement(converse(converse(X_4)))))))),join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4))))) )],[refute_0_824,refute_0_827]) ).

cnf(refute_0_829,plain,
    ( converse(top) != join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top)))))
    | join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))) != join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4))))
    | converse(top) = join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4))))) ),[0],$fot(join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))))]]) ).

cnf(refute_0_830,plain,
    ( converse(top) != join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top)))))
    | converse(top) = join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4)))) ),
    inference(resolve,[$cnf( $equal(join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top))))),join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4))))) )],[refute_0_828,refute_0_829]) ).

cnf(refute_0_831,plain,
    converse(top) = join(X_4,join(zero,join(converse(complement(converse(top))),complement(X_4)))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_4,converse(join(converse(join(zero,complement(converse(converse(X_4))))),complement(converse(top)))))) )],[refute_0_799,refute_0_830]) ).

cnf(refute_0_832,plain,
    converse(top) = join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),
    inference(subst,[],[refute_0_831:[bind(X_4,$fot(composition(converse(top),zero)))]]) ).

cnf(refute_0_833,plain,
    ( converse(top) != join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))
    | join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))))]]) ).

cnf(refute_0_834,plain,
    join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) )],[refute_0_832,refute_0_833]) ).

cnf(refute_0_835,plain,
    ( join(complement(one),join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) != join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))
    | join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) != converse(top)
    | join(complement(one),converse(top)) = join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) ),[0,1],$fot(converse(top))]]) ).

cnf(refute_0_836,plain,
    ( join(complement(one),join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) != join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))
    | join(complement(one),converse(top)) = join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),converse(top)) )],[refute_0_834,refute_0_835]) ).

cnf(refute_0_837,plain,
    join(complement(one),converse(top)) = join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) )],[refute_0_766,refute_0_836]) ).

cnf(refute_0_838,plain,
    join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(zero)),bind(X_51,$fot(complement(one))),bind(X_52,$fot(join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))]]) ).

cnf(refute_0_839,plain,
    ( join(complement(one),converse(top)) != join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))
    | join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) != join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))
    | join(complement(one),converse(top)) = join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),converse(top)),join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) ),[0],$fot(join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))]]) ).

cnf(refute_0_840,plain,
    ( join(complement(one),converse(top)) != join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))
    | join(complement(one),converse(top)) = join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) )],[refute_0_838,refute_0_839]) ).

cnf(refute_0_841,plain,
    join(complement(one),converse(top)) = join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(top)),join(complement(one),join(zero,join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) )],[refute_0_837,refute_0_840]) ).

cnf(refute_0_842,plain,
    ( join(complement(one),converse(top)) != join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))
    | join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(complement(one),converse(top)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(one),converse(top)))),bind(Y,$fot(join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))))]]) ).

cnf(refute_0_843,plain,
    join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(complement(one),converse(top)),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(top)),join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) )],[refute_0_841,refute_0_842]) ).

cnf(refute_0_844,plain,
    ( join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))))) != join(top,top)
    | join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) != join(complement(one),converse(top))
    | join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))))),join(top,top)) ),[0,1,1,0],$fot(join(complement(one),converse(top)))]]) ).

cnf(refute_0_845,plain,
    ( join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))))) != join(top,top)
    | join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),join(complement(one),converse(top))) )],[refute_0_843,refute_0_844]) ).

cnf(refute_0_846,plain,
    join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) = join(top,top),
    inference(resolve,[$cnf( $equal(join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(zero,join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))))),join(top,top)) )],[refute_0_765,refute_0_845]) ).

cnf(refute_0_847,plain,
    join(converse(complement(converse(top))),join(complement(join(complement(one),converse(top))),complement(composition(converse(top),zero)))) = join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(converse(complement(converse(top))))),bind(X_51,$fot(complement(join(complement(one),converse(top))))),bind(X_52,$fot(complement(composition(converse(top),zero))))]]) ).

cnf(refute_0_848,plain,
    join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))) = join(converse(complement(converse(top))),join(complement(join(complement(one),converse(top))),complement(composition(converse(top),zero)))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(converse(complement(converse(top))))),bind(X_51,$fot(complement(join(complement(one),converse(top))))),bind(X_52,$fot(complement(composition(converse(top),zero))))]]) ).

cnf(refute_0_849,plain,
    ( join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))) != join(converse(complement(converse(top))),join(complement(join(complement(one),converse(top))),complement(composition(converse(top),zero))))
    | join(converse(complement(converse(top))),join(complement(join(complement(one),converse(top))),complement(composition(converse(top),zero)))) != join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))
    | join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))) = join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),bind(Y,$fot(join(converse(complement(converse(top))),join(complement(join(complement(one),converse(top))),complement(composition(converse(top),zero)))))),bind(Z,$fot(join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))]]) ).

cnf(refute_0_850,plain,
    ( join(converse(complement(converse(top))),join(complement(join(complement(one),converse(top))),complement(composition(converse(top),zero)))) != join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))
    | join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))) = join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(converse(complement(converse(top))),join(complement(join(complement(one),converse(top))),complement(composition(converse(top),zero))))) )],[refute_0_848,refute_0_849]) ).

cnf(refute_0_851,plain,
    join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))) = join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),join(complement(join(complement(one),converse(top))),complement(composition(converse(top),zero)))),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) )],[refute_0_847,refute_0_850]) ).

cnf(refute_0_852,plain,
    join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),
    introduced(tautology,[refl,[$fot(join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))]]) ).

cnf(refute_0_853,plain,
    ( join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))) != join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))
    | join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) != join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))
    | join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) ),[1,1],$fot(join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))]]) ).

cnf(refute_0_854,plain,
    ( join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))) != join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))
    | join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) )],[refute_0_852,refute_0_853]) ).

cnf(refute_0_855,plain,
    join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) )],[refute_0_851,refute_0_854]) ).

cnf(refute_0_856,plain,
    join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(complement(one))),bind(X_51,$fot(complement(join(complement(one),converse(top))))),bind(X_52,$fot(join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))]]) ).

cnf(refute_0_857,plain,
    ( join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) != join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))
    | join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) != join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))
    | join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))),bind(Y,$fot(join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))),bind(Z,$fot(join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))))]]) ).

cnf(refute_0_858,plain,
    ( join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) != join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))
    | join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) )],[refute_0_856,refute_0_857]) ).

cnf(refute_0_859,plain,
    join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) = join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(complement(join(complement(one),converse(top))),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) )],[refute_0_855,refute_0_858]) ).

cnf(refute_0_860,plain,
    join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) = join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),
    introduced(tautology,[refl,[$fot(join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))))]]) ).

cnf(refute_0_861,plain,
    ( join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) != join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))
    | join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) != join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))
    | join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) = join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))) ),[1,1],$fot(join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))]]) ).

cnf(refute_0_862,plain,
    ( join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))) != join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))
    | join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) = join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))) )],[refute_0_860,refute_0_861]) ).

cnf(refute_0_863,plain,
    join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) = join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))),
    inference(resolve,[$cnf( $equal(join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))),join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) )],[refute_0_859,refute_0_862]) ).

cnf(refute_0_864,plain,
    join(top,join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),complement(join(complement(one),converse(top))))) = join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(top)),bind(X_51,$fot(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),bind(X_52,$fot(complement(join(complement(one),converse(top)))))]]) ).

cnf(refute_0_865,plain,
    join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) = join(top,join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),complement(join(complement(one),converse(top))))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(top)),bind(X_51,$fot(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),bind(X_52,$fot(complement(join(complement(one),converse(top)))))]]) ).

cnf(refute_0_866,plain,
    ( join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) != join(top,join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),complement(join(complement(one),converse(top)))))
    | join(top,join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),complement(join(complement(one),converse(top))))) != join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))
    | join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) = join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))))),bind(Y,$fot(join(top,join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),complement(join(complement(one),converse(top))))))),bind(Z,$fot(join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))))]]) ).

cnf(refute_0_867,plain,
    ( join(top,join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),complement(join(complement(one),converse(top))))) != join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))
    | join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) = join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) ),
    inference(resolve,[$cnf( $equal(join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))),join(top,join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),complement(join(complement(one),converse(top)))))) )],[refute_0_865,refute_0_866]) ).

cnf(refute_0_868,plain,
    join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) = join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),
    inference(resolve,[$cnf( $equal(join(top,join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),complement(join(complement(one),converse(top))))),join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))) )],[refute_0_864,refute_0_867]) ).

cnf(refute_0_869,plain,
    ( join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) != join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))
    | join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) != join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))
    | join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) = join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))))),bind(Y,$fot(join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))))),bind(Z,$fot(join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))))]]) ).

cnf(refute_0_870,plain,
    ( join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))) != join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))
    | join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) = join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) ),
    inference(resolve,[$cnf( $equal(join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))),join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero))))))) )],[refute_0_868,refute_0_869]) ).

cnf(refute_0_871,plain,
    join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) = join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(complement(one),converse(top))),join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))))),join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))) )],[refute_0_863,refute_0_870]) ).

cnf(refute_0_872,plain,
    ( join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) != join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))
    | join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) != join(top,top)
    | join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))),join(top,top)) ),[0],$fot(join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))))]]) ).

cnf(refute_0_873,plain,
    ( join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))) != join(top,top)
    | join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))),join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))) )],[refute_0_871,refute_0_872]) ).

cnf(refute_0_874,plain,
    join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) = join(top,top),
    inference(resolve,[$cnf( $equal(join(join(complement(one),join(converse(complement(converse(top))),complement(composition(converse(top),zero)))),join(top,complement(join(complement(one),converse(top))))),join(top,top)) )],[refute_0_846,refute_0_873]) ).

cnf(refute_0_875,plain,
    join(X_65,join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24))))) = join(top,join(X_24,complement(join(complement(X_65),X_24)))),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(X_65)),bind(X_52,$fot(join(X_24,complement(join(complement(X_65),X_24)))))]]) ).

cnf(refute_0_876,plain,
    top = join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24)))),
    inference(subst,[],[refute_0_295:[bind(X0,$fot(complement(X_65)))]]) ).

cnf(refute_0_877,plain,
    ( top != join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24))))
    | join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24)))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24))))))]]) ).

cnf(refute_0_878,plain,
    join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24)))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24))))) )],[refute_0_876,refute_0_877]) ).

cnf(refute_0_879,plain,
    ( join(X_65,join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24))))) != join(top,join(X_24,complement(join(complement(X_65),X_24))))
    | join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24)))) != top
    | join(X_65,top) = join(top,join(X_24,complement(join(complement(X_65),X_24)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_65,join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24))))),join(top,join(X_24,complement(join(complement(X_65),X_24))))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_880,plain,
    ( join(X_65,join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24))))) != join(top,join(X_24,complement(join(complement(X_65),X_24))))
    | join(X_65,top) = join(top,join(X_24,complement(join(complement(X_65),X_24)))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24)))),top) )],[refute_0_878,refute_0_879]) ).

cnf(refute_0_881,plain,
    join(X_65,top) = join(top,join(X_24,complement(join(complement(X_65),X_24)))),
    inference(resolve,[$cnf( $equal(join(X_65,join(complement(X_65),join(X_24,complement(join(complement(X_65),X_24))))),join(top,join(X_24,complement(join(complement(X_65),X_24))))) )],[refute_0_875,refute_0_880]) ).

cnf(refute_0_882,plain,
    ( join(X_65,top) != join(top,join(X_24,complement(join(complement(X_65),X_24))))
    | join(top,join(X_24,complement(join(complement(X_65),X_24)))) = join(X_65,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_65,top))),bind(Y,$fot(join(top,join(X_24,complement(join(complement(X_65),X_24))))))]]) ).

cnf(refute_0_883,plain,
    join(top,join(X_24,complement(join(complement(X_65),X_24)))) = join(X_65,top),
    inference(resolve,[$cnf( $equal(join(X_65,top),join(top,join(X_24,complement(join(complement(X_65),X_24))))) )],[refute_0_881,refute_0_882]) ).

cnf(refute_0_884,plain,
    join(top,join(converse(top),complement(join(complement(one),converse(top))))) = join(one,top),
    inference(subst,[],[refute_0_883:[bind(X_24,$fot(converse(top))),bind(X_65,$fot(one))]]) ).

cnf(refute_0_885,plain,
    join(converse(top),join(composition(converse(top),zero),join(complement(composition(converse(top),zero)),X_52))) = join(converse(top),join(complement(composition(converse(top),zero)),X_52)),
    inference(subst,[],[refute_0_455:[bind(X_52,$fot(join(complement(composition(converse(top),zero)),X_52)))]]) ).

cnf(refute_0_886,plain,
    join(composition(converse(top),zero),join(complement(composition(converse(top),zero)),X_52)) = join(top,X_52),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(composition(converse(top),zero)))]]) ).

cnf(refute_0_887,plain,
    ( join(composition(converse(top),zero),join(complement(composition(converse(top),zero)),X_52)) != join(top,X_52)
    | join(converse(top),join(composition(converse(top),zero),join(complement(composition(converse(top),zero)),X_52))) != join(converse(top),join(complement(composition(converse(top),zero)),X_52))
    | join(converse(top),join(top,X_52)) = join(converse(top),join(complement(composition(converse(top),zero)),X_52)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),join(composition(converse(top),zero),join(complement(composition(converse(top),zero)),X_52))),join(converse(top),join(complement(composition(converse(top),zero)),X_52))) ),[0,1],$fot(join(top,X_52))]]) ).

cnf(refute_0_888,plain,
    ( join(converse(top),join(composition(converse(top),zero),join(complement(composition(converse(top),zero)),X_52))) != join(converse(top),join(complement(composition(converse(top),zero)),X_52))
    | join(converse(top),join(top,X_52)) = join(converse(top),join(complement(composition(converse(top),zero)),X_52)) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(complement(composition(converse(top),zero)),X_52)),join(top,X_52)) )],[refute_0_886,refute_0_887]) ).

cnf(refute_0_889,plain,
    join(converse(top),join(top,X_52)) = join(converse(top),join(complement(composition(converse(top),zero)),X_52)),
    inference(resolve,[$cnf( $equal(join(converse(top),join(composition(converse(top),zero),join(complement(composition(converse(top),zero)),X_52))),join(converse(top),join(complement(composition(converse(top),zero)),X_52))) )],[refute_0_885,refute_0_888]) ).

cnf(refute_0_890,plain,
    join(converse(top),join(top,X_52)) = join(top,join(converse(top),X_52)),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(top)),bind(X_51,$fot(converse(top)))]]) ).

cnf(refute_0_891,plain,
    ( join(converse(top),join(top,X_52)) != join(converse(top),join(complement(composition(converse(top),zero)),X_52))
    | join(converse(top),join(top,X_52)) != join(top,join(converse(top),X_52))
    | join(top,join(converse(top),X_52)) = join(converse(top),join(complement(composition(converse(top),zero)),X_52)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),join(top,X_52)),join(converse(top),join(complement(composition(converse(top),zero)),X_52))) ),[0],$fot(join(top,join(converse(top),X_52)))]]) ).

cnf(refute_0_892,plain,
    ( join(converse(top),join(top,X_52)) != join(converse(top),join(complement(composition(converse(top),zero)),X_52))
    | join(top,join(converse(top),X_52)) = join(converse(top),join(complement(composition(converse(top),zero)),X_52)) ),
    inference(resolve,[$cnf( $equal(join(converse(top),join(top,X_52)),join(top,join(converse(top),X_52))) )],[refute_0_890,refute_0_891]) ).

cnf(refute_0_893,plain,
    join(top,join(converse(top),X_52)) = join(converse(top),join(complement(composition(converse(top),zero)),X_52)),
    inference(resolve,[$cnf( $equal(join(converse(top),join(top,X_52)),join(converse(top),join(complement(composition(converse(top),zero)),X_52))) )],[refute_0_889,refute_0_892]) ).

cnf(refute_0_894,plain,
    ( join(top,join(converse(top),X_52)) != join(converse(top),join(complement(composition(converse(top),zero)),X_52))
    | join(converse(top),join(complement(composition(converse(top),zero)),X_52)) = join(top,join(converse(top),X_52)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(top,join(converse(top),X_52)))),bind(Y,$fot(join(converse(top),join(complement(composition(converse(top),zero)),X_52))))]]) ).

cnf(refute_0_895,plain,
    join(converse(top),join(complement(composition(converse(top),zero)),X_52)) = join(top,join(converse(top),X_52)),
    inference(resolve,[$cnf( $equal(join(top,join(converse(top),X_52)),join(converse(top),join(complement(composition(converse(top),zero)),X_52))) )],[refute_0_893,refute_0_894]) ).

cnf(refute_0_896,plain,
    join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))) = join(top,join(converse(top),complement(join(complement(one),converse(top))))),
    inference(subst,[],[refute_0_895:[bind(X_52,$fot(complement(join(complement(one),converse(top)))))]]) ).

cnf(refute_0_897,plain,
    ( join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))) != join(top,join(converse(top),complement(join(complement(one),converse(top)))))
    | join(top,join(converse(top),complement(join(complement(one),converse(top))))) != join(one,top)
    | join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))) = join(one,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))),bind(Y,$fot(join(top,join(converse(top),complement(join(complement(one),converse(top))))))),bind(Z,$fot(join(one,top)))]]) ).

cnf(refute_0_898,plain,
    ( join(top,join(converse(top),complement(join(complement(one),converse(top))))) != join(one,top)
    | join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))),join(top,join(converse(top),complement(join(complement(one),converse(top)))))) )],[refute_0_896,refute_0_897]) ).

cnf(refute_0_899,plain,
    join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))) = join(one,top),
    inference(resolve,[$cnf( $equal(join(top,join(converse(top),complement(join(complement(one),converse(top))))),join(one,top)) )],[refute_0_884,refute_0_898]) ).

cnf(refute_0_900,plain,
    join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) = join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))),
    inference(subst,[],[refute_0_228:[bind(X_50,$fot(top)),bind(X_52,$fot(join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))]]) ).

cnf(refute_0_901,plain,
    ( join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))) != join(one,top)
    | join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) != join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))
    | join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) = join(one,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))),bind(Y,$fot(join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))),bind(Z,$fot(join(one,top)))]]) ).

cnf(refute_0_902,plain,
    ( join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))) != join(one,top)
    | join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))),join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) )],[refute_0_900,refute_0_901]) ).

cnf(refute_0_903,plain,
    join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) = join(one,top),
    inference(resolve,[$cnf( $equal(join(converse(top),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))),join(one,top)) )],[refute_0_899,refute_0_902]) ).

cnf(refute_0_904,plain,
    join(top,join(complement(one),X2)) = join(join(top,complement(one)),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(top)),bind(X1,$fot(complement(one)))]]) ).

cnf(refute_0_905,plain,
    join(one,join(complement(one),composition(converse(X_27),complement(X_27)))) = join(top,composition(converse(X_27),complement(X_27))),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(one)),bind(X_52,$fot(composition(converse(X_27),complement(X_27))))]]) ).

cnf(refute_0_906,plain,
    ( join(complement(one),composition(converse(X_27),complement(X_27))) != complement(one)
    | join(one,join(complement(one),composition(converse(X_27),complement(X_27)))) != join(top,composition(converse(X_27),complement(X_27)))
    | join(one,complement(one)) = join(top,composition(converse(X_27),complement(X_27))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),composition(converse(X_27),complement(X_27)))),join(top,composition(converse(X_27),complement(X_27)))) ),[0,1],$fot(complement(one))]]) ).

cnf(refute_0_907,plain,
    ( join(one,join(complement(one),composition(converse(X_27),complement(X_27)))) != join(top,composition(converse(X_27),complement(X_27)))
    | join(one,complement(one)) = join(top,composition(converse(X_27),complement(X_27))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_27),complement(X_27))),complement(one)) )],[refute_0_150,refute_0_906]) ).

cnf(refute_0_908,plain,
    join(one,complement(one)) = join(top,composition(converse(X_27),complement(X_27))),
    inference(resolve,[$cnf( $equal(join(one,join(complement(one),composition(converse(X_27),complement(X_27)))),join(top,composition(converse(X_27),complement(X_27)))) )],[refute_0_905,refute_0_907]) ).

cnf(refute_0_909,plain,
    join(one,complement(one)) = top,
    inference(subst,[],[refute_0_91:[bind(X0,$fot(one))]]) ).

cnf(refute_0_910,plain,
    ( join(one,complement(one)) != join(top,composition(converse(X_27),complement(X_27)))
    | join(one,complement(one)) != top
    | top = join(top,composition(converse(X_27),complement(X_27))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,complement(one)),join(top,composition(converse(X_27),complement(X_27)))) ),[0],$fot(top)]]) ).

cnf(refute_0_911,plain,
    ( join(one,complement(one)) != join(top,composition(converse(X_27),complement(X_27)))
    | top = join(top,composition(converse(X_27),complement(X_27))) ),
    inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_909,refute_0_910]) ).

cnf(refute_0_912,plain,
    top = join(top,composition(converse(X_27),complement(X_27))),
    inference(resolve,[$cnf( $equal(join(one,complement(one)),join(top,composition(converse(X_27),complement(X_27)))) )],[refute_0_908,refute_0_911]) ).

cnf(refute_0_913,plain,
    top = join(top,composition(converse(one),complement(one))),
    inference(subst,[],[refute_0_912:[bind(X_27,$fot(one))]]) ).

cnf(refute_0_914,plain,
    ( converse(one) != one
    | top != join(top,composition(converse(one),complement(one)))
    | top = join(top,composition(one,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(converse(one),complement(one)))) ),[1,1,0],$fot(one)]]) ).

cnf(refute_0_915,plain,
    ( top != join(top,composition(converse(one),complement(one)))
    | top = join(top,composition(one,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_510,refute_0_914]) ).

cnf(refute_0_916,plain,
    top = join(top,composition(one,complement(one))),
    inference(resolve,[$cnf( $equal(top,join(top,composition(converse(one),complement(one)))) )],[refute_0_913,refute_0_915]) ).

cnf(refute_0_917,plain,
    composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(canonicalize,[],[normalize_0_25]) ).

cnf(refute_0_918,plain,
    composition(X_19,composition(one,X_21)) = composition(composition(X_19,one),X_21),
    inference(subst,[],[refute_0_917:[bind(X0,$fot(X_19)),bind(X1,$fot(one)),bind(X2,$fot(X_21))]]) ).

cnf(refute_0_919,plain,
    composition(X_19,one) = X_19,
    inference(subst,[],[refute_0_146:[bind(X0,$fot(X_19))]]) ).

cnf(refute_0_920,plain,
    ( composition(X_19,composition(one,X_21)) != composition(composition(X_19,one),X_21)
    | composition(X_19,one) != X_19
    | composition(X_19,composition(one,X_21)) = composition(X_19,X_21) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(X_19,composition(one,X_21)),composition(composition(X_19,one),X_21)) ),[1,0],$fot(X_19)]]) ).

cnf(refute_0_921,plain,
    ( composition(X_19,composition(one,X_21)) != composition(composition(X_19,one),X_21)
    | composition(X_19,composition(one,X_21)) = composition(X_19,X_21) ),
    inference(resolve,[$cnf( $equal(composition(X_19,one),X_19) )],[refute_0_919,refute_0_920]) ).

cnf(refute_0_922,plain,
    composition(X_19,composition(one,X_21)) = composition(X_19,X_21),
    inference(resolve,[$cnf( $equal(composition(X_19,composition(one,X_21)),composition(composition(X_19,one),X_21)) )],[refute_0_918,refute_0_921]) ).

cnf(refute_0_923,plain,
    composition(converse(one),composition(one,X_21)) = composition(converse(one),X_21),
    inference(subst,[],[refute_0_922:[bind(X_19,$fot(converse(one)))]]) ).

cnf(refute_0_924,plain,
    composition(one,X_21) = composition(converse(one),composition(one,X_21)),
    inference(subst,[],[refute_0_502:[bind(X_69,$fot(composition(one,X_21)))]]) ).

cnf(refute_0_925,plain,
    ( composition(one,X_21) != composition(converse(one),composition(one,X_21))
    | composition(converse(one),composition(one,X_21)) = composition(one,X_21) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(one,X_21))),bind(Y,$fot(composition(converse(one),composition(one,X_21))))]]) ).

cnf(refute_0_926,plain,
    composition(converse(one),composition(one,X_21)) = composition(one,X_21),
    inference(resolve,[$cnf( $equal(composition(one,X_21),composition(converse(one),composition(one,X_21))) )],[refute_0_924,refute_0_925]) ).

cnf(refute_0_927,plain,
    ( composition(converse(one),composition(one,X_21)) != composition(converse(one),X_21)
    | composition(converse(one),composition(one,X_21)) != composition(one,X_21)
    | composition(one,X_21) = composition(converse(one),X_21) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),composition(one,X_21)),composition(converse(one),X_21)) ),[0],$fot(composition(one,X_21))]]) ).

cnf(refute_0_928,plain,
    ( composition(converse(one),composition(one,X_21)) != composition(converse(one),X_21)
    | composition(one,X_21) = composition(converse(one),X_21) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_21)),composition(one,X_21)) )],[refute_0_926,refute_0_927]) ).

cnf(refute_0_929,plain,
    composition(one,X_21) = composition(converse(one),X_21),
    inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_21)),composition(converse(one),X_21)) )],[refute_0_923,refute_0_928]) ).

cnf(refute_0_930,plain,
    ( X_69 != composition(converse(one),X_69)
    | composition(converse(one),X_69) = X_69 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X_69)),bind(Y,$fot(composition(converse(one),X_69)))]]) ).

cnf(refute_0_931,plain,
    composition(converse(one),X_69) = X_69,
    inference(resolve,[$cnf( $equal(X_69,composition(converse(one),X_69)) )],[refute_0_502,refute_0_930]) ).

cnf(refute_0_932,plain,
    composition(converse(one),X_21) = X_21,
    inference(subst,[],[refute_0_931:[bind(X_69,$fot(X_21))]]) ).

cnf(refute_0_933,plain,
    ( composition(converse(one),X_21) != X_21
    | composition(one,X_21) != composition(converse(one),X_21)
    | composition(one,X_21) = X_21 ),
    introduced(tautology,[equality,[$cnf( $equal(composition(one,X_21),composition(converse(one),X_21)) ),[1],$fot(X_21)]]) ).

cnf(refute_0_934,plain,
    ( composition(one,X_21) != composition(converse(one),X_21)
    | composition(one,X_21) = X_21 ),
    inference(resolve,[$cnf( $equal(composition(converse(one),X_21),X_21) )],[refute_0_932,refute_0_933]) ).

cnf(refute_0_935,plain,
    composition(one,X_21) = X_21,
    inference(resolve,[$cnf( $equal(composition(one,X_21),composition(converse(one),X_21)) )],[refute_0_929,refute_0_934]) ).

cnf(refute_0_936,plain,
    composition(one,complement(one)) = complement(one),
    inference(subst,[],[refute_0_935:[bind(X_21,$fot(complement(one)))]]) ).

cnf(refute_0_937,plain,
    join(top,composition(one,complement(one))) = join(top,composition(one,complement(one))),
    introduced(tautology,[refl,[$fot(join(top,composition(one,complement(one))))]]) ).

cnf(refute_0_938,plain,
    ( composition(one,complement(one)) != complement(one)
    | join(top,composition(one,complement(one))) != join(top,composition(one,complement(one)))
    | join(top,composition(one,complement(one))) = join(top,complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,composition(one,complement(one))),join(top,composition(one,complement(one)))) ),[1,1],$fot(complement(one))]]) ).

cnf(refute_0_939,plain,
    ( composition(one,complement(one)) != complement(one)
    | join(top,composition(one,complement(one))) = join(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(join(top,composition(one,complement(one))),join(top,composition(one,complement(one)))) )],[refute_0_937,refute_0_938]) ).

cnf(refute_0_940,plain,
    join(top,composition(one,complement(one))) = join(top,complement(one)),
    inference(resolve,[$cnf( $equal(composition(one,complement(one)),complement(one)) )],[refute_0_936,refute_0_939]) ).

cnf(refute_0_941,plain,
    ( join(top,composition(one,complement(one))) != join(top,complement(one))
    | top != join(top,composition(one,complement(one)))
    | top = join(top,complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(one,complement(one)))) ),[1],$fot(join(top,complement(one)))]]) ).

cnf(refute_0_942,plain,
    ( top != join(top,composition(one,complement(one)))
    | top = join(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(join(top,composition(one,complement(one))),join(top,complement(one))) )],[refute_0_940,refute_0_941]) ).

cnf(refute_0_943,plain,
    top = join(top,complement(one)),
    inference(resolve,[$cnf( $equal(top,join(top,composition(one,complement(one)))) )],[refute_0_916,refute_0_942]) ).

cnf(refute_0_944,plain,
    ( top != join(top,complement(one))
    | join(top,complement(one)) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(one))))]]) ).

cnf(refute_0_945,plain,
    join(top,complement(one)) = top,
    inference(resolve,[$cnf( $equal(top,join(top,complement(one))) )],[refute_0_943,refute_0_944]) ).

cnf(refute_0_946,plain,
    ( join(top,complement(one)) != top
    | join(top,join(complement(one),X2)) != join(join(top,complement(one)),X2)
    | join(top,join(complement(one),X2)) = join(top,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(one),X2)),join(join(top,complement(one)),X2)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_947,plain,
    ( join(top,join(complement(one),X2)) != join(join(top,complement(one)),X2)
    | join(top,join(complement(one),X2)) = join(top,X2) ),
    inference(resolve,[$cnf( $equal(join(top,complement(one)),top) )],[refute_0_945,refute_0_946]) ).

cnf(refute_0_948,plain,
    join(top,join(complement(one),X2)) = join(top,X2),
    inference(resolve,[$cnf( $equal(join(top,join(complement(one),X2)),join(join(top,complement(one)),X2)) )],[refute_0_904,refute_0_947]) ).

cnf(refute_0_949,plain,
    join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) = join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))),
    inference(subst,[],[refute_0_948:[bind(X2,$fot(join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))]]) ).

cnf(refute_0_950,plain,
    ( join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) != join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))
    | join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) != join(one,top)
    | join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) = join(one,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))))),bind(Y,$fot(join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))))),bind(Z,$fot(join(one,top)))]]) ).

cnf(refute_0_951,plain,
    ( join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))) != join(one,top)
    | join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))),join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) )],[refute_0_949,refute_0_950]) ).

cnf(refute_0_952,plain,
    join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) = join(one,top),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top)))))),join(one,top)) )],[refute_0_903,refute_0_951]) ).

cnf(refute_0_953,plain,
    ( join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) != join(one,top)
    | join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) != join(top,top)
    | join(one,top) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))),join(top,top)) ),[0],$fot(join(one,top))]]) ).

cnf(refute_0_954,plain,
    ( join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))) != join(top,top)
    | join(one,top) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))),join(one,top)) )],[refute_0_952,refute_0_953]) ).

cnf(refute_0_955,plain,
    join(one,top) = join(top,top),
    inference(resolve,[$cnf( $equal(join(top,join(complement(one),join(converse(complement(converse(top))),join(complement(composition(converse(top),zero)),complement(join(complement(one),converse(top))))))),join(top,top)) )],[refute_0_874,refute_0_954]) ).

cnf(refute_0_956,plain,
    ( join(one,top) != join(top,top)
    | join(top,top) = join(one,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(top,top)))]]) ).

cnf(refute_0_957,plain,
    join(top,top) = join(one,top),
    inference(resolve,[$cnf( $equal(join(one,top),join(top,top)) )],[refute_0_955,refute_0_956]) ).

cnf(refute_0_958,plain,
    converse(join(top,top)) = converse(join(top,top)),
    introduced(tautology,[refl,[$fot(converse(join(top,top)))]]) ).

cnf(refute_0_959,plain,
    ( converse(join(top,top)) != converse(join(top,top))
    | join(top,top) != join(one,top)
    | converse(join(top,top)) = converse(join(one,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(top,top)),converse(join(top,top))) ),[1,0],$fot(join(one,top))]]) ).

cnf(refute_0_960,plain,
    ( join(top,top) != join(one,top)
    | converse(join(top,top)) = converse(join(one,top)) ),
    inference(resolve,[$cnf( $equal(converse(join(top,top)),converse(join(top,top))) )],[refute_0_958,refute_0_959]) ).

cnf(refute_0_961,plain,
    converse(join(top,top)) = converse(join(one,top)),
    inference(resolve,[$cnf( $equal(join(top,top),join(one,top)) )],[refute_0_957,refute_0_960]) ).

cnf(refute_0_962,plain,
    join(converse(join(top,top)),complement(join(top,converse(top)))) = join(converse(join(top,top)),complement(join(top,converse(top)))),
    introduced(tautology,[refl,[$fot(join(converse(join(top,top)),complement(join(top,converse(top)))))]]) ).

cnf(refute_0_963,plain,
    ( converse(join(top,top)) != converse(join(one,top))
    | join(converse(join(top,top)),complement(join(top,converse(top)))) != join(converse(join(top,top)),complement(join(top,converse(top))))
    | join(converse(join(top,top)),complement(join(top,converse(top)))) = join(converse(join(one,top)),complement(join(top,converse(top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(top,top)),complement(join(top,converse(top)))),join(converse(join(top,top)),complement(join(top,converse(top))))) ),[1,0],$fot(converse(join(one,top)))]]) ).

cnf(refute_0_964,plain,
    ( converse(join(top,top)) != converse(join(one,top))
    | join(converse(join(top,top)),complement(join(top,converse(top)))) = join(converse(join(one,top)),complement(join(top,converse(top)))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(top,top)),complement(join(top,converse(top)))),join(converse(join(top,top)),complement(join(top,converse(top))))) )],[refute_0_962,refute_0_963]) ).

cnf(refute_0_965,plain,
    join(converse(join(top,top)),complement(join(top,converse(top)))) = join(converse(join(one,top)),complement(join(top,converse(top)))),
    inference(resolve,[$cnf( $equal(converse(join(top,top)),converse(join(one,top))) )],[refute_0_961,refute_0_964]) ).

cnf(refute_0_966,plain,
    ( join(converse(join(one,top)),complement(join(top,converse(top)))) != join(one,join(converse(top),complement(join(top,converse(top)))))
    | join(converse(join(top,top)),complement(join(top,converse(top)))) != join(converse(join(one,top)),complement(join(top,converse(top))))
    | join(converse(join(top,top)),complement(join(top,converse(top)))) = join(one,join(converse(top),complement(join(top,converse(top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(top,top)),complement(join(top,converse(top)))))),bind(Y,$fot(join(converse(join(one,top)),complement(join(top,converse(top)))))),bind(Z,$fot(join(one,join(converse(top),complement(join(top,converse(top)))))))]]) ).

cnf(refute_0_967,plain,
    ( join(converse(join(one,top)),complement(join(top,converse(top)))) != join(one,join(converse(top),complement(join(top,converse(top)))))
    | join(converse(join(top,top)),complement(join(top,converse(top)))) = join(one,join(converse(top),complement(join(top,converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(top,top)),complement(join(top,converse(top)))),join(converse(join(one,top)),complement(join(top,converse(top))))) )],[refute_0_965,refute_0_966]) ).

cnf(refute_0_968,plain,
    join(converse(join(top,top)),complement(join(top,converse(top)))) = join(one,join(converse(top),complement(join(top,converse(top))))),
    inference(resolve,[$cnf( $equal(join(converse(join(one,top)),complement(join(top,converse(top)))),join(one,join(converse(top),complement(join(top,converse(top)))))) )],[refute_0_522,refute_0_967]) ).

cnf(refute_0_969,plain,
    ( converse(top) != join(converse(join(top,top)),complement(join(top,converse(top))))
    | join(converse(join(top,top)),complement(join(top,converse(top)))) != join(one,join(converse(top),complement(join(top,converse(top)))))
    | converse(top) = join(one,join(converse(top),complement(join(top,converse(top))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(one,join(converse(top),complement(join(top,converse(top)))))) ),[0],$fot(join(converse(join(top,top)),complement(join(top,converse(top)))))]]) ).

cnf(refute_0_970,plain,
    ( converse(top) != join(converse(join(top,top)),complement(join(top,converse(top))))
    | converse(top) = join(one,join(converse(top),complement(join(top,converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(top,top)),complement(join(top,converse(top)))),join(one,join(converse(top),complement(join(top,converse(top)))))) )],[refute_0_968,refute_0_969]) ).

cnf(refute_0_971,plain,
    converse(top) = join(one,join(converse(top),complement(join(top,converse(top))))),
    inference(resolve,[$cnf( $equal(converse(top),join(converse(join(top,top)),complement(join(top,converse(top))))) )],[refute_0_490,refute_0_970]) ).

cnf(refute_0_972,plain,
    top = join(one,join(converse(X_74),complement(join(one,converse(X_74))))),
    inference(subst,[],[refute_0_295:[bind(X0,$fot(one)),bind(X_24,$fot(converse(X_74)))]]) ).

cnf(refute_0_973,plain,
    ( join(one,converse(X_74)) != converse(join(one,X_74))
    | top != join(one,join(converse(X_74),complement(join(one,converse(X_74)))))
    | top = join(one,join(converse(X_74),complement(converse(join(one,X_74))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(converse(X_74),complement(join(one,converse(X_74)))))) ),[1,1,1,0],$fot(converse(join(one,X_74)))]]) ).

cnf(refute_0_974,plain,
    ( top != join(one,join(converse(X_74),complement(join(one,converse(X_74)))))
    | top = join(one,join(converse(X_74),complement(converse(join(one,X_74))))) ),
    inference(resolve,[$cnf( $equal(join(one,converse(X_74)),converse(join(one,X_74))) )],[refute_0_516,refute_0_973]) ).

cnf(refute_0_975,plain,
    top = join(one,join(converse(X_74),complement(converse(join(one,X_74))))),
    inference(resolve,[$cnf( $equal(top,join(one,join(converse(X_74),complement(join(one,converse(X_74)))))) )],[refute_0_972,refute_0_974]) ).

cnf(refute_0_976,plain,
    ( top != join(one,join(converse(X_74),complement(converse(join(one,X_74)))))
    | join(one,join(converse(X_74),complement(converse(join(one,X_74))))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(converse(X_74),complement(converse(join(one,X_74)))))))]]) ).

cnf(refute_0_977,plain,
    join(one,join(converse(X_74),complement(converse(join(one,X_74))))) = top,
    inference(resolve,[$cnf( $equal(top,join(one,join(converse(X_74),complement(converse(join(one,X_74)))))) )],[refute_0_975,refute_0_976]) ).

cnf(refute_0_978,plain,
    join(one,join(converse(top),complement(converse(join(one,top))))) = top,
    inference(subst,[],[refute_0_977:[bind(X_74,$fot(top))]]) ).

cnf(refute_0_979,plain,
    join(top,join(composition(converse(zero),top),X_52)) = join(join(top,composition(converse(zero),top)),X_52),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(top)),bind(X1,$fot(composition(converse(zero),top))),bind(X2,$fot(X_52))]]) ).

cnf(refute_0_980,plain,
    converse(join(composition(converse(top),zero),converse(top))) = converse(join(converse(top),composition(converse(top),zero))),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(composition(converse(top),zero))),bind(X1,$fot(converse(top)))]]) ).

cnf(refute_0_981,plain,
    ( converse(join(composition(converse(top),zero),converse(top))) != converse(join(converse(top),composition(converse(top),zero)))
    | join(converse(top),composition(converse(top),zero)) != converse(top)
    | converse(join(composition(converse(top),zero),converse(top))) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(converse(top),zero),converse(top))),converse(join(converse(top),composition(converse(top),zero)))) ),[1,0],$fot(converse(top))]]) ).

cnf(refute_0_982,plain,
    ( converse(join(composition(converse(top),zero),converse(top))) != converse(join(converse(top),composition(converse(top),zero)))
    | converse(join(composition(converse(top),zero),converse(top))) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(join(converse(top),composition(converse(top),zero)),converse(top)) )],[refute_0_452,refute_0_981]) ).

cnf(refute_0_983,plain,
    converse(join(composition(converse(top),zero),converse(top))) = converse(converse(top)),
    inference(resolve,[$cnf( $equal(converse(join(composition(converse(top),zero),converse(top))),converse(join(converse(top),composition(converse(top),zero)))) )],[refute_0_980,refute_0_982]) ).

cnf(refute_0_984,plain,
    join(top,converse(composition(converse(top),zero))) = join(top,converse(composition(converse(top),zero))),
    introduced(tautology,[refl,[$fot(join(top,converse(composition(converse(top),zero))))]]) ).

cnf(refute_0_985,plain,
    ( converse(composition(converse(top),zero)) != composition(converse(zero),top)
    | join(top,converse(composition(converse(top),zero))) != join(top,converse(composition(converse(top),zero)))
    | join(top,converse(composition(converse(top),zero))) = join(top,composition(converse(zero),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,converse(composition(converse(top),zero))),join(top,converse(composition(converse(top),zero)))) ),[1,1],$fot(composition(converse(zero),top))]]) ).

cnf(refute_0_986,plain,
    ( converse(composition(converse(top),zero)) != composition(converse(zero),top)
    | join(top,converse(composition(converse(top),zero))) = join(top,composition(converse(zero),top)) ),
    inference(resolve,[$cnf( $equal(join(top,converse(composition(converse(top),zero))),join(top,converse(composition(converse(top),zero)))) )],[refute_0_984,refute_0_985]) ).

cnf(refute_0_987,plain,
    join(top,converse(composition(converse(top),zero))) = join(top,composition(converse(zero),top)),
    inference(resolve,[$cnf( $equal(converse(composition(converse(top),zero)),composition(converse(zero),top)) )],[refute_0_309,refute_0_986]) ).

cnf(refute_0_988,plain,
    converse(join(converse(top),composition(converse(top),zero))) = join(top,converse(composition(converse(top),zero))),
    inference(subst,[],[refute_0_115:[bind(X0,$fot(top)),bind(X_5,$fot(composition(converse(top),zero)))]]) ).

cnf(refute_0_989,plain,
    ( converse(join(composition(converse(top),zero),converse(top))) != converse(join(converse(top),composition(converse(top),zero)))
    | converse(join(converse(top),composition(converse(top),zero))) != join(top,converse(composition(converse(top),zero)))
    | converse(join(composition(converse(top),zero),converse(top))) = join(top,converse(composition(converse(top),zero))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(composition(converse(top),zero),converse(top))))),bind(Y,$fot(converse(join(converse(top),composition(converse(top),zero))))),bind(Z,$fot(join(top,converse(composition(converse(top),zero)))))]]) ).

cnf(refute_0_990,plain,
    ( converse(join(converse(top),composition(converse(top),zero))) != join(top,converse(composition(converse(top),zero)))
    | converse(join(composition(converse(top),zero),converse(top))) = join(top,converse(composition(converse(top),zero))) ),
    inference(resolve,[$cnf( $equal(converse(join(composition(converse(top),zero),converse(top))),converse(join(converse(top),composition(converse(top),zero)))) )],[refute_0_980,refute_0_989]) ).

cnf(refute_0_991,plain,
    converse(join(composition(converse(top),zero),converse(top))) = join(top,converse(composition(converse(top),zero))),
    inference(resolve,[$cnf( $equal(converse(join(converse(top),composition(converse(top),zero))),join(top,converse(composition(converse(top),zero)))) )],[refute_0_988,refute_0_990]) ).

cnf(refute_0_992,plain,
    ( converse(join(composition(converse(top),zero),converse(top))) != join(top,converse(composition(converse(top),zero)))
    | join(top,converse(composition(converse(top),zero))) != join(top,composition(converse(zero),top))
    | converse(join(composition(converse(top),zero),converse(top))) = join(top,composition(converse(zero),top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(composition(converse(top),zero),converse(top))))),bind(Y,$fot(join(top,converse(composition(converse(top),zero))))),bind(Z,$fot(join(top,composition(converse(zero),top))))]]) ).

cnf(refute_0_993,plain,
    ( join(top,converse(composition(converse(top),zero))) != join(top,composition(converse(zero),top))
    | converse(join(composition(converse(top),zero),converse(top))) = join(top,composition(converse(zero),top)) ),
    inference(resolve,[$cnf( $equal(converse(join(composition(converse(top),zero),converse(top))),join(top,converse(composition(converse(top),zero)))) )],[refute_0_991,refute_0_992]) ).

cnf(refute_0_994,plain,
    converse(join(composition(converse(top),zero),converse(top))) = join(top,composition(converse(zero),top)),
    inference(resolve,[$cnf( $equal(join(top,converse(composition(converse(top),zero))),join(top,composition(converse(zero),top))) )],[refute_0_987,refute_0_993]) ).

cnf(refute_0_995,plain,
    ( converse(join(composition(converse(top),zero),converse(top))) != converse(converse(top))
    | converse(join(composition(converse(top),zero),converse(top))) != join(top,composition(converse(zero),top))
    | join(top,composition(converse(zero),top)) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(converse(top),zero),converse(top))),converse(converse(top))) ),[0],$fot(join(top,composition(converse(zero),top)))]]) ).

cnf(refute_0_996,plain,
    ( converse(join(composition(converse(top),zero),converse(top))) != converse(converse(top))
    | join(top,composition(converse(zero),top)) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(converse(join(composition(converse(top),zero),converse(top))),join(top,composition(converse(zero),top))) )],[refute_0_994,refute_0_995]) ).

cnf(refute_0_997,plain,
    ( converse(converse(top)) != top
    | join(top,composition(converse(zero),top)) != converse(converse(top))
    | join(top,composition(converse(zero),top)) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,composition(converse(zero),top)),converse(converse(top))) ),[1],$fot(top)]]) ).

cnf(refute_0_998,plain,
    ( join(top,composition(converse(zero),top)) != converse(converse(top))
    | join(top,composition(converse(zero),top)) = top ),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_269,refute_0_997]) ).

cnf(refute_0_999,plain,
    ( converse(join(composition(converse(top),zero),converse(top))) != converse(converse(top))
    | join(top,composition(converse(zero),top)) = top ),
    inference(resolve,[$cnf( $equal(join(top,composition(converse(zero),top)),converse(converse(top))) )],[refute_0_996,refute_0_998]) ).

cnf(refute_0_1000,plain,
    join(top,composition(converse(zero),top)) = top,
    inference(resolve,[$cnf( $equal(converse(join(composition(converse(top),zero),converse(top))),converse(converse(top))) )],[refute_0_983,refute_0_999]) ).

cnf(refute_0_1001,plain,
    ( join(top,composition(converse(zero),top)) != top
    | join(top,join(composition(converse(zero),top),X_52)) != join(join(top,composition(converse(zero),top)),X_52)
    | join(top,join(composition(converse(zero),top),X_52)) = join(top,X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(composition(converse(zero),top),X_52)),join(join(top,composition(converse(zero),top)),X_52)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1002,plain,
    ( join(top,join(composition(converse(zero),top),X_52)) != join(join(top,composition(converse(zero),top)),X_52)
    | join(top,join(composition(converse(zero),top),X_52)) = join(top,X_52) ),
    inference(resolve,[$cnf( $equal(join(top,composition(converse(zero),top)),top) )],[refute_0_1000,refute_0_1001]) ).

cnf(refute_0_1003,plain,
    join(top,join(composition(converse(zero),top),X_52)) = join(top,X_52),
    inference(resolve,[$cnf( $equal(join(top,join(composition(converse(zero),top),X_52)),join(join(top,composition(converse(zero),top)),X_52)) )],[refute_0_979,refute_0_1002]) ).

cnf(refute_0_1004,plain,
    join(top,join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))) = join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))),
    inference(subst,[],[refute_0_1003:[bind(X_52,$fot(join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_1005,plain,
    converse(top) = join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))),
    inference(subst,[],[refute_0_831:[bind(X_4,$fot(composition(converse(zero),top)))]]) ).

cnf(refute_0_1006,plain,
    ( converse(top) != join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))
    | join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))))]]) ).

cnf(refute_0_1007,plain,
    join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))) )],[refute_0_1005,refute_0_1006]) ).

cnf(refute_0_1008,plain,
    ( join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) != converse(top)
    | join(top,join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))) != join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))
    | join(top,converse(top)) = join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))),join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))) ),[0,1],$fot(converse(top))]]) ).

cnf(refute_0_1009,plain,
    ( join(top,join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))) != join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))
    | join(top,converse(top)) = join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))),converse(top)) )],[refute_0_1007,refute_0_1008]) ).

cnf(refute_0_1010,plain,
    join(top,converse(top)) = join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))),
    inference(resolve,[$cnf( $equal(join(top,join(composition(converse(zero),top),join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))),join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))) )],[refute_0_1004,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    ( converse(join(one,X_5)) != join(one,converse(X_5))
    | join(one,converse(X_5)) = converse(join(one,X_5)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(one,X_5)))),bind(Y,$fot(join(one,converse(X_5))))]]) ).

cnf(refute_0_1012,plain,
    join(one,converse(X_5)) = converse(join(one,X_5)),
    inference(resolve,[$cnf( $equal(converse(join(one,X_5)),join(one,converse(X_5))) )],[refute_0_513,refute_0_1011]) ).

cnf(refute_0_1013,plain,
    join(one,converse(top)) = converse(join(one,top)),
    inference(subst,[],[refute_0_1012:[bind(X_5,$fot(top))]]) ).

cnf(refute_0_1014,plain,
    join(top,converse(complement(converse(top)))) = converse(top),
    inference(subst,[],[refute_0_433:[bind(X_8,$fot(top))]]) ).

cnf(refute_0_1015,plain,
    join(one,join(top,converse(complement(converse(top))))) = join(one,join(top,converse(complement(converse(top))))),
    introduced(tautology,[refl,[$fot(join(one,join(top,converse(complement(converse(top))))))]]) ).

cnf(refute_0_1016,plain,
    ( join(one,join(top,converse(complement(converse(top))))) != join(one,join(top,converse(complement(converse(top)))))
    | join(top,converse(complement(converse(top)))) != converse(top)
    | join(one,join(top,converse(complement(converse(top))))) = join(one,converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(top,converse(complement(converse(top))))),join(one,join(top,converse(complement(converse(top)))))) ),[1,1],$fot(converse(top))]]) ).

cnf(refute_0_1017,plain,
    ( join(top,converse(complement(converse(top)))) != converse(top)
    | join(one,join(top,converse(complement(converse(top))))) = join(one,converse(top)) ),
    inference(resolve,[$cnf( $equal(join(one,join(top,converse(complement(converse(top))))),join(one,join(top,converse(complement(converse(top)))))) )],[refute_0_1015,refute_0_1016]) ).

cnf(refute_0_1018,plain,
    join(one,join(top,converse(complement(converse(top))))) = join(one,converse(top)),
    inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_1014,refute_0_1017]) ).

cnf(refute_0_1019,plain,
    ( join(one,converse(top)) != converse(join(one,top))
    | join(one,join(top,converse(complement(converse(top))))) != join(one,converse(top))
    | join(one,join(top,converse(complement(converse(top))))) = converse(join(one,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(one,join(top,converse(complement(converse(top))))))),bind(Y,$fot(join(one,converse(top)))),bind(Z,$fot(converse(join(one,top))))]]) ).

cnf(refute_0_1020,plain,
    ( join(one,converse(top)) != converse(join(one,top))
    | join(one,join(top,converse(complement(converse(top))))) = converse(join(one,top)) ),
    inference(resolve,[$cnf( $equal(join(one,join(top,converse(complement(converse(top))))),join(one,converse(top))) )],[refute_0_1018,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    join(one,join(top,converse(complement(converse(top))))) = converse(join(one,top)),
    inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1013,refute_0_1020]) ).

cnf(refute_0_1022,plain,
    converse(join(X_4,converse(join(top,complement(composition(converse(zero),top)))))) = join(converse(X_4),join(top,complement(composition(converse(zero),top)))),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(join(top,complement(composition(converse(zero),top)))))]]) ).

cnf(refute_0_1023,plain,
    ( converse(join(X_4,converse(join(top,complement(composition(converse(zero),top)))))) != join(converse(X_4),join(top,complement(composition(converse(zero),top))))
    | converse(join(top,complement(composition(converse(zero),top)))) != converse(join(top,top))
    | converse(join(X_4,converse(join(top,top)))) = join(converse(X_4),join(top,complement(composition(converse(zero),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(join(top,complement(composition(converse(zero),top)))))),join(converse(X_4),join(top,complement(composition(converse(zero),top))))) ),[0,0,1],$fot(converse(join(top,top)))]]) ).

cnf(refute_0_1024,plain,
    ( converse(join(X_4,converse(join(top,complement(composition(converse(zero),top)))))) != join(converse(X_4),join(top,complement(composition(converse(zero),top))))
    | converse(join(X_4,converse(join(top,top)))) = join(converse(X_4),join(top,complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(composition(converse(zero),top)))),converse(join(top,top))) )],[refute_0_480,refute_0_1023]) ).

cnf(refute_0_1025,plain,
    converse(join(X_4,converse(join(top,top)))) = join(converse(X_4),join(top,complement(composition(converse(zero),top)))),
    inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(top,complement(composition(converse(zero),top)))))),join(converse(X_4),join(top,complement(composition(converse(zero),top))))) )],[refute_0_1022,refute_0_1024]) ).

cnf(refute_0_1026,plain,
    join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(join(zero,join(zero,join(meet(top,top),X_62))),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(zero)),bind(X1,$fot(join(zero,join(meet(top,top),X_62))))]]) ).

cnf(refute_0_1027,plain,
    join(X_50,join(zero,join(zero,meet(top,top)))) = join(join(X_50,zero),join(zero,meet(top,top))),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_50)),bind(X1,$fot(zero)),bind(X2,$fot(join(zero,meet(top,top))))]]) ).

cnf(refute_0_1028,plain,
    top = join(join(zero,zero),complement(join(zero,zero))),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(join(zero,zero)))]]) ).

cnf(refute_0_1029,plain,
    meet(top,X1) = complement(join(complement(top),complement(X1))),
    inference(subst,[],[refute_0_41:[bind(X0,$fot(top))]]) ).

cnf(refute_0_1030,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_1031,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_109,refute_0_1030]) ).

cnf(refute_0_1032,plain,
    meet(top,X1) = complement(join(zero,complement(X1))),
    inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_1029,refute_0_1031]) ).

cnf(refute_0_1033,plain,
    meet(top,top) = complement(join(zero,complement(top))),
    inference(subst,[],[refute_0_1032:[bind(X1,$fot(top))]]) ).

cnf(refute_0_1034,plain,
    ( complement(top) != zero
    | meet(top,top) != complement(join(zero,complement(top)))
    | meet(top,top) = complement(join(zero,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) ),[1,0,1],$fot(zero)]]) ).

cnf(refute_0_1035,plain,
    ( meet(top,top) != complement(join(zero,complement(top)))
    | meet(top,top) = complement(join(zero,zero)) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_1034]) ).

cnf(refute_0_1036,plain,
    meet(top,top) = complement(join(zero,zero)),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_1033,refute_0_1035]) ).

cnf(refute_0_1037,plain,
    ( meet(top,top) != complement(join(zero,zero))
    | complement(join(zero,zero)) = meet(top,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).

cnf(refute_0_1038,plain,
    complement(join(zero,zero)) = meet(top,top),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_1036,refute_0_1037]) ).

cnf(refute_0_1039,plain,
    ( complement(join(zero,zero)) != meet(top,top)
    | top != join(join(zero,zero),complement(join(zero,zero)))
    | top = join(join(zero,zero),meet(top,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,zero),complement(join(zero,zero)))) ),[1,1],$fot(meet(top,top))]]) ).

cnf(refute_0_1040,plain,
    ( top != join(join(zero,zero),complement(join(zero,zero)))
    | top = join(join(zero,zero),meet(top,top)) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_1038,refute_0_1039]) ).

cnf(refute_0_1041,plain,
    top = join(join(zero,zero),meet(top,top)),
    inference(resolve,[$cnf( $equal(top,join(join(zero,zero),complement(join(zero,zero)))) )],[refute_0_1028,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    join(join(zero,zero),meet(top,top)) = join(zero,join(zero,meet(top,top))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(zero)),bind(X1,$fot(zero)),bind(X2,$fot(meet(top,top)))]]) ).

cnf(refute_0_1043,plain,
    ( join(join(zero,zero),meet(top,top)) != join(zero,join(zero,meet(top,top)))
    | top != join(join(zero,zero),meet(top,top))
    | top = join(zero,join(zero,meet(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,zero),meet(top,top))) ),[1],$fot(join(zero,join(zero,meet(top,top))))]]) ).

cnf(refute_0_1044,plain,
    ( top != join(join(zero,zero),meet(top,top))
    | top = join(zero,join(zero,meet(top,top))) ),
    inference(resolve,[$cnf( $equal(join(join(zero,zero),meet(top,top)),join(zero,join(zero,meet(top,top)))) )],[refute_0_1042,refute_0_1043]) ).

cnf(refute_0_1045,plain,
    top = join(zero,join(zero,meet(top,top))),
    inference(resolve,[$cnf( $equal(top,join(join(zero,zero),meet(top,top))) )],[refute_0_1041,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    ( top != join(zero,join(zero,meet(top,top)))
    | join(zero,join(zero,meet(top,top))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(zero,meet(top,top)))))]]) ).

cnf(refute_0_1047,plain,
    join(zero,join(zero,meet(top,top))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,join(zero,meet(top,top)))) )],[refute_0_1045,refute_0_1046]) ).

cnf(refute_0_1048,plain,
    ( join(X_50,join(zero,join(zero,meet(top,top)))) != join(join(X_50,zero),join(zero,meet(top,top)))
    | join(zero,join(zero,meet(top,top))) != top
    | join(X_50,top) = join(join(X_50,zero),join(zero,meet(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(zero,join(zero,meet(top,top)))),join(join(X_50,zero),join(zero,meet(top,top)))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_1049,plain,
    ( join(X_50,join(zero,join(zero,meet(top,top)))) != join(join(X_50,zero),join(zero,meet(top,top)))
    | join(X_50,top) = join(join(X_50,zero),join(zero,meet(top,top))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(top,top))),top) )],[refute_0_1047,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    join(X_50,top) = join(join(X_50,zero),join(zero,meet(top,top))),
    inference(resolve,[$cnf( $equal(join(X_50,join(zero,join(zero,meet(top,top)))),join(join(X_50,zero),join(zero,meet(top,top)))) )],[refute_0_1027,refute_0_1049]) ).

cnf(refute_0_1051,plain,
    join(meet(top,top),join(X_50,zero)) = join(zero,join(meet(top,top),X_50)),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(zero)),bind(X_50,$fot(meet(top,top))),bind(X_51,$fot(X_50))]]) ).

cnf(refute_0_1052,plain,
    join(zero,join(meet(top,top),join(X_50,zero))) = join(zero,join(meet(top,top),join(X_50,zero))),
    introduced(tautology,[refl,[$fot(join(zero,join(meet(top,top),join(X_50,zero))))]]) ).

cnf(refute_0_1053,plain,
    ( join(meet(top,top),join(X_50,zero)) != join(zero,join(meet(top,top),X_50))
    | join(zero,join(meet(top,top),join(X_50,zero))) != join(zero,join(meet(top,top),join(X_50,zero)))
    | join(zero,join(meet(top,top),join(X_50,zero))) = join(zero,join(zero,join(meet(top,top),X_50))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,top),join(X_50,zero))),join(zero,join(meet(top,top),join(X_50,zero)))) ),[1,1],$fot(join(zero,join(meet(top,top),X_50)))]]) ).

cnf(refute_0_1054,plain,
    ( join(meet(top,top),join(X_50,zero)) != join(zero,join(meet(top,top),X_50))
    | join(zero,join(meet(top,top),join(X_50,zero))) = join(zero,join(zero,join(meet(top,top),X_50))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(X_50,zero))),join(zero,join(meet(top,top),join(X_50,zero)))) )],[refute_0_1052,refute_0_1053]) ).

cnf(refute_0_1055,plain,
    join(zero,join(meet(top,top),join(X_50,zero))) = join(zero,join(zero,join(meet(top,top),X_50))),
    inference(resolve,[$cnf( $equal(join(meet(top,top),join(X_50,zero)),join(zero,join(meet(top,top),X_50))) )],[refute_0_1051,refute_0_1054]) ).

cnf(refute_0_1056,plain,
    join(join(X_50,zero),join(zero,meet(top,top))) = join(zero,join(meet(top,top),join(X_50,zero))),
    inference(subst,[],[refute_0_191:[bind(X0,$fot(join(X_50,zero))),bind(X_50,$fot(zero)),bind(X_51,$fot(meet(top,top)))]]) ).

cnf(refute_0_1057,plain,
    ( join(join(X_50,zero),join(zero,meet(top,top))) != join(zero,join(meet(top,top),join(X_50,zero)))
    | join(zero,join(meet(top,top),join(X_50,zero))) != join(zero,join(zero,join(meet(top,top),X_50)))
    | join(join(X_50,zero),join(zero,meet(top,top))) = join(zero,join(zero,join(meet(top,top),X_50))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X_50,zero),join(zero,meet(top,top))))),bind(Y,$fot(join(zero,join(meet(top,top),join(X_50,zero))))),bind(Z,$fot(join(zero,join(zero,join(meet(top,top),X_50)))))]]) ).

cnf(refute_0_1058,plain,
    ( join(zero,join(meet(top,top),join(X_50,zero))) != join(zero,join(zero,join(meet(top,top),X_50)))
    | join(join(X_50,zero),join(zero,meet(top,top))) = join(zero,join(zero,join(meet(top,top),X_50))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,zero),join(zero,meet(top,top))),join(zero,join(meet(top,top),join(X_50,zero)))) )],[refute_0_1056,refute_0_1057]) ).

cnf(refute_0_1059,plain,
    join(join(X_50,zero),join(zero,meet(top,top))) = join(zero,join(zero,join(meet(top,top),X_50))),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(X_50,zero))),join(zero,join(zero,join(meet(top,top),X_50)))) )],[refute_0_1055,refute_0_1058]) ).

cnf(refute_0_1060,plain,
    ( join(X_50,top) != join(join(X_50,zero),join(zero,meet(top,top)))
    | join(join(X_50,zero),join(zero,meet(top,top))) != join(zero,join(zero,join(meet(top,top),X_50)))
    | join(X_50,top) = join(zero,join(zero,join(meet(top,top),X_50))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,top),join(zero,join(zero,join(meet(top,top),X_50)))) ),[0],$fot(join(join(X_50,zero),join(zero,meet(top,top))))]]) ).

cnf(refute_0_1061,plain,
    ( join(X_50,top) != join(join(X_50,zero),join(zero,meet(top,top)))
    | join(X_50,top) = join(zero,join(zero,join(meet(top,top),X_50))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,zero),join(zero,meet(top,top))),join(zero,join(zero,join(meet(top,top),X_50)))) )],[refute_0_1059,refute_0_1060]) ).

cnf(refute_0_1062,plain,
    join(X_50,top) = join(zero,join(zero,join(meet(top,top),X_50))),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(join(X_50,zero),join(zero,meet(top,top)))) )],[refute_0_1050,refute_0_1061]) ).

cnf(refute_0_1063,plain,
    join(X_62,top) = join(zero,join(zero,join(meet(top,top),X_62))),
    inference(subst,[],[refute_0_1062:[bind(X_50,$fot(X_62))]]) ).

cnf(refute_0_1064,plain,
    ( join(X_62,top) != join(zero,join(zero,join(meet(top,top),X_62)))
    | join(zero,join(zero,join(meet(top,top),X_62))) = join(X_62,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_62,top))),bind(Y,$fot(join(zero,join(zero,join(meet(top,top),X_62)))))]]) ).

cnf(refute_0_1065,plain,
    join(zero,join(zero,join(meet(top,top),X_62))) = join(X_62,top),
    inference(resolve,[$cnf( $equal(join(X_62,top),join(zero,join(zero,join(meet(top,top),X_62)))) )],[refute_0_1063,refute_0_1064]) ).

cnf(refute_0_1066,plain,
    ( join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) != join(join(zero,join(zero,join(meet(top,top),X_62))),X2)
    | join(zero,join(zero,join(meet(top,top),X_62))) != join(X_62,top)
    | join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(join(X_62,top),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_62)),X2)),join(join(zero,join(zero,join(meet(top,top),X_62))),X2)) ),[1,0],$fot(join(X_62,top))]]) ).

cnf(refute_0_1067,plain,
    ( join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) != join(join(zero,join(zero,join(meet(top,top),X_62))),X2)
    | join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(join(X_62,top),X2) ),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,join(meet(top,top),X_62))),join(X_62,top)) )],[refute_0_1065,refute_0_1066]) ).

cnf(refute_0_1068,plain,
    join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(join(X_62,top),X2),
    inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_62)),X2)),join(join(zero,join(zero,join(meet(top,top),X_62))),X2)) )],[refute_0_1026,refute_0_1067]) ).

cnf(refute_0_1069,plain,
    join(join(X_62,X2),top) = join(X_62,join(X2,top)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_62)),bind(X1,$fot(X2)),bind(X2,$fot(top))]]) ).

cnf(refute_0_1070,plain,
    ( join(X_50,top) != join(zero,join(zero,join(meet(top,top),X_50)))
    | join(zero,join(zero,join(meet(top,top),X_50))) = join(X_50,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_50,top))),bind(Y,$fot(join(zero,join(zero,join(meet(top,top),X_50)))))]]) ).

cnf(refute_0_1071,plain,
    join(zero,join(zero,join(meet(top,top),X_50))) = join(X_50,top),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(zero,join(zero,join(meet(top,top),X_50)))) )],[refute_0_1062,refute_0_1070]) ).

cnf(refute_0_1072,plain,
    join(zero,join(zero,join(meet(top,top),join(X_62,X2)))) = join(join(X_62,X2),top),
    inference(subst,[],[refute_0_1071:[bind(X_50,$fot(join(X_62,X2)))]]) ).

cnf(refute_0_1073,plain,
    ( join(join(X_62,X2),top) != join(X_62,join(X2,top))
    | join(zero,join(zero,join(meet(top,top),join(X_62,X2)))) != join(join(X_62,X2),top)
    | join(zero,join(zero,join(meet(top,top),join(X_62,X2)))) = join(X_62,join(X2,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,join(zero,join(meet(top,top),join(X_62,X2)))))),bind(Y,$fot(join(join(X_62,X2),top))),bind(Z,$fot(join(X_62,join(X2,top))))]]) ).

cnf(refute_0_1074,plain,
    ( join(join(X_62,X2),top) != join(X_62,join(X2,top))
    | join(zero,join(zero,join(meet(top,top),join(X_62,X2)))) = join(X_62,join(X2,top)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,join(meet(top,top),join(X_62,X2)))),join(join(X_62,X2),top)) )],[refute_0_1072,refute_0_1073]) ).

cnf(refute_0_1075,plain,
    join(zero,join(zero,join(meet(top,top),join(X_62,X2)))) = join(X_62,join(X2,top)),
    inference(resolve,[$cnf( $equal(join(join(X_62,X2),top),join(X_62,join(X2,top))) )],[refute_0_1069,refute_0_1074]) ).

cnf(refute_0_1076,plain,
    join(join(meet(top,top),X_62),X2) = join(meet(top,top),join(X_62,X2)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(meet(top,top))),bind(X1,$fot(X_62))]]) ).

cnf(refute_0_1077,plain,
    join(zero,join(join(meet(top,top),X_62),X2)) = join(zero,join(join(meet(top,top),X_62),X2)),
    introduced(tautology,[refl,[$fot(join(zero,join(join(meet(top,top),X_62),X2)))]]) ).

cnf(refute_0_1078,plain,
    ( join(join(meet(top,top),X_62),X2) != join(meet(top,top),join(X_62,X2))
    | join(zero,join(join(meet(top,top),X_62),X2)) != join(zero,join(join(meet(top,top),X_62),X2))
    | join(zero,join(join(meet(top,top),X_62),X2)) = join(zero,join(meet(top,top),join(X_62,X2))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(meet(top,top),X_62),X2)),join(zero,join(join(meet(top,top),X_62),X2))) ),[1,1],$fot(join(meet(top,top),join(X_62,X2)))]]) ).

cnf(refute_0_1079,plain,
    ( join(join(meet(top,top),X_62),X2) != join(meet(top,top),join(X_62,X2))
    | join(zero,join(join(meet(top,top),X_62),X2)) = join(zero,join(meet(top,top),join(X_62,X2))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(join(meet(top,top),X_62),X2)),join(zero,join(join(meet(top,top),X_62),X2))) )],[refute_0_1077,refute_0_1078]) ).

cnf(refute_0_1080,plain,
    join(zero,join(join(meet(top,top),X_62),X2)) = join(zero,join(meet(top,top),join(X_62,X2))),
    inference(resolve,[$cnf( $equal(join(join(meet(top,top),X_62),X2),join(meet(top,top),join(X_62,X2))) )],[refute_0_1076,refute_0_1079]) ).

cnf(refute_0_1081,plain,
    join(join(zero,join(meet(top,top),X_62)),X2) = join(zero,join(join(meet(top,top),X_62),X2)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(zero)),bind(X1,$fot(join(meet(top,top),X_62)))]]) ).

cnf(refute_0_1082,plain,
    ( join(join(zero,join(meet(top,top),X_62)),X2) != join(zero,join(join(meet(top,top),X_62),X2))
    | join(zero,join(join(meet(top,top),X_62),X2)) != join(zero,join(meet(top,top),join(X_62,X2)))
    | join(join(zero,join(meet(top,top),X_62)),X2) = join(zero,join(meet(top,top),join(X_62,X2))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(zero,join(meet(top,top),X_62)),X2))),bind(Y,$fot(join(zero,join(join(meet(top,top),X_62),X2)))),bind(Z,$fot(join(zero,join(meet(top,top),join(X_62,X2)))))]]) ).

cnf(refute_0_1083,plain,
    ( join(zero,join(join(meet(top,top),X_62),X2)) != join(zero,join(meet(top,top),join(X_62,X2)))
    | join(join(zero,join(meet(top,top),X_62)),X2) = join(zero,join(meet(top,top),join(X_62,X2))) ),
    inference(resolve,[$cnf( $equal(join(join(zero,join(meet(top,top),X_62)),X2),join(zero,join(join(meet(top,top),X_62),X2))) )],[refute_0_1081,refute_0_1082]) ).

cnf(refute_0_1084,plain,
    join(join(zero,join(meet(top,top),X_62)),X2) = join(zero,join(meet(top,top),join(X_62,X2))),
    inference(resolve,[$cnf( $equal(join(zero,join(join(meet(top,top),X_62),X2)),join(zero,join(meet(top,top),join(X_62,X2)))) )],[refute_0_1080,refute_0_1083]) ).

cnf(refute_0_1085,plain,
    join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(zero,join(join(zero,join(meet(top,top),X_62)),X2)),
    introduced(tautology,[refl,[$fot(join(zero,join(join(zero,join(meet(top,top),X_62)),X2)))]]) ).

cnf(refute_0_1086,plain,
    ( join(join(zero,join(meet(top,top),X_62)),X2) != join(zero,join(meet(top,top),join(X_62,X2)))
    | join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) != join(zero,join(join(zero,join(meet(top,top),X_62)),X2))
    | join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(zero,join(zero,join(meet(top,top),join(X_62,X2)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_62)),X2)),join(zero,join(join(zero,join(meet(top,top),X_62)),X2))) ),[1,1],$fot(join(zero,join(meet(top,top),join(X_62,X2))))]]) ).

cnf(refute_0_1087,plain,
    ( join(join(zero,join(meet(top,top),X_62)),X2) != join(zero,join(meet(top,top),join(X_62,X2)))
    | join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(zero,join(zero,join(meet(top,top),join(X_62,X2)))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_62)),X2)),join(zero,join(join(zero,join(meet(top,top),X_62)),X2))) )],[refute_0_1085,refute_0_1086]) ).

cnf(refute_0_1088,plain,
    join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(zero,join(zero,join(meet(top,top),join(X_62,X2)))),
    inference(resolve,[$cnf( $equal(join(join(zero,join(meet(top,top),X_62)),X2),join(zero,join(meet(top,top),join(X_62,X2)))) )],[refute_0_1084,refute_0_1087]) ).

cnf(refute_0_1089,plain,
    ( join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) != join(zero,join(zero,join(meet(top,top),join(X_62,X2))))
    | join(zero,join(zero,join(meet(top,top),join(X_62,X2)))) != join(X_62,join(X2,top))
    | join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(X_62,join(X2,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,join(join(zero,join(meet(top,top),X_62)),X2)))),bind(Y,$fot(join(zero,join(zero,join(meet(top,top),join(X_62,X2)))))),bind(Z,$fot(join(X_62,join(X2,top))))]]) ).

cnf(refute_0_1090,plain,
    ( join(zero,join(zero,join(meet(top,top),join(X_62,X2)))) != join(X_62,join(X2,top))
    | join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(X_62,join(X2,top)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_62)),X2)),join(zero,join(zero,join(meet(top,top),join(X_62,X2))))) )],[refute_0_1088,refute_0_1089]) ).

cnf(refute_0_1091,plain,
    join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) = join(X_62,join(X2,top)),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,join(meet(top,top),join(X_62,X2)))),join(X_62,join(X2,top))) )],[refute_0_1075,refute_0_1090]) ).

cnf(refute_0_1092,plain,
    ( join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) != join(X_62,join(X2,top))
    | join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) != join(join(X_62,top),X2)
    | join(X_62,join(X2,top)) = join(join(X_62,top),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_62)),X2)),join(join(X_62,top),X2)) ),[0],$fot(join(X_62,join(X2,top)))]]) ).

cnf(refute_0_1093,plain,
    ( join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) != join(join(X_62,top),X2)
    | join(X_62,join(X2,top)) = join(join(X_62,top),X2) ),
    inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_62)),X2)),join(X_62,join(X2,top))) )],[refute_0_1091,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    join(join(X_62,top),X2) = join(X_62,join(top,X2)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(X_62)),bind(X1,$fot(top))]]) ).

cnf(refute_0_1095,plain,
    ( join(X_62,join(X2,top)) != join(join(X_62,top),X2)
    | join(join(X_62,top),X2) != join(X_62,join(top,X2))
    | join(X_62,join(X2,top)) = join(X_62,join(top,X2)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_62,join(X2,top)),join(X_62,join(top,X2))) ),[0],$fot(join(join(X_62,top),X2))]]) ).

cnf(refute_0_1096,plain,
    ( join(X_62,join(X2,top)) != join(join(X_62,top),X2)
    | join(X_62,join(X2,top)) = join(X_62,join(top,X2)) ),
    inference(resolve,[$cnf( $equal(join(join(X_62,top),X2),join(X_62,join(top,X2))) )],[refute_0_1094,refute_0_1095]) ).

cnf(refute_0_1097,plain,
    ( join(zero,join(join(zero,join(meet(top,top),X_62)),X2)) != join(join(X_62,top),X2)
    | join(X_62,join(X2,top)) = join(X_62,join(top,X2)) ),
    inference(resolve,[$cnf( $equal(join(X_62,join(X2,top)),join(join(X_62,top),X2)) )],[refute_0_1093,refute_0_1096]) ).

cnf(refute_0_1098,plain,
    join(X_62,join(X2,top)) = join(X_62,join(top,X2)),
    inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_62)),X2)),join(join(X_62,top),X2)) )],[refute_0_1068,refute_0_1097]) ).

cnf(refute_0_1099,plain,
    join(top,join(converse(X_4),top)) = join(top,join(top,converse(X_4))),
    inference(subst,[],[refute_0_1098:[bind(X2,$fot(converse(X_4))),bind(X_62,$fot(top))]]) ).

cnf(refute_0_1100,plain,
    join(X0,join(top,join(top,meet(top,join(zero,zero))))) = join(join(X0,top),join(top,meet(top,join(zero,zero)))),
    inference(subst,[],[refute_0_65:[bind(X1,$fot(top)),bind(X2,$fot(join(top,meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1101,plain,
    join(join(meet(top,top),meet(top,join(zero,zero))),top) = join(top,join(zero,join(meet(top,top),meet(top,join(zero,zero))))),
    inference(subst,[],[refute_0_720:[bind(X_50,$fot(join(meet(top,top),meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1102,plain,
    top = join(join(zero,meet(top,top)),complement(join(zero,meet(top,top)))),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(join(zero,meet(top,top))))]]) ).

cnf(refute_0_1103,plain,
    meet(top,join(zero,zero)) = complement(join(zero,complement(join(zero,zero)))),
    inference(subst,[],[refute_0_1032:[bind(X1,$fot(join(zero,zero)))]]) ).

cnf(refute_0_1104,plain,
    ( complement(join(zero,zero)) != meet(top,top)
    | meet(top,join(zero,zero)) != complement(join(zero,complement(join(zero,zero))))
    | meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,complement(join(zero,zero))))) ),[1,0,1],$fot(meet(top,top))]]) ).

cnf(refute_0_1105,plain,
    ( meet(top,join(zero,zero)) != complement(join(zero,complement(join(zero,zero))))
    | meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_1038,refute_0_1104]) ).

cnf(refute_0_1106,plain,
    meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,complement(join(zero,zero))))) )],[refute_0_1103,refute_0_1105]) ).

cnf(refute_0_1107,plain,
    ( meet(top,join(zero,zero)) != complement(join(zero,meet(top,top)))
    | complement(join(zero,meet(top,top))) = meet(top,join(zero,zero)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,join(zero,zero)))),bind(Y,$fot(complement(join(zero,meet(top,top)))))]]) ).

cnf(refute_0_1108,plain,
    complement(join(zero,meet(top,top))) = meet(top,join(zero,zero)),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,meet(top,top)))) )],[refute_0_1106,refute_0_1107]) ).

cnf(refute_0_1109,plain,
    ( complement(join(zero,meet(top,top))) != meet(top,join(zero,zero))
    | top != join(join(zero,meet(top,top)),complement(join(zero,meet(top,top))))
    | top = join(join(zero,meet(top,top)),meet(top,join(zero,zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,meet(top,top)),complement(join(zero,meet(top,top))))) ),[1,1],$fot(meet(top,join(zero,zero)))]]) ).

cnf(refute_0_1110,plain,
    ( top != join(join(zero,meet(top,top)),complement(join(zero,meet(top,top))))
    | top = join(join(zero,meet(top,top)),meet(top,join(zero,zero))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,top))),meet(top,join(zero,zero))) )],[refute_0_1108,refute_0_1109]) ).

cnf(refute_0_1111,plain,
    top = join(join(zero,meet(top,top)),meet(top,join(zero,zero))),
    inference(resolve,[$cnf( $equal(top,join(join(zero,meet(top,top)),complement(join(zero,meet(top,top))))) )],[refute_0_1102,refute_0_1110]) ).

cnf(refute_0_1112,plain,
    join(join(zero,meet(top,top)),meet(top,join(zero,zero))) = join(zero,join(meet(top,top),meet(top,join(zero,zero)))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,top))),bind(X2,$fot(meet(top,join(zero,zero))))]]) ).

cnf(refute_0_1113,plain,
    ( join(join(zero,meet(top,top)),meet(top,join(zero,zero))) != join(zero,join(meet(top,top),meet(top,join(zero,zero))))
    | top != join(join(zero,meet(top,top)),meet(top,join(zero,zero)))
    | top = join(zero,join(meet(top,top),meet(top,join(zero,zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,meet(top,top)),meet(top,join(zero,zero)))) ),[1],$fot(join(zero,join(meet(top,top),meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1114,plain,
    ( top != join(join(zero,meet(top,top)),meet(top,join(zero,zero)))
    | top = join(zero,join(meet(top,top),meet(top,join(zero,zero)))) ),
    inference(resolve,[$cnf( $equal(join(join(zero,meet(top,top)),meet(top,join(zero,zero))),join(zero,join(meet(top,top),meet(top,join(zero,zero))))) )],[refute_0_1112,refute_0_1113]) ).

cnf(refute_0_1115,plain,
    top = join(zero,join(meet(top,top),meet(top,join(zero,zero)))),
    inference(resolve,[$cnf( $equal(top,join(join(zero,meet(top,top)),meet(top,join(zero,zero)))) )],[refute_0_1111,refute_0_1114]) ).

cnf(refute_0_1116,plain,
    ( top != join(zero,join(meet(top,top),meet(top,join(zero,zero))))
    | join(zero,join(meet(top,top),meet(top,join(zero,zero)))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(meet(top,top),meet(top,join(zero,zero))))))]]) ).

cnf(refute_0_1117,plain,
    join(zero,join(meet(top,top),meet(top,join(zero,zero)))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,join(meet(top,top),meet(top,join(zero,zero))))) )],[refute_0_1115,refute_0_1116]) ).

cnf(refute_0_1118,plain,
    ( join(join(meet(top,top),meet(top,join(zero,zero))),top) != join(top,join(zero,join(meet(top,top),meet(top,join(zero,zero)))))
    | join(zero,join(meet(top,top),meet(top,join(zero,zero)))) != top
    | join(join(meet(top,top),meet(top,join(zero,zero))),top) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),top),join(top,join(zero,join(meet(top,top),meet(top,join(zero,zero)))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1119,plain,
    ( join(join(meet(top,top),meet(top,join(zero,zero))),top) != join(top,join(zero,join(meet(top,top),meet(top,join(zero,zero)))))
    | join(join(meet(top,top),meet(top,join(zero,zero))),top) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),meet(top,join(zero,zero)))),top) )],[refute_0_1117,refute_0_1118]) ).

cnf(refute_0_1120,plain,
    join(join(meet(top,top),meet(top,join(zero,zero))),top) = join(top,top),
    inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),top),join(top,join(zero,join(meet(top,top),meet(top,join(zero,zero)))))) )],[refute_0_1101,refute_0_1119]) ).

cnf(refute_0_1121,plain,
    join(meet(top,top),join(top,meet(top,join(zero,zero)))) = join(top,join(meet(top,top),meet(top,join(zero,zero)))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(top)),bind(X_51,$fot(meet(top,top))),bind(X_52,$fot(meet(top,join(zero,zero))))]]) ).

cnf(refute_0_1122,plain,
    join(meet(top,top),join(meet(top,join(zero,zero)),top)) = join(meet(top,top),join(top,meet(top,join(zero,zero)))),
    inference(subst,[],[refute_0_756:[bind(X2,$fot(meet(top,join(zero,zero)))),bind(X_53,$fot(meet(top,top)))]]) ).

cnf(refute_0_1123,plain,
    ( join(meet(top,top),join(meet(top,join(zero,zero)),top)) != join(meet(top,top),join(top,meet(top,join(zero,zero))))
    | join(meet(top,top),join(top,meet(top,join(zero,zero)))) != join(top,join(meet(top,top),meet(top,join(zero,zero))))
    | join(meet(top,top),join(meet(top,join(zero,zero)),top)) = join(top,join(meet(top,top),meet(top,join(zero,zero)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(top,top),join(meet(top,join(zero,zero)),top)))),bind(Y,$fot(join(meet(top,top),join(top,meet(top,join(zero,zero)))))),bind(Z,$fot(join(top,join(meet(top,top),meet(top,join(zero,zero))))))]]) ).

cnf(refute_0_1124,plain,
    ( join(meet(top,top),join(top,meet(top,join(zero,zero)))) != join(top,join(meet(top,top),meet(top,join(zero,zero))))
    | join(meet(top,top),join(meet(top,join(zero,zero)),top)) = join(top,join(meet(top,top),meet(top,join(zero,zero)))) ),
    inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),top)),join(meet(top,top),join(top,meet(top,join(zero,zero))))) )],[refute_0_1122,refute_0_1123]) ).

cnf(refute_0_1125,plain,
    join(meet(top,top),join(meet(top,join(zero,zero)),top)) = join(top,join(meet(top,top),meet(top,join(zero,zero)))),
    inference(resolve,[$cnf( $equal(join(meet(top,top),join(top,meet(top,join(zero,zero)))),join(top,join(meet(top,top),meet(top,join(zero,zero))))) )],[refute_0_1121,refute_0_1124]) ).

cnf(refute_0_1126,plain,
    join(join(meet(top,top),meet(top,join(zero,zero))),top) = join(meet(top,top),join(meet(top,join(zero,zero)),top)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(meet(top,top))),bind(X1,$fot(meet(top,join(zero,zero)))),bind(X2,$fot(top))]]) ).

cnf(refute_0_1127,plain,
    ( join(join(meet(top,top),meet(top,join(zero,zero))),top) != join(meet(top,top),join(meet(top,join(zero,zero)),top))
    | join(meet(top,top),join(meet(top,join(zero,zero)),top)) != join(top,join(meet(top,top),meet(top,join(zero,zero))))
    | join(join(meet(top,top),meet(top,join(zero,zero))),top) = join(top,join(meet(top,top),meet(top,join(zero,zero)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(meet(top,top),meet(top,join(zero,zero))),top))),bind(Y,$fot(join(meet(top,top),join(meet(top,join(zero,zero)),top)))),bind(Z,$fot(join(top,join(meet(top,top),meet(top,join(zero,zero))))))]]) ).

cnf(refute_0_1128,plain,
    ( join(meet(top,top),join(meet(top,join(zero,zero)),top)) != join(top,join(meet(top,top),meet(top,join(zero,zero))))
    | join(join(meet(top,top),meet(top,join(zero,zero))),top) = join(top,join(meet(top,top),meet(top,join(zero,zero)))) ),
    inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),top),join(meet(top,top),join(meet(top,join(zero,zero)),top))) )],[refute_0_1126,refute_0_1127]) ).

cnf(refute_0_1129,plain,
    join(join(meet(top,top),meet(top,join(zero,zero))),top) = join(top,join(meet(top,top),meet(top,join(zero,zero)))),
    inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),top)),join(top,join(meet(top,top),meet(top,join(zero,zero))))) )],[refute_0_1125,refute_0_1128]) ).

cnf(refute_0_1130,plain,
    ( join(join(meet(top,top),meet(top,join(zero,zero))),top) != join(top,join(meet(top,top),meet(top,join(zero,zero))))
    | join(join(meet(top,top),meet(top,join(zero,zero))),top) != join(top,top)
    | join(top,join(meet(top,top),meet(top,join(zero,zero)))) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),top),join(top,top)) ),[0],$fot(join(top,join(meet(top,top),meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1131,plain,
    ( join(join(meet(top,top),meet(top,join(zero,zero))),top) != join(top,top)
    | join(top,join(meet(top,top),meet(top,join(zero,zero)))) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),top),join(top,join(meet(top,top),meet(top,join(zero,zero))))) )],[refute_0_1129,refute_0_1130]) ).

cnf(refute_0_1132,plain,
    join(top,join(meet(top,top),meet(top,join(zero,zero)))) = join(top,top),
    inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),top),join(top,top)) )],[refute_0_1120,refute_0_1131]) ).

cnf(refute_0_1133,plain,
    join(top,join(meet(top,top),X2)) = join(join(top,meet(top,top)),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(top)),bind(X1,$fot(meet(top,top)))]]) ).

cnf(refute_0_1134,plain,
    join(join(zero,meet(top,top)),top) = join(top,join(zero,join(zero,meet(top,top)))),
    inference(subst,[],[refute_0_720:[bind(X_50,$fot(join(zero,meet(top,top))))]]) ).

cnf(refute_0_1135,plain,
    ( join(join(zero,meet(top,top)),top) != join(top,join(zero,join(zero,meet(top,top))))
    | join(zero,join(zero,meet(top,top))) != top
    | join(join(zero,meet(top,top)),top) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(zero,meet(top,top)),top),join(top,join(zero,join(zero,meet(top,top))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1136,plain,
    ( join(join(zero,meet(top,top)),top) != join(top,join(zero,join(zero,meet(top,top))))
    | join(join(zero,meet(top,top)),top) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(top,top))),top) )],[refute_0_1047,refute_0_1135]) ).

cnf(refute_0_1137,plain,
    join(join(zero,meet(top,top)),top) = join(top,top),
    inference(resolve,[$cnf( $equal(join(join(zero,meet(top,top)),top),join(top,join(zero,join(zero,meet(top,top))))) )],[refute_0_1134,refute_0_1136]) ).

cnf(refute_0_1138,plain,
    join(meet(top,top),top) = join(top,meet(top,top)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(top)),bind(X1,$fot(meet(top,top)))]]) ).

cnf(refute_0_1139,plain,
    join(top,join(zero,meet(top,top))) = join(meet(top,top),top),
    inference(subst,[],[refute_0_737:[bind(X_50,$fot(meet(top,top)))]]) ).

cnf(refute_0_1140,plain,
    ( join(meet(top,top),top) != join(top,meet(top,top))
    | join(top,join(zero,meet(top,top))) != join(meet(top,top),top)
    | join(top,join(zero,meet(top,top))) = join(top,meet(top,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(zero,meet(top,top))))),bind(Y,$fot(join(meet(top,top),top))),bind(Z,$fot(join(top,meet(top,top))))]]) ).

cnf(refute_0_1141,plain,
    ( join(meet(top,top),top) != join(top,meet(top,top))
    | join(top,join(zero,meet(top,top))) = join(top,meet(top,top)) ),
    inference(resolve,[$cnf( $equal(join(top,join(zero,meet(top,top))),join(meet(top,top),top)) )],[refute_0_1139,refute_0_1140]) ).

cnf(refute_0_1142,plain,
    join(top,join(zero,meet(top,top))) = join(top,meet(top,top)),
    inference(resolve,[$cnf( $equal(join(meet(top,top),top),join(top,meet(top,top))) )],[refute_0_1138,refute_0_1141]) ).

cnf(refute_0_1143,plain,
    join(zero,join(top,meet(top,top))) = join(top,join(zero,meet(top,top))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(top)),bind(X_51,$fot(zero)),bind(X_52,$fot(meet(top,top)))]]) ).

cnf(refute_0_1144,plain,
    ( join(top,join(zero,meet(top,top))) != join(top,meet(top,top))
    | join(zero,join(top,meet(top,top))) != join(top,join(zero,meet(top,top)))
    | join(zero,join(top,meet(top,top))) = join(top,meet(top,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,join(top,meet(top,top))))),bind(Y,$fot(join(top,join(zero,meet(top,top))))),bind(Z,$fot(join(top,meet(top,top))))]]) ).

cnf(refute_0_1145,plain,
    ( join(top,join(zero,meet(top,top))) != join(top,meet(top,top))
    | join(zero,join(top,meet(top,top))) = join(top,meet(top,top)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(top,meet(top,top))),join(top,join(zero,meet(top,top)))) )],[refute_0_1143,refute_0_1144]) ).

cnf(refute_0_1146,plain,
    join(zero,join(top,meet(top,top))) = join(top,meet(top,top)),
    inference(resolve,[$cnf( $equal(join(top,join(zero,meet(top,top))),join(top,meet(top,top))) )],[refute_0_1142,refute_0_1145]) ).

cnf(refute_0_1147,plain,
    join(zero,join(meet(top,top),top)) = join(zero,join(top,meet(top,top))),
    inference(subst,[],[refute_0_756:[bind(X2,$fot(meet(top,top))),bind(X_53,$fot(zero))]]) ).

cnf(refute_0_1148,plain,
    ( join(zero,join(meet(top,top),top)) != join(zero,join(top,meet(top,top)))
    | join(zero,join(top,meet(top,top))) != join(top,meet(top,top))
    | join(zero,join(meet(top,top),top)) = join(top,meet(top,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,join(meet(top,top),top)))),bind(Y,$fot(join(zero,join(top,meet(top,top))))),bind(Z,$fot(join(top,meet(top,top))))]]) ).

cnf(refute_0_1149,plain,
    ( join(zero,join(top,meet(top,top))) != join(top,meet(top,top))
    | join(zero,join(meet(top,top),top)) = join(top,meet(top,top)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),top)),join(zero,join(top,meet(top,top)))) )],[refute_0_1147,refute_0_1148]) ).

cnf(refute_0_1150,plain,
    join(zero,join(meet(top,top),top)) = join(top,meet(top,top)),
    inference(resolve,[$cnf( $equal(join(zero,join(top,meet(top,top))),join(top,meet(top,top))) )],[refute_0_1146,refute_0_1149]) ).

cnf(refute_0_1151,plain,
    join(join(zero,meet(top,top)),top) = join(zero,join(meet(top,top),top)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,top))),bind(X2,$fot(top))]]) ).

cnf(refute_0_1152,plain,
    ( join(join(zero,meet(top,top)),top) != join(zero,join(meet(top,top),top))
    | join(zero,join(meet(top,top),top)) != join(top,meet(top,top))
    | join(join(zero,meet(top,top)),top) = join(top,meet(top,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(zero,meet(top,top)),top))),bind(Y,$fot(join(zero,join(meet(top,top),top)))),bind(Z,$fot(join(top,meet(top,top))))]]) ).

cnf(refute_0_1153,plain,
    ( join(zero,join(meet(top,top),top)) != join(top,meet(top,top))
    | join(join(zero,meet(top,top)),top) = join(top,meet(top,top)) ),
    inference(resolve,[$cnf( $equal(join(join(zero,meet(top,top)),top),join(zero,join(meet(top,top),top))) )],[refute_0_1151,refute_0_1152]) ).

cnf(refute_0_1154,plain,
    join(join(zero,meet(top,top)),top) = join(top,meet(top,top)),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),top)),join(top,meet(top,top))) )],[refute_0_1150,refute_0_1153]) ).

cnf(refute_0_1155,plain,
    ( join(join(zero,meet(top,top)),top) != join(top,meet(top,top))
    | join(join(zero,meet(top,top)),top) != join(top,top)
    | join(top,meet(top,top)) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(zero,meet(top,top)),top),join(top,top)) ),[0],$fot(join(top,meet(top,top)))]]) ).

cnf(refute_0_1156,plain,
    ( join(join(zero,meet(top,top)),top) != join(top,top)
    | join(top,meet(top,top)) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(join(zero,meet(top,top)),top),join(top,meet(top,top))) )],[refute_0_1154,refute_0_1155]) ).

cnf(refute_0_1157,plain,
    join(top,meet(top,top)) = join(top,top),
    inference(resolve,[$cnf( $equal(join(join(zero,meet(top,top)),top),join(top,top)) )],[refute_0_1137,refute_0_1156]) ).

cnf(refute_0_1158,plain,
    ( join(top,join(meet(top,top),X2)) != join(join(top,meet(top,top)),X2)
    | join(top,meet(top,top)) != join(top,top)
    | join(top,join(meet(top,top),X2)) = join(join(top,top),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(meet(top,top),X2)),join(join(top,meet(top,top)),X2)) ),[1,0],$fot(join(top,top))]]) ).

cnf(refute_0_1159,plain,
    ( join(top,join(meet(top,top),X2)) != join(join(top,meet(top,top)),X2)
    | join(top,join(meet(top,top),X2)) = join(join(top,top),X2) ),
    inference(resolve,[$cnf( $equal(join(top,meet(top,top)),join(top,top)) )],[refute_0_1157,refute_0_1158]) ).

cnf(refute_0_1160,plain,
    join(top,join(meet(top,top),X2)) = join(join(top,top),X2),
    inference(resolve,[$cnf( $equal(join(top,join(meet(top,top),X2)),join(join(top,meet(top,top)),X2)) )],[refute_0_1133,refute_0_1159]) ).

cnf(refute_0_1161,plain,
    join(join(top,top),X2) = join(top,join(top,X2)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).

cnf(refute_0_1162,plain,
    ( join(join(top,top),X2) != join(top,join(top,X2))
    | join(top,join(meet(top,top),X2)) != join(join(top,top),X2)
    | join(top,join(meet(top,top),X2)) = join(top,join(top,X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(meet(top,top),X2)),join(join(top,top),X2)) ),[1],$fot(join(top,join(top,X2)))]]) ).

cnf(refute_0_1163,plain,
    ( join(top,join(meet(top,top),X2)) != join(join(top,top),X2)
    | join(top,join(meet(top,top),X2)) = join(top,join(top,X2)) ),
    inference(resolve,[$cnf( $equal(join(join(top,top),X2),join(top,join(top,X2))) )],[refute_0_1161,refute_0_1162]) ).

cnf(refute_0_1164,plain,
    join(top,join(meet(top,top),X2)) = join(top,join(top,X2)),
    inference(resolve,[$cnf( $equal(join(top,join(meet(top,top),X2)),join(join(top,top),X2)) )],[refute_0_1160,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    join(top,join(meet(top,top),meet(top,join(zero,zero)))) = join(top,join(top,meet(top,join(zero,zero)))),
    inference(subst,[],[refute_0_1164:[bind(X2,$fot(meet(top,join(zero,zero))))]]) ).

cnf(refute_0_1166,plain,
    ( join(top,join(meet(top,top),meet(top,join(zero,zero)))) != join(top,join(top,meet(top,join(zero,zero))))
    | join(top,join(meet(top,top),meet(top,join(zero,zero)))) != join(top,top)
    | join(top,join(top,meet(top,join(zero,zero)))) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(meet(top,top),meet(top,join(zero,zero)))),join(top,top)) ),[0],$fot(join(top,join(top,meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1167,plain,
    ( join(top,join(meet(top,top),meet(top,join(zero,zero)))) != join(top,top)
    | join(top,join(top,meet(top,join(zero,zero)))) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(top,join(meet(top,top),meet(top,join(zero,zero)))),join(top,join(top,meet(top,join(zero,zero))))) )],[refute_0_1165,refute_0_1166]) ).

cnf(refute_0_1168,plain,
    join(top,join(top,meet(top,join(zero,zero)))) = join(top,top),
    inference(resolve,[$cnf( $equal(join(top,join(meet(top,top),meet(top,join(zero,zero)))),join(top,top)) )],[refute_0_1132,refute_0_1167]) ).

cnf(refute_0_1169,plain,
    ( join(X0,join(top,join(top,meet(top,join(zero,zero))))) != join(join(X0,top),join(top,meet(top,join(zero,zero))))
    | join(top,join(top,meet(top,join(zero,zero)))) != join(top,top)
    | join(X0,join(top,top)) = join(join(X0,top),join(top,meet(top,join(zero,zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(top,join(top,meet(top,join(zero,zero))))),join(join(X0,top),join(top,meet(top,join(zero,zero))))) ),[0,1],$fot(join(top,top))]]) ).

cnf(refute_0_1170,plain,
    ( join(X0,join(top,join(top,meet(top,join(zero,zero))))) != join(join(X0,top),join(top,meet(top,join(zero,zero))))
    | join(X0,join(top,top)) = join(join(X0,top),join(top,meet(top,join(zero,zero)))) ),
    inference(resolve,[$cnf( $equal(join(top,join(top,meet(top,join(zero,zero)))),join(top,top)) )],[refute_0_1168,refute_0_1169]) ).

cnf(refute_0_1171,plain,
    join(X0,join(top,top)) = join(join(X0,top),join(top,meet(top,join(zero,zero)))),
    inference(resolve,[$cnf( $equal(join(X0,join(top,join(top,meet(top,join(zero,zero))))),join(join(X0,top),join(top,meet(top,join(zero,zero))))) )],[refute_0_1100,refute_0_1170]) ).

cnf(refute_0_1172,plain,
    join(join(X0,top),meet(top,join(zero,zero))) = join(X0,join(top,meet(top,join(zero,zero)))),
    inference(subst,[],[refute_0_139:[bind(X1,$fot(top)),bind(X2,$fot(meet(top,join(zero,zero))))]]) ).

cnf(refute_0_1173,plain,
    join(top,join(join(X0,top),meet(top,join(zero,zero)))) = join(top,join(join(X0,top),meet(top,join(zero,zero)))),
    introduced(tautology,[refl,[$fot(join(top,join(join(X0,top),meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1174,plain,
    ( join(join(X0,top),meet(top,join(zero,zero))) != join(X0,join(top,meet(top,join(zero,zero))))
    | join(top,join(join(X0,top),meet(top,join(zero,zero)))) != join(top,join(join(X0,top),meet(top,join(zero,zero))))
    | join(top,join(join(X0,top),meet(top,join(zero,zero)))) = join(top,join(X0,join(top,meet(top,join(zero,zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(join(X0,top),meet(top,join(zero,zero)))),join(top,join(join(X0,top),meet(top,join(zero,zero))))) ),[1,1],$fot(join(X0,join(top,meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1175,plain,
    ( join(join(X0,top),meet(top,join(zero,zero))) != join(X0,join(top,meet(top,join(zero,zero))))
    | join(top,join(join(X0,top),meet(top,join(zero,zero)))) = join(top,join(X0,join(top,meet(top,join(zero,zero))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(join(X0,top),meet(top,join(zero,zero)))),join(top,join(join(X0,top),meet(top,join(zero,zero))))) )],[refute_0_1173,refute_0_1174]) ).

cnf(refute_0_1176,plain,
    join(top,join(join(X0,top),meet(top,join(zero,zero)))) = join(top,join(X0,join(top,meet(top,join(zero,zero))))),
    inference(resolve,[$cnf( $equal(join(join(X0,top),meet(top,join(zero,zero))),join(X0,join(top,meet(top,join(zero,zero))))) )],[refute_0_1172,refute_0_1175]) ).

cnf(refute_0_1177,plain,
    join(join(X0,top),join(top,meet(top,join(zero,zero)))) = join(top,join(join(X0,top),meet(top,join(zero,zero)))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(top)),bind(X_51,$fot(join(X0,top))),bind(X_52,$fot(meet(top,join(zero,zero))))]]) ).

cnf(refute_0_1178,plain,
    ( join(join(X0,top),join(top,meet(top,join(zero,zero)))) != join(top,join(join(X0,top),meet(top,join(zero,zero))))
    | join(top,join(join(X0,top),meet(top,join(zero,zero)))) != join(top,join(X0,join(top,meet(top,join(zero,zero)))))
    | join(join(X0,top),join(top,meet(top,join(zero,zero)))) = join(top,join(X0,join(top,meet(top,join(zero,zero))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X0,top),join(top,meet(top,join(zero,zero)))))),bind(Y,$fot(join(top,join(join(X0,top),meet(top,join(zero,zero)))))),bind(Z,$fot(join(top,join(X0,join(top,meet(top,join(zero,zero)))))))]]) ).

cnf(refute_0_1179,plain,
    ( join(top,join(join(X0,top),meet(top,join(zero,zero)))) != join(top,join(X0,join(top,meet(top,join(zero,zero)))))
    | join(join(X0,top),join(top,meet(top,join(zero,zero)))) = join(top,join(X0,join(top,meet(top,join(zero,zero))))) ),
    inference(resolve,[$cnf( $equal(join(join(X0,top),join(top,meet(top,join(zero,zero)))),join(top,join(join(X0,top),meet(top,join(zero,zero))))) )],[refute_0_1177,refute_0_1178]) ).

cnf(refute_0_1180,plain,
    join(join(X0,top),join(top,meet(top,join(zero,zero)))) = join(top,join(X0,join(top,meet(top,join(zero,zero))))),
    inference(resolve,[$cnf( $equal(join(top,join(join(X0,top),meet(top,join(zero,zero)))),join(top,join(X0,join(top,meet(top,join(zero,zero)))))) )],[refute_0_1176,refute_0_1179]) ).

cnf(refute_0_1181,plain,
    ( join(X0,join(top,top)) != join(join(X0,top),join(top,meet(top,join(zero,zero))))
    | join(join(X0,top),join(top,meet(top,join(zero,zero)))) != join(top,join(X0,join(top,meet(top,join(zero,zero)))))
    | join(X0,join(top,top)) = join(top,join(X0,join(top,meet(top,join(zero,zero))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(top,top)),join(top,join(X0,join(top,meet(top,join(zero,zero)))))) ),[0],$fot(join(join(X0,top),join(top,meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1182,plain,
    ( join(X0,join(top,top)) != join(join(X0,top),join(top,meet(top,join(zero,zero))))
    | join(X0,join(top,top)) = join(top,join(X0,join(top,meet(top,join(zero,zero))))) ),
    inference(resolve,[$cnf( $equal(join(join(X0,top),join(top,meet(top,join(zero,zero)))),join(top,join(X0,join(top,meet(top,join(zero,zero)))))) )],[refute_0_1180,refute_0_1181]) ).

cnf(refute_0_1183,plain,
    join(X0,join(top,top)) = join(top,join(X0,join(top,meet(top,join(zero,zero))))),
    inference(resolve,[$cnf( $equal(join(X0,join(top,top)),join(join(X0,top),join(top,meet(top,join(zero,zero))))) )],[refute_0_1171,refute_0_1182]) ).

cnf(refute_0_1184,plain,
    top = join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(join(zero,join(meet(top,top),meet(top,join(zero,zero))))))),
    inference(subst,[],[refute_0_295:[bind(X0,$fot(zero)),bind(X_24,$fot(join(meet(top,top),meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1185,plain,
    ( join(zero,join(meet(top,top),meet(top,join(zero,zero)))) != top
    | top != join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(join(zero,join(meet(top,top),meet(top,join(zero,zero)))))))
    | top = join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(join(zero,join(meet(top,top),meet(top,join(zero,zero)))))))) ),[1,1,1,0],$fot(top)]]) ).

cnf(refute_0_1186,plain,
    ( top != join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(join(zero,join(meet(top,top),meet(top,join(zero,zero)))))))
    | top = join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),meet(top,join(zero,zero)))),top) )],[refute_0_1117,refute_0_1185]) ).

cnf(refute_0_1187,plain,
    top = join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))),
    inference(resolve,[$cnf( $equal(top,join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(join(zero,join(meet(top,top),meet(top,join(zero,zero)))))))) )],[refute_0_1184,refute_0_1186]) ).

cnf(refute_0_1188,plain,
    join(meet(top,join(zero,zero)),top) = join(top,meet(top,join(zero,zero))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(top)),bind(X1,$fot(meet(top,join(zero,zero))))]]) ).

cnf(refute_0_1189,plain,
    join(X_50,join(complement(X_37),join(zero,meet(X_37,top)))) = join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(X_50)),bind(X1,$fot(complement(X_37))),bind(X2,$fot(join(zero,meet(X_37,top))))]]) ).

cnf(refute_0_1190,plain,
    top = join(join(complement(X_31),complement(X_32)),complement(join(complement(X_31),complement(X_32)))),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(join(complement(X_31),complement(X_32))))]]) ).

cnf(refute_0_1191,plain,
    ( complement(join(complement(X_31),complement(X_32))) != meet(X_31,X_32)
    | top != join(join(complement(X_31),complement(X_32)),complement(join(complement(X_31),complement(X_32))))
    | top = join(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_31),complement(X_32)),complement(join(complement(X_31),complement(X_32))))) ),[1,1],$fot(meet(X_31,X_32))]]) ).

cnf(refute_0_1192,plain,
    ( top != join(join(complement(X_31),complement(X_32)),complement(join(complement(X_31),complement(X_32))))
    | top = join(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_31),complement(X_32))),meet(X_31,X_32)) )],[refute_0_86,refute_0_1191]) ).

cnf(refute_0_1193,plain,
    top = join(join(complement(X_31),complement(X_32)),meet(X_31,X_32)),
    inference(resolve,[$cnf( $equal(top,join(join(complement(X_31),complement(X_32)),complement(join(complement(X_31),complement(X_32))))) )],[refute_0_1190,refute_0_1192]) ).

cnf(refute_0_1194,plain,
    join(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) = join(complement(X_31),join(complement(X_32),meet(X_31,X_32))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(complement(X_31))),bind(X1,$fot(complement(X_32))),bind(X2,$fot(meet(X_31,X_32)))]]) ).

cnf(refute_0_1195,plain,
    ( join(join(complement(X_31),complement(X_32)),meet(X_31,X_32)) != join(complement(X_31),join(complement(X_32),meet(X_31,X_32)))
    | top != join(join(complement(X_31),complement(X_32)),meet(X_31,X_32))
    | top = join(complement(X_31),join(complement(X_32),meet(X_31,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_31),complement(X_32)),meet(X_31,X_32))) ),[1],$fot(join(complement(X_31),join(complement(X_32),meet(X_31,X_32))))]]) ).

cnf(refute_0_1196,plain,
    ( top != join(join(complement(X_31),complement(X_32)),meet(X_31,X_32))
    | top = join(complement(X_31),join(complement(X_32),meet(X_31,X_32))) ),
    inference(resolve,[$cnf( $equal(join(join(complement(X_31),complement(X_32)),meet(X_31,X_32)),join(complement(X_31),join(complement(X_32),meet(X_31,X_32)))) )],[refute_0_1194,refute_0_1195]) ).

cnf(refute_0_1197,plain,
    top = join(complement(X_31),join(complement(X_32),meet(X_31,X_32))),
    inference(resolve,[$cnf( $equal(top,join(join(complement(X_31),complement(X_32)),meet(X_31,X_32))) )],[refute_0_1193,refute_0_1196]) ).

cnf(refute_0_1198,plain,
    top = join(complement(X_37),join(complement(top),meet(X_37,top))),
    inference(subst,[],[refute_0_1197:[bind(X_31,$fot(X_37)),bind(X_32,$fot(top))]]) ).

cnf(refute_0_1199,plain,
    ( complement(top) != zero
    | top != join(complement(X_37),join(complement(top),meet(X_37,top)))
    | top = join(complement(X_37),join(zero,meet(X_37,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_37),join(complement(top),meet(X_37,top)))) ),[1,1,0],$fot(zero)]]) ).

cnf(refute_0_1200,plain,
    ( top != join(complement(X_37),join(complement(top),meet(X_37,top)))
    | top = join(complement(X_37),join(zero,meet(X_37,top))) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_1199]) ).

cnf(refute_0_1201,plain,
    top = join(complement(X_37),join(zero,meet(X_37,top))),
    inference(resolve,[$cnf( $equal(top,join(complement(X_37),join(complement(top),meet(X_37,top)))) )],[refute_0_1198,refute_0_1200]) ).

cnf(refute_0_1202,plain,
    ( top != join(complement(X_37),join(zero,meet(X_37,top)))
    | join(complement(X_37),join(zero,meet(X_37,top))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_37),join(zero,meet(X_37,top)))))]]) ).

cnf(refute_0_1203,plain,
    join(complement(X_37),join(zero,meet(X_37,top))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(X_37),join(zero,meet(X_37,top)))) )],[refute_0_1201,refute_0_1202]) ).

cnf(refute_0_1204,plain,
    ( join(X_50,join(complement(X_37),join(zero,meet(X_37,top)))) != join(join(X_50,complement(X_37)),join(zero,meet(X_37,top)))
    | join(complement(X_37),join(zero,meet(X_37,top))) != top
    | join(X_50,top) = join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(complement(X_37),join(zero,meet(X_37,top)))),join(join(X_50,complement(X_37)),join(zero,meet(X_37,top)))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_1205,plain,
    ( join(X_50,join(complement(X_37),join(zero,meet(X_37,top)))) != join(join(X_50,complement(X_37)),join(zero,meet(X_37,top)))
    | join(X_50,top) = join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_37),join(zero,meet(X_37,top))),top) )],[refute_0_1203,refute_0_1204]) ).

cnf(refute_0_1206,plain,
    join(X_50,top) = join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))),
    inference(resolve,[$cnf( $equal(join(X_50,join(complement(X_37),join(zero,meet(X_37,top)))),join(join(X_50,complement(X_37)),join(zero,meet(X_37,top)))) )],[refute_0_1189,refute_0_1205]) ).

cnf(refute_0_1207,plain,
    join(meet(X_37,top),join(X_50,complement(X_37))) = join(complement(X_37),join(meet(X_37,top),X_50)),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(complement(X_37))),bind(X_50,$fot(meet(X_37,top))),bind(X_51,$fot(X_50))]]) ).

cnf(refute_0_1208,plain,
    join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))) = join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))),
    introduced(tautology,[refl,[$fot(join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))))]]) ).

cnf(refute_0_1209,plain,
    ( join(meet(X_37,top),join(X_50,complement(X_37))) != join(complement(X_37),join(meet(X_37,top),X_50))
    | join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))) != join(zero,join(meet(X_37,top),join(X_50,complement(X_37))))
    | join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))) = join(zero,join(complement(X_37),join(meet(X_37,top),X_50))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))),join(zero,join(meet(X_37,top),join(X_50,complement(X_37))))) ),[1,1],$fot(join(complement(X_37),join(meet(X_37,top),X_50)))]]) ).

cnf(refute_0_1210,plain,
    ( join(meet(X_37,top),join(X_50,complement(X_37))) != join(complement(X_37),join(meet(X_37,top),X_50))
    | join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))) = join(zero,join(complement(X_37),join(meet(X_37,top),X_50))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))),join(zero,join(meet(X_37,top),join(X_50,complement(X_37))))) )],[refute_0_1208,refute_0_1209]) ).

cnf(refute_0_1211,plain,
    join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))) = join(zero,join(complement(X_37),join(meet(X_37,top),X_50))),
    inference(resolve,[$cnf( $equal(join(meet(X_37,top),join(X_50,complement(X_37))),join(complement(X_37),join(meet(X_37,top),X_50))) )],[refute_0_1207,refute_0_1210]) ).

cnf(refute_0_1212,plain,
    join(meet(X_37,top),join(join(X_50,complement(X_37)),zero)) = join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(zero)),bind(X_50,$fot(meet(X_37,top))),bind(X_51,$fot(join(X_50,complement(X_37))))]]) ).

cnf(refute_0_1213,plain,
    join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) = join(meet(X_37,top),join(join(X_50,complement(X_37)),zero)),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(meet(X_37,top))),bind(X_50,$fot(join(X_50,complement(X_37)))),bind(X_51,$fot(zero))]]) ).

cnf(refute_0_1214,plain,
    ( join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) != join(meet(X_37,top),join(join(X_50,complement(X_37)),zero))
    | join(meet(X_37,top),join(join(X_50,complement(X_37)),zero)) != join(zero,join(meet(X_37,top),join(X_50,complement(X_37))))
    | join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) = join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))))),bind(Y,$fot(join(meet(X_37,top),join(join(X_50,complement(X_37)),zero)))),bind(Z,$fot(join(zero,join(meet(X_37,top),join(X_50,complement(X_37))))))]]) ).

cnf(refute_0_1215,plain,
    ( join(meet(X_37,top),join(join(X_50,complement(X_37)),zero)) != join(zero,join(meet(X_37,top),join(X_50,complement(X_37))))
    | join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) = join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))),join(meet(X_37,top),join(join(X_50,complement(X_37)),zero))) )],[refute_0_1213,refute_0_1214]) ).

cnf(refute_0_1216,plain,
    join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) = join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))),
    inference(resolve,[$cnf( $equal(join(meet(X_37,top),join(join(X_50,complement(X_37)),zero)),join(zero,join(meet(X_37,top),join(X_50,complement(X_37))))) )],[refute_0_1212,refute_0_1215]) ).

cnf(refute_0_1217,plain,
    ( join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) != join(zero,join(meet(X_37,top),join(X_50,complement(X_37))))
    | join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))) != join(zero,join(complement(X_37),join(meet(X_37,top),X_50)))
    | join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) = join(zero,join(complement(X_37),join(meet(X_37,top),X_50))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))))),bind(Y,$fot(join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))))),bind(Z,$fot(join(zero,join(complement(X_37),join(meet(X_37,top),X_50)))))]]) ).

cnf(refute_0_1218,plain,
    ( join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))) != join(zero,join(complement(X_37),join(meet(X_37,top),X_50)))
    | join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) = join(zero,join(complement(X_37),join(meet(X_37,top),X_50))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))),join(zero,join(meet(X_37,top),join(X_50,complement(X_37))))) )],[refute_0_1216,refute_0_1217]) ).

cnf(refute_0_1219,plain,
    join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) = join(zero,join(complement(X_37),join(meet(X_37,top),X_50))),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(X_37,top),join(X_50,complement(X_37)))),join(zero,join(complement(X_37),join(meet(X_37,top),X_50)))) )],[refute_0_1211,refute_0_1218]) ).

cnf(refute_0_1220,plain,
    ( join(X_50,top) != join(join(X_50,complement(X_37)),join(zero,meet(X_37,top)))
    | join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))) != join(zero,join(complement(X_37),join(meet(X_37,top),X_50)))
    | join(X_50,top) = join(zero,join(complement(X_37),join(meet(X_37,top),X_50))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,top),join(zero,join(complement(X_37),join(meet(X_37,top),X_50)))) ),[0],$fot(join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))))]]) ).

cnf(refute_0_1221,plain,
    ( join(X_50,top) != join(join(X_50,complement(X_37)),join(zero,meet(X_37,top)))
    | join(X_50,top) = join(zero,join(complement(X_37),join(meet(X_37,top),X_50))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,complement(X_37)),join(zero,meet(X_37,top))),join(zero,join(complement(X_37),join(meet(X_37,top),X_50)))) )],[refute_0_1219,refute_0_1220]) ).

cnf(refute_0_1222,plain,
    join(X_50,top) = join(zero,join(complement(X_37),join(meet(X_37,top),X_50))),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(join(X_50,complement(X_37)),join(zero,meet(X_37,top)))) )],[refute_0_1206,refute_0_1221]) ).

cnf(refute_0_1223,plain,
    ( join(X_50,top) != join(zero,join(complement(X_37),join(meet(X_37,top),X_50)))
    | join(zero,join(complement(X_37),join(meet(X_37,top),X_50))) = join(X_50,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_50,top))),bind(Y,$fot(join(zero,join(complement(X_37),join(meet(X_37,top),X_50)))))]]) ).

cnf(refute_0_1224,plain,
    join(zero,join(complement(X_37),join(meet(X_37,top),X_50))) = join(X_50,top),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(zero,join(complement(X_37),join(meet(X_37,top),X_50)))) )],[refute_0_1222,refute_0_1223]) ).

cnf(refute_0_1225,plain,
    join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))) = join(meet(top,join(zero,zero)),top),
    inference(subst,[],[refute_0_1224:[bind(X_37,$fot(top)),bind(X_50,$fot(meet(top,join(zero,zero))))]]) ).

cnf(refute_0_1226,plain,
    ( join(meet(top,join(zero,zero)),top) != join(top,meet(top,join(zero,zero)))
    | join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))) != join(meet(top,join(zero,zero)),top)
    | join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))) = join(top,meet(top,join(zero,zero))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))))),bind(Y,$fot(join(meet(top,join(zero,zero)),top))),bind(Z,$fot(join(top,meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1227,plain,
    ( join(meet(top,join(zero,zero)),top) != join(top,meet(top,join(zero,zero)))
    | join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))) = join(top,meet(top,join(zero,zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))),join(meet(top,join(zero,zero)),top)) )],[refute_0_1225,refute_0_1226]) ).

cnf(refute_0_1228,plain,
    join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))) = join(top,meet(top,join(zero,zero))),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),top),join(top,meet(top,join(zero,zero)))) )],[refute_0_1188,refute_0_1227]) ).

cnf(refute_0_1229,plain,
    join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))) = join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(zero)),bind(X_51,$fot(join(meet(top,top),meet(top,join(zero,zero))))),bind(X_52,$fot(complement(top)))]]) ).

cnf(refute_0_1230,plain,
    ( join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))) != join(top,meet(top,join(zero,zero)))
    | join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))) != join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero)))))
    | join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))) = join(top,meet(top,join(zero,zero))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))))),bind(Y,$fot(join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))))),bind(Z,$fot(join(top,meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1231,plain,
    ( join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))) != join(top,meet(top,join(zero,zero)))
    | join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))) = join(top,meet(top,join(zero,zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))),join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero)))))) )],[refute_0_1229,refute_0_1230]) ).

cnf(refute_0_1232,plain,
    join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))) = join(top,meet(top,join(zero,zero))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(top),join(meet(top,top),meet(top,join(zero,zero))))),join(top,meet(top,join(zero,zero)))) )],[refute_0_1228,refute_0_1231]) ).

cnf(refute_0_1233,plain,
    ( join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))) != join(top,meet(top,join(zero,zero)))
    | top != join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top)))
    | top = join(top,meet(top,join(zero,zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top)))) ),[1],$fot(join(top,meet(top,join(zero,zero))))]]) ).

cnf(refute_0_1234,plain,
    ( top != join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top)))
    | top = join(top,meet(top,join(zero,zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top))),join(top,meet(top,join(zero,zero)))) )],[refute_0_1232,refute_0_1233]) ).

cnf(refute_0_1235,plain,
    top = join(top,meet(top,join(zero,zero))),
    inference(resolve,[$cnf( $equal(top,join(zero,join(join(meet(top,top),meet(top,join(zero,zero))),complement(top)))) )],[refute_0_1187,refute_0_1234]) ).

cnf(refute_0_1236,plain,
    ( top != join(top,meet(top,join(zero,zero)))
    | join(top,meet(top,join(zero,zero))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1237,plain,
    join(top,meet(top,join(zero,zero))) = top,
    inference(resolve,[$cnf( $equal(top,join(top,meet(top,join(zero,zero)))) )],[refute_0_1235,refute_0_1236]) ).

cnf(refute_0_1238,plain,
    join(X0,join(top,meet(top,join(zero,zero)))) = join(X0,join(top,meet(top,join(zero,zero)))),
    introduced(tautology,[refl,[$fot(join(X0,join(top,meet(top,join(zero,zero)))))]]) ).

cnf(refute_0_1239,plain,
    ( join(X0,join(top,meet(top,join(zero,zero)))) != join(X0,join(top,meet(top,join(zero,zero))))
    | join(top,meet(top,join(zero,zero))) != top
    | join(X0,join(top,meet(top,join(zero,zero)))) = join(X0,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(top,meet(top,join(zero,zero)))),join(X0,join(top,meet(top,join(zero,zero))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1240,plain,
    ( join(top,meet(top,join(zero,zero))) != top
    | join(X0,join(top,meet(top,join(zero,zero)))) = join(X0,top) ),
    inference(resolve,[$cnf( $equal(join(X0,join(top,meet(top,join(zero,zero)))),join(X0,join(top,meet(top,join(zero,zero))))) )],[refute_0_1238,refute_0_1239]) ).

cnf(refute_0_1241,plain,
    join(X0,join(top,meet(top,join(zero,zero)))) = join(X0,top),
    inference(resolve,[$cnf( $equal(join(top,meet(top,join(zero,zero))),top) )],[refute_0_1237,refute_0_1240]) ).

cnf(refute_0_1242,plain,
    join(top,join(X0,join(top,meet(top,join(zero,zero))))) = join(top,join(X0,join(top,meet(top,join(zero,zero))))),
    introduced(tautology,[refl,[$fot(join(top,join(X0,join(top,meet(top,join(zero,zero))))))]]) ).

cnf(refute_0_1243,plain,
    ( join(X0,join(top,meet(top,join(zero,zero)))) != join(X0,top)
    | join(top,join(X0,join(top,meet(top,join(zero,zero))))) != join(top,join(X0,join(top,meet(top,join(zero,zero)))))
    | join(top,join(X0,join(top,meet(top,join(zero,zero))))) = join(top,join(X0,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(X0,join(top,meet(top,join(zero,zero))))),join(top,join(X0,join(top,meet(top,join(zero,zero)))))) ),[1,1],$fot(join(X0,top))]]) ).

cnf(refute_0_1244,plain,
    ( join(X0,join(top,meet(top,join(zero,zero)))) != join(X0,top)
    | join(top,join(X0,join(top,meet(top,join(zero,zero))))) = join(top,join(X0,top)) ),
    inference(resolve,[$cnf( $equal(join(top,join(X0,join(top,meet(top,join(zero,zero))))),join(top,join(X0,join(top,meet(top,join(zero,zero)))))) )],[refute_0_1242,refute_0_1243]) ).

cnf(refute_0_1245,plain,
    join(top,join(X0,join(top,meet(top,join(zero,zero))))) = join(top,join(X0,top)),
    inference(resolve,[$cnf( $equal(join(X0,join(top,meet(top,join(zero,zero)))),join(X0,top)) )],[refute_0_1241,refute_0_1244]) ).

cnf(refute_0_1246,plain,
    ( join(X0,join(top,top)) != join(top,join(X0,join(top,meet(top,join(zero,zero)))))
    | join(top,join(X0,join(top,meet(top,join(zero,zero))))) != join(top,join(X0,top))
    | join(X0,join(top,top)) = join(top,join(X0,top)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(top,top)),join(top,join(X0,top))) ),[0],$fot(join(top,join(X0,join(top,meet(top,join(zero,zero))))))]]) ).

cnf(refute_0_1247,plain,
    ( join(X0,join(top,top)) != join(top,join(X0,join(top,meet(top,join(zero,zero)))))
    | join(X0,join(top,top)) = join(top,join(X0,top)) ),
    inference(resolve,[$cnf( $equal(join(top,join(X0,join(top,meet(top,join(zero,zero))))),join(top,join(X0,top))) )],[refute_0_1245,refute_0_1246]) ).

cnf(refute_0_1248,plain,
    join(X0,join(top,top)) = join(top,join(X0,top)),
    inference(resolve,[$cnf( $equal(join(X0,join(top,top)),join(top,join(X0,join(top,meet(top,join(zero,zero)))))) )],[refute_0_1183,refute_0_1247]) ).

cnf(refute_0_1249,plain,
    join(converse(X_4),join(top,top)) = join(top,join(converse(X_4),top)),
    inference(subst,[],[refute_0_1248:[bind(X0,$fot(converse(X_4)))]]) ).

cnf(refute_0_1250,plain,
    ( join(converse(X_4),join(top,top)) != join(top,join(converse(X_4),top))
    | join(top,join(converse(X_4),top)) != join(top,join(top,converse(X_4)))
    | join(converse(X_4),join(top,top)) = join(top,join(top,converse(X_4))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(X_4),join(top,top)))),bind(Y,$fot(join(top,join(converse(X_4),top)))),bind(Z,$fot(join(top,join(top,converse(X_4)))))]]) ).

cnf(refute_0_1251,plain,
    ( join(top,join(converse(X_4),top)) != join(top,join(top,converse(X_4)))
    | join(converse(X_4),join(top,top)) = join(top,join(top,converse(X_4))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_4),join(top,top)),join(top,join(converse(X_4),top))) )],[refute_0_1249,refute_0_1250]) ).

cnf(refute_0_1252,plain,
    join(converse(X_4),join(top,top)) = join(top,join(top,converse(X_4))),
    inference(resolve,[$cnf( $equal(join(top,join(converse(X_4),top)),join(top,join(top,converse(X_4)))) )],[refute_0_1099,refute_0_1251]) ).

cnf(refute_0_1253,plain,
    converse(join(X_4,converse(join(top,top)))) = join(converse(X_4),join(top,top)),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(join(top,top)))]]) ).

cnf(refute_0_1254,plain,
    ( converse(join(X_4,converse(join(top,top)))) != join(converse(X_4),join(top,top))
    | join(converse(X_4),join(top,top)) != join(top,join(top,converse(X_4)))
    | converse(join(X_4,converse(join(top,top)))) = join(top,join(top,converse(X_4))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(X_4,converse(join(top,top)))))),bind(Y,$fot(join(converse(X_4),join(top,top)))),bind(Z,$fot(join(top,join(top,converse(X_4)))))]]) ).

cnf(refute_0_1255,plain,
    ( join(converse(X_4),join(top,top)) != join(top,join(top,converse(X_4)))
    | converse(join(X_4,converse(join(top,top)))) = join(top,join(top,converse(X_4))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(top,top)))),join(converse(X_4),join(top,top))) )],[refute_0_1253,refute_0_1254]) ).

cnf(refute_0_1256,plain,
    converse(join(X_4,converse(join(top,top)))) = join(top,join(top,converse(X_4))),
    inference(resolve,[$cnf( $equal(join(converse(X_4),join(top,top)),join(top,join(top,converse(X_4)))) )],[refute_0_1252,refute_0_1255]) ).

cnf(refute_0_1257,plain,
    ( converse(join(X_4,converse(join(top,top)))) != join(converse(X_4),join(top,complement(composition(converse(zero),top))))
    | converse(join(X_4,converse(join(top,top)))) != join(top,join(top,converse(X_4)))
    | join(top,join(top,converse(X_4))) = join(converse(X_4),join(top,complement(composition(converse(zero),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(join(top,top)))),join(converse(X_4),join(top,complement(composition(converse(zero),top))))) ),[0],$fot(join(top,join(top,converse(X_4))))]]) ).

cnf(refute_0_1258,plain,
    ( converse(join(X_4,converse(join(top,top)))) != join(converse(X_4),join(top,complement(composition(converse(zero),top))))
    | join(top,join(top,converse(X_4))) = join(converse(X_4),join(top,complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(top,top)))),join(top,join(top,converse(X_4)))) )],[refute_0_1256,refute_0_1257]) ).

cnf(refute_0_1259,plain,
    join(converse(X_4),join(top,complement(composition(converse(zero),top)))) = join(top,join(converse(X_4),complement(composition(converse(zero),top)))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(top)),bind(X_51,$fot(converse(X_4))),bind(X_52,$fot(complement(composition(converse(zero),top))))]]) ).

cnf(refute_0_1260,plain,
    ( join(converse(X_4),join(top,complement(composition(converse(zero),top)))) != join(top,join(converse(X_4),complement(composition(converse(zero),top))))
    | join(top,join(top,converse(X_4))) != join(converse(X_4),join(top,complement(composition(converse(zero),top))))
    | join(top,join(top,converse(X_4))) = join(top,join(converse(X_4),complement(composition(converse(zero),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,converse(X_4))),join(converse(X_4),join(top,complement(composition(converse(zero),top))))) ),[1],$fot(join(top,join(converse(X_4),complement(composition(converse(zero),top)))))]]) ).

cnf(refute_0_1261,plain,
    ( join(top,join(top,converse(X_4))) != join(converse(X_4),join(top,complement(composition(converse(zero),top))))
    | join(top,join(top,converse(X_4))) = join(top,join(converse(X_4),complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_4),join(top,complement(composition(converse(zero),top)))),join(top,join(converse(X_4),complement(composition(converse(zero),top))))) )],[refute_0_1259,refute_0_1260]) ).

cnf(refute_0_1262,plain,
    ( converse(join(X_4,converse(join(top,top)))) != join(converse(X_4),join(top,complement(composition(converse(zero),top))))
    | join(top,join(top,converse(X_4))) = join(top,join(converse(X_4),complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(join(top,join(top,converse(X_4))),join(converse(X_4),join(top,complement(composition(converse(zero),top))))) )],[refute_0_1258,refute_0_1261]) ).

cnf(refute_0_1263,plain,
    join(top,join(top,converse(X_4))) = join(top,join(converse(X_4),complement(composition(converse(zero),top)))),
    inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(top,top)))),join(converse(X_4),join(top,complement(composition(converse(zero),top))))) )],[refute_0_1025,refute_0_1262]) ).

cnf(refute_0_1264,plain,
    join(top,join(complement(zero),X2)) = join(join(top,complement(zero)),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(top)),bind(X1,$fot(complement(zero)))]]) ).

cnf(refute_0_1265,plain,
    join(complement(zero),top) = join(top,join(zero,complement(zero))),
    inference(subst,[],[refute_0_720:[bind(X_50,$fot(complement(zero)))]]) ).

cnf(refute_0_1266,plain,
    top = join(zero,complement(zero)),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(zero))]]) ).

cnf(refute_0_1267,plain,
    ( top != join(zero,complement(zero))
    | join(zero,complement(zero)) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(zero,complement(zero))))]]) ).

cnf(refute_0_1268,plain,
    join(zero,complement(zero)) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,complement(zero))) )],[refute_0_1266,refute_0_1267]) ).

cnf(refute_0_1269,plain,
    ( join(complement(zero),top) != join(top,join(zero,complement(zero)))
    | join(zero,complement(zero)) != top
    | join(complement(zero),top) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),top),join(top,join(zero,complement(zero)))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1270,plain,
    ( join(complement(zero),top) != join(top,join(zero,complement(zero)))
    | join(complement(zero),top) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_1268,refute_0_1269]) ).

cnf(refute_0_1271,plain,
    join(complement(zero),top) = join(top,top),
    inference(resolve,[$cnf( $equal(join(complement(zero),top),join(top,join(zero,complement(zero)))) )],[refute_0_1265,refute_0_1270]) ).

cnf(refute_0_1272,plain,
    join(complement(zero),top) = join(top,complement(zero)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(top)),bind(X1,$fot(complement(zero)))]]) ).

cnf(refute_0_1273,plain,
    ( join(complement(zero),top) != join(top,complement(zero))
    | join(complement(zero),top) != join(top,top)
    | join(top,complement(zero)) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),top),join(top,top)) ),[0],$fot(join(top,complement(zero)))]]) ).

cnf(refute_0_1274,plain,
    ( join(complement(zero),top) != join(top,top)
    | join(top,complement(zero)) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),top),join(top,complement(zero))) )],[refute_0_1272,refute_0_1273]) ).

cnf(refute_0_1275,plain,
    join(top,complement(zero)) = join(top,top),
    inference(resolve,[$cnf( $equal(join(complement(zero),top),join(top,top)) )],[refute_0_1271,refute_0_1274]) ).

cnf(refute_0_1276,plain,
    ( join(top,complement(zero)) != join(top,top)
    | join(top,top) != join(one,top)
    | join(top,complement(zero)) = join(one,top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(top,complement(zero)),join(one,top)) ),[0],$fot(join(top,top))]]) ).

cnf(refute_0_1277,plain,
    ( join(top,complement(zero)) != join(top,top)
    | join(top,complement(zero)) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(top,top),join(one,top)) )],[refute_0_957,refute_0_1276]) ).

cnf(refute_0_1278,plain,
    join(top,complement(zero)) = join(one,top),
    inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,top)) )],[refute_0_1275,refute_0_1277]) ).

cnf(refute_0_1279,plain,
    ( join(top,complement(zero)) != join(one,top)
    | join(top,join(complement(zero),X2)) != join(join(top,complement(zero)),X2)
    | join(top,join(complement(zero),X2)) = join(join(one,top),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(zero),X2)),join(join(top,complement(zero)),X2)) ),[1,0],$fot(join(one,top))]]) ).

cnf(refute_0_1280,plain,
    ( join(top,join(complement(zero),X2)) != join(join(top,complement(zero)),X2)
    | join(top,join(complement(zero),X2)) = join(join(one,top),X2) ),
    inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(one,top)) )],[refute_0_1278,refute_0_1279]) ).

cnf(refute_0_1281,plain,
    join(top,join(complement(zero),X2)) = join(join(one,top),X2),
    inference(resolve,[$cnf( $equal(join(top,join(complement(zero),X2)),join(join(top,complement(zero)),X2)) )],[refute_0_1264,refute_0_1280]) ).

cnf(refute_0_1282,plain,
    ( join(top,complement(zero)) != join(top,top)
    | join(top,join(complement(zero),X2)) != join(join(top,complement(zero)),X2)
    | join(top,join(complement(zero),X2)) = join(join(top,top),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(zero),X2)),join(join(top,complement(zero)),X2)) ),[1,0],$fot(join(top,top))]]) ).

cnf(refute_0_1283,plain,
    ( join(top,join(complement(zero),X2)) != join(join(top,complement(zero)),X2)
    | join(top,join(complement(zero),X2)) = join(join(top,top),X2) ),
    inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,top)) )],[refute_0_1275,refute_0_1282]) ).

cnf(refute_0_1284,plain,
    join(top,join(complement(zero),X2)) = join(join(top,top),X2),
    inference(resolve,[$cnf( $equal(join(top,join(complement(zero),X2)),join(join(top,complement(zero)),X2)) )],[refute_0_1264,refute_0_1283]) ).

cnf(refute_0_1285,plain,
    ( join(join(top,top),X2) != join(top,join(top,X2))
    | join(top,join(complement(zero),X2)) != join(join(top,top),X2)
    | join(top,join(complement(zero),X2)) = join(top,join(top,X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(zero),X2)),join(join(top,top),X2)) ),[1],$fot(join(top,join(top,X2)))]]) ).

cnf(refute_0_1286,plain,
    ( join(top,join(complement(zero),X2)) != join(join(top,top),X2)
    | join(top,join(complement(zero),X2)) = join(top,join(top,X2)) ),
    inference(resolve,[$cnf( $equal(join(join(top,top),X2),join(top,join(top,X2))) )],[refute_0_1161,refute_0_1285]) ).

cnf(refute_0_1287,plain,
    join(top,join(complement(zero),X2)) = join(top,join(top,X2)),
    inference(resolve,[$cnf( $equal(join(top,join(complement(zero),X2)),join(join(top,top),X2)) )],[refute_0_1284,refute_0_1286]) ).

cnf(refute_0_1288,plain,
    ( join(top,join(complement(zero),X2)) != join(join(one,top),X2)
    | join(top,join(complement(zero),X2)) != join(top,join(top,X2))
    | join(top,join(top,X2)) = join(join(one,top),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(zero),X2)),join(join(one,top),X2)) ),[0],$fot(join(top,join(top,X2)))]]) ).

cnf(refute_0_1289,plain,
    ( join(top,join(complement(zero),X2)) != join(join(one,top),X2)
    | join(top,join(top,X2)) = join(join(one,top),X2) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(zero),X2)),join(top,join(top,X2))) )],[refute_0_1287,refute_0_1288]) ).

cnf(refute_0_1290,plain,
    join(join(one,top),X2) = join(one,join(top,X2)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(one)),bind(X1,$fot(top))]]) ).

cnf(refute_0_1291,plain,
    ( join(join(one,top),X2) != join(one,join(top,X2))
    | join(top,join(top,X2)) != join(join(one,top),X2)
    | join(top,join(top,X2)) = join(one,join(top,X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,X2)),join(join(one,top),X2)) ),[1],$fot(join(one,join(top,X2)))]]) ).

cnf(refute_0_1292,plain,
    ( join(top,join(top,X2)) != join(join(one,top),X2)
    | join(top,join(top,X2)) = join(one,join(top,X2)) ),
    inference(resolve,[$cnf( $equal(join(join(one,top),X2),join(one,join(top,X2))) )],[refute_0_1290,refute_0_1291]) ).

cnf(refute_0_1293,plain,
    ( join(top,join(complement(zero),X2)) != join(join(one,top),X2)
    | join(top,join(top,X2)) = join(one,join(top,X2)) ),
    inference(resolve,[$cnf( $equal(join(top,join(top,X2)),join(join(one,top),X2)) )],[refute_0_1289,refute_0_1292]) ).

cnf(refute_0_1294,plain,
    join(top,join(top,X2)) = join(one,join(top,X2)),
    inference(resolve,[$cnf( $equal(join(top,join(complement(zero),X2)),join(join(one,top),X2)) )],[refute_0_1281,refute_0_1293]) ).

cnf(refute_0_1295,plain,
    join(top,join(top,converse(X_4))) = join(one,join(top,converse(X_4))),
    inference(subst,[],[refute_0_1294:[bind(X2,$fot(converse(X_4)))]]) ).

cnf(refute_0_1296,plain,
    ( join(top,join(top,converse(X_4))) != join(one,join(top,converse(X_4)))
    | join(top,join(top,converse(X_4))) != join(top,join(converse(X_4),complement(composition(converse(zero),top))))
    | join(one,join(top,converse(X_4))) = join(top,join(converse(X_4),complement(composition(converse(zero),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,converse(X_4))),join(top,join(converse(X_4),complement(composition(converse(zero),top))))) ),[0],$fot(join(one,join(top,converse(X_4))))]]) ).

cnf(refute_0_1297,plain,
    ( join(top,join(top,converse(X_4))) != join(top,join(converse(X_4),complement(composition(converse(zero),top))))
    | join(one,join(top,converse(X_4))) = join(top,join(converse(X_4),complement(composition(converse(zero),top)))) ),
    inference(resolve,[$cnf( $equal(join(top,join(top,converse(X_4))),join(one,join(top,converse(X_4)))) )],[refute_0_1295,refute_0_1296]) ).

cnf(refute_0_1298,plain,
    join(one,join(top,converse(X_4))) = join(top,join(converse(X_4),complement(composition(converse(zero),top)))),
    inference(resolve,[$cnf( $equal(join(top,join(top,converse(X_4))),join(top,join(converse(X_4),complement(composition(converse(zero),top))))) )],[refute_0_1263,refute_0_1297]) ).

cnf(refute_0_1299,plain,
    ( join(one,join(top,converse(X_4))) != join(top,join(converse(X_4),complement(composition(converse(zero),top))))
    | join(top,join(converse(X_4),complement(composition(converse(zero),top)))) = join(one,join(top,converse(X_4))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,join(top,converse(X_4))))),bind(Y,$fot(join(top,join(converse(X_4),complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_1300,plain,
    join(top,join(converse(X_4),complement(composition(converse(zero),top)))) = join(one,join(top,converse(X_4))),
    inference(resolve,[$cnf( $equal(join(one,join(top,converse(X_4))),join(top,join(converse(X_4),complement(composition(converse(zero),top))))) )],[refute_0_1298,refute_0_1299]) ).

cnf(refute_0_1301,plain,
    join(top,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))) = join(one,join(top,converse(complement(converse(top))))),
    inference(subst,[],[refute_0_1300:[bind(X_4,$fot(complement(converse(top))))]]) ).

cnf(refute_0_1302,plain,
    join(X0,join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),
    inference(subst,[],[refute_0_65:[bind(X1,$fot(top)),bind(X2,$fot(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1303,plain,
    top = join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))))),
    inference(subst,[],[refute_0_295:[bind(X0,$fot(top)),bind(X_24,$fot(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1304,plain,
    join(one,join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) = join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(one)),bind(X_52,$fot(join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))]]) ).

cnf(refute_0_1305,plain,
    top = join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))),
    inference(subst,[],[refute_0_295:[bind(X0,$fot(complement(one))),bind(X_24,$fot(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1306,plain,
    converse(top) = join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))))),
    inference(subst,[],[refute_0_143:[bind(X_13,$fot(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),bind(X_14,$fot(complement(one)))]]) ).

cnf(refute_0_1307,plain,
    converse(top) = join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))))))),
    inference(subst,[],[refute_0_143:[bind(X_13,$fot(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))),bind(X_14,$fot(complement(one)))]]) ).

cnf(refute_0_1308,plain,
    converse(top) = join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))))))),
    inference(subst,[],[refute_0_143:[bind(X_13,$fot(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))),bind(X_14,$fot(complement(one)))]]) ).

cnf(refute_0_1309,plain,
    converse(top) = join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one))))))))))),
    inference(subst,[],[refute_0_143:[bind(X_13,$fot(join(composition(converse(top),zero),converse(complement(converse(complement(one))))))),bind(X_14,$fot(complement(one)))]]) ).

cnf(refute_0_1310,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))))))))
    | join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))) != converse(top)
    | converse(top) = join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))))))))) ),[1,1,1,0,0,0],$fot(converse(top))]]) ).

cnf(refute_0_1311,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))))))))
    | converse(top) = join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))),converse(top)) )],[refute_0_181,refute_0_1310]) ).

cnf(refute_0_1312,plain,
    converse(top) = join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(complement(converse(complement(one)))))))))))) )],[refute_0_1309,refute_0_1311]) ).

cnf(refute_0_1313,plain,
    join(complement(converse(complement(one))),zero) = join(zero,complement(converse(complement(one)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(zero)),bind(X1,$fot(complement(converse(complement(one)))))]]) ).

cnf(refute_0_1314,plain,
    join(complement(converse(complement(one))),complement(converse(converse(top)))) = join(complement(converse(complement(one))),complement(converse(converse(top)))),
    introduced(tautology,[refl,[$fot(join(complement(converse(complement(one))),complement(converse(converse(top)))))]]) ).

cnf(refute_0_1315,plain,
    ( complement(converse(converse(top))) != zero
    | join(complement(converse(complement(one))),complement(converse(converse(top)))) != join(complement(converse(complement(one))),complement(converse(converse(top))))
    | join(complement(converse(complement(one))),complement(converse(converse(top)))) = join(complement(converse(complement(one))),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),complement(converse(converse(top)))),join(complement(converse(complement(one))),complement(converse(converse(top))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1316,plain,
    ( complement(converse(converse(top))) != zero
    | join(complement(converse(complement(one))),complement(converse(converse(top)))) = join(complement(converse(complement(one))),zero) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(converse(converse(top)))),join(complement(converse(complement(one))),complement(converse(converse(top))))) )],[refute_0_1314,refute_0_1315]) ).

cnf(refute_0_1317,plain,
    join(complement(converse(complement(one))),complement(converse(converse(top)))) = join(complement(converse(complement(one))),zero),
    inference(resolve,[$cnf( $equal(complement(converse(converse(top))),zero) )],[refute_0_581,refute_0_1316]) ).

cnf(refute_0_1318,plain,
    ( join(complement(converse(complement(one))),complement(converse(converse(top)))) != join(complement(converse(complement(one))),zero)
    | join(complement(converse(complement(one))),zero) != join(zero,complement(converse(complement(one))))
    | join(complement(converse(complement(one))),complement(converse(converse(top)))) = join(zero,complement(converse(complement(one)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(converse(complement(one))),complement(converse(converse(top)))))),bind(Y,$fot(join(complement(converse(complement(one))),zero))),bind(Z,$fot(join(zero,complement(converse(complement(one))))))]]) ).

cnf(refute_0_1319,plain,
    ( join(complement(converse(complement(one))),zero) != join(zero,complement(converse(complement(one))))
    | join(complement(converse(complement(one))),complement(converse(converse(top)))) = join(zero,complement(converse(complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(converse(converse(top)))),join(complement(converse(complement(one))),zero)) )],[refute_0_1317,refute_0_1318]) ).

cnf(refute_0_1320,plain,
    join(complement(converse(complement(one))),complement(converse(converse(top)))) = join(zero,complement(converse(complement(one)))),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),zero),join(zero,complement(converse(complement(one))))) )],[refute_0_1313,refute_0_1319]) ).

cnf(refute_0_1321,plain,
    converse(join(complement(converse(complement(one))),complement(converse(converse(top))))) = converse(join(complement(converse(complement(one))),complement(converse(converse(top))))),
    introduced(tautology,[refl,[$fot(converse(join(complement(converse(complement(one))),complement(converse(converse(top))))))]]) ).

cnf(refute_0_1322,plain,
    ( converse(join(complement(converse(complement(one))),complement(converse(converse(top))))) != converse(join(complement(converse(complement(one))),complement(converse(converse(top)))))
    | join(complement(converse(complement(one))),complement(converse(converse(top)))) != join(zero,complement(converse(complement(one))))
    | converse(join(complement(converse(complement(one))),complement(converse(converse(top))))) = converse(join(zero,complement(converse(complement(one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(complement(one))),complement(converse(converse(top))))),converse(join(complement(converse(complement(one))),complement(converse(converse(top)))))) ),[1,0],$fot(join(zero,complement(converse(complement(one)))))]]) ).

cnf(refute_0_1323,plain,
    ( join(complement(converse(complement(one))),complement(converse(converse(top)))) != join(zero,complement(converse(complement(one))))
    | converse(join(complement(converse(complement(one))),complement(converse(converse(top))))) = converse(join(zero,complement(converse(complement(one))))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(one))),complement(converse(converse(top))))),converse(join(complement(converse(complement(one))),complement(converse(converse(top)))))) )],[refute_0_1321,refute_0_1322]) ).

cnf(refute_0_1324,plain,
    converse(join(complement(converse(complement(one))),complement(converse(converse(top))))) = converse(join(zero,complement(converse(complement(one))))),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(converse(converse(top)))),join(zero,complement(converse(complement(one))))) )],[refute_0_1320,refute_0_1323]) ).

cnf(refute_0_1325,plain,
    join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))) = converse(join(complement(converse(complement(one))),complement(converse(converse(top))))),
    inference(subst,[],[refute_0_129:[bind(X0,$fot(complement(converse(complement(one))))),bind(X1,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1326,plain,
    ( converse(join(complement(converse(complement(one))),complement(converse(converse(top))))) != converse(join(zero,complement(converse(complement(one)))))
    | join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))) != converse(join(complement(converse(complement(one))),complement(converse(converse(top)))))
    | join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))) = converse(join(zero,complement(converse(complement(one))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(complement(converse(complement(one))),complement(converse(converse(top))))))),bind(Z,$fot(converse(join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1327,plain,
    ( converse(join(complement(converse(complement(one))),complement(converse(converse(top))))) != converse(join(zero,complement(converse(complement(one)))))
    | join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))) = converse(join(zero,complement(converse(complement(one))))) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))),converse(join(complement(converse(complement(one))),complement(converse(converse(top)))))) )],[refute_0_1325,refute_0_1326]) ).

cnf(refute_0_1328,plain,
    join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))) = converse(join(zero,complement(converse(complement(one))))),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(one))),complement(converse(converse(top))))),converse(join(zero,complement(converse(complement(one)))))) )],[refute_0_1324,refute_0_1327]) ).

cnf(refute_0_1329,plain,
    join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1330,plain,
    ( join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))))
    | join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))) != converse(join(zero,complement(converse(complement(one)))))
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(converse(join(zero,complement(converse(complement(one))))))]]) ).

cnf(refute_0_1331,plain,
    ( join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))) != converse(join(zero,complement(converse(complement(one)))))
    | join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))))) )],[refute_0_1329,refute_0_1330]) ).

cnf(refute_0_1332,plain,
    join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))),converse(join(zero,complement(converse(complement(one)))))) )],[refute_0_1328,refute_0_1331]) ).

cnf(refute_0_1333,plain,
    join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(composition(converse(top),zero))),bind(X1,$fot(converse(complement(converse(complement(one)))))),bind(X2,$fot(converse(complement(converse(converse(top))))))]]) ).

cnf(refute_0_1334,plain,
    ( join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1335,plain,
    ( join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))),join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top))))))) )],[refute_0_1333,refute_0_1334]) ).

cnf(refute_0_1336,plain,
    join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(complement(converse(complement(one)))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) )],[refute_0_1332,refute_0_1335]) ).

cnf(refute_0_1337,plain,
    join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1338,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))
    | join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1339,plain,
    ( join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))
    | join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))))) )],[refute_0_1337,refute_0_1338]) ).

cnf(refute_0_1340,plain,
    join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) )],[refute_0_1336,refute_0_1339]) ).

cnf(refute_0_1341,plain,
    join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))),
    inference(subst,[],[refute_0_175:[bind(X_13,$fot(join(composition(converse(top),zero),converse(complement(converse(complement(one))))))),bind(X_14,$fot(complement(one))),bind(X_5,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1342,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))) != join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))))),bind(Y,$fot(join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1343,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top))))))) )],[refute_0_1341,refute_0_1342]) ).

cnf(refute_0_1344,plain,
    join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),converse(complement(converse(converse(top)))))),join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1340,refute_0_1343]) ).

cnf(refute_0_1345,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))
    | converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))) ),[0],$fot(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1346,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top))))))
    | converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top)))))),join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1344,refute_0_1345]) ).

cnf(refute_0_1347,plain,
    converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(complement(converse(complement(one))))),join(complement(one),converse(complement(converse(converse(top))))))) )],[refute_0_1312,refute_0_1346]) ).

cnf(refute_0_1348,plain,
    ( converse(top) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))
    | join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1349,plain,
    join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1347,refute_0_1348]) ).

cnf(refute_0_1350,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))))))))
    | join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))) != converse(top)
    | converse(top) = join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))))))))) ),[1,1,1,0,0,0],$fot(converse(top))]]) ).

cnf(refute_0_1351,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))))))))
    | converse(top) = join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))),converse(top)) )],[refute_0_1349,refute_0_1350]) ).

cnf(refute_0_1352,plain,
    converse(top) = join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one))))))))))))) )],[refute_0_1308,refute_0_1351]) ).

cnf(refute_0_1353,plain,
    join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))) = join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))),
    introduced(tautology,[refl,[$fot(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))]]) ).

cnf(refute_0_1354,plain,
    ( join(complement(converse(complement(one))),complement(converse(converse(top)))) != join(zero,complement(converse(complement(one))))
    | join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))) != join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))
    | join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))) = join(zero,join(zero,complement(converse(complement(one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))),join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) ),[1,1],$fot(join(zero,complement(converse(complement(one)))))]]) ).

cnf(refute_0_1355,plain,
    ( join(complement(converse(complement(one))),complement(converse(converse(top)))) != join(zero,complement(converse(complement(one))))
    | join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))) = join(zero,join(zero,complement(converse(complement(one))))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))),join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) )],[refute_0_1353,refute_0_1354]) ).

cnf(refute_0_1356,plain,
    join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))) = join(zero,join(zero,complement(converse(complement(one))))),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(converse(converse(top)))),join(zero,complement(converse(complement(one))))) )],[refute_0_1320,refute_0_1355]) ).

cnf(refute_0_1357,plain,
    converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))),
    introduced(tautology,[refl,[$fot(converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1358,plain,
    ( converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) != converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))
    | join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))) != join(zero,join(zero,complement(converse(complement(one)))))
    | converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) = converse(join(zero,join(zero,complement(converse(complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))),converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))) ),[1,0],$fot(join(zero,join(zero,complement(converse(complement(one))))))]]) ).

cnf(refute_0_1359,plain,
    ( join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))) != join(zero,join(zero,complement(converse(complement(one)))))
    | converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) = converse(join(zero,join(zero,complement(converse(complement(one)))))) ),
    inference(resolve,[$cnf( $equal(converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))),converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))) )],[refute_0_1357,refute_0_1358]) ).

cnf(refute_0_1360,plain,
    converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) = converse(join(zero,join(zero,complement(converse(complement(one)))))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))),join(zero,join(zero,complement(converse(complement(one)))))) )],[refute_0_1356,refute_0_1359]) ).

cnf(refute_0_1361,plain,
    converse(join(zero,join(complement(converse(converse(top))),complement(converse(complement(one)))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))),
    inference(subst,[],[refute_0_382:[bind(X0,$fot(zero)),bind(X_13,$fot(complement(converse(complement(one))))),bind(X_14,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1362,plain,
    converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) = converse(join(zero,join(complement(converse(converse(top))),complement(converse(complement(one)))))),
    inference(subst,[],[refute_0_573:[bind(X1,$fot(complement(converse(complement(one))))),bind(X_13,$fot(zero)),bind(X_14,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1363,plain,
    ( converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) != converse(join(zero,join(complement(converse(converse(top))),complement(converse(complement(one))))))
    | converse(join(zero,join(complement(converse(converse(top))),complement(converse(complement(one)))))) != converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))
    | converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))),bind(Y,$fot(converse(join(zero,join(complement(converse(converse(top))),complement(converse(complement(one)))))))),bind(Z,$fot(converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))))]]) ).

cnf(refute_0_1364,plain,
    ( converse(join(zero,join(complement(converse(converse(top))),complement(converse(complement(one)))))) != converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))
    | converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))),converse(join(zero,join(complement(converse(converse(top))),complement(converse(complement(one))))))) )],[refute_0_1362,refute_0_1363]) ).

cnf(refute_0_1365,plain,
    converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(join(zero,join(complement(converse(converse(top))),complement(converse(complement(one)))))),converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))) )],[refute_0_1361,refute_0_1364]) ).

cnf(refute_0_1366,plain,
    converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))) = converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))),
    inference(subst,[],[refute_0_599:[bind(X0,$fot(complement(converse(converse(top))))),bind(X1,$fot(join(zero,complement(converse(complement(one))))))]]) ).

cnf(refute_0_1367,plain,
    ( converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) != converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))
    | converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))) != converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))
    | converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))))),bind(Y,$fot(converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))),bind(Z,$fot(converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))))]]) ).

cnf(refute_0_1368,plain,
    ( converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) != converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))
    | converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))),converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) )],[refute_0_1366,refute_0_1367]) ).

cnf(refute_0_1369,plain,
    converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))),converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))) )],[refute_0_1365,refute_0_1368]) ).

cnf(refute_0_1370,plain,
    join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))),
    inference(subst,[],[refute_0_129:[bind(X0,$fot(join(zero,complement(converse(complement(one)))))),bind(X1,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1371,plain,
    ( converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))
    | join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) != converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top)))))
    | join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))))),bind(Z,$fot(converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))))]]) ).

cnf(refute_0_1372,plain,
    ( converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))
    | join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))),converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top)))))) )],[refute_0_1370,refute_0_1371]) ).

cnf(refute_0_1373,plain,
    join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(join(join(zero,complement(converse(complement(one)))),complement(converse(converse(top))))),converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))) )],[refute_0_1369,refute_0_1372]) ).

cnf(refute_0_1374,plain,
    ( converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) != converse(join(zero,join(zero,complement(converse(complement(one))))))
    | join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))
    | join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(zero,complement(converse(complement(one)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))))),bind(Z,$fot(converse(join(zero,join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1375,plain,
    ( converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))) != converse(join(zero,join(zero,complement(converse(complement(one))))))
    | join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(zero,complement(converse(complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))),converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top))))))) )],[refute_0_1373,refute_0_1374]) ).

cnf(refute_0_1376,plain,
    join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(zero,complement(converse(complement(one)))))),
    inference(resolve,[$cnf( $equal(converse(join(zero,join(complement(converse(complement(one))),complement(converse(converse(top)))))),converse(join(zero,join(zero,complement(converse(complement(one))))))) )],[refute_0_1360,refute_0_1375]) ).

cnf(refute_0_1377,plain,
    join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1378,plain,
    ( join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))))
    | join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) != converse(join(zero,join(zero,complement(converse(complement(one))))))
    | join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(converse(join(zero,join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1379,plain,
    ( join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))) != converse(join(zero,join(zero,complement(converse(complement(one))))))
    | join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))))) )],[refute_0_1377,refute_0_1378]) ).

cnf(refute_0_1380,plain,
    join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))),converse(join(zero,join(zero,complement(converse(complement(one))))))) )],[refute_0_1376,refute_0_1379]) ).

cnf(refute_0_1381,plain,
    join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(composition(converse(top),zero))),bind(X1,$fot(converse(join(zero,complement(converse(complement(one))))))),bind(X2,$fot(converse(complement(converse(converse(top))))))]]) ).

cnf(refute_0_1382,plain,
    ( join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))
    | join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1383,plain,
    ( join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))
    | join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))),join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top))))))) )],[refute_0_1381,refute_0_1382]) ).

cnf(refute_0_1384,plain,
    join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(join(zero,complement(converse(complement(one))))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) )],[refute_0_1380,refute_0_1383]) ).

cnf(refute_0_1385,plain,
    join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1386,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))
    | join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1387,plain,
    ( join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))
    | join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))) )],[refute_0_1385,refute_0_1386]) ).

cnf(refute_0_1388,plain,
    join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) )],[refute_0_1384,refute_0_1387]) ).

cnf(refute_0_1389,plain,
    join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))),
    inference(subst,[],[refute_0_175:[bind(X_13,$fot(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))))),bind(X_14,$fot(complement(one))),bind(X_5,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1390,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))
    | join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))) != join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))))),bind(Y,$fot(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1391,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))
    | join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))) )],[refute_0_1389,refute_0_1390]) ).

cnf(refute_0_1392,plain,
    join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1388,refute_0_1391]) ).

cnf(refute_0_1393,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))
    | converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))) ),[0],$fot(join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1394,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top))))))
    | converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top)))))),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1392,refute_0_1393]) ).

cnf(refute_0_1395,plain,
    converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(join(zero,complement(converse(complement(one)))))),join(complement(one),converse(complement(converse(converse(top))))))) )],[refute_0_1352,refute_0_1394]) ).

cnf(refute_0_1396,plain,
    ( converse(top) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))
    | join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1397,plain,
    join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1395,refute_0_1396]) ).

cnf(refute_0_1398,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))))))))
    | join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))) != converse(top)
    | converse(top) = join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))))))))) ),[1,1,1,0,0,0],$fot(converse(top))]]) ).

cnf(refute_0_1399,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))))))))
    | converse(top) = join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))),converse(top)) )],[refute_0_1397,refute_0_1398]) ).

cnf(refute_0_1400,plain,
    converse(top) = join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one)))))))))))))) )],[refute_0_1307,refute_0_1399]) ).

cnf(refute_0_1401,plain,
    join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))) = join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))),
    introduced(tautology,[refl,[$fot(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))]]) ).

cnf(refute_0_1402,plain,
    ( complement(converse(converse(top))) != zero
    | join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))) != join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))
    | join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))) = join(zero,join(zero,complement(converse(complement(one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))),join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1403,plain,
    ( complement(converse(converse(top))) != zero
    | join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))) = join(zero,join(zero,complement(converse(complement(one))))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))),join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) )],[refute_0_1401,refute_0_1402]) ).

cnf(refute_0_1404,plain,
    join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))) = join(zero,join(zero,complement(converse(complement(one))))),
    inference(resolve,[$cnf( $equal(complement(converse(converse(top))),zero) )],[refute_0_581,refute_0_1403]) ).

cnf(refute_0_1405,plain,
    join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) = join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))),
    introduced(tautology,[refl,[$fot(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1406,plain,
    ( join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))) != join(zero,join(zero,complement(converse(complement(one)))))
    | join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) != join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))
    | join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) = join(zero,join(zero,join(zero,complement(converse(complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))),join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) ),[1,1],$fot(join(zero,join(zero,complement(converse(complement(one))))))]]) ).

cnf(refute_0_1407,plain,
    ( join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))) != join(zero,join(zero,complement(converse(complement(one)))))
    | join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) = join(zero,join(zero,join(zero,complement(converse(complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))),join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) )],[refute_0_1405,refute_0_1406]) ).

cnf(refute_0_1408,plain,
    join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) = join(zero,join(zero,join(zero,complement(converse(complement(one)))))),
    inference(resolve,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))),join(zero,join(zero,complement(converse(complement(one)))))) )],[refute_0_1404,refute_0_1407]) ).

cnf(refute_0_1409,plain,
    converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))),
    introduced(tautology,[refl,[$fot(converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1410,plain,
    ( converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))
    | join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) != join(zero,join(zero,join(zero,complement(converse(complement(one))))))
    | converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) = converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))),converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))) ),[1,0],$fot(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1411,plain,
    ( join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))) != join(zero,join(zero,join(zero,complement(converse(complement(one))))))
    | converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) = converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))),converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))) )],[refute_0_1409,refute_0_1410]) ).

cnf(refute_0_1412,plain,
    converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) = converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))),join(zero,join(zero,join(zero,complement(converse(complement(one))))))) )],[refute_0_1408,refute_0_1411]) ).

cnf(refute_0_1413,plain,
    converse(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))),
    inference(subst,[],[refute_0_573:[bind(X1,$fot(join(zero,complement(converse(complement(one)))))),bind(X_13,$fot(zero)),bind(X_14,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1414,plain,
    converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))) = converse(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))),
    inference(subst,[],[refute_0_599:[bind(X0,$fot(complement(converse(converse(top))))),bind(X1,$fot(join(zero,join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1415,plain,
    ( converse(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))
    | converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))) != converse(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))
    | converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))))),bind(Y,$fot(converse(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))),bind(Z,$fot(converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1416,plain,
    ( converse(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))
    | converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))),converse(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) )],[refute_0_1414,refute_0_1415]) ).

cnf(refute_0_1417,plain,
    converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))),converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))) )],[refute_0_1413,refute_0_1416]) ).

cnf(refute_0_1418,plain,
    join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))),
    inference(subst,[],[refute_0_129:[bind(X0,$fot(join(zero,join(zero,complement(converse(complement(one))))))),bind(X1,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1419,plain,
    ( converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))
    | join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) != converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top)))))
    | join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))))),bind(Z,$fot(converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1420,plain,
    ( converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))
    | join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))),converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top)))))) )],[refute_0_1418,refute_0_1419]) ).

cnf(refute_0_1421,plain,
    join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(converse(join(join(zero,join(zero,complement(converse(complement(one))))),complement(converse(converse(top))))),converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))) )],[refute_0_1417,refute_0_1420]) ).

cnf(refute_0_1422,plain,
    ( converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) != converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))
    | join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))
    | join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))))),bind(Z,$fot(converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1423,plain,
    ( converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))) != converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))
    | join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))),converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one)))))))) )],[refute_0_1421,refute_0_1422]) ).

cnf(refute_0_1424,plain,
    join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(converse(join(zero,join(complement(converse(converse(top))),join(zero,complement(converse(complement(one))))))),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) )],[refute_0_1412,refute_0_1423]) ).

cnf(refute_0_1425,plain,
    join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1426,plain,
    ( join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))
    | join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) != converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))
    | join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1427,plain,
    ( join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))) != converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))
    | join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))) )],[refute_0_1425,refute_0_1426]) ).

cnf(refute_0_1428,plain,
    join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) )],[refute_0_1424,refute_0_1427]) ).

cnf(refute_0_1429,plain,
    join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(composition(converse(top),zero))),bind(X1,$fot(converse(join(zero,join(zero,complement(converse(complement(one)))))))),bind(X2,$fot(converse(complement(converse(converse(top))))))]]) ).

cnf(refute_0_1430,plain,
    ( join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1431,plain,
    ( join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))),join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top))))))) )],[refute_0_1429,refute_0_1430]) ).

cnf(refute_0_1432,plain,
    join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(join(zero,join(zero,complement(converse(complement(one)))))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1428,refute_0_1431]) ).

cnf(refute_0_1433,plain,
    join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1434,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))
    | join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1435,plain,
    ( join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))
    | join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))) )],[refute_0_1433,refute_0_1434]) ).

cnf(refute_0_1436,plain,
    join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1432,refute_0_1435]) ).

cnf(refute_0_1437,plain,
    join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))),
    inference(subst,[],[refute_0_175:[bind(X_13,$fot(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))))),bind(X_14,$fot(complement(one))),bind(X_5,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1438,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))) != join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))))),bind(Y,$fot(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))]]) ).

cnf(refute_0_1439,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))) )],[refute_0_1437,refute_0_1438]) ).

cnf(refute_0_1440,plain,
    join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1436,refute_0_1439]) ).

cnf(refute_0_1441,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),[0],$fot(join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1442,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top))))))
    | converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top)))))),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1440,refute_0_1441]) ).

cnf(refute_0_1443,plain,
    converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(join(zero,join(zero,complement(converse(complement(one))))))),join(complement(one),converse(complement(converse(converse(top))))))) )],[refute_0_1400,refute_0_1442]) ).

cnf(refute_0_1444,plain,
    ( converse(top) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))]]) ).

cnf(refute_0_1445,plain,
    join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1443,refute_0_1444]) ).

cnf(refute_0_1446,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))))))
    | join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) != converse(top)
    | converse(top) = join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))))))) ),[1,1,1,0,0,0],$fot(converse(top))]]) ).

cnf(refute_0_1447,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))))))
    | converse(top) = join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),converse(top)) )],[refute_0_1445,refute_0_1446]) ).

cnf(refute_0_1448,plain,
    converse(top) = join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))))))) )],[refute_0_1306,refute_0_1447]) ).

cnf(refute_0_1449,plain,
    join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))) = join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))),
    introduced(tautology,[refl,[$fot(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1450,plain,
    ( complement(converse(converse(top))) != zero
    | join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))) != join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))
    | join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))) = join(zero,join(zero,join(zero,complement(converse(complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))),join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1451,plain,
    ( complement(converse(converse(top))) != zero
    | join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))) = join(zero,join(zero,join(zero,complement(converse(complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))),join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) )],[refute_0_1449,refute_0_1450]) ).

cnf(refute_0_1452,plain,
    join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))) = join(zero,join(zero,join(zero,complement(converse(complement(one)))))),
    inference(resolve,[$cnf( $equal(complement(converse(converse(top))),zero) )],[refute_0_581,refute_0_1451]) ).

cnf(refute_0_1453,plain,
    join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) = join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))),
    introduced(tautology,[refl,[$fot(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1454,plain,
    ( join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))) != join(zero,join(zero,join(zero,complement(converse(complement(one))))))
    | join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) != join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))
    | join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) = join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))),join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) ),[1,1],$fot(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1455,plain,
    ( join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))) != join(zero,join(zero,join(zero,complement(converse(complement(one))))))
    | join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) = join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))),join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) )],[refute_0_1453,refute_0_1454]) ).

cnf(refute_0_1456,plain,
    join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) = join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))),join(zero,join(zero,join(zero,complement(converse(complement(one))))))) )],[refute_0_1452,refute_0_1455]) ).

cnf(refute_0_1457,plain,
    converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))),
    introduced(tautology,[refl,[$fot(converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1458,plain,
    ( converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))
    | join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) != join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))
    | converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) = converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))),converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))) ),[1,0],$fot(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1459,plain,
    ( join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))) != join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))
    | converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) = converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))),converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1457,refute_0_1458]) ).

cnf(refute_0_1460,plain,
    converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) = converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))),join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) )],[refute_0_1456,refute_0_1459]) ).

cnf(refute_0_1461,plain,
    converse(join(complement(converse(converse(top))),join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(subst,[],[refute_0_573:[bind(X1,$fot(join(zero,join(zero,complement(converse(complement(one))))))),bind(X_13,$fot(zero)),bind(X_14,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1462,plain,
    converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))) = converse(join(complement(converse(converse(top))),join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(subst,[],[refute_0_599:[bind(X0,$fot(complement(converse(converse(top))))),bind(X1,$fot(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1463,plain,
    ( converse(join(complement(converse(converse(top))),join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))
    | converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))) != converse(join(complement(converse(converse(top))),join(zero,join(zero,join(zero,complement(converse(complement(one))))))))
    | converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))))),bind(Y,$fot(converse(join(complement(converse(converse(top))),join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),bind(Z,$fot(converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1464,plain,
    ( converse(join(complement(converse(converse(top))),join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))
    | converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))),converse(join(complement(converse(converse(top))),join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1462,refute_0_1463]) ).

cnf(refute_0_1465,plain,
    converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(converse(top))),join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1461,refute_0_1464]) ).

cnf(refute_0_1466,plain,
    join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))),
    inference(subst,[],[refute_0_129:[bind(X0,$fot(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),bind(X1,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1467,plain,
    ( converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))
    | join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) != converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top)))))
    | join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))))),bind(Z,$fot(converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1468,plain,
    ( converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))
    | join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))),converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top)))))) )],[refute_0_1466,refute_0_1467]) ).

cnf(refute_0_1469,plain,
    join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(converse(join(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),complement(converse(converse(top))))),converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1465,refute_0_1468]) ).

cnf(refute_0_1470,plain,
    ( converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) != converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))
    | join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) != converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))
    | join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))))),bind(Z,$fot(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1471,plain,
    ( converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))) != converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))
    | join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))),converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1469,refute_0_1470]) ).

cnf(refute_0_1472,plain,
    join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) = converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(converse(join(zero,join(complement(converse(converse(top))),join(zero,join(zero,complement(converse(complement(one)))))))),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1460,refute_0_1471]) ).

cnf(refute_0_1473,plain,
    join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1474,plain,
    ( join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))
    | join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) != converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))
    | join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1475,plain,
    ( join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))) != converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))
    | join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))) )],[refute_0_1473,refute_0_1474]) ).

cnf(refute_0_1476,plain,
    join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),
    inference(resolve,[$cnf( $equal(join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1472,refute_0_1475]) ).

cnf(refute_0_1477,plain,
    join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(composition(converse(top),zero))),bind(X1,$fot(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),bind(X2,$fot(converse(complement(converse(converse(top))))))]]) ).

cnf(refute_0_1478,plain,
    ( join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))]]) ).

cnf(refute_0_1479,plain,
    ( join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))),join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top))))))) )],[refute_0_1477,refute_0_1478]) ).

cnf(refute_0_1480,plain,
    join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))) = join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),join(converse(join(zero,join(zero,join(zero,complement(converse(complement(one))))))),converse(complement(converse(converse(top)))))),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1476,refute_0_1479]) ).

cnf(refute_0_1481,plain,
    join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))),
    introduced(tautology,[refl,[$fot(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1482,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1483,plain,
    ( join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))) != join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))))) )],[refute_0_1481,refute_0_1482]) ).

cnf(refute_0_1484,plain,
    join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1480,refute_0_1483]) ).

cnf(refute_0_1485,plain,
    join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))),
    inference(subst,[],[refute_0_175:[bind(X_13,$fot(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),bind(X_14,$fot(complement(one))),bind(X_5,$fot(complement(converse(converse(top)))))]]) ).

cnf(refute_0_1486,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))) != join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))))),bind(Y,$fot(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))))]]) ).

cnf(refute_0_1487,plain,
    ( join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))),join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top))))))) )],[refute_0_1485,refute_0_1486]) ).

cnf(refute_0_1488,plain,
    join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(complement(converse(converse(top)))))),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) )],[refute_0_1484,refute_0_1487]) ).

cnf(refute_0_1489,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top))))))
    | join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) ),[0],$fot(join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))))]]) ).

cnf(refute_0_1490,plain,
    ( converse(top) != join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top))))))
    | converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),
    inference(resolve,[$cnf( $equal(join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top)))))),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) )],[refute_0_1488,refute_0_1489]) ).

cnf(refute_0_1491,plain,
    converse(top) = join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),join(complement(one),converse(complement(converse(converse(top))))))) )],[refute_0_1448,refute_0_1490]) ).

cnf(refute_0_1492,plain,
    join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) = join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),
    inference(subst,[],[refute_0_233:[bind(X_52,$fot(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1493,plain,
    ( converse(top) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) != join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | converse(top) = join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),[0],$fot(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))]]) ).

cnf(refute_0_1494,plain,
    ( converse(top) != join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | converse(top) = join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1492,refute_0_1493]) ).

cnf(refute_0_1495,plain,
    converse(top) = join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),
    inference(resolve,[$cnf( $equal(converse(top),join(complement(one),join(composition(converse(top),zero),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) )],[refute_0_1491,refute_0_1494]) ).

cnf(refute_0_1496,plain,
    ( converse(top) != join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))]]) ).

cnf(refute_0_1497,plain,
    join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1495,refute_0_1496]) ).

cnf(refute_0_1498,plain,
    ( join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) != converse(top)
    | top != join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))))
    | top = join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(converse(top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))))) ),[1,1,1,0],$fot(converse(top))]]) ).

cnf(refute_0_1499,plain,
    ( top != join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))))
    | top = join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(converse(top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),converse(top)) )],[refute_0_1497,refute_0_1498]) ).

cnf(refute_0_1500,plain,
    top = join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(converse(top)))),
    inference(resolve,[$cnf( $equal(top,join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(join(complement(one),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))))) )],[refute_0_1305,refute_0_1499]) ).

cnf(refute_0_1501,plain,
    join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(converse(top)))) = join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(complement(one))),bind(X_51,$fot(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),bind(X_52,$fot(complement(converse(top))))]]) ).

cnf(refute_0_1502,plain,
    ( join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(converse(top)))) != join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | top != join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(converse(top))))
    | top = join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(converse(top))))) ),[1],$fot(join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))]]) ).

cnf(refute_0_1503,plain,
    ( top != join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(converse(top))))
    | top = join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(converse(top)))),join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) )],[refute_0_1501,refute_0_1502]) ).

cnf(refute_0_1504,plain,
    top = join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),
    inference(resolve,[$cnf( $equal(top,join(complement(one),join(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),complement(converse(top))))) )],[refute_0_1500,refute_0_1503]) ).

cnf(refute_0_1505,plain,
    ( top != join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))))]]) ).

cnf(refute_0_1506,plain,
    join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) )],[refute_0_1504,refute_0_1505]) ).

cnf(refute_0_1507,plain,
    ( join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) != top
    | join(one,join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) != join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | join(one,top) = join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))),join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_1508,plain,
    ( join(one,join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) != join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | join(one,top) = join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),top) )],[refute_0_1506,refute_0_1507]) ).

cnf(refute_0_1509,plain,
    join(one,top) = join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),
    inference(resolve,[$cnf( $equal(join(one,join(complement(one),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))),join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) )],[refute_0_1304,refute_0_1508]) ).

cnf(refute_0_1510,plain,
    join(zero,join(zero,X2)) = join(join(zero,zero),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(zero)),bind(X1,$fot(zero))]]) ).

cnf(refute_0_1511,plain,
    join(complement(top),composition(converse(X0),complement(composition(X0,top)))) = complement(top),
    inference(subst,[],[refute_0_12:[bind(X1,$fot(top))]]) ).

cnf(refute_0_1512,plain,
    ( complement(top) != zero
    | join(complement(top),composition(converse(X0),complement(composition(X0,top)))) != complement(top)
    | join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X0),complement(composition(X0,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).

cnf(refute_0_1513,plain,
    ( join(complement(top),composition(converse(X0),complement(composition(X0,top)))) != complement(top)
    | join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_1512]) ).

cnf(refute_0_1514,plain,
    join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X0),complement(composition(X0,top)))),complement(top)) )],[refute_0_1511,refute_0_1513]) ).

cnf(refute_0_1515,plain,
    ( complement(top) != zero
    | join(zero,composition(converse(X0),complement(composition(X0,top)))) != complement(top)
    | join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_1516,plain,
    ( join(zero,composition(converse(X0),complement(composition(X0,top)))) != complement(top)
    | join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_1515]) ).

cnf(refute_0_1517,plain,
    join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),complement(top)) )],[refute_0_1514,refute_0_1516]) ).

cnf(refute_0_1518,plain,
    join(zero,composition(converse(converse(one)),complement(composition(converse(one),top)))) = zero,
    inference(subst,[],[refute_0_1517:[bind(X0,$fot(converse(one)))]]) ).

cnf(refute_0_1519,plain,
    top = composition(converse(one),top),
    inference(subst,[],[refute_0_502:[bind(X_69,$fot(top))]]) ).

cnf(refute_0_1520,plain,
    ( top != composition(converse(one),top)
    | composition(converse(one),top) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(composition(converse(one),top)))]]) ).

cnf(refute_0_1521,plain,
    composition(converse(one),top) = top,
    inference(resolve,[$cnf( $equal(top,composition(converse(one),top)) )],[refute_0_1519,refute_0_1520]) ).

cnf(refute_0_1522,plain,
    ( composition(converse(one),top) != top
    | join(zero,composition(converse(converse(one)),complement(composition(converse(one),top)))) != zero
    | join(zero,composition(converse(converse(one)),complement(top))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(one)),complement(composition(converse(one),top)))),zero) ),[0,1,1,0],$fot(top)]]) ).

cnf(refute_0_1523,plain,
    ( join(zero,composition(converse(converse(one)),complement(composition(converse(one),top)))) != zero
    | join(zero,composition(converse(converse(one)),complement(top))) = zero ),
    inference(resolve,[$cnf( $equal(composition(converse(one),top),top) )],[refute_0_1521,refute_0_1522]) ).

cnf(refute_0_1524,plain,
    join(zero,composition(converse(converse(one)),complement(top))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(one)),complement(composition(converse(one),top)))),zero) )],[refute_0_1518,refute_0_1523]) ).

cnf(refute_0_1525,plain,
    composition(one,zero) = zero,
    inference(subst,[],[refute_0_935:[bind(X_21,$fot(zero))]]) ).

cnf(refute_0_1526,plain,
    composition(one,complement(top)) = composition(one,complement(top)),
    introduced(tautology,[refl,[$fot(composition(one,complement(top)))]]) ).

cnf(refute_0_1527,plain,
    ( complement(top) != zero
    | composition(one,complement(top)) != composition(one,complement(top))
    | composition(one,complement(top)) = composition(one,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(top)),composition(one,complement(top))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1528,plain,
    ( complement(top) != zero
    | composition(one,complement(top)) = composition(one,zero) ),
    inference(resolve,[$cnf( $equal(composition(one,complement(top)),composition(one,complement(top))) )],[refute_0_1526,refute_0_1527]) ).

cnf(refute_0_1529,plain,
    composition(one,complement(top)) = composition(one,zero),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_1528]) ).

cnf(refute_0_1530,plain,
    converse(converse(one)) = one,
    inference(subst,[],[refute_0_0:[bind(X0,$fot(one))]]) ).

cnf(refute_0_1531,plain,
    composition(converse(converse(one)),complement(top)) = composition(converse(converse(one)),complement(top)),
    introduced(tautology,[refl,[$fot(composition(converse(converse(one)),complement(top)))]]) ).

cnf(refute_0_1532,plain,
    ( composition(converse(converse(one)),complement(top)) != composition(converse(converse(one)),complement(top))
    | converse(converse(one)) != one
    | composition(converse(converse(one)),complement(top)) = composition(one,complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(one)),complement(top)),composition(converse(converse(one)),complement(top))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1533,plain,
    ( converse(converse(one)) != one
    | composition(converse(converse(one)),complement(top)) = composition(one,complement(top)) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(top)),composition(converse(converse(one)),complement(top))) )],[refute_0_1531,refute_0_1532]) ).

cnf(refute_0_1534,plain,
    composition(converse(converse(one)),complement(top)) = composition(one,complement(top)),
    inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_1530,refute_0_1533]) ).

cnf(refute_0_1535,plain,
    ( composition(converse(converse(one)),complement(top)) != composition(one,complement(top))
    | composition(one,complement(top)) != composition(one,zero)
    | composition(converse(converse(one)),complement(top)) = composition(one,zero) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(converse(converse(one)),complement(top)))),bind(Y,$fot(composition(one,complement(top)))),bind(Z,$fot(composition(one,zero)))]]) ).

cnf(refute_0_1536,plain,
    ( composition(one,complement(top)) != composition(one,zero)
    | composition(converse(converse(one)),complement(top)) = composition(one,zero) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(top)),composition(one,complement(top))) )],[refute_0_1534,refute_0_1535]) ).

cnf(refute_0_1537,plain,
    composition(converse(converse(one)),complement(top)) = composition(one,zero),
    inference(resolve,[$cnf( $equal(composition(one,complement(top)),composition(one,zero)) )],[refute_0_1529,refute_0_1536]) ).

cnf(refute_0_1538,plain,
    ( composition(converse(converse(one)),complement(top)) != composition(one,zero)
    | composition(one,zero) != zero
    | composition(converse(converse(one)),complement(top)) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(converse(converse(one)),complement(top)))),bind(Y,$fot(composition(one,zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1539,plain,
    ( composition(one,zero) != zero
    | composition(converse(converse(one)),complement(top)) = zero ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(top)),composition(one,zero)) )],[refute_0_1537,refute_0_1538]) ).

cnf(refute_0_1540,plain,
    composition(converse(converse(one)),complement(top)) = zero,
    inference(resolve,[$cnf( $equal(composition(one,zero),zero) )],[refute_0_1525,refute_0_1539]) ).

cnf(refute_0_1541,plain,
    join(zero,composition(converse(converse(one)),complement(top))) = join(zero,composition(converse(converse(one)),complement(top))),
    introduced(tautology,[refl,[$fot(join(zero,composition(converse(converse(one)),complement(top))))]]) ).

cnf(refute_0_1542,plain,
    ( composition(converse(converse(one)),complement(top)) != zero
    | join(zero,composition(converse(converse(one)),complement(top))) != join(zero,composition(converse(converse(one)),complement(top)))
    | join(zero,composition(converse(converse(one)),complement(top))) = join(zero,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(one)),complement(top))),join(zero,composition(converse(converse(one)),complement(top)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1543,plain,
    ( composition(converse(converse(one)),complement(top)) != zero
    | join(zero,composition(converse(converse(one)),complement(top))) = join(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(one)),complement(top))),join(zero,composition(converse(converse(one)),complement(top)))) )],[refute_0_1541,refute_0_1542]) ).

cnf(refute_0_1544,plain,
    join(zero,composition(converse(converse(one)),complement(top))) = join(zero,zero),
    inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(top)),zero) )],[refute_0_1540,refute_0_1543]) ).

cnf(refute_0_1545,plain,
    ( join(zero,composition(converse(converse(one)),complement(top))) != join(zero,zero)
    | join(zero,composition(converse(converse(one)),complement(top))) != zero
    | join(zero,zero) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(one)),complement(top))),zero) ),[0],$fot(join(zero,zero))]]) ).

cnf(refute_0_1546,plain,
    ( join(zero,composition(converse(converse(one)),complement(top))) != zero
    | join(zero,zero) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(one)),complement(top))),join(zero,zero)) )],[refute_0_1544,refute_0_1545]) ).

cnf(refute_0_1547,plain,
    join(zero,zero) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(one)),complement(top))),zero) )],[refute_0_1524,refute_0_1546]) ).

cnf(refute_0_1548,plain,
    ( join(zero,join(zero,X2)) != join(join(zero,zero),X2)
    | join(zero,zero) != zero
    | join(zero,join(zero,X2)) = join(zero,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X2)),join(join(zero,zero),X2)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1549,plain,
    ( join(zero,join(zero,X2)) != join(join(zero,zero),X2)
    | join(zero,join(zero,X2)) = join(zero,X2) ),
    inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_1547,refute_0_1548]) ).

cnf(refute_0_1550,plain,
    join(zero,join(zero,X2)) = join(zero,X2),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,X2)),join(join(zero,zero),X2)) )],[refute_0_1510,refute_0_1549]) ).

cnf(refute_0_1551,plain,
    join(zero,join(zero,complement(converse(complement(one))))) = join(zero,complement(converse(complement(one)))),
    inference(subst,[],[refute_0_1550:[bind(X2,$fot(complement(converse(complement(one)))))]]) ).

cnf(refute_0_1552,plain,
    join(zero,join(zero,join(zero,complement(converse(complement(one)))))) = join(zero,join(zero,complement(converse(complement(one))))),
    inference(subst,[],[refute_0_1550:[bind(X2,$fot(join(zero,complement(converse(complement(one))))))]]) ).

cnf(refute_0_1553,plain,
    ( join(zero,join(zero,complement(converse(complement(one))))) != join(zero,complement(converse(complement(one))))
    | join(zero,join(zero,join(zero,complement(converse(complement(one)))))) != join(zero,join(zero,complement(converse(complement(one)))))
    | join(zero,join(zero,join(zero,complement(converse(complement(one)))))) = join(zero,complement(converse(complement(one)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),bind(Y,$fot(join(zero,join(zero,complement(converse(complement(one))))))),bind(Z,$fot(join(zero,complement(converse(complement(one))))))]]) ).

cnf(refute_0_1554,plain,
    ( join(zero,join(zero,complement(converse(complement(one))))) != join(zero,complement(converse(complement(one))))
    | join(zero,join(zero,join(zero,complement(converse(complement(one)))))) = join(zero,complement(converse(complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),join(zero,join(zero,complement(converse(complement(one)))))) )],[refute_0_1552,refute_0_1553]) ).

cnf(refute_0_1555,plain,
    join(zero,join(zero,join(zero,complement(converse(complement(one)))))) = join(zero,complement(converse(complement(one)))),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,complement(converse(complement(one))))),join(zero,complement(converse(complement(one))))) )],[refute_0_1551,refute_0_1554]) ).

cnf(refute_0_1556,plain,
    join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))) = join(zero,join(zero,join(zero,complement(converse(complement(one)))))),
    inference(subst,[],[refute_0_1550:[bind(X2,$fot(join(zero,join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1557,plain,
    ( join(zero,join(zero,join(zero,complement(converse(complement(one)))))) != join(zero,complement(converse(complement(one))))
    | join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))) != join(zero,join(zero,join(zero,complement(converse(complement(one))))))
    | join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))) = join(zero,complement(converse(complement(one)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),bind(Y,$fot(join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),bind(Z,$fot(join(zero,complement(converse(complement(one))))))]]) ).

cnf(refute_0_1558,plain,
    ( join(zero,join(zero,join(zero,complement(converse(complement(one)))))) != join(zero,complement(converse(complement(one))))
    | join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))) = join(zero,complement(converse(complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))),join(zero,join(zero,join(zero,complement(converse(complement(one))))))) )],[refute_0_1556,refute_0_1557]) ).

cnf(refute_0_1559,plain,
    join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))) = join(zero,complement(converse(complement(one)))),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,join(zero,complement(converse(complement(one)))))),join(zero,complement(converse(complement(one))))) )],[refute_0_1555,refute_0_1558]) ).

cnf(refute_0_1560,plain,
    converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) = converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),
    introduced(tautology,[refl,[$fot(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1561,plain,
    ( converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) != converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))
    | join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))) != join(zero,complement(converse(complement(one))))
    | converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) = converse(join(zero,complement(converse(complement(one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) ),[1,0],$fot(join(zero,complement(converse(complement(one)))))]]) ).

cnf(refute_0_1562,plain,
    ( join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))) != join(zero,complement(converse(complement(one))))
    | converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) = converse(join(zero,complement(converse(complement(one))))) ),
    inference(resolve,[$cnf( $equal(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) )],[refute_0_1560,refute_0_1561]) ).

cnf(refute_0_1563,plain,
    converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) = converse(join(zero,complement(converse(complement(one))))),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))),join(zero,complement(converse(complement(one))))) )],[refute_0_1559,refute_0_1562]) ).

cnf(refute_0_1564,plain,
    join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) = join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),
    introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1565,plain,
    ( converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) != converse(join(zero,complement(converse(complement(one)))))
    | join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) != join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))
    | join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) = join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) ),[1,1],$fot(converse(join(zero,complement(converse(complement(one))))))]]) ).

cnf(refute_0_1566,plain,
    ( converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))) != converse(join(zero,complement(converse(complement(one)))))
    | join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) = join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1564,refute_0_1565]) ).

cnf(refute_0_1567,plain,
    join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) = join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),
    inference(resolve,[$cnf( $equal(converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))),converse(join(zero,complement(converse(complement(one)))))) )],[refute_0_1563,refute_0_1566]) ).

cnf(refute_0_1568,plain,
    join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) = join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),
    introduced(tautology,[refl,[$fot(join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))]]) ).

cnf(refute_0_1569,plain,
    ( join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) != join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))
    | join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) != join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) = join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) ),[1,1],$fot(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1570,plain,
    ( join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))) != join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))
    | join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) = join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) )],[refute_0_1568,refute_0_1569]) ).

cnf(refute_0_1571,plain,
    join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) = join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) )],[refute_0_1567,refute_0_1570]) ).

cnf(refute_0_1572,plain,
    ( join(one,top) != join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))) != join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(one,top) = join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(one,top),join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))) ),[0],$fot(join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))))]]) ).

cnf(refute_0_1573,plain,
    ( join(one,top) != join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))
    | join(one,top) = join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one)))))))))),join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1571,refute_0_1572]) ).

cnf(refute_0_1574,plain,
    join(one,top) = join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(one,top),join(top,join(complement(converse(top)),converse(join(zero,join(zero,join(zero,join(zero,complement(converse(complement(one))))))))))) )],[refute_0_1509,refute_0_1573]) ).

cnf(refute_0_1575,plain,
    ( join(one,top) != join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) = join(one,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1576,plain,
    join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) = join(one,top),
    inference(resolve,[$cnf( $equal(join(one,top),join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1574,refute_0_1575]) ).

cnf(refute_0_1577,plain,
    ( join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) != join(one,top)
    | top != join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))))))
    | top = join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))))))) ),[1,1,1,0],$fot(join(one,top))]]) ).

cnf(refute_0_1578,plain,
    ( top != join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))))))
    | top = join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))),join(one,top)) )],[refute_0_1576,refute_0_1577]) ).

cnf(refute_0_1579,plain,
    top = join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))),
    inference(resolve,[$cnf( $equal(top,join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(top,join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))))))) )],[refute_0_1303,refute_0_1578]) ).

cnf(refute_0_1580,plain,
    join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) = join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(complement(converse(top)))),bind(X_51,$fot(complement(join(one,top)))),bind(X_52,$fot(converse(join(zero,complement(converse(complement(one)))))))]]) ).

cnf(refute_0_1581,plain,
    join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))) = join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))),
    introduced(tautology,[refl,[$fot(join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1582,plain,
    ( join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) != join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))) != join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))) = join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))),join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))))) ),[1,1],$fot(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1583,plain,
    ( join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))) != join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))) = join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))),join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1581,refute_0_1582]) ).

cnf(refute_0_1584,plain,
    join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))) = join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1580,refute_0_1583]) ).

cnf(refute_0_1585,plain,
    join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))) = join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(top)),bind(X_51,$fot(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))),bind(X_52,$fot(complement(join(one,top))))]]) ).

cnf(refute_0_1586,plain,
    ( join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))) != join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))) != join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))) = join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))))),bind(Y,$fot(join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))))),bind(Z,$fot(join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1587,plain,
    ( join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))) != join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))) = join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))),join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1585,refute_0_1586]) ).

cnf(refute_0_1588,plain,
    join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))) = join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(one,top)),join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))))),join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1584,refute_0_1587]) ).

cnf(refute_0_1589,plain,
    ( join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))) != join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | top != join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top))))
    | top = join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top))))) ),[1],$fot(join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1590,plain,
    ( top != join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top))))
    | top = join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top)))),join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1588,refute_0_1589]) ).

cnf(refute_0_1591,plain,
    top = join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(top,join(top,join(join(complement(converse(top)),converse(join(zero,complement(converse(complement(one)))))),complement(join(one,top))))) )],[refute_0_1579,refute_0_1590]) ).

cnf(refute_0_1592,plain,
    ( top != join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1593,plain,
    join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = top,
    inference(resolve,[$cnf( $equal(top,join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1591,refute_0_1592]) ).

cnf(refute_0_1594,plain,
    ( join(X0,join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) != join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != top
    | join(X0,top) = join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_1595,plain,
    ( join(X0,join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) != join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(X0,top) = join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),top) )],[refute_0_1593,refute_0_1594]) ).

cnf(refute_0_1596,plain,
    join(X0,top) = join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),
    inference(resolve,[$cnf( $equal(join(X0,join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1302,refute_0_1595]) ).

cnf(refute_0_1597,plain,
    join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) = join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),
    inference(subst,[],[refute_0_139:[bind(X1,$fot(top)),bind(X2,$fot(join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1598,plain,
    join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),
    introduced(tautology,[refl,[$fot(join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1599,plain,
    ( join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) != join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) ),[1,1],$fot(join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1600,plain,
    ( join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) != join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1598,refute_0_1599]) ).

cnf(refute_0_1601,plain,
    join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),
    inference(resolve,[$cnf( $equal(join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1597,refute_0_1600]) ).

cnf(refute_0_1602,plain,
    join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(complement(converse(top)))),bind(X_51,$fot(join(X0,top))),bind(X_52,$fot(join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1603,plain,
    ( join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))
    | join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))),bind(Y,$fot(join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))),bind(Z,$fot(join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))))]]) ).

cnf(refute_0_1604,plain,
    ( join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))
    | join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1602,refute_0_1603]) ).

cnf(refute_0_1605,plain,
    join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(join(X0,top),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1601,refute_0_1604]) ).

cnf(refute_0_1606,plain,
    ( join(X0,top) != join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))
    | join(X0,top) = join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,top),join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))) ),[0],$fot(join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1607,plain,
    ( join(X0,top) != join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(X0,top) = join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1605,refute_0_1606]) ).

cnf(refute_0_1608,plain,
    join(X0,top) = join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),
    inference(resolve,[$cnf( $equal(join(X0,top),join(join(X0,top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1596,refute_0_1607]) ).

cnf(refute_0_1609,plain,
    join(converse(top),join(complement(converse(top)),X0)) = join(top,X0),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(converse(top))),bind(X_52,$fot(X0))]]) ).

cnf(refute_0_1610,plain,
    join(complement(converse(top)),join(X0,converse(top))) = join(converse(top),join(complement(converse(top)),X0)),
    inference(subst,[],[refute_0_193:[bind(X0,$fot(converse(top))),bind(X_50,$fot(complement(converse(top)))),bind(X_51,$fot(X0))]]) ).

cnf(refute_0_1611,plain,
    ( join(complement(converse(top)),join(X0,converse(top))) != join(converse(top),join(complement(converse(top)),X0))
    | join(converse(top),join(complement(converse(top)),X0)) != join(top,X0)
    | join(complement(converse(top)),join(X0,converse(top))) = join(top,X0) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(converse(top)),join(X0,converse(top))))),bind(Y,$fot(join(converse(top),join(complement(converse(top)),X0)))),bind(Z,$fot(join(top,X0)))]]) ).

cnf(refute_0_1612,plain,
    ( join(converse(top),join(complement(converse(top)),X0)) != join(top,X0)
    | join(complement(converse(top)),join(X0,converse(top))) = join(top,X0) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(X0,converse(top))),join(converse(top),join(complement(converse(top)),X0))) )],[refute_0_1610,refute_0_1611]) ).

cnf(refute_0_1613,plain,
    join(complement(converse(top)),join(X0,converse(top))) = join(top,X0),
    inference(resolve,[$cnf( $equal(join(converse(top),join(complement(converse(top)),X0)),join(top,X0)) )],[refute_0_1609,refute_0_1612]) ).

cnf(refute_0_1614,plain,
    converse(top) = join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))))))),
    inference(subst,[],[refute_0_143:[bind(X_13,$fot(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),bind(X_14,$fot(top))]]) ).

cnf(refute_0_1615,plain,
    ( converse(top) != join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))))))
    | join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != top
    | converse(top) = join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).

cnf(refute_0_1616,plain,
    ( converse(top) != join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))))))
    | converse(top) = join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),top) )],[refute_0_1593,refute_0_1615]) ).

cnf(refute_0_1617,plain,
    converse(top) = join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(join(top,join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))))))) )],[refute_0_1614,refute_0_1616]) ).

cnf(refute_0_1618,plain,
    join(converse(top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(converse(top))),bind(X_52,$fot(join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))]]) ).

cnf(refute_0_1619,plain,
    join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(converse(top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),
    inference(subst,[],[refute_0_228:[bind(X_50,$fot(top)),bind(X_52,$fot(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1620,plain,
    ( join(converse(top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) != join(converse(top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))))),bind(Y,$fot(join(converse(top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))),bind(Z,$fot(join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1621,plain,
    ( join(converse(top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),join(converse(top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1619,refute_0_1620]) ).

cnf(refute_0_1622,plain,
    join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(converse(top),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1618,refute_0_1621]) ).

cnf(refute_0_1623,plain,
    join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))) = join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(top)),bind(X_51,$fot(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),bind(X_52,$fot(converse(complement(converse(top)))))]]) ).

cnf(refute_0_1624,plain,
    ( join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) != join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))) != join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))
    | join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))))),bind(Y,$fot(join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))))),bind(Z,$fot(join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1625,plain,
    ( join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) != join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))),join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1623,refute_0_1624]) ).

cnf(refute_0_1626,plain,
    join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1622,refute_0_1625]) ).

cnf(refute_0_1627,plain,
    join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))) = join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(top)),bind(X_51,$fot(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),bind(X_52,$fot(converse(complement(converse(top)))))]]) ).

cnf(refute_0_1628,plain,
    ( join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))) != join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top)))))
    | join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))) != join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))))),bind(Y,$fot(join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))))),bind(Z,$fot(join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1629,plain,
    ( join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))) != join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))),join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top)))))) )],[refute_0_1627,refute_0_1628]) ).

cnf(refute_0_1630,plain,
    join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(join(top,join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(complement(converse(top))))),join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1626,refute_0_1629]) ).

cnf(refute_0_1631,plain,
    ( converse(top) != join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top)))))
    | join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))) != join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))
    | converse(top) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) ),[0],$fot(join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))))]]) ).

cnf(refute_0_1632,plain,
    ( converse(top) != join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top)))))
    | converse(top) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top))))),join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1630,refute_0_1631]) ).

cnf(refute_0_1633,plain,
    converse(top) = join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(complement(converse(top)),join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),join(top,converse(complement(converse(top)))))) )],[refute_0_1617,refute_0_1632]) ).

cnf(refute_0_1634,plain,
    ( converse(top) != join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))
    | join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1635,plain,
    join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) )],[refute_0_1633,refute_0_1634]) ).

cnf(refute_0_1636,plain,
    join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),
    introduced(tautology,[refl,[$fot(join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))]]) ).

cnf(refute_0_1637,plain,
    ( join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))
    | join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) != converse(top)
    | join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(X0,converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) ),[1,1],$fot(converse(top))]]) ).

cnf(refute_0_1638,plain,
    ( join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))) != converse(top)
    | join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(X0,converse(top)) ),
    inference(resolve,[$cnf( $equal(join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) )],[refute_0_1636,refute_0_1637]) ).

cnf(refute_0_1639,plain,
    join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) = join(X0,converse(top)),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))),converse(top)) )],[refute_0_1635,refute_0_1638]) ).

cnf(refute_0_1640,plain,
    join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),
    introduced(tautology,[refl,[$fot(join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1641,plain,
    ( join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != join(X0,converse(top))
    | join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) != join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))
    | join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(complement(converse(top)),join(X0,converse(top))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))) ),[1,1],$fot(join(X0,converse(top)))]]) ).

cnf(refute_0_1642,plain,
    ( join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))) != join(X0,converse(top))
    | join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(complement(converse(top)),join(X0,converse(top))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1640,refute_0_1641]) ).

cnf(refute_0_1643,plain,
    join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(complement(converse(top)),join(X0,converse(top))),
    inference(resolve,[$cnf( $equal(join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))),join(X0,converse(top))) )],[refute_0_1639,refute_0_1642]) ).

cnf(refute_0_1644,plain,
    ( join(complement(converse(top)),join(X0,converse(top))) != join(top,X0)
    | join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) != join(complement(converse(top)),join(X0,converse(top)))
    | join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(top,X0) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))))),bind(Y,$fot(join(complement(converse(top)),join(X0,converse(top))))),bind(Z,$fot(join(top,X0)))]]) ).

cnf(refute_0_1645,plain,
    ( join(complement(converse(top)),join(X0,converse(top))) != join(top,X0)
    | join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(top,X0) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),join(complement(converse(top)),join(X0,converse(top)))) )],[refute_0_1643,refute_0_1644]) ).

cnf(refute_0_1646,plain,
    join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) = join(top,X0),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(X0,converse(top))),join(top,X0)) )],[refute_0_1613,refute_0_1645]) ).

cnf(refute_0_1647,plain,
    ( join(X0,top) != join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))
    | join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))) != join(top,X0)
    | join(X0,top) = join(top,X0) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,top),join(top,X0)) ),[0],$fot(join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))))]]) ).

cnf(refute_0_1648,plain,
    ( join(X0,top) != join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))
    | join(X0,top) = join(top,X0) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one))))))))),join(top,X0)) )],[refute_0_1646,refute_0_1647]) ).

cnf(refute_0_1649,plain,
    join(X0,top) = join(top,X0),
    inference(resolve,[$cnf( $equal(join(X0,top),join(complement(converse(top)),join(X0,join(top,join(complement(join(one,top)),converse(join(zero,complement(converse(complement(one)))))))))) )],[refute_0_1608,refute_0_1648]) ).

cnf(refute_0_1650,plain,
    join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top) = join(top,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))),
    inference(subst,[],[refute_0_1649:[bind(X0,$fot(join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))]]) ).

cnf(refute_0_1651,plain,
    ( join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top) != join(top,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))
    | join(top,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))) != join(one,join(top,converse(complement(converse(top)))))
    | join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top) = join(one,join(top,converse(complement(converse(top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top))),bind(Y,$fot(join(top,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))),bind(Z,$fot(join(one,join(top,converse(complement(converse(top)))))))]]) ).

cnf(refute_0_1652,plain,
    ( join(top,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))) != join(one,join(top,converse(complement(converse(top)))))
    | join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top) = join(one,join(top,converse(complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top),join(top,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) )],[refute_0_1650,refute_0_1651]) ).

cnf(refute_0_1653,plain,
    join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top) = join(one,join(top,converse(complement(converse(top))))),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))),join(one,join(top,converse(complement(converse(top)))))) )],[refute_0_1301,refute_0_1652]) ).

cnf(refute_0_1654,plain,
    join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) = join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top),
    inference(subst,[],[refute_0_737:[bind(X_50,$fot(join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))]]) ).

cnf(refute_0_1655,plain,
    ( join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top) != join(one,join(top,converse(complement(converse(top)))))
    | join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) != join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top)
    | join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) = join(one,join(top,converse(complement(converse(top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))))),bind(Y,$fot(join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top))),bind(Z,$fot(join(one,join(top,converse(complement(converse(top)))))))]]) ).

cnf(refute_0_1656,plain,
    ( join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top) != join(one,join(top,converse(complement(converse(top)))))
    | join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) = join(one,join(top,converse(complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))),join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top)) )],[refute_0_1654,refute_0_1655]) ).

cnf(refute_0_1657,plain,
    join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) = join(one,join(top,converse(complement(converse(top))))),
    inference(resolve,[$cnf( $equal(join(join(converse(complement(converse(top))),complement(composition(converse(zero),top))),top),join(one,join(top,converse(complement(converse(top)))))) )],[refute_0_1653,refute_0_1656]) ).

cnf(refute_0_1658,plain,
    ( join(one,join(top,converse(complement(converse(top))))) != converse(join(one,top))
    | join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) != join(one,join(top,converse(complement(converse(top)))))
    | join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) = converse(join(one,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))))),bind(Y,$fot(join(one,join(top,converse(complement(converse(top))))))),bind(Z,$fot(converse(join(one,top))))]]) ).

cnf(refute_0_1659,plain,
    ( join(one,join(top,converse(complement(converse(top))))) != converse(join(one,top))
    | join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) = converse(join(one,top)) ),
    inference(resolve,[$cnf( $equal(join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))),join(one,join(top,converse(complement(converse(top)))))) )],[refute_0_1657,refute_0_1658]) ).

cnf(refute_0_1660,plain,
    join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) = converse(join(one,top)),
    inference(resolve,[$cnf( $equal(join(one,join(top,converse(complement(converse(top))))),converse(join(one,top))) )],[refute_0_1021,refute_0_1659]) ).

cnf(refute_0_1661,plain,
    ( join(top,converse(top)) != join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))
    | join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))) != converse(join(one,top))
    | join(top,converse(top)) = converse(join(one,top)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(top,converse(top)),converse(join(one,top))) ),[0],$fot(join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))))]]) ).

cnf(refute_0_1662,plain,
    ( join(top,converse(top)) != join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))
    | join(top,converse(top)) = converse(join(one,top)) ),
    inference(resolve,[$cnf( $equal(join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top))))),converse(join(one,top))) )],[refute_0_1660,refute_0_1661]) ).

cnf(refute_0_1663,plain,
    join(top,converse(top)) = converse(join(one,top)),
    inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,join(zero,join(converse(complement(converse(top))),complement(composition(converse(zero),top)))))) )],[refute_0_1010,refute_0_1662]) ).

cnf(refute_0_1664,plain,
    complement(join(top,converse(top))) = complement(join(top,converse(top))),
    introduced(tautology,[refl,[$fot(complement(join(top,converse(top))))]]) ).

cnf(refute_0_1665,plain,
    ( complement(join(top,converse(top))) != complement(join(top,converse(top)))
    | join(top,converse(top)) != converse(join(one,top))
    | complement(join(top,converse(top))) = complement(converse(join(one,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,converse(top))),complement(join(top,converse(top)))) ),[1,0],$fot(converse(join(one,top)))]]) ).

cnf(refute_0_1666,plain,
    ( join(top,converse(top)) != converse(join(one,top))
    | complement(join(top,converse(top))) = complement(converse(join(one,top))) ),
    inference(resolve,[$cnf( $equal(complement(join(top,converse(top))),complement(join(top,converse(top)))) )],[refute_0_1664,refute_0_1665]) ).

cnf(refute_0_1667,plain,
    complement(join(top,converse(top))) = complement(converse(join(one,top))),
    inference(resolve,[$cnf( $equal(join(top,converse(top)),converse(join(one,top))) )],[refute_0_1663,refute_0_1666]) ).

cnf(refute_0_1668,plain,
    join(converse(top),complement(join(top,converse(top)))) = join(converse(top),complement(join(top,converse(top)))),
    introduced(tautology,[refl,[$fot(join(converse(top),complement(join(top,converse(top)))))]]) ).

cnf(refute_0_1669,plain,
    ( complement(join(top,converse(top))) != complement(converse(join(one,top)))
    | join(converse(top),complement(join(top,converse(top)))) != join(converse(top),complement(join(top,converse(top))))
    | join(converse(top),complement(join(top,converse(top)))) = join(converse(top),complement(converse(join(one,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(join(top,converse(top)))),join(converse(top),complement(join(top,converse(top))))) ),[1,1],$fot(complement(converse(join(one,top))))]]) ).

cnf(refute_0_1670,plain,
    ( complement(join(top,converse(top))) != complement(converse(join(one,top)))
    | join(converse(top),complement(join(top,converse(top)))) = join(converse(top),complement(converse(join(one,top)))) ),
    inference(resolve,[$cnf( $equal(join(converse(top),complement(join(top,converse(top)))),join(converse(top),complement(join(top,converse(top))))) )],[refute_0_1668,refute_0_1669]) ).

cnf(refute_0_1671,plain,
    join(converse(top),complement(join(top,converse(top)))) = join(converse(top),complement(converse(join(one,top)))),
    inference(resolve,[$cnf( $equal(complement(join(top,converse(top))),complement(converse(join(one,top)))) )],[refute_0_1667,refute_0_1670]) ).

cnf(refute_0_1672,plain,
    join(one,join(converse(top),complement(join(top,converse(top))))) = join(one,join(converse(top),complement(join(top,converse(top))))),
    introduced(tautology,[refl,[$fot(join(one,join(converse(top),complement(join(top,converse(top))))))]]) ).

cnf(refute_0_1673,plain,
    ( join(converse(top),complement(join(top,converse(top)))) != join(converse(top),complement(converse(join(one,top))))
    | join(one,join(converse(top),complement(join(top,converse(top))))) != join(one,join(converse(top),complement(join(top,converse(top)))))
    | join(one,join(converse(top),complement(join(top,converse(top))))) = join(one,join(converse(top),complement(converse(join(one,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(top),complement(join(top,converse(top))))),join(one,join(converse(top),complement(join(top,converse(top)))))) ),[1,1],$fot(join(converse(top),complement(converse(join(one,top)))))]]) ).

cnf(refute_0_1674,plain,
    ( join(converse(top),complement(join(top,converse(top)))) != join(converse(top),complement(converse(join(one,top))))
    | join(one,join(converse(top),complement(join(top,converse(top))))) = join(one,join(converse(top),complement(converse(join(one,top))))) ),
    inference(resolve,[$cnf( $equal(join(one,join(converse(top),complement(join(top,converse(top))))),join(one,join(converse(top),complement(join(top,converse(top)))))) )],[refute_0_1672,refute_0_1673]) ).

cnf(refute_0_1675,plain,
    join(one,join(converse(top),complement(join(top,converse(top))))) = join(one,join(converse(top),complement(converse(join(one,top))))),
    inference(resolve,[$cnf( $equal(join(converse(top),complement(join(top,converse(top)))),join(converse(top),complement(converse(join(one,top))))) )],[refute_0_1671,refute_0_1674]) ).

cnf(refute_0_1676,plain,
    ( join(one,join(converse(top),complement(converse(join(one,top))))) != top
    | join(one,join(converse(top),complement(join(top,converse(top))))) != join(one,join(converse(top),complement(converse(join(one,top)))))
    | join(one,join(converse(top),complement(join(top,converse(top))))) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(one,join(converse(top),complement(join(top,converse(top))))))),bind(Y,$fot(join(one,join(converse(top),complement(converse(join(one,top))))))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1677,plain,
    ( join(one,join(converse(top),complement(converse(join(one,top))))) != top
    | join(one,join(converse(top),complement(join(top,converse(top))))) = top ),
    inference(resolve,[$cnf( $equal(join(one,join(converse(top),complement(join(top,converse(top))))),join(one,join(converse(top),complement(converse(join(one,top)))))) )],[refute_0_1675,refute_0_1676]) ).

cnf(refute_0_1678,plain,
    join(one,join(converse(top),complement(join(top,converse(top))))) = top,
    inference(resolve,[$cnf( $equal(join(one,join(converse(top),complement(converse(join(one,top))))),top) )],[refute_0_978,refute_0_1677]) ).

cnf(refute_0_1679,plain,
    ( converse(top) != join(one,join(converse(top),complement(join(top,converse(top)))))
    | join(one,join(converse(top),complement(join(top,converse(top))))) != top
    | converse(top) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(one,join(converse(top),complement(join(top,converse(top))))))]]) ).

cnf(refute_0_1680,plain,
    ( converse(top) != join(one,join(converse(top),complement(join(top,converse(top)))))
    | converse(top) = top ),
    inference(resolve,[$cnf( $equal(join(one,join(converse(top),complement(join(top,converse(top))))),top) )],[refute_0_1678,refute_0_1679]) ).

cnf(refute_0_1681,plain,
    converse(top) = top,
    inference(resolve,[$cnf( $equal(converse(top),join(one,join(converse(top),complement(join(top,converse(top)))))) )],[refute_0_971,refute_0_1680]) ).

cnf(refute_0_1682,plain,
    join(X_50,converse(top)) = join(X_50,converse(top)),
    introduced(tautology,[refl,[$fot(join(X_50,converse(top)))]]) ).

cnf(refute_0_1683,plain,
    ( converse(top) != top
    | join(X_50,converse(top)) != join(X_50,converse(top))
    | join(X_50,converse(top)) = join(X_50,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,converse(top)),join(X_50,converse(top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1684,plain,
    ( converse(top) != top
    | join(X_50,converse(top)) = join(X_50,top) ),
    inference(resolve,[$cnf( $equal(join(X_50,converse(top)),join(X_50,converse(top))) )],[refute_0_1682,refute_0_1683]) ).

cnf(refute_0_1685,plain,
    join(X_50,converse(top)) = join(X_50,top),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1681,refute_0_1684]) ).

cnf(refute_0_1686,plain,
    ( join(X_50,converse(top)) != join(X_50,top)
    | join(X_50,converse(top)) != join(converse(top),X_50)
    | join(X_50,top) = join(converse(top),X_50) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,converse(top)),join(converse(top),X_50)) ),[0],$fot(join(X_50,top))]]) ).

cnf(refute_0_1687,plain,
    ( join(X_50,converse(top)) != join(converse(top),X_50)
    | join(X_50,top) = join(converse(top),X_50) ),
    inference(resolve,[$cnf( $equal(join(X_50,converse(top)),join(X_50,top)) )],[refute_0_1685,refute_0_1686]) ).

cnf(refute_0_1688,plain,
    join(converse(top),X_50) = join(converse(top),X_50),
    introduced(tautology,[refl,[$fot(join(converse(top),X_50))]]) ).

cnf(refute_0_1689,plain,
    ( converse(top) != top
    | join(converse(top),X_50) != join(converse(top),X_50)
    | join(converse(top),X_50) = join(top,X_50) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_50),join(converse(top),X_50)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1690,plain,
    ( converse(top) != top
    | join(converse(top),X_50) = join(top,X_50) ),
    inference(resolve,[$cnf( $equal(join(converse(top),X_50),join(converse(top),X_50)) )],[refute_0_1688,refute_0_1689]) ).

cnf(refute_0_1691,plain,
    join(converse(top),X_50) = join(top,X_50),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1681,refute_0_1690]) ).

cnf(refute_0_1692,plain,
    ( join(X_50,top) != join(converse(top),X_50)
    | join(converse(top),X_50) != join(top,X_50)
    | join(X_50,top) = join(top,X_50) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,top),join(top,X_50)) ),[0],$fot(join(converse(top),X_50))]]) ).

cnf(refute_0_1693,plain,
    ( join(X_50,top) != join(converse(top),X_50)
    | join(X_50,top) = join(top,X_50) ),
    inference(resolve,[$cnf( $equal(join(converse(top),X_50),join(top,X_50)) )],[refute_0_1691,refute_0_1692]) ).

cnf(refute_0_1694,plain,
    ( join(X_50,converse(top)) != join(converse(top),X_50)
    | join(X_50,top) = join(top,X_50) ),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(converse(top),X_50)) )],[refute_0_1687,refute_0_1693]) ).

cnf(refute_0_1695,plain,
    join(X_50,top) = join(top,X_50),
    inference(resolve,[$cnf( $equal(join(X_50,converse(top)),join(converse(top),X_50)) )],[refute_0_240,refute_0_1694]) ).

cnf(refute_0_1696,plain,
    join(join(complement(X_98),meet(X_98,X_98)),top) = join(top,join(zero,join(complement(X_98),meet(X_98,X_98)))),
    inference(subst,[],[refute_0_720:[bind(X_50,$fot(join(complement(X_98),meet(X_98,X_98))))]]) ).

cnf(refute_0_1697,plain,
    top = join(zero,join(meet(X_90,X_90),complement(join(zero,meet(X_90,X_90))))),
    inference(subst,[],[refute_0_295:[bind(X0,$fot(zero)),bind(X_24,$fot(meet(X_90,X_90)))]]) ).

cnf(refute_0_1698,plain,
    X_88 = join(meet(X_88,complement(X_88)),complement(join(complement(X_88),complement(X_88)))),
    inference(subst,[],[refute_0_55:[bind(X0,$fot(X_88)),bind(X1,$fot(complement(X_88)))]]) ).

cnf(refute_0_1699,plain,
    zero = meet(X_88,complement(X_88)),
    inference(subst,[],[refute_0_82:[bind(X0,$fot(X_88))]]) ).

cnf(refute_0_1700,plain,
    ( zero != meet(X_88,complement(X_88))
    | meet(X_88,complement(X_88)) = zero ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_88,complement(X_88))))]]) ).

cnf(refute_0_1701,plain,
    meet(X_88,complement(X_88)) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(X_88,complement(X_88))) )],[refute_0_1699,refute_0_1700]) ).

cnf(refute_0_1702,plain,
    ( X_88 != join(meet(X_88,complement(X_88)),complement(join(complement(X_88),complement(X_88))))
    | meet(X_88,complement(X_88)) != zero
    | X_88 = join(zero,complement(join(complement(X_88),complement(X_88)))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_88,join(meet(X_88,complement(X_88)),complement(join(complement(X_88),complement(X_88))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1703,plain,
    ( X_88 != join(meet(X_88,complement(X_88)),complement(join(complement(X_88),complement(X_88))))
    | X_88 = join(zero,complement(join(complement(X_88),complement(X_88)))) ),
    inference(resolve,[$cnf( $equal(meet(X_88,complement(X_88)),zero) )],[refute_0_1701,refute_0_1702]) ).

cnf(refute_0_1704,plain,
    X_88 = join(zero,complement(join(complement(X_88),complement(X_88)))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,complement(X_88)),complement(join(complement(X_88),complement(X_88))))) )],[refute_0_1698,refute_0_1703]) ).

cnf(refute_0_1705,plain,
    complement(join(complement(X_88),complement(X_88))) = meet(X_88,X_88),
    inference(subst,[],[refute_0_43:[bind(X0,$fot(X_88)),bind(X1,$fot(X_88))]]) ).

cnf(refute_0_1706,plain,
    join(zero,complement(join(complement(X_88),complement(X_88)))) = join(zero,complement(join(complement(X_88),complement(X_88)))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_88),complement(X_88)))))]]) ).

cnf(refute_0_1707,plain,
    ( complement(join(complement(X_88),complement(X_88))) != meet(X_88,X_88)
    | join(zero,complement(join(complement(X_88),complement(X_88)))) != join(zero,complement(join(complement(X_88),complement(X_88))))
    | join(zero,complement(join(complement(X_88),complement(X_88)))) = join(zero,meet(X_88,X_88)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_88),complement(X_88)))),join(zero,complement(join(complement(X_88),complement(X_88))))) ),[1,1],$fot(meet(X_88,X_88))]]) ).

cnf(refute_0_1708,plain,
    ( complement(join(complement(X_88),complement(X_88))) != meet(X_88,X_88)
    | join(zero,complement(join(complement(X_88),complement(X_88)))) = join(zero,meet(X_88,X_88)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_88),complement(X_88)))),join(zero,complement(join(complement(X_88),complement(X_88))))) )],[refute_0_1706,refute_0_1707]) ).

cnf(refute_0_1709,plain,
    join(zero,complement(join(complement(X_88),complement(X_88)))) = join(zero,meet(X_88,X_88)),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_88),complement(X_88))),meet(X_88,X_88)) )],[refute_0_1705,refute_0_1708]) ).

cnf(refute_0_1710,plain,
    ( X_88 != join(zero,complement(join(complement(X_88),complement(X_88))))
    | join(zero,complement(join(complement(X_88),complement(X_88)))) != join(zero,meet(X_88,X_88))
    | X_88 = join(zero,meet(X_88,X_88)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,join(zero,meet(X_88,X_88))) ),[0],$fot(join(zero,complement(join(complement(X_88),complement(X_88)))))]]) ).

cnf(refute_0_1711,plain,
    ( X_88 != join(zero,complement(join(complement(X_88),complement(X_88))))
    | X_88 = join(zero,meet(X_88,X_88)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_88),complement(X_88)))),join(zero,meet(X_88,X_88))) )],[refute_0_1709,refute_0_1710]) ).

cnf(refute_0_1712,plain,
    X_88 = join(zero,meet(X_88,X_88)),
    inference(resolve,[$cnf( $equal(X_88,join(zero,complement(join(complement(X_88),complement(X_88))))) )],[refute_0_1704,refute_0_1711]) ).

cnf(refute_0_1713,plain,
    X_90 = join(zero,meet(X_90,X_90)),
    inference(subst,[],[refute_0_1712:[bind(X_88,$fot(X_90))]]) ).

cnf(refute_0_1714,plain,
    ( X_90 != join(zero,meet(X_90,X_90))
    | join(zero,meet(X_90,X_90)) = X_90 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X_90)),bind(Y,$fot(join(zero,meet(X_90,X_90))))]]) ).

cnf(refute_0_1715,plain,
    join(zero,meet(X_90,X_90)) = X_90,
    inference(resolve,[$cnf( $equal(X_90,join(zero,meet(X_90,X_90))) )],[refute_0_1713,refute_0_1714]) ).

cnf(refute_0_1716,plain,
    ( join(zero,meet(X_90,X_90)) != X_90
    | top != join(zero,join(meet(X_90,X_90),complement(join(zero,meet(X_90,X_90)))))
    | top = join(zero,join(meet(X_90,X_90),complement(X_90))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(meet(X_90,X_90),complement(join(zero,meet(X_90,X_90)))))) ),[1,1,1,0],$fot(X_90)]]) ).

cnf(refute_0_1717,plain,
    ( top != join(zero,join(meet(X_90,X_90),complement(join(zero,meet(X_90,X_90)))))
    | top = join(zero,join(meet(X_90,X_90),complement(X_90))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_90,X_90)),X_90) )],[refute_0_1715,refute_0_1716]) ).

cnf(refute_0_1718,plain,
    top = join(zero,join(meet(X_90,X_90),complement(X_90))),
    inference(resolve,[$cnf( $equal(top,join(zero,join(meet(X_90,X_90),complement(join(zero,meet(X_90,X_90)))))) )],[refute_0_1697,refute_0_1717]) ).

cnf(refute_0_1719,plain,
    join(zero,join(meet(X_90,X_90),complement(X_90))) = join(zero,join(complement(X_90),meet(X_90,X_90))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(zero)),bind(X_51,$fot(meet(X_90,X_90))),bind(X_52,$fot(complement(X_90)))]]) ).

cnf(refute_0_1720,plain,
    ( join(zero,join(meet(X_90,X_90),complement(X_90))) != join(zero,join(complement(X_90),meet(X_90,X_90)))
    | top != join(zero,join(meet(X_90,X_90),complement(X_90)))
    | top = join(zero,join(complement(X_90),meet(X_90,X_90))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(meet(X_90,X_90),complement(X_90)))) ),[1],$fot(join(zero,join(complement(X_90),meet(X_90,X_90))))]]) ).

cnf(refute_0_1721,plain,
    ( top != join(zero,join(meet(X_90,X_90),complement(X_90)))
    | top = join(zero,join(complement(X_90),meet(X_90,X_90))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(X_90,X_90),complement(X_90))),join(zero,join(complement(X_90),meet(X_90,X_90)))) )],[refute_0_1719,refute_0_1720]) ).

cnf(refute_0_1722,plain,
    top = join(zero,join(complement(X_90),meet(X_90,X_90))),
    inference(resolve,[$cnf( $equal(top,join(zero,join(meet(X_90,X_90),complement(X_90)))) )],[refute_0_1718,refute_0_1721]) ).

cnf(refute_0_1723,plain,
    top = join(zero,join(complement(X_98),meet(X_98,X_98))),
    inference(subst,[],[refute_0_1722:[bind(X_90,$fot(X_98))]]) ).

cnf(refute_0_1724,plain,
    ( top != join(zero,join(complement(X_98),meet(X_98,X_98)))
    | join(zero,join(complement(X_98),meet(X_98,X_98))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(complement(X_98),meet(X_98,X_98)))))]]) ).

cnf(refute_0_1725,plain,
    join(zero,join(complement(X_98),meet(X_98,X_98))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,join(complement(X_98),meet(X_98,X_98)))) )],[refute_0_1723,refute_0_1724]) ).

cnf(refute_0_1726,plain,
    ( join(join(complement(X_98),meet(X_98,X_98)),top) != join(top,join(zero,join(complement(X_98),meet(X_98,X_98))))
    | join(zero,join(complement(X_98),meet(X_98,X_98))) != top
    | join(join(complement(X_98),meet(X_98,X_98)),top) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_98),meet(X_98,X_98)),top),join(top,join(zero,join(complement(X_98),meet(X_98,X_98))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1727,plain,
    ( join(join(complement(X_98),meet(X_98,X_98)),top) != join(top,join(zero,join(complement(X_98),meet(X_98,X_98))))
    | join(join(complement(X_98),meet(X_98,X_98)),top) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(X_98),meet(X_98,X_98))),top) )],[refute_0_1725,refute_0_1726]) ).

cnf(refute_0_1728,plain,
    join(join(complement(X_98),meet(X_98,X_98)),top) = join(top,top),
    inference(resolve,[$cnf( $equal(join(join(complement(X_98),meet(X_98,X_98)),top),join(top,join(zero,join(complement(X_98),meet(X_98,X_98))))) )],[refute_0_1696,refute_0_1727]) ).

cnf(refute_0_1729,plain,
    join(X_65,join(complement(X_65),join(complement(X_32),meet(X_65,X_32)))) = join(top,join(complement(X_32),meet(X_65,X_32))),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(X_65)),bind(X_52,$fot(join(complement(X_32),meet(X_65,X_32))))]]) ).

cnf(refute_0_1730,plain,
    top = join(complement(X_65),join(complement(X_32),meet(X_65,X_32))),
    inference(subst,[],[refute_0_1197:[bind(X_31,$fot(X_65))]]) ).

cnf(refute_0_1731,plain,
    ( top != join(complement(X_65),join(complement(X_32),meet(X_65,X_32)))
    | join(complement(X_65),join(complement(X_32),meet(X_65,X_32))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_65),join(complement(X_32),meet(X_65,X_32)))))]]) ).

cnf(refute_0_1732,plain,
    join(complement(X_65),join(complement(X_32),meet(X_65,X_32))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(X_65),join(complement(X_32),meet(X_65,X_32)))) )],[refute_0_1730,refute_0_1731]) ).

cnf(refute_0_1733,plain,
    ( join(X_65,join(complement(X_65),join(complement(X_32),meet(X_65,X_32)))) != join(top,join(complement(X_32),meet(X_65,X_32)))
    | join(complement(X_65),join(complement(X_32),meet(X_65,X_32))) != top
    | join(X_65,top) = join(top,join(complement(X_32),meet(X_65,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_65,join(complement(X_65),join(complement(X_32),meet(X_65,X_32)))),join(top,join(complement(X_32),meet(X_65,X_32)))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_1734,plain,
    ( join(X_65,join(complement(X_65),join(complement(X_32),meet(X_65,X_32)))) != join(top,join(complement(X_32),meet(X_65,X_32)))
    | join(X_65,top) = join(top,join(complement(X_32),meet(X_65,X_32))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_65),join(complement(X_32),meet(X_65,X_32))),top) )],[refute_0_1732,refute_0_1733]) ).

cnf(refute_0_1735,plain,
    join(X_65,top) = join(top,join(complement(X_32),meet(X_65,X_32))),
    inference(resolve,[$cnf( $equal(join(X_65,join(complement(X_65),join(complement(X_32),meet(X_65,X_32)))),join(top,join(complement(X_32),meet(X_65,X_32)))) )],[refute_0_1729,refute_0_1734]) ).

cnf(refute_0_1736,plain,
    ( join(X_65,top) != join(top,join(complement(X_32),meet(X_65,X_32)))
    | join(top,join(complement(X_32),meet(X_65,X_32))) = join(X_65,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_65,top))),bind(Y,$fot(join(top,join(complement(X_32),meet(X_65,X_32)))))]]) ).

cnf(refute_0_1737,plain,
    join(top,join(complement(X_32),meet(X_65,X_32))) = join(X_65,top),
    inference(resolve,[$cnf( $equal(join(X_65,top),join(top,join(complement(X_32),meet(X_65,X_32)))) )],[refute_0_1735,refute_0_1736]) ).

cnf(refute_0_1738,plain,
    join(top,join(complement(X_98),meet(X_98,X_98))) = join(X_98,top),
    inference(subst,[],[refute_0_1737:[bind(X_32,$fot(X_98)),bind(X_65,$fot(X_98))]]) ).

cnf(refute_0_1739,plain,
    join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(join(top,composition(join(one,top),complement(join(one,top)))),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(top)),bind(X1,$fot(composition(join(one,top),complement(join(one,top)))))]]) ).

cnf(refute_0_1740,plain,
    top = join(top,composition(converse(join(one,top)),complement(join(one,top)))),
    inference(subst,[],[refute_0_912:[bind(X_27,$fot(join(one,top)))]]) ).

cnf(refute_0_1741,plain,
    join(join(converse(complement(converse(top))),complement(zero)),top) = join(top,join(zero,join(converse(complement(converse(top))),complement(zero)))),
    inference(subst,[],[refute_0_720:[bind(X_50,$fot(join(converse(complement(converse(top))),complement(zero))))]]) ).

cnf(refute_0_1742,plain,
    converse(top) = join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(join(converse(X_25),converse(complement(converse(converse(X_25))))))))),
    inference(subst,[],[refute_0_262:[bind(X0,$fot(converse(complement(converse(converse(X_25)))))),bind(X_4,$fot(X_25))]]) ).

cnf(refute_0_1743,plain,
    converse(top) = join(converse(X_25),converse(complement(converse(converse(X_25))))),
    inference(subst,[],[refute_0_122:[bind(X_8,$fot(converse(X_25)))]]) ).

cnf(refute_0_1744,plain,
    ( converse(top) != join(converse(X_25),converse(complement(converse(converse(X_25)))))
    | join(converse(X_25),converse(complement(converse(converse(X_25))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X_25),converse(complement(converse(converse(X_25)))))))]]) ).

cnf(refute_0_1745,plain,
    join(converse(X_25),converse(complement(converse(converse(X_25))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(converse(X_25),converse(complement(converse(converse(X_25)))))) )],[refute_0_1743,refute_0_1744]) ).

cnf(refute_0_1746,plain,
    ( converse(top) != join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(join(converse(X_25),converse(complement(converse(converse(X_25)))))))))
    | join(converse(X_25),converse(complement(converse(converse(X_25))))) != converse(top)
    | converse(top) = join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(join(converse(X_25),converse(complement(converse(converse(X_25)))))))))) ),[1,1,0,1,0],$fot(converse(top))]]) ).

cnf(refute_0_1747,plain,
    ( converse(top) != join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(join(converse(X_25),converse(complement(converse(converse(X_25)))))))))
    | converse(top) = join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_25),converse(complement(converse(converse(X_25))))),converse(top)) )],[refute_0_1745,refute_0_1746]) ).

cnf(refute_0_1748,plain,
    converse(top) = join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(join(converse(X_25),converse(complement(converse(converse(X_25)))))))))) )],[refute_0_1742,refute_0_1747]) ).

cnf(refute_0_1749,plain,
    converse(converse(X_25)) = X_25,
    inference(subst,[],[refute_0_0:[bind(X0,$fot(X_25))]]) ).

cnf(refute_0_1750,plain,
    complement(converse(converse(X_25))) = complement(converse(converse(X_25))),
    introduced(tautology,[refl,[$fot(complement(converse(converse(X_25))))]]) ).

cnf(refute_0_1751,plain,
    ( complement(converse(converse(X_25))) != complement(converse(converse(X_25)))
    | converse(converse(X_25)) != X_25
    | complement(converse(converse(X_25))) = complement(X_25) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_25))),complement(converse(converse(X_25)))) ),[1,0],$fot(X_25)]]) ).

cnf(refute_0_1752,plain,
    ( converse(converse(X_25)) != X_25
    | complement(converse(converse(X_25))) = complement(X_25) ),
    inference(resolve,[$cnf( $equal(complement(converse(converse(X_25))),complement(converse(converse(X_25)))) )],[refute_0_1750,refute_0_1751]) ).

cnf(refute_0_1753,plain,
    complement(converse(converse(X_25))) = complement(X_25),
    inference(resolve,[$cnf( $equal(converse(converse(X_25)),X_25) )],[refute_0_1749,refute_0_1752]) ).

cnf(refute_0_1754,plain,
    join(converse(complement(converse(top))),complement(converse(converse(X_25)))) = join(converse(complement(converse(top))),complement(converse(converse(X_25)))),
    introduced(tautology,[refl,[$fot(join(converse(complement(converse(top))),complement(converse(converse(X_25)))))]]) ).

cnf(refute_0_1755,plain,
    ( complement(converse(converse(X_25))) != complement(X_25)
    | join(converse(complement(converse(top))),complement(converse(converse(X_25)))) != join(converse(complement(converse(top))),complement(converse(converse(X_25))))
    | join(converse(complement(converse(top))),complement(converse(converse(X_25)))) = join(converse(complement(converse(top))),complement(X_25)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_25)))),join(converse(complement(converse(top))),complement(converse(converse(X_25))))) ),[1,1],$fot(complement(X_25))]]) ).

cnf(refute_0_1756,plain,
    ( complement(converse(converse(X_25))) != complement(X_25)
    | join(converse(complement(converse(top))),complement(converse(converse(X_25)))) = join(converse(complement(converse(top))),complement(X_25)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_25)))),join(converse(complement(converse(top))),complement(converse(converse(X_25))))) )],[refute_0_1754,refute_0_1755]) ).

cnf(refute_0_1757,plain,
    join(converse(complement(converse(top))),complement(converse(converse(X_25)))) = join(converse(complement(converse(top))),complement(X_25)),
    inference(resolve,[$cnf( $equal(complement(converse(converse(X_25))),complement(X_25)) )],[refute_0_1753,refute_0_1756]) ).

cnf(refute_0_1758,plain,
    converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))) = join(converse(complement(converse(top))),complement(converse(converse(X_25)))),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(complement(converse(converse(X_25))))),bind(X_4,$fot(complement(converse(top))))]]) ).

cnf(refute_0_1759,plain,
    ( converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))) != join(converse(complement(converse(top))),complement(converse(converse(X_25))))
    | join(converse(complement(converse(top))),complement(converse(converse(X_25)))) != join(converse(complement(converse(top))),complement(X_25))
    | converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))) = join(converse(complement(converse(top))),complement(X_25)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))))),bind(Y,$fot(join(converse(complement(converse(top))),complement(converse(converse(X_25)))))),bind(Z,$fot(join(converse(complement(converse(top))),complement(X_25))))]]) ).

cnf(refute_0_1760,plain,
    ( join(converse(complement(converse(top))),complement(converse(converse(X_25)))) != join(converse(complement(converse(top))),complement(X_25))
    | converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))) = join(converse(complement(converse(top))),complement(X_25)) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))),join(converse(complement(converse(top))),complement(converse(converse(X_25))))) )],[refute_0_1758,refute_0_1759]) ).

cnf(refute_0_1761,plain,
    converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))) = join(converse(complement(converse(top))),complement(X_25)),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_25)))),join(converse(complement(converse(top))),complement(X_25))) )],[refute_0_1757,refute_0_1760]) ).

cnf(refute_0_1762,plain,
    join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))) = join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))),
    introduced(tautology,[refl,[$fot(join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))))]]) ).

cnf(refute_0_1763,plain,
    ( converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))) != join(converse(complement(converse(top))),complement(X_25))
    | join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))) != join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))))
    | join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))) = join(X_25,join(converse(complement(converse(top))),complement(X_25))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))),join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))))) ),[1,1],$fot(join(converse(complement(converse(top))),complement(X_25)))]]) ).

cnf(refute_0_1764,plain,
    ( converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))) != join(converse(complement(converse(top))),complement(X_25))
    | join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))) = join(X_25,join(converse(complement(converse(top))),complement(X_25))) ),
    inference(resolve,[$cnf( $equal(join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))),join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))))) )],[refute_0_1762,refute_0_1763]) ).

cnf(refute_0_1765,plain,
    join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))) = join(X_25,join(converse(complement(converse(top))),complement(X_25))),
    inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))),join(converse(complement(converse(top))),complement(X_25))) )],[refute_0_1761,refute_0_1764]) ).

cnf(refute_0_1766,plain,
    join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))) = join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))),
    inference(subst,[],[refute_0_538:[bind(X0,$fot(X_25)),bind(X_13,$fot(complement(converse(top)))),bind(X_14,$fot(converse(complement(converse(converse(X_25))))))]]) ).

cnf(refute_0_1767,plain,
    ( join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))) != join(X_25,join(converse(complement(converse(top))),complement(X_25)))
    | join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))) != join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))))
    | join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))) = join(X_25,join(converse(complement(converse(top))),complement(X_25))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))))),bind(Y,$fot(join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))))),bind(Z,$fot(join(X_25,join(converse(complement(converse(top))),complement(X_25)))))]]) ).

cnf(refute_0_1768,plain,
    ( join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))) != join(X_25,join(converse(complement(converse(top))),complement(X_25)))
    | join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))) = join(X_25,join(converse(complement(converse(top))),complement(X_25))) ),
    inference(resolve,[$cnf( $equal(join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))),join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25)))))))) )],[refute_0_1766,refute_0_1767]) ).

cnf(refute_0_1769,plain,
    join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))) = join(X_25,join(converse(complement(converse(top))),complement(X_25))),
    inference(resolve,[$cnf( $equal(join(X_25,converse(join(complement(converse(top)),converse(complement(converse(converse(X_25))))))),join(X_25,join(converse(complement(converse(top))),complement(X_25)))) )],[refute_0_1765,refute_0_1768]) ).

cnf(refute_0_1770,plain,
    ( converse(top) != join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top)))))
    | join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))) != join(X_25,join(converse(complement(converse(top))),complement(X_25)))
    | converse(top) = join(X_25,join(converse(complement(converse(top))),complement(X_25))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_25,join(converse(complement(converse(top))),complement(X_25)))) ),[0],$fot(join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))))]]) ).

cnf(refute_0_1771,plain,
    ( converse(top) != join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top)))))
    | converse(top) = join(X_25,join(converse(complement(converse(top))),complement(X_25))) ),
    inference(resolve,[$cnf( $equal(join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top))))),join(X_25,join(converse(complement(converse(top))),complement(X_25)))) )],[refute_0_1769,refute_0_1770]) ).

cnf(refute_0_1772,plain,
    converse(top) = join(X_25,join(converse(complement(converse(top))),complement(X_25))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_25,converse(join(converse(complement(converse(converse(X_25)))),complement(converse(top)))))) )],[refute_0_1748,refute_0_1771]) ).

cnf(refute_0_1773,plain,
    converse(top) = join(zero,join(converse(complement(converse(top))),complement(zero))),
    inference(subst,[],[refute_0_1772:[bind(X_25,$fot(zero))]]) ).

cnf(refute_0_1774,plain,
    ( converse(top) != join(zero,join(converse(complement(converse(top))),complement(zero)))
    | join(zero,join(converse(complement(converse(top))),complement(zero))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,join(converse(complement(converse(top))),complement(zero)))))]]) ).

cnf(refute_0_1775,plain,
    join(zero,join(converse(complement(converse(top))),complement(zero))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(zero,join(converse(complement(converse(top))),complement(zero)))) )],[refute_0_1773,refute_0_1774]) ).

cnf(refute_0_1776,plain,
    ( join(join(converse(complement(converse(top))),complement(zero)),top) != join(top,join(zero,join(converse(complement(converse(top))),complement(zero))))
    | join(zero,join(converse(complement(converse(top))),complement(zero))) != converse(top)
    | join(join(converse(complement(converse(top))),complement(zero)),top) = join(top,converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(converse(complement(converse(top))),complement(zero)),top),join(top,join(zero,join(converse(complement(converse(top))),complement(zero))))) ),[1,1],$fot(converse(top))]]) ).

cnf(refute_0_1777,plain,
    ( join(join(converse(complement(converse(top))),complement(zero)),top) != join(top,join(zero,join(converse(complement(converse(top))),complement(zero))))
    | join(join(converse(complement(converse(top))),complement(zero)),top) = join(top,converse(top)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),complement(zero))),converse(top)) )],[refute_0_1775,refute_0_1776]) ).

cnf(refute_0_1778,plain,
    join(join(converse(complement(converse(top))),complement(zero)),top) = join(top,converse(top)),
    inference(resolve,[$cnf( $equal(join(join(converse(complement(converse(top))),complement(zero)),top),join(top,join(zero,join(converse(complement(converse(top))),complement(zero))))) )],[refute_0_1741,refute_0_1777]) ).

cnf(refute_0_1779,plain,
    ( join(X_50,converse(top)) != join(converse(top),X_50)
    | join(converse(top),X_50) = join(X_50,converse(top)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_50,converse(top)))),bind(Y,$fot(join(converse(top),X_50)))]]) ).

cnf(refute_0_1780,plain,
    join(converse(top),X_50) = join(X_50,converse(top)),
    inference(resolve,[$cnf( $equal(join(X_50,converse(top)),join(converse(top),X_50)) )],[refute_0_240,refute_0_1779]) ).

cnf(refute_0_1781,plain,
    join(converse(top),complement(zero)) = join(complement(zero),converse(top)),
    inference(subst,[],[refute_0_1780:[bind(X_50,$fot(complement(zero)))]]) ).

cnf(refute_0_1782,plain,
    join(top,join(converse(complement(converse(top))),complement(zero))) = join(converse(top),complement(zero)),
    inference(subst,[],[refute_0_228:[bind(X_50,$fot(top)),bind(X_52,$fot(complement(zero)))]]) ).

cnf(refute_0_1783,plain,
    ( join(converse(top),complement(zero)) != join(complement(zero),converse(top))
    | join(top,join(converse(complement(converse(top))),complement(zero))) != join(converse(top),complement(zero))
    | join(top,join(converse(complement(converse(top))),complement(zero))) = join(complement(zero),converse(top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(converse(complement(converse(top))),complement(zero))))),bind(Y,$fot(join(converse(top),complement(zero)))),bind(Z,$fot(join(complement(zero),converse(top))))]]) ).

cnf(refute_0_1784,plain,
    ( join(converse(top),complement(zero)) != join(complement(zero),converse(top))
    | join(top,join(converse(complement(converse(top))),complement(zero))) = join(complement(zero),converse(top)) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),complement(zero))),join(converse(top),complement(zero))) )],[refute_0_1782,refute_0_1783]) ).

cnf(refute_0_1785,plain,
    join(top,join(converse(complement(converse(top))),complement(zero))) = join(complement(zero),converse(top)),
    inference(resolve,[$cnf( $equal(join(converse(top),complement(zero)),join(complement(zero),converse(top))) )],[refute_0_1781,refute_0_1784]) ).

cnf(refute_0_1786,plain,
    join(converse(complement(converse(top))),join(top,complement(zero))) = join(top,join(converse(complement(converse(top))),complement(zero))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(top)),bind(X_51,$fot(converse(complement(converse(top))))),bind(X_52,$fot(complement(zero)))]]) ).

cnf(refute_0_1787,plain,
    ( join(converse(complement(converse(top))),join(top,complement(zero))) != join(top,join(converse(complement(converse(top))),complement(zero)))
    | join(top,join(converse(complement(converse(top))),complement(zero))) != join(complement(zero),converse(top))
    | join(converse(complement(converse(top))),join(top,complement(zero))) = join(complement(zero),converse(top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(complement(converse(top))),join(top,complement(zero))))),bind(Y,$fot(join(top,join(converse(complement(converse(top))),complement(zero))))),bind(Z,$fot(join(complement(zero),converse(top))))]]) ).

cnf(refute_0_1788,plain,
    ( join(top,join(converse(complement(converse(top))),complement(zero))) != join(complement(zero),converse(top))
    | join(converse(complement(converse(top))),join(top,complement(zero))) = join(complement(zero),converse(top)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),join(top,complement(zero))),join(top,join(converse(complement(converse(top))),complement(zero)))) )],[refute_0_1786,refute_0_1787]) ).

cnf(refute_0_1789,plain,
    join(converse(complement(converse(top))),join(top,complement(zero))) = join(complement(zero),converse(top)),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),complement(zero))),join(complement(zero),converse(top))) )],[refute_0_1785,refute_0_1788]) ).

cnf(refute_0_1790,plain,
    join(converse(complement(converse(top))),join(complement(zero),top)) = join(converse(complement(converse(top))),join(top,complement(zero))),
    inference(subst,[],[refute_0_756:[bind(X2,$fot(complement(zero))),bind(X_53,$fot(converse(complement(converse(top)))))]]) ).

cnf(refute_0_1791,plain,
    ( join(converse(complement(converse(top))),join(complement(zero),top)) != join(converse(complement(converse(top))),join(top,complement(zero)))
    | join(converse(complement(converse(top))),join(top,complement(zero))) != join(complement(zero),converse(top))
    | join(converse(complement(converse(top))),join(complement(zero),top)) = join(complement(zero),converse(top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(complement(converse(top))),join(complement(zero),top)))),bind(Y,$fot(join(converse(complement(converse(top))),join(top,complement(zero))))),bind(Z,$fot(join(complement(zero),converse(top))))]]) ).

cnf(refute_0_1792,plain,
    ( join(converse(complement(converse(top))),join(top,complement(zero))) != join(complement(zero),converse(top))
    | join(converse(complement(converse(top))),join(complement(zero),top)) = join(complement(zero),converse(top)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),join(complement(zero),top)),join(converse(complement(converse(top))),join(top,complement(zero)))) )],[refute_0_1790,refute_0_1791]) ).

cnf(refute_0_1793,plain,
    join(converse(complement(converse(top))),join(complement(zero),top)) = join(complement(zero),converse(top)),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),join(top,complement(zero))),join(complement(zero),converse(top))) )],[refute_0_1789,refute_0_1792]) ).

cnf(refute_0_1794,plain,
    join(join(converse(complement(converse(top))),complement(zero)),top) = join(converse(complement(converse(top))),join(complement(zero),top)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(converse(complement(converse(top))))),bind(X1,$fot(complement(zero))),bind(X2,$fot(top))]]) ).

cnf(refute_0_1795,plain,
    ( join(converse(complement(converse(top))),join(complement(zero),top)) != join(complement(zero),converse(top))
    | join(join(converse(complement(converse(top))),complement(zero)),top) != join(converse(complement(converse(top))),join(complement(zero),top))
    | join(join(converse(complement(converse(top))),complement(zero)),top) = join(complement(zero),converse(top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(converse(complement(converse(top))),complement(zero)),top))),bind(Y,$fot(join(converse(complement(converse(top))),join(complement(zero),top)))),bind(Z,$fot(join(complement(zero),converse(top))))]]) ).

cnf(refute_0_1796,plain,
    ( join(converse(complement(converse(top))),join(complement(zero),top)) != join(complement(zero),converse(top))
    | join(join(converse(complement(converse(top))),complement(zero)),top) = join(complement(zero),converse(top)) ),
    inference(resolve,[$cnf( $equal(join(join(converse(complement(converse(top))),complement(zero)),top),join(converse(complement(converse(top))),join(complement(zero),top))) )],[refute_0_1794,refute_0_1795]) ).

cnf(refute_0_1797,plain,
    join(join(converse(complement(converse(top))),complement(zero)),top) = join(complement(zero),converse(top)),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),join(complement(zero),top)),join(complement(zero),converse(top))) )],[refute_0_1793,refute_0_1796]) ).

cnf(refute_0_1798,plain,
    ( join(join(converse(complement(converse(top))),complement(zero)),top) != join(complement(zero),converse(top))
    | join(join(converse(complement(converse(top))),complement(zero)),top) != join(top,converse(top))
    | join(complement(zero),converse(top)) = join(top,converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(converse(complement(converse(top))),complement(zero)),top),join(top,converse(top))) ),[0],$fot(join(complement(zero),converse(top)))]]) ).

cnf(refute_0_1799,plain,
    ( join(join(converse(complement(converse(top))),complement(zero)),top) != join(top,converse(top))
    | join(complement(zero),converse(top)) = join(top,converse(top)) ),
    inference(resolve,[$cnf( $equal(join(join(converse(complement(converse(top))),complement(zero)),top),join(complement(zero),converse(top))) )],[refute_0_1797,refute_0_1798]) ).

cnf(refute_0_1800,plain,
    join(complement(zero),converse(top)) = join(top,converse(top)),
    inference(resolve,[$cnf( $equal(join(join(converse(complement(converse(top))),complement(zero)),top),join(top,converse(top))) )],[refute_0_1778,refute_0_1799]) ).

cnf(refute_0_1801,plain,
    ( join(complement(zero),converse(top)) != join(top,converse(top))
    | join(top,converse(top)) != converse(join(one,top))
    | join(complement(zero),converse(top)) = converse(join(one,top)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(zero),converse(top)),converse(join(one,top))) ),[0],$fot(join(top,converse(top)))]]) ).

cnf(refute_0_1802,plain,
    ( join(complement(zero),converse(top)) != join(top,converse(top))
    | join(complement(zero),converse(top)) = converse(join(one,top)) ),
    inference(resolve,[$cnf( $equal(join(top,converse(top)),converse(join(one,top))) )],[refute_0_1663,refute_0_1801]) ).

cnf(refute_0_1803,plain,
    join(complement(zero),converse(top)) = converse(join(one,top)),
    inference(resolve,[$cnf( $equal(join(complement(zero),converse(top)),join(top,converse(top))) )],[refute_0_1800,refute_0_1802]) ).

cnf(refute_0_1804,plain,
    ( join(complement(zero),top) != join(top,complement(zero))
    | join(top,complement(zero)) != join(one,top)
    | join(complement(zero),top) = join(one,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(zero),top))),bind(Y,$fot(join(top,complement(zero)))),bind(Z,$fot(join(one,top)))]]) ).

cnf(refute_0_1805,plain,
    ( join(top,complement(zero)) != join(one,top)
    | join(complement(zero),top) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),top),join(top,complement(zero))) )],[refute_0_1272,refute_0_1804]) ).

cnf(refute_0_1806,plain,
    join(complement(zero),top) = join(one,top),
    inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(one,top)) )],[refute_0_1278,refute_0_1805]) ).

cnf(refute_0_1807,plain,
    join(complement(zero),converse(top)) = join(complement(zero),converse(top)),
    introduced(tautology,[refl,[$fot(join(complement(zero),converse(top)))]]) ).

cnf(refute_0_1808,plain,
    ( converse(top) != top
    | join(complement(zero),converse(top)) != join(complement(zero),converse(top))
    | join(complement(zero),converse(top)) = join(complement(zero),top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),converse(top)),join(complement(zero),converse(top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1809,plain,
    ( converse(top) != top
    | join(complement(zero),converse(top)) = join(complement(zero),top) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),converse(top)),join(complement(zero),converse(top))) )],[refute_0_1807,refute_0_1808]) ).

cnf(refute_0_1810,plain,
    join(complement(zero),converse(top)) = join(complement(zero),top),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1681,refute_0_1809]) ).

cnf(refute_0_1811,plain,
    ( join(complement(zero),converse(top)) != join(complement(zero),top)
    | join(complement(zero),top) != join(one,top)
    | join(complement(zero),converse(top)) = join(one,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(zero),converse(top)))),bind(Y,$fot(join(complement(zero),top))),bind(Z,$fot(join(one,top)))]]) ).

cnf(refute_0_1812,plain,
    ( join(complement(zero),top) != join(one,top)
    | join(complement(zero),converse(top)) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),converse(top)),join(complement(zero),top)) )],[refute_0_1810,refute_0_1811]) ).

cnf(refute_0_1813,plain,
    join(complement(zero),converse(top)) = join(one,top),
    inference(resolve,[$cnf( $equal(join(complement(zero),top),join(one,top)) )],[refute_0_1806,refute_0_1812]) ).

cnf(refute_0_1814,plain,
    ( join(complement(zero),converse(top)) != converse(join(one,top))
    | join(complement(zero),converse(top)) != join(one,top)
    | join(one,top) = converse(join(one,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),converse(top)),converse(join(one,top))) ),[0],$fot(join(one,top))]]) ).

cnf(refute_0_1815,plain,
    ( join(complement(zero),converse(top)) != converse(join(one,top))
    | join(one,top) = converse(join(one,top)) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),converse(top)),join(one,top)) )],[refute_0_1813,refute_0_1814]) ).

cnf(refute_0_1816,plain,
    join(one,top) = converse(join(one,top)),
    inference(resolve,[$cnf( $equal(join(complement(zero),converse(top)),converse(join(one,top))) )],[refute_0_1803,refute_0_1815]) ).

cnf(refute_0_1817,plain,
    ( join(one,top) != converse(join(one,top))
    | converse(join(one,top)) = join(one,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,top))),bind(Y,$fot(converse(join(one,top))))]]) ).

cnf(refute_0_1818,plain,
    converse(join(one,top)) = join(one,top),
    inference(resolve,[$cnf( $equal(join(one,top),converse(join(one,top))) )],[refute_0_1816,refute_0_1817]) ).

cnf(refute_0_1819,plain,
    ( converse(join(one,top)) != join(one,top)
    | top != join(top,composition(converse(join(one,top)),complement(join(one,top))))
    | top = join(top,composition(join(one,top),complement(join(one,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(converse(join(one,top)),complement(join(one,top))))) ),[1,1,0],$fot(join(one,top))]]) ).

cnf(refute_0_1820,plain,
    ( top != join(top,composition(converse(join(one,top)),complement(join(one,top))))
    | top = join(top,composition(join(one,top),complement(join(one,top)))) ),
    inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,top)) )],[refute_0_1818,refute_0_1819]) ).

cnf(refute_0_1821,plain,
    top = join(top,composition(join(one,top),complement(join(one,top)))),
    inference(resolve,[$cnf( $equal(top,join(top,composition(converse(join(one,top)),complement(join(one,top))))) )],[refute_0_1740,refute_0_1820]) ).

cnf(refute_0_1822,plain,
    ( top != join(top,composition(join(one,top),complement(join(one,top))))
    | join(top,composition(join(one,top),complement(join(one,top)))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,composition(join(one,top),complement(join(one,top))))))]]) ).

cnf(refute_0_1823,plain,
    join(top,composition(join(one,top),complement(join(one,top)))) = top,
    inference(resolve,[$cnf( $equal(top,join(top,composition(join(one,top),complement(join(one,top))))) )],[refute_0_1821,refute_0_1822]) ).

cnf(refute_0_1824,plain,
    ( join(top,composition(join(one,top),complement(join(one,top)))) != top
    | join(top,join(composition(join(one,top),complement(join(one,top))),X2)) != join(join(top,composition(join(one,top),complement(join(one,top)))),X2)
    | join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(top,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(composition(join(one,top),complement(join(one,top))),X2)),join(join(top,composition(join(one,top),complement(join(one,top)))),X2)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1825,plain,
    ( join(top,join(composition(join(one,top),complement(join(one,top))),X2)) != join(join(top,composition(join(one,top),complement(join(one,top)))),X2)
    | join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(top,X2) ),
    inference(resolve,[$cnf( $equal(join(top,composition(join(one,top),complement(join(one,top)))),top) )],[refute_0_1823,refute_0_1824]) ).

cnf(refute_0_1826,plain,
    join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(top,X2),
    inference(resolve,[$cnf( $equal(join(top,join(composition(join(one,top),complement(join(one,top))),X2)),join(join(top,composition(join(one,top),complement(join(one,top)))),X2)) )],[refute_0_1739,refute_0_1825]) ).

cnf(refute_0_1827,plain,
    join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) = join(top,join(composition(converse(top),zero),X_50)),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(converse(top))),bind(X_52,$fot(join(composition(converse(top),zero),X_50)))]]) ).

cnf(refute_0_1828,plain,
    ( join(X_50,top) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))) != join(top,join(composition(converse(top),zero),X_50))
    | join(X_50,top) = join(top,join(composition(converse(top),zero),X_50)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,top),join(top,join(composition(converse(top),zero),X_50))) ),[0],$fot(join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))))]]) ).

cnf(refute_0_1829,plain,
    ( join(X_50,top) != join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))
    | join(X_50,top) = join(top,join(composition(converse(top),zero),X_50)) ),
    inference(resolve,[$cnf( $equal(join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50))),join(top,join(composition(converse(top),zero),X_50))) )],[refute_0_1827,refute_0_1828]) ).

cnf(refute_0_1830,plain,
    join(X_50,top) = join(top,join(composition(converse(top),zero),X_50)),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(converse(top),join(complement(converse(top)),join(composition(converse(top),zero),X_50)))) )],[refute_0_692,refute_0_1829]) ).

cnf(refute_0_1831,plain,
    composition(converse(top),zero) = composition(converse(top),zero),
    introduced(tautology,[refl,[$fot(composition(converse(top),zero))]]) ).

cnf(refute_0_1832,plain,
    ( composition(converse(top),zero) != composition(converse(top),zero)
    | converse(top) != top
    | composition(converse(top),zero) = composition(top,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),zero),composition(converse(top),zero)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1833,plain,
    ( converse(top) != top
    | composition(converse(top),zero) = composition(top,zero) ),
    inference(resolve,[$cnf( $equal(composition(converse(top),zero),composition(converse(top),zero)) )],[refute_0_1831,refute_0_1832]) ).

cnf(refute_0_1834,plain,
    composition(converse(top),zero) = composition(top,zero),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1681,refute_0_1833]) ).

cnf(refute_0_1835,plain,
    join(composition(converse(top),zero),X_50) = join(composition(converse(top),zero),X_50),
    introduced(tautology,[refl,[$fot(join(composition(converse(top),zero),X_50))]]) ).

cnf(refute_0_1836,plain,
    ( composition(converse(top),zero) != composition(top,zero)
    | join(composition(converse(top),zero),X_50) != join(composition(converse(top),zero),X_50)
    | join(composition(converse(top),zero),X_50) = join(composition(top,zero),X_50) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(top),zero),X_50),join(composition(converse(top),zero),X_50)) ),[1,0],$fot(composition(top,zero))]]) ).

cnf(refute_0_1837,plain,
    ( composition(converse(top),zero) != composition(top,zero)
    | join(composition(converse(top),zero),X_50) = join(composition(top,zero),X_50) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),X_50),join(composition(converse(top),zero),X_50)) )],[refute_0_1835,refute_0_1836]) ).

cnf(refute_0_1838,plain,
    join(composition(converse(top),zero),X_50) = join(composition(top,zero),X_50),
    inference(resolve,[$cnf( $equal(composition(converse(top),zero),composition(top,zero)) )],[refute_0_1834,refute_0_1837]) ).

cnf(refute_0_1839,plain,
    join(top,join(composition(converse(top),zero),X_50)) = join(top,join(composition(converse(top),zero),X_50)),
    introduced(tautology,[refl,[$fot(join(top,join(composition(converse(top),zero),X_50)))]]) ).

cnf(refute_0_1840,plain,
    ( join(composition(converse(top),zero),X_50) != join(composition(top,zero),X_50)
    | join(top,join(composition(converse(top),zero),X_50)) != join(top,join(composition(converse(top),zero),X_50))
    | join(top,join(composition(converse(top),zero),X_50)) = join(top,join(composition(top,zero),X_50)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(composition(converse(top),zero),X_50)),join(top,join(composition(converse(top),zero),X_50))) ),[1,1],$fot(join(composition(top,zero),X_50))]]) ).

cnf(refute_0_1841,plain,
    ( join(composition(converse(top),zero),X_50) != join(composition(top,zero),X_50)
    | join(top,join(composition(converse(top),zero),X_50)) = join(top,join(composition(top,zero),X_50)) ),
    inference(resolve,[$cnf( $equal(join(top,join(composition(converse(top),zero),X_50)),join(top,join(composition(converse(top),zero),X_50))) )],[refute_0_1839,refute_0_1840]) ).

cnf(refute_0_1842,plain,
    join(top,join(composition(converse(top),zero),X_50)) = join(top,join(composition(top,zero),X_50)),
    inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),X_50),join(composition(top,zero),X_50)) )],[refute_0_1838,refute_0_1841]) ).

cnf(refute_0_1843,plain,
    ( join(X_50,top) != join(top,join(composition(converse(top),zero),X_50))
    | join(top,join(composition(converse(top),zero),X_50)) != join(top,join(composition(top,zero),X_50))
    | join(X_50,top) = join(top,join(composition(top,zero),X_50)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_50,top),join(top,join(composition(top,zero),X_50))) ),[0],$fot(join(top,join(composition(converse(top),zero),X_50)))]]) ).

cnf(refute_0_1844,plain,
    ( join(X_50,top) != join(top,join(composition(converse(top),zero),X_50))
    | join(X_50,top) = join(top,join(composition(top,zero),X_50)) ),
    inference(resolve,[$cnf( $equal(join(top,join(composition(converse(top),zero),X_50)),join(top,join(composition(top,zero),X_50))) )],[refute_0_1842,refute_0_1843]) ).

cnf(refute_0_1845,plain,
    join(X_50,top) = join(top,join(composition(top,zero),X_50)),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(top,join(composition(converse(top),zero),X_50))) )],[refute_0_1830,refute_0_1844]) ).

cnf(refute_0_1846,plain,
    ( join(X_50,top) != join(top,join(composition(top,zero),X_50))
    | join(top,join(composition(top,zero),X_50)) = join(X_50,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_50,top))),bind(Y,$fot(join(top,join(composition(top,zero),X_50))))]]) ).

cnf(refute_0_1847,plain,
    join(top,join(composition(top,zero),X_50)) = join(X_50,top),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(top,join(composition(top,zero),X_50))) )],[refute_0_1845,refute_0_1846]) ).

cnf(refute_0_1848,plain,
    join(top,join(composition(top,zero),X2)) = join(X2,top),
    inference(subst,[],[refute_0_1847:[bind(X_50,$fot(X2))]]) ).

cnf(refute_0_1849,plain,
    converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) = converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))),bind(X1,$fot(top))]]) ).

cnf(refute_0_1850,plain,
    top = join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))))),
    inference(subst,[],[refute_0_295:[bind(X0,$fot(top)),bind(X_24,$fot(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_1851,plain,
    join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) = join(top,join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))),
    inference(subst,[],[refute_0_720:[bind(X_50,$fot(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_1852,plain,
    join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),X_52)) = join(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),X_52),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(zero)),bind(X1,$fot(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),bind(X2,$fot(X_52))]]) ).

cnf(refute_0_1853,plain,
    join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(composition(skolemFOFtoCNF_X1,top)))) = complement(top),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(top))]]) ).

cnf(refute_0_1854,plain,
    composition(skolemFOFtoCNF_X1,top) = skolemFOFtoCNF_X1,
    inference(canonicalize,[],[normalize_0_28]) ).

cnf(refute_0_1855,plain,
    ( composition(skolemFOFtoCNF_X1,top) != skolemFOFtoCNF_X1
    | join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(composition(skolemFOFtoCNF_X1,top)))) != complement(top)
    | join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(composition(skolemFOFtoCNF_X1,top)))),complement(top)) ),[0,1,1,0],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_1856,plain,
    ( join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(composition(skolemFOFtoCNF_X1,top)))) != complement(top)
    | join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top) ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,top),skolemFOFtoCNF_X1) )],[refute_0_1854,refute_0_1855]) ).

cnf(refute_0_1857,plain,
    join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(composition(skolemFOFtoCNF_X1,top)))),complement(top)) )],[refute_0_1853,refute_0_1856]) ).

cnf(refute_0_1858,plain,
    join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),
    introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_1859,plain,
    ( complement(top) != zero
    | join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))
    | join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1860,plain,
    ( complement(top) != zero
    | join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) )],[refute_0_1858,refute_0_1859]) ).

cnf(refute_0_1861,plain,
    join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_1860]) ).

cnf(refute_0_1862,plain,
    ( join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
    | join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))
    | join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) ),[0],$fot(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_1863,plain,
    ( join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
    | join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top) ),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) )],[refute_0_1861,refute_0_1862]) ).

cnf(refute_0_1864,plain,
    ( complement(top) != zero
    | join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
    | join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_1865,plain,
    ( join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
    | join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_1864]) ).

cnf(refute_0_1866,plain,
    ( join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
    | join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) )],[refute_0_1863,refute_0_1865]) ).

cnf(refute_0_1867,plain,
    join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero,
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) )],[refute_0_1857,refute_0_1866]) ).

cnf(refute_0_1868,plain,
    ( join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != zero
    | join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),X_52)) != join(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),X_52)
    | join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),X_52)) = join(zero,X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),X_52)),join(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),X_52)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1869,plain,
    ( join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),X_52)) != join(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),X_52)
    | join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),X_52)) = join(zero,X_52) ),
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),zero) )],[refute_0_1867,refute_0_1868]) ).

cnf(refute_0_1870,plain,
    join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),X_52)) = join(zero,X_52),
    inference(resolve,[$cnf( $equal(join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),X_52)),join(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),X_52)) )],[refute_0_1852,refute_0_1869]) ).

cnf(refute_0_1871,plain,
    join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) = join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),
    inference(subst,[],[refute_0_1870:[bind(X_52,$fot(converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))))]]) ).

cnf(refute_0_1872,plain,
    converse(top) = join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),
    inference(subst,[],[refute_0_122:[bind(X_8,$fot(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_1873,plain,
    ( converse(top) != join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))))]]) ).

cnf(refute_0_1874,plain,
    join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) )],[refute_0_1872,refute_0_1873]) ).

cnf(refute_0_1875,plain,
    ( join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) != converse(top)
    | join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) != join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | join(zero,converse(top)) = join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))),join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) ),[0,1],$fot(converse(top))]]) ).

cnf(refute_0_1876,plain,
    ( join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) != join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | join(zero,converse(top)) = join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),converse(top)) )],[refute_0_1874,refute_0_1875]) ).

cnf(refute_0_1877,plain,
    join(zero,converse(top)) = join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),
    inference(resolve,[$cnf( $equal(join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))),join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) )],[refute_0_1871,refute_0_1876]) ).

cnf(refute_0_1878,plain,
    join(join(zero,converse(complement(converse(top)))),top) = join(top,join(zero,converse(complement(converse(top))))),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(zero,converse(complement(converse(top)))))),bind(X1,$fot(top))]]) ).

cnf(refute_0_1879,plain,
    converse(top) = join(top,join(converse(complement(converse(top))),complement(top))),
    inference(subst,[],[refute_0_1772:[bind(X_25,$fot(top))]]) ).

cnf(refute_0_1880,plain,
    ( complement(top) != zero
    | converse(top) != join(top,join(converse(complement(converse(top))),complement(top)))
    | converse(top) = join(top,join(converse(complement(converse(top))),zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(top,join(converse(complement(converse(top))),complement(top)))) ),[1,1,1],$fot(zero)]]) ).

cnf(refute_0_1881,plain,
    ( converse(top) != join(top,join(converse(complement(converse(top))),complement(top)))
    | converse(top) = join(top,join(converse(complement(converse(top))),zero)) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_1880]) ).

cnf(refute_0_1882,plain,
    converse(top) = join(top,join(converse(complement(converse(top))),zero)),
    inference(resolve,[$cnf( $equal(converse(top),join(top,join(converse(complement(converse(top))),complement(top)))) )],[refute_0_1879,refute_0_1881]) ).

cnf(refute_0_1883,plain,
    join(converse(complement(converse(top))),zero) = join(zero,converse(complement(converse(top)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(zero)),bind(X1,$fot(converse(complement(converse(top)))))]]) ).

cnf(refute_0_1884,plain,
    join(top,join(converse(complement(converse(top))),zero)) = join(top,join(converse(complement(converse(top))),zero)),
    introduced(tautology,[refl,[$fot(join(top,join(converse(complement(converse(top))),zero)))]]) ).

cnf(refute_0_1885,plain,
    ( join(converse(complement(converse(top))),zero) != join(zero,converse(complement(converse(top))))
    | join(top,join(converse(complement(converse(top))),zero)) != join(top,join(converse(complement(converse(top))),zero))
    | join(top,join(converse(complement(converse(top))),zero)) = join(top,join(zero,converse(complement(converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(complement(converse(top))),zero)),join(top,join(converse(complement(converse(top))),zero))) ),[1,1],$fot(join(zero,converse(complement(converse(top)))))]]) ).

cnf(refute_0_1886,plain,
    ( join(converse(complement(converse(top))),zero) != join(zero,converse(complement(converse(top))))
    | join(top,join(converse(complement(converse(top))),zero)) = join(top,join(zero,converse(complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),zero)),join(top,join(converse(complement(converse(top))),zero))) )],[refute_0_1884,refute_0_1885]) ).

cnf(refute_0_1887,plain,
    join(top,join(converse(complement(converse(top))),zero)) = join(top,join(zero,converse(complement(converse(top))))),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),zero),join(zero,converse(complement(converse(top))))) )],[refute_0_1883,refute_0_1886]) ).

cnf(refute_0_1888,plain,
    ( converse(top) != join(top,join(converse(complement(converse(top))),zero))
    | join(top,join(converse(complement(converse(top))),zero)) != join(top,join(zero,converse(complement(converse(top)))))
    | converse(top) = join(top,join(zero,converse(complement(converse(top))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,join(zero,converse(complement(converse(top)))))) ),[0],$fot(join(top,join(converse(complement(converse(top))),zero)))]]) ).

cnf(refute_0_1889,plain,
    ( converse(top) != join(top,join(converse(complement(converse(top))),zero))
    | converse(top) = join(top,join(zero,converse(complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),zero)),join(top,join(zero,converse(complement(converse(top)))))) )],[refute_0_1887,refute_0_1888]) ).

cnf(refute_0_1890,plain,
    converse(top) = join(top,join(zero,converse(complement(converse(top))))),
    inference(resolve,[$cnf( $equal(converse(top),join(top,join(converse(complement(converse(top))),zero))) )],[refute_0_1882,refute_0_1889]) ).

cnf(refute_0_1891,plain,
    ( converse(top) != join(top,join(zero,converse(complement(converse(top)))))
    | join(top,join(zero,converse(complement(converse(top))))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,join(zero,converse(complement(converse(top)))))))]]) ).

cnf(refute_0_1892,plain,
    join(top,join(zero,converse(complement(converse(top))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(top,join(zero,converse(complement(converse(top)))))) )],[refute_0_1890,refute_0_1891]) ).

cnf(refute_0_1893,plain,
    ( join(join(zero,converse(complement(converse(top)))),top) != join(top,join(zero,converse(complement(converse(top)))))
    | join(top,join(zero,converse(complement(converse(top))))) != converse(top)
    | join(join(zero,converse(complement(converse(top)))),top) = converse(top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(join(zero,converse(complement(converse(top)))),top),converse(top)) ),[0],$fot(join(top,join(zero,converse(complement(converse(top))))))]]) ).

cnf(refute_0_1894,plain,
    ( join(join(zero,converse(complement(converse(top)))),top) != join(top,join(zero,converse(complement(converse(top)))))
    | join(join(zero,converse(complement(converse(top)))),top) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(top,join(zero,converse(complement(converse(top))))),converse(top)) )],[refute_0_1892,refute_0_1893]) ).

cnf(refute_0_1895,plain,
    join(join(zero,converse(complement(converse(top)))),top) = converse(top),
    inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),join(top,join(zero,converse(complement(converse(top)))))) )],[refute_0_1878,refute_0_1894]) ).

cnf(refute_0_1896,plain,
    join(converse(complement(converse(top))),top) = join(top,converse(complement(converse(top)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(top)),bind(X1,$fot(converse(complement(converse(top)))))]]) ).

cnf(refute_0_1897,plain,
    ( join(converse(complement(converse(top))),top) != join(top,converse(complement(converse(top))))
    | join(top,converse(complement(converse(top)))) != converse(top)
    | join(converse(complement(converse(top))),top) = converse(top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(complement(converse(top))),top))),bind(Y,$fot(join(top,converse(complement(converse(top)))))),bind(Z,$fot(converse(top)))]]) ).

cnf(refute_0_1898,plain,
    ( join(top,converse(complement(converse(top)))) != converse(top)
    | join(converse(complement(converse(top))),top) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),top),join(top,converse(complement(converse(top))))) )],[refute_0_1896,refute_0_1897]) ).

cnf(refute_0_1899,plain,
    join(converse(complement(converse(top))),top) = converse(top),
    inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_1014,refute_0_1898]) ).

cnf(refute_0_1900,plain,
    join(zero,join(converse(complement(converse(top))),top)) = join(zero,join(converse(complement(converse(top))),top)),
    introduced(tautology,[refl,[$fot(join(zero,join(converse(complement(converse(top))),top)))]]) ).

cnf(refute_0_1901,plain,
    ( join(converse(complement(converse(top))),top) != converse(top)
    | join(zero,join(converse(complement(converse(top))),top)) != join(zero,join(converse(complement(converse(top))),top))
    | join(zero,join(converse(complement(converse(top))),top)) = join(zero,converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),top)),join(zero,join(converse(complement(converse(top))),top))) ),[1,1],$fot(converse(top))]]) ).

cnf(refute_0_1902,plain,
    ( join(converse(complement(converse(top))),top) != converse(top)
    | join(zero,join(converse(complement(converse(top))),top)) = join(zero,converse(top)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),top)),join(zero,join(converse(complement(converse(top))),top))) )],[refute_0_1900,refute_0_1901]) ).

cnf(refute_0_1903,plain,
    join(zero,join(converse(complement(converse(top))),top)) = join(zero,converse(top)),
    inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),top),converse(top)) )],[refute_0_1899,refute_0_1902]) ).

cnf(refute_0_1904,plain,
    join(join(zero,converse(complement(converse(top)))),top) = join(zero,join(converse(complement(converse(top))),top)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(zero)),bind(X1,$fot(converse(complement(converse(top))))),bind(X2,$fot(top))]]) ).

cnf(refute_0_1905,plain,
    ( join(join(zero,converse(complement(converse(top)))),top) != join(zero,join(converse(complement(converse(top))),top))
    | join(zero,join(converse(complement(converse(top))),top)) != join(zero,converse(top))
    | join(join(zero,converse(complement(converse(top)))),top) = join(zero,converse(top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(zero,converse(complement(converse(top)))),top))),bind(Y,$fot(join(zero,join(converse(complement(converse(top))),top)))),bind(Z,$fot(join(zero,converse(top))))]]) ).

cnf(refute_0_1906,plain,
    ( join(zero,join(converse(complement(converse(top))),top)) != join(zero,converse(top))
    | join(join(zero,converse(complement(converse(top)))),top) = join(zero,converse(top)) ),
    inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),join(zero,join(converse(complement(converse(top))),top))) )],[refute_0_1904,refute_0_1905]) ).

cnf(refute_0_1907,plain,
    join(join(zero,converse(complement(converse(top)))),top) = join(zero,converse(top)),
    inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),top)),join(zero,converse(top))) )],[refute_0_1903,refute_0_1906]) ).

cnf(refute_0_1908,plain,
    ( join(join(zero,converse(complement(converse(top)))),top) != converse(top)
    | join(join(zero,converse(complement(converse(top)))),top) != join(zero,converse(top))
    | join(zero,converse(top)) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),converse(top)) ),[0],$fot(join(zero,converse(top)))]]) ).

cnf(refute_0_1909,plain,
    ( join(join(zero,converse(complement(converse(top)))),top) != converse(top)
    | join(zero,converse(top)) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),join(zero,converse(top))) )],[refute_0_1907,refute_0_1908]) ).

cnf(refute_0_1910,plain,
    join(zero,converse(top)) = converse(top),
    inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),converse(top)) )],[refute_0_1895,refute_0_1909]) ).

cnf(refute_0_1911,plain,
    ( join(zero,converse(top)) != converse(top)
    | join(zero,converse(top)) != join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | converse(top) = join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,converse(top)),join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) ),[0],$fot(converse(top))]]) ).

cnf(refute_0_1912,plain,
    ( join(zero,converse(top)) != join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | converse(top) = join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_0_1910,refute_0_1911]) ).

cnf(refute_0_1913,plain,
    converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),
    inference(subst,[],[refute_0_308:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X_16,$fot(complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_1914,plain,
    complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),
    introduced(tautology,[refl,[$fot(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_1915,plain,
    ( complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
    | complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) ),[1,0],$fot(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_1916,plain,
    ( converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
    | complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) )],[refute_0_1914,refute_0_1915]) ).

cnf(refute_0_1917,plain,
    complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)) )],[refute_0_1913,refute_0_1916]) ).

cnf(refute_0_1918,plain,
    converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) = converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),
    introduced(tautology,[refl,[$fot(converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))]]) ).

cnf(refute_0_1919,plain,
    ( complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))
    | converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) != converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))
    | converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) = converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) ),[1,0],$fot(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_1920,plain,
    ( complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))
    | converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) = converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) )],[refute_0_1918,refute_0_1919]) ).

cnf(refute_0_1921,plain,
    converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) = converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) )],[refute_0_1917,refute_0_1920]) ).

cnf(refute_0_1922,plain,
    join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) = join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),
    introduced(tautology,[refl,[$fot(join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))))]]) ).

cnf(refute_0_1923,plain,
    ( converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) != converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) != join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) = join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) ),[1,1],$fot(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_1924,plain,
    ( converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) != converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) = join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) )],[refute_0_1922,refute_0_1923]) ).

cnf(refute_0_1925,plain,
    join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) = join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) )],[refute_0_1921,refute_0_1924]) ).

cnf(refute_0_1926,plain,
    ( converse(top) != join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) != join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))
    | converse(top) = join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) ),[0],$fot(join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))))]]) ).

cnf(refute_0_1927,plain,
    ( converse(top) != join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | converse(top) = join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) )],[refute_0_1925,refute_0_1926]) ).

cnf(refute_0_1928,plain,
    ( join(zero,converse(top)) != join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | converse(top) = join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) ),
    inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) )],[refute_0_1912,refute_0_1927]) ).

cnf(refute_0_1929,plain,
    converse(top) = join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),
    inference(resolve,[$cnf( $equal(join(zero,converse(top)),join(zero,converse(complement(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) )],[refute_0_1877,refute_0_1928]) ).

cnf(refute_0_1930,plain,
    ( converse(top) != join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))
    | join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) = converse(top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))))]]) ).

cnf(refute_0_1931,plain,
    join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) )],[refute_0_1929,refute_0_1930]) ).

cnf(refute_0_1932,plain,
    ( join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) != join(top,join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))
    | join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) != converse(top)
    | join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) = join(top,converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top),join(top,join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) ),[1,1],$fot(converse(top))]]) ).

cnf(refute_0_1933,plain,
    ( join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) != join(top,join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))
    | join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) = join(top,converse(top)) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),converse(top)) )],[refute_0_1931,refute_0_1932]) ).

cnf(refute_0_1934,plain,
    join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) = join(top,converse(top)),
    inference(resolve,[$cnf( $equal(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top),join(top,join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) )],[refute_0_1851,refute_0_1933]) ).

cnf(refute_0_1935,plain,
    join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) = join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(top)),bind(X1,$fot(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_1936,plain,
    ( join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) != join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))
    | join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) != join(top,converse(top))
    | join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) = join(top,converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top),join(top,converse(top))) ),[0],$fot(join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_1937,plain,
    ( join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) != join(top,converse(top))
    | join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) = join(top,converse(top)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top),join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) )],[refute_0_1935,refute_0_1936]) ).

cnf(refute_0_1938,plain,
    join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) = join(top,converse(top)),
    inference(resolve,[$cnf( $equal(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top),join(top,converse(top))) )],[refute_0_1934,refute_0_1937]) ).

cnf(refute_0_1939,plain,
    ( join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) != join(top,converse(top))
    | top != join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))))
    | top = join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))))) ),[1,1,1,0],$fot(join(top,converse(top)))]]) ).

cnf(refute_0_1940,plain,
    ( top != join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))))
    | top = join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),join(top,converse(top))) )],[refute_0_1938,refute_0_1939]) ).

cnf(refute_0_1941,plain,
    top = join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(top))))),
    inference(resolve,[$cnf( $equal(top,join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))))) )],[refute_0_1850,refute_0_1940]) ).

cnf(refute_0_1942,plain,
    join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(top))))) = join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(top)),bind(X_51,$fot(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))),bind(X_52,$fot(complement(join(top,converse(top)))))]]) ).

cnf(refute_0_1943,plain,
    ( join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(top))))) != join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))
    | top != join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(top)))))
    | top = join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(top)))))) ),[1],$fot(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))))]]) ).

cnf(refute_0_1944,plain,
    ( top != join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(top)))))
    | top = join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) ),
    inference(resolve,[$cnf( $equal(join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(top))))),join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) )],[refute_0_1942,refute_0_1943]) ).

cnf(refute_0_1945,plain,
    top = join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))),
    inference(resolve,[$cnf( $equal(top,join(top,join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),complement(join(top,converse(top)))))) )],[refute_0_1941,refute_0_1944]) ).

cnf(refute_0_1946,plain,
    ( top != join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))
    | join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))))]]) ).

cnf(refute_0_1947,plain,
    join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) = top,
    inference(resolve,[$cnf( $equal(top,join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) )],[refute_0_1945,refute_0_1946]) ).

cnf(refute_0_1948,plain,
    ( converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) != converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))))
    | join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) != top
    | converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)),converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1949,plain,
    ( converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) != converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))))
    | converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))),top) )],[refute_0_1947,refute_0_1948]) ).

cnf(refute_0_1950,plain,
    converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) = converse(top),
    inference(resolve,[$cnf( $equal(converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)),converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))))) )],[refute_0_1849,refute_0_1949]) ).

cnf(refute_0_1951,plain,
    join(converse(join(top,complement(join(top,converse(top))))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),bind(X1,$fot(converse(join(top,complement(join(top,converse(top)))))))]]) ).

cnf(refute_0_1952,plain,
    converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) = join(converse(join(top,complement(join(top,converse(top))))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),
    inference(subst,[],[refute_0_368:[bind(X0,$fot(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),bind(X_50,$fot(top)),bind(X_51,$fot(complement(join(top,converse(top)))))]]) ).

cnf(refute_0_1953,plain,
    ( converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) != join(converse(join(top,complement(join(top,converse(top))))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | join(converse(join(top,complement(join(top,converse(top))))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))
    | converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))))),bind(Y,$fot(join(converse(join(top,complement(join(top,converse(top))))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))),bind(Z,$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))))]]) ).

cnf(refute_0_1954,plain,
    ( join(converse(join(top,complement(join(top,converse(top))))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))
    | converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) ),
    inference(resolve,[$cnf( $equal(converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))),join(converse(join(top,complement(join(top,converse(top))))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) )],[refute_0_1952,refute_0_1953]) ).

cnf(refute_0_1955,plain,
    converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))),
    inference(resolve,[$cnf( $equal(join(converse(join(top,complement(join(top,converse(top))))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))) )],[refute_0_1951,refute_0_1954]) ).

cnf(refute_0_1956,plain,
    ( converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) != converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))))
    | converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))
    | converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)))),bind(Y,$fot(converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))))),bind(Z,$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))))]]) ).

cnf(refute_0_1957,plain,
    ( converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))
    | converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) ),
    inference(resolve,[$cnf( $equal(converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)),converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))))) )],[refute_0_1849,refute_0_1956]) ).

cnf(refute_0_1958,plain,
    converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(join(top,join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))) )],[refute_0_1955,refute_0_1957]) ).

cnf(refute_0_1959,plain,
    ( converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) != converse(top)
    | converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)),converse(top)) ),[0],$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))))]]) ).

cnf(refute_0_1960,plain,
    ( converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)) != converse(top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))) )],[refute_0_1958,refute_0_1959]) ).

cnf(refute_0_1961,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(join(join(complement(join(top,converse(top))),converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),top)),converse(top)) )],[refute_0_1950,refute_0_1960]) ).

cnf(refute_0_1962,plain,
    join(top,complement(join(top,converse(top)))) = join(top,complement(join(top,converse(top)))),
    introduced(tautology,[refl,[$fot(join(top,complement(join(top,converse(top)))))]]) ).

cnf(refute_0_1963,plain,
    ( complement(join(top,converse(top))) != complement(converse(join(one,top)))
    | join(top,complement(join(top,converse(top)))) != join(top,complement(join(top,converse(top))))
    | join(top,complement(join(top,converse(top)))) = join(top,complement(converse(join(one,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(join(top,converse(top)))),join(top,complement(join(top,converse(top))))) ),[1,1],$fot(complement(converse(join(one,top))))]]) ).

cnf(refute_0_1964,plain,
    ( complement(join(top,converse(top))) != complement(converse(join(one,top)))
    | join(top,complement(join(top,converse(top)))) = join(top,complement(converse(join(one,top)))) ),
    inference(resolve,[$cnf( $equal(join(top,complement(join(top,converse(top)))),join(top,complement(join(top,converse(top))))) )],[refute_0_1962,refute_0_1963]) ).

cnf(refute_0_1965,plain,
    join(top,complement(join(top,converse(top)))) = join(top,complement(converse(join(one,top)))),
    inference(resolve,[$cnf( $equal(complement(join(top,converse(top))),complement(converse(join(one,top)))) )],[refute_0_1667,refute_0_1964]) ).

cnf(refute_0_1966,plain,
    converse(join(top,complement(join(top,converse(top))))) = converse(join(top,complement(join(top,converse(top))))),
    introduced(tautology,[refl,[$fot(converse(join(top,complement(join(top,converse(top))))))]]) ).

cnf(refute_0_1967,plain,
    ( converse(join(top,complement(join(top,converse(top))))) != converse(join(top,complement(join(top,converse(top)))))
    | join(top,complement(join(top,converse(top)))) != join(top,complement(converse(join(one,top))))
    | converse(join(top,complement(join(top,converse(top))))) = converse(join(top,complement(converse(join(one,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(top,complement(join(top,converse(top))))),converse(join(top,complement(join(top,converse(top)))))) ),[1,0],$fot(join(top,complement(converse(join(one,top)))))]]) ).

cnf(refute_0_1968,plain,
    ( join(top,complement(join(top,converse(top)))) != join(top,complement(converse(join(one,top))))
    | converse(join(top,complement(join(top,converse(top))))) = converse(join(top,complement(converse(join(one,top))))) ),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(join(top,converse(top))))),converse(join(top,complement(join(top,converse(top)))))) )],[refute_0_1966,refute_0_1967]) ).

cnf(refute_0_1969,plain,
    converse(join(top,complement(join(top,converse(top))))) = converse(join(top,complement(converse(join(one,top))))),
    inference(resolve,[$cnf( $equal(join(top,complement(join(top,converse(top)))),join(top,complement(converse(join(one,top))))) )],[refute_0_1965,refute_0_1968]) ).

cnf(refute_0_1970,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))),
    introduced(tautology,[refl,[$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))))]]) ).

cnf(refute_0_1971,plain,
    ( converse(join(top,complement(join(top,converse(top))))) != converse(join(top,complement(converse(join(one,top)))))
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))) ),[1,1],$fot(converse(join(top,complement(converse(join(one,top))))))]]) ).

cnf(refute_0_1972,plain,
    ( converse(join(top,complement(join(top,converse(top))))) != converse(join(top,complement(converse(join(one,top)))))
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top))))))) )],[refute_0_1970,refute_0_1971]) ).

cnf(refute_0_1973,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(join(top,converse(top))))),converse(join(top,complement(converse(join(one,top)))))) )],[refute_0_1969,refute_0_1972]) ).

cnf(refute_0_1974,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) != converse(top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top))))))
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))),converse(top)) ),[0],$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))))]]) ).

cnf(refute_0_1975,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))) != converse(top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top))))))) )],[refute_0_1973,refute_0_1974]) ).

cnf(refute_0_1976,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) = converse(top),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(top,converse(top)))))),converse(top)) )],[refute_0_1961,refute_0_1975]) ).

cnf(refute_0_1977,plain,
    complement(converse(join(one,top))) = complement(converse(join(one,top))),
    introduced(tautology,[refl,[$fot(complement(converse(join(one,top))))]]) ).

cnf(refute_0_1978,plain,
    ( complement(converse(join(one,top))) != complement(converse(join(one,top)))
    | converse(join(one,top)) != join(one,top)
    | complement(converse(join(one,top))) = complement(join(one,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(one,top))),complement(converse(join(one,top)))) ),[1,0],$fot(join(one,top))]]) ).

cnf(refute_0_1979,plain,
    ( converse(join(one,top)) != join(one,top)
    | complement(converse(join(one,top))) = complement(join(one,top)) ),
    inference(resolve,[$cnf( $equal(complement(converse(join(one,top))),complement(converse(join(one,top)))) )],[refute_0_1977,refute_0_1978]) ).

cnf(refute_0_1980,plain,
    complement(converse(join(one,top))) = complement(join(one,top)),
    inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,top)) )],[refute_0_1818,refute_0_1979]) ).

cnf(refute_0_1981,plain,
    join(top,complement(converse(join(one,top)))) = join(top,complement(converse(join(one,top)))),
    introduced(tautology,[refl,[$fot(join(top,complement(converse(join(one,top)))))]]) ).

cnf(refute_0_1982,plain,
    ( complement(converse(join(one,top))) != complement(join(one,top))
    | join(top,complement(converse(join(one,top)))) != join(top,complement(converse(join(one,top))))
    | join(top,complement(converse(join(one,top)))) = join(top,complement(join(one,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(converse(join(one,top)))),join(top,complement(converse(join(one,top))))) ),[1,1],$fot(complement(join(one,top)))]]) ).

cnf(refute_0_1983,plain,
    ( complement(converse(join(one,top))) != complement(join(one,top))
    | join(top,complement(converse(join(one,top)))) = join(top,complement(join(one,top))) ),
    inference(resolve,[$cnf( $equal(join(top,complement(converse(join(one,top)))),join(top,complement(converse(join(one,top))))) )],[refute_0_1981,refute_0_1982]) ).

cnf(refute_0_1984,plain,
    join(top,complement(converse(join(one,top)))) = join(top,complement(join(one,top))),
    inference(resolve,[$cnf( $equal(complement(converse(join(one,top))),complement(join(one,top))) )],[refute_0_1980,refute_0_1983]) ).

cnf(refute_0_1985,plain,
    converse(join(top,complement(converse(join(one,top))))) = converse(join(top,complement(converse(join(one,top))))),
    introduced(tautology,[refl,[$fot(converse(join(top,complement(converse(join(one,top))))))]]) ).

cnf(refute_0_1986,plain,
    ( converse(join(top,complement(converse(join(one,top))))) != converse(join(top,complement(converse(join(one,top)))))
    | join(top,complement(converse(join(one,top)))) != join(top,complement(join(one,top)))
    | converse(join(top,complement(converse(join(one,top))))) = converse(join(top,complement(join(one,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(top,complement(converse(join(one,top))))),converse(join(top,complement(converse(join(one,top)))))) ),[1,0],$fot(join(top,complement(join(one,top))))]]) ).

cnf(refute_0_1987,plain,
    ( join(top,complement(converse(join(one,top)))) != join(top,complement(join(one,top)))
    | converse(join(top,complement(converse(join(one,top))))) = converse(join(top,complement(join(one,top)))) ),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(join(one,top))))),converse(join(top,complement(converse(join(one,top)))))) )],[refute_0_1985,refute_0_1986]) ).

cnf(refute_0_1988,plain,
    converse(join(top,complement(converse(join(one,top))))) = converse(join(top,complement(join(one,top)))),
    inference(resolve,[$cnf( $equal(join(top,complement(converse(join(one,top)))),join(top,complement(join(one,top)))) )],[refute_0_1984,refute_0_1987]) ).

cnf(refute_0_1989,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))),
    introduced(tautology,[refl,[$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))))]]) ).

cnf(refute_0_1990,plain,
    ( converse(join(top,complement(converse(join(one,top))))) != converse(join(top,complement(join(one,top))))
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top))))))
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top))))))) ),[1,1],$fot(converse(join(top,complement(join(one,top)))))]]) ).

cnf(refute_0_1991,plain,
    ( converse(join(top,complement(converse(join(one,top))))) != converse(join(top,complement(join(one,top))))
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top))))))) )],[refute_0_1989,refute_0_1990]) ).

cnf(refute_0_1992,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(converse(join(one,top))))),converse(join(top,complement(join(one,top))))) )],[refute_0_1988,refute_0_1991]) ).

cnf(refute_0_1993,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) != converse(top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top)))))
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))),converse(top)) ),[0],$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))))]]) ).

cnf(refute_0_1994,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) != converse(top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top)))))) )],[refute_0_1992,refute_0_1993]) ).

cnf(refute_0_1995,plain,
    ( converse(top) != top
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) != converse(top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))),converse(top)) ),[1],$fot(top)]]) ).

cnf(refute_0_1996,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) != converse(top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = top ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1681,refute_0_1995]) ).

cnf(refute_0_1997,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))) != converse(top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))),converse(top)) )],[refute_0_1994,refute_0_1996]) ).

cnf(refute_0_1998,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = top,
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(converse(join(one,top)))))),converse(top)) )],[refute_0_1976,refute_0_1997]) ).

cnf(refute_0_1999,plain,
    join(top,join(converse(zero),X_52)) = join(join(top,converse(zero)),X_52),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(top)),bind(X1,$fot(converse(zero))),bind(X2,$fot(X_52))]]) ).

cnf(refute_0_2000,plain,
    converse(join(converse(top),zero)) = converse(join(zero,converse(top))),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(converse(top))),bind(X1,$fot(zero))]]) ).

cnf(refute_0_2001,plain,
    ( converse(join(converse(top),zero)) != converse(join(zero,converse(top)))
    | join(zero,converse(top)) != converse(top)
    | converse(join(converse(top),zero)) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),zero)),converse(join(zero,converse(top)))) ),[1,0],$fot(converse(top))]]) ).

cnf(refute_0_2002,plain,
    ( converse(join(converse(top),zero)) != converse(join(zero,converse(top)))
    | converse(join(converse(top),zero)) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_0_1910,refute_0_2001]) ).

cnf(refute_0_2003,plain,
    converse(join(converse(top),zero)) = converse(converse(top)),
    inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),converse(join(zero,converse(top)))) )],[refute_0_2000,refute_0_2002]) ).

cnf(refute_0_2004,plain,
    join(converse(zero),top) = join(top,converse(zero)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(top)),bind(X1,$fot(converse(zero)))]]) ).

cnf(refute_0_2005,plain,
    converse(join(zero,converse(top))) = join(converse(zero),top),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(top)),bind(X_4,$fot(zero))]]) ).

cnf(refute_0_2006,plain,
    ( converse(join(zero,converse(top))) != join(converse(zero),top)
    | join(converse(zero),top) != join(top,converse(zero))
    | converse(join(zero,converse(top))) = join(top,converse(zero)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(zero,converse(top))))),bind(Y,$fot(join(converse(zero),top))),bind(Z,$fot(join(top,converse(zero))))]]) ).

cnf(refute_0_2007,plain,
    ( join(converse(zero),top) != join(top,converse(zero))
    | converse(join(zero,converse(top))) = join(top,converse(zero)) ),
    inference(resolve,[$cnf( $equal(converse(join(zero,converse(top))),join(converse(zero),top)) )],[refute_0_2005,refute_0_2006]) ).

cnf(refute_0_2008,plain,
    converse(join(zero,converse(top))) = join(top,converse(zero)),
    inference(resolve,[$cnf( $equal(join(converse(zero),top),join(top,converse(zero))) )],[refute_0_2004,refute_0_2007]) ).

cnf(refute_0_2009,plain,
    ( converse(join(converse(top),zero)) != converse(join(zero,converse(top)))
    | converse(join(zero,converse(top))) != join(top,converse(zero))
    | converse(join(converse(top),zero)) = join(top,converse(zero)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(converse(top),zero)))),bind(Y,$fot(converse(join(zero,converse(top))))),bind(Z,$fot(join(top,converse(zero))))]]) ).

cnf(refute_0_2010,plain,
    ( converse(join(zero,converse(top))) != join(top,converse(zero))
    | converse(join(converse(top),zero)) = join(top,converse(zero)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),converse(join(zero,converse(top)))) )],[refute_0_2000,refute_0_2009]) ).

cnf(refute_0_2011,plain,
    converse(join(converse(top),zero)) = join(top,converse(zero)),
    inference(resolve,[$cnf( $equal(converse(join(zero,converse(top))),join(top,converse(zero))) )],[refute_0_2008,refute_0_2010]) ).

cnf(refute_0_2012,plain,
    ( converse(join(converse(top),zero)) != converse(converse(top))
    | converse(join(converse(top),zero)) != join(top,converse(zero))
    | join(top,converse(zero)) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),zero)),converse(converse(top))) ),[0],$fot(join(top,converse(zero)))]]) ).

cnf(refute_0_2013,plain,
    ( converse(join(converse(top),zero)) != converse(converse(top))
    | join(top,converse(zero)) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),join(top,converse(zero))) )],[refute_0_2011,refute_0_2012]) ).

cnf(refute_0_2014,plain,
    ( converse(converse(top)) != top
    | join(top,converse(zero)) != converse(converse(top))
    | join(top,converse(zero)) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,converse(zero)),converse(converse(top))) ),[1],$fot(top)]]) ).

cnf(refute_0_2015,plain,
    ( join(top,converse(zero)) != converse(converse(top))
    | join(top,converse(zero)) = top ),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_269,refute_0_2014]) ).

cnf(refute_0_2016,plain,
    ( converse(join(converse(top),zero)) != converse(converse(top))
    | join(top,converse(zero)) = top ),
    inference(resolve,[$cnf( $equal(join(top,converse(zero)),converse(converse(top))) )],[refute_0_2013,refute_0_2015]) ).

cnf(refute_0_2017,plain,
    join(top,converse(zero)) = top,
    inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),converse(converse(top))) )],[refute_0_2003,refute_0_2016]) ).

cnf(refute_0_2018,plain,
    ( join(top,converse(zero)) != top
    | join(top,join(converse(zero),X_52)) != join(join(top,converse(zero)),X_52)
    | join(top,join(converse(zero),X_52)) = join(top,X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(zero),X_52)),join(join(top,converse(zero)),X_52)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2019,plain,
    ( join(top,join(converse(zero),X_52)) != join(join(top,converse(zero)),X_52)
    | join(top,join(converse(zero),X_52)) = join(top,X_52) ),
    inference(resolve,[$cnf( $equal(join(top,converse(zero)),top) )],[refute_0_2017,refute_0_2018]) ).

cnf(refute_0_2020,plain,
    join(top,join(converse(zero),X_52)) = join(top,X_52),
    inference(resolve,[$cnf( $equal(join(top,join(converse(zero),X_52)),join(join(top,converse(zero)),X_52)) )],[refute_0_1999,refute_0_2019]) ).

cnf(refute_0_2021,plain,
    join(top,join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) = join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),
    inference(subst,[],[refute_0_2020:[bind(X_52,$fot(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_2022,plain,
    converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) = converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))),bind(X1,$fot(zero))]]) ).

cnf(refute_0_2023,plain,
    ( converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) != converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))
    | join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) != converse(top)
    | converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)),converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) ),[1,0],$fot(converse(top))]]) ).

cnf(refute_0_2024,plain,
    ( converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) != converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))
    | converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),converse(top)) )],[refute_0_1931,refute_0_2023]) ).

cnf(refute_0_2025,plain,
    converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) = converse(converse(top)),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)),converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) )],[refute_0_2022,refute_0_2024]) ).

cnf(refute_0_2026,plain,
    converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) = join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),
    inference(subst,[],[refute_0_247:[bind(X0,$fot(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),bind(X_4,$fot(zero))]]) ).

cnf(refute_0_2027,plain,
    ( converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) != converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))
    | converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) != join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) = join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)))),bind(Y,$fot(converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))))),bind(Z,$fot(join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_2028,plain,
    ( converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))) != join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) = join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)),converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))) )],[refute_0_2022,refute_0_2027]) ).

cnf(refute_0_2029,plain,
    converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) = join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),
    inference(resolve,[$cnf( $equal(converse(join(zero,converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))),join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) )],[refute_0_2026,refute_0_2028]) ).

cnf(refute_0_2030,plain,
    ( converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) != converse(converse(top))
    | converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) != join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) = converse(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)),converse(converse(top))) ),[0],$fot(join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_2031,plain,
    ( converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) != converse(converse(top))
    | join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) = converse(converse(top)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)),join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) )],[refute_0_2029,refute_0_2030]) ).

cnf(refute_0_2032,plain,
    ( converse(converse(top)) != top
    | join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) != converse(converse(top))
    | join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),converse(converse(top))) ),[1],$fot(top)]]) ).

cnf(refute_0_2033,plain,
    ( join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) != converse(converse(top))
    | join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) = top ),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_269,refute_0_2032]) ).

cnf(refute_0_2034,plain,
    ( converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)) != converse(converse(top))
    | join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),converse(converse(top))) )],[refute_0_2031,refute_0_2033]) ).

cnf(refute_0_2035,plain,
    join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) = top,
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),zero)),converse(converse(top))) )],[refute_0_2025,refute_0_2034]) ).

cnf(refute_0_2036,plain,
    ( join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) != top
    | join(top,join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) != join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | join(top,top) = join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_2037,plain,
    ( join(top,join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) != join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | join(top,top) = join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) ),
    inference(resolve,[$cnf( $equal(join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),top) )],[refute_0_2035,refute_0_2036]) ).

cnf(refute_0_2038,plain,
    join(top,top) = join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),
    inference(resolve,[$cnf( $equal(join(top,join(converse(zero),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) )],[refute_0_2021,refute_0_2037]) ).

cnf(refute_0_2039,plain,
    ( join(top,top) != join(one,top)
    | join(top,top) != join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | join(one,top) = join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,top),join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) ),[0],$fot(join(one,top))]]) ).

cnf(refute_0_2040,plain,
    ( join(top,top) != join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | join(one,top) = join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) ),
    inference(resolve,[$cnf( $equal(join(top,top),join(one,top)) )],[refute_0_957,refute_0_2039]) ).

cnf(refute_0_2041,plain,
    join(one,top) = join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),
    inference(resolve,[$cnf( $equal(join(top,top),join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) )],[refute_0_2038,refute_0_2040]) ).

cnf(refute_0_2042,plain,
    ( join(one,top) != join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) = join(one,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_2043,plain,
    join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) = join(one,top),
    inference(resolve,[$cnf( $equal(join(one,top),join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) )],[refute_0_2041,refute_0_2042]) ).

cnf(refute_0_2044,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top) = join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),
    inference(subst,[],[refute_0_1649:[bind(X0,$fot(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_2045,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top) != join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))
    | join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) != join(one,top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top) = join(one,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top))),bind(Y,$fot(join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))))),bind(Z,$fot(join(one,top)))]]) ).

cnf(refute_0_2046,plain,
    ( join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))) != join(one,top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top),join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) )],[refute_0_2044,refute_0_2045]) ).

cnf(refute_0_2047,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top) = join(one,top),
    inference(resolve,[$cnf( $equal(join(top,complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),join(one,top)) )],[refute_0_2043,refute_0_2046]) ).

cnf(refute_0_2048,plain,
    top = join(complement(complement(one)),join(complement(join(one,top)),complement(join(complement(complement(one)),complement(join(one,top)))))),
    inference(subst,[],[refute_0_295:[bind(X0,$fot(complement(complement(one)))),bind(X_24,$fot(complement(join(one,top))))]]) ).

cnf(refute_0_2049,plain,
    one = join(meet(one,join(one,one)),complement(join(complement(one),join(one,one)))),
    inference(subst,[],[refute_0_55:[bind(X0,$fot(one)),bind(X1,$fot(join(one,one)))]]) ).

cnf(refute_0_2050,plain,
    meet(one,join(one,one)) = complement(join(complement(one),complement(join(one,one)))),
    inference(subst,[],[refute_0_41:[bind(X0,$fot(one)),bind(X1,$fot(join(one,one)))]]) ).

cnf(refute_0_2051,plain,
    join(complement(one),composition(converse(join(one,one)),complement(join(one,one)))) = complement(one),
    inference(subst,[],[refute_0_150:[bind(X_27,$fot(join(one,one)))]]) ).

cnf(refute_0_2052,plain,
    converse(join(one,one)) = join(one,converse(one)),
    inference(subst,[],[refute_0_513:[bind(X_5,$fot(one))]]) ).

cnf(refute_0_2053,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_2054,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_510,refute_0_2053]) ).

cnf(refute_0_2055,plain,
    converse(join(one,one)) = join(one,one),
    inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_2052,refute_0_2054]) ).

cnf(refute_0_2056,plain,
    ( converse(join(one,one)) != join(one,one)
    | join(complement(one),composition(converse(join(one,one)),complement(join(one,one)))) != complement(one)
    | join(complement(one),composition(join(one,one),complement(join(one,one)))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(one,one)),complement(join(one,one)))),complement(one)) ),[0,1,0],$fot(join(one,one))]]) ).

cnf(refute_0_2057,plain,
    ( join(complement(one),composition(converse(join(one,one)),complement(join(one,one)))) != complement(one)
    | join(complement(one),composition(join(one,one),complement(join(one,one)))) = complement(one) ),
    inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_2055,refute_0_2056]) ).

cnf(refute_0_2058,plain,
    join(complement(one),composition(join(one,one),complement(join(one,one)))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(one,one)),complement(join(one,one)))),complement(one)) )],[refute_0_2051,refute_0_2057]) ).

cnf(refute_0_2059,plain,
    join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) = complement(X1),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(one)))]]) ).

cnf(refute_0_2060,plain,
    X1 = composition(converse(one),X1),
    inference(subst,[],[refute_0_502:[bind(X_69,$fot(X1))]]) ).

cnf(refute_0_2061,plain,
    ( X1 != composition(converse(one),X1)
    | composition(converse(one),X1) = X1 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X1)),bind(Y,$fot(composition(converse(one),X1)))]]) ).

cnf(refute_0_2062,plain,
    composition(converse(one),X1) = X1,
    inference(resolve,[$cnf( $equal(X1,composition(converse(one),X1)) )],[refute_0_2060,refute_0_2061]) ).

cnf(refute_0_2063,plain,
    ( composition(converse(one),X1) != X1
    | join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) != complement(X1)
    | join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))),complement(X1)) ),[0,1,1,0],$fot(X1)]]) ).

cnf(refute_0_2064,plain,
    ( join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) != complement(X1)
    | join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),X1),X1) )],[refute_0_2062,refute_0_2063]) ).

cnf(refute_0_2065,plain,
    join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))),complement(X1)) )],[refute_0_2059,refute_0_2064]) ).

cnf(refute_0_2066,plain,
    join(one,converse(converse(one))) = join(one,converse(converse(one))),
    introduced(tautology,[refl,[$fot(join(one,converse(converse(one))))]]) ).

cnf(refute_0_2067,plain,
    ( converse(converse(one)) != one
    | join(one,converse(converse(one))) != join(one,converse(converse(one)))
    | join(one,converse(converse(one))) = join(one,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,converse(converse(one))),join(one,converse(converse(one)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_2068,plain,
    ( converse(converse(one)) != one
    | join(one,converse(converse(one))) = join(one,one) ),
    inference(resolve,[$cnf( $equal(join(one,converse(converse(one))),join(one,converse(converse(one)))) )],[refute_0_2066,refute_0_2067]) ).

cnf(refute_0_2069,plain,
    join(one,converse(converse(one))) = join(one,one),
    inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_1530,refute_0_2068]) ).

cnf(refute_0_2070,plain,
    composition(join(one,converse(converse(one))),complement(X1)) = composition(join(one,converse(converse(one))),complement(X1)),
    introduced(tautology,[refl,[$fot(composition(join(one,converse(converse(one))),complement(X1)))]]) ).

cnf(refute_0_2071,plain,
    ( composition(join(one,converse(converse(one))),complement(X1)) != composition(join(one,converse(converse(one))),complement(X1))
    | join(one,converse(converse(one))) != join(one,one)
    | composition(join(one,converse(converse(one))),complement(X1)) = composition(join(one,one),complement(X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(converse(one))),complement(X1)),composition(join(one,converse(converse(one))),complement(X1))) ),[1,0],$fot(join(one,one))]]) ).

cnf(refute_0_2072,plain,
    ( join(one,converse(converse(one))) != join(one,one)
    | composition(join(one,converse(converse(one))),complement(X1)) = composition(join(one,one),complement(X1)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(converse(one))),complement(X1)),composition(join(one,converse(converse(one))),complement(X1))) )],[refute_0_2070,refute_0_2071]) ).

cnf(refute_0_2073,plain,
    composition(join(one,converse(converse(one))),complement(X1)) = composition(join(one,one),complement(X1)),
    inference(resolve,[$cnf( $equal(join(one,converse(converse(one))),join(one,one)) )],[refute_0_2069,refute_0_2072]) ).

cnf(refute_0_2074,plain,
    composition(join(converse(one),X1),X2) = join(composition(converse(one),X2),composition(X1,X2)),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(converse(one)))]]) ).

cnf(refute_0_2075,plain,
    X2 = composition(converse(one),X2),
    inference(subst,[],[refute_0_502:[bind(X_69,$fot(X2))]]) ).

cnf(refute_0_2076,plain,
    ( X2 != composition(converse(one),X2)
    | composition(converse(one),X2) = X2 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X2)),bind(Y,$fot(composition(converse(one),X2)))]]) ).

cnf(refute_0_2077,plain,
    composition(converse(one),X2) = X2,
    inference(resolve,[$cnf( $equal(X2,composition(converse(one),X2)) )],[refute_0_2075,refute_0_2076]) ).

cnf(refute_0_2078,plain,
    ( composition(converse(one),X2) != X2
    | composition(join(converse(one),X1),X2) != join(composition(converse(one),X2),composition(X1,X2))
    | composition(join(converse(one),X1),X2) = join(X2,composition(X1,X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),X1),X2),join(composition(converse(one),X2),composition(X1,X2))) ),[1,0],$fot(X2)]]) ).

cnf(refute_0_2079,plain,
    ( composition(join(converse(one),X1),X2) != join(composition(converse(one),X2),composition(X1,X2))
    | composition(join(converse(one),X1),X2) = join(X2,composition(X1,X2)) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),X2),X2) )],[refute_0_2077,refute_0_2078]) ).

cnf(refute_0_2080,plain,
    composition(join(converse(one),X1),X2) = join(X2,composition(X1,X2)),
    inference(resolve,[$cnf( $equal(composition(join(converse(one),X1),X2),join(composition(converse(one),X2),composition(X1,X2))) )],[refute_0_2074,refute_0_2079]) ).

cnf(refute_0_2081,plain,
    join(converse(one),X1) = join(converse(one),X1),
    introduced(tautology,[refl,[$fot(join(converse(one),X1))]]) ).

cnf(refute_0_2082,plain,
    ( converse(one) != one
    | join(converse(one),X1) != join(converse(one),X1)
    | join(converse(one),X1) = join(one,X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2083,plain,
    ( converse(one) != one
    | join(converse(one),X1) = join(one,X1) ),
    inference(resolve,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) )],[refute_0_2081,refute_0_2082]) ).

cnf(refute_0_2084,plain,
    join(converse(one),X1) = join(one,X1),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_510,refute_0_2083]) ).

cnf(refute_0_2085,plain,
    composition(join(converse(one),X1),X2) = composition(join(converse(one),X1),X2),
    introduced(tautology,[refl,[$fot(composition(join(converse(one),X1),X2))]]) ).

cnf(refute_0_2086,plain,
    ( composition(join(converse(one),X1),X2) != composition(join(converse(one),X1),X2)
    | join(converse(one),X1) != join(one,X1)
    | composition(join(converse(one),X1),X2) = composition(join(one,X1),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),X1),X2),composition(join(converse(one),X1),X2)) ),[1,0],$fot(join(one,X1))]]) ).

cnf(refute_0_2087,plain,
    ( join(converse(one),X1) != join(one,X1)
    | composition(join(converse(one),X1),X2) = composition(join(one,X1),X2) ),
    inference(resolve,[$cnf( $equal(composition(join(converse(one),X1),X2),composition(join(converse(one),X1),X2)) )],[refute_0_2085,refute_0_2086]) ).

cnf(refute_0_2088,plain,
    composition(join(converse(one),X1),X2) = composition(join(one,X1),X2),
    inference(resolve,[$cnf( $equal(join(converse(one),X1),join(one,X1)) )],[refute_0_2084,refute_0_2087]) ).

cnf(refute_0_2089,plain,
    ( composition(join(converse(one),X1),X2) != composition(join(one,X1),X2)
    | composition(join(converse(one),X1),X2) != join(X2,composition(X1,X2))
    | composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),X1),X2),join(X2,composition(X1,X2))) ),[0],$fot(composition(join(one,X1),X2))]]) ).

cnf(refute_0_2090,plain,
    ( composition(join(converse(one),X1),X2) != join(X2,composition(X1,X2))
    | composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
    inference(resolve,[$cnf( $equal(composition(join(converse(one),X1),X2),composition(join(one,X1),X2)) )],[refute_0_2088,refute_0_2089]) ).

cnf(refute_0_2091,plain,
    composition(join(one,X1),X2) = join(X2,composition(X1,X2)),
    inference(resolve,[$cnf( $equal(composition(join(converse(one),X1),X2),join(X2,composition(X1,X2))) )],[refute_0_2080,refute_0_2090]) ).

cnf(refute_0_2092,plain,
    ( composition(join(one,X1),X2) != join(X2,composition(X1,X2))
    | join(X2,composition(X1,X2)) = composition(join(one,X1),X2) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(one,X1),X2))),bind(Y,$fot(join(X2,composition(X1,X2))))]]) ).

cnf(refute_0_2093,plain,
    join(X2,composition(X1,X2)) = composition(join(one,X1),X2),
    inference(resolve,[$cnf( $equal(composition(join(one,X1),X2),join(X2,composition(X1,X2))) )],[refute_0_2091,refute_0_2092]) ).

cnf(refute_0_2094,plain,
    join(complement(X1),composition(converse(converse(one)),complement(X1))) = composition(join(one,converse(converse(one))),complement(X1)),
    inference(subst,[],[refute_0_2093:[bind(X1,$fot(converse(converse(one)))),bind(X2,$fot(complement(X1)))]]) ).

cnf(refute_0_2095,plain,
    ( composition(join(one,converse(converse(one))),complement(X1)) != composition(join(one,one),complement(X1))
    | join(complement(X1),composition(converse(converse(one)),complement(X1))) != composition(join(one,converse(converse(one))),complement(X1))
    | join(complement(X1),composition(converse(converse(one)),complement(X1))) = composition(join(one,one),complement(X1)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(X1),composition(converse(converse(one)),complement(X1))))),bind(Y,$fot(composition(join(one,converse(converse(one))),complement(X1)))),bind(Z,$fot(composition(join(one,one),complement(X1))))]]) ).

cnf(refute_0_2096,plain,
    ( composition(join(one,converse(converse(one))),complement(X1)) != composition(join(one,one),complement(X1))
    | join(complement(X1),composition(converse(converse(one)),complement(X1))) = composition(join(one,one),complement(X1)) ),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),composition(join(one,converse(converse(one))),complement(X1))) )],[refute_0_2094,refute_0_2095]) ).

cnf(refute_0_2097,plain,
    join(complement(X1),composition(converse(converse(one)),complement(X1))) = composition(join(one,one),complement(X1)),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(converse(one))),complement(X1)),composition(join(one,one),complement(X1))) )],[refute_0_2073,refute_0_2096]) ).

cnf(refute_0_2098,plain,
    ( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
    | join(complement(X1),composition(converse(converse(one)),complement(X1))) != composition(join(one,one),complement(X1))
    | composition(join(one,one),complement(X1)) = complement(X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) ),[0],$fot(composition(join(one,one),complement(X1)))]]) ).

cnf(refute_0_2099,plain,
    ( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
    | composition(join(one,one),complement(X1)) = complement(X1) ),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),composition(join(one,one),complement(X1))) )],[refute_0_2097,refute_0_2098]) ).

cnf(refute_0_2100,plain,
    composition(join(one,one),complement(X1)) = complement(X1),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) )],[refute_0_2065,refute_0_2099]) ).

cnf(refute_0_2101,plain,
    composition(join(one,one),complement(join(one,one))) = complement(join(one,one)),
    inference(subst,[],[refute_0_2100:[bind(X1,$fot(join(one,one)))]]) ).

cnf(refute_0_2102,plain,
    join(complement(one),composition(join(one,one),complement(join(one,one)))) = join(complement(one),composition(join(one,one),complement(join(one,one)))),
    introduced(tautology,[refl,[$fot(join(complement(one),composition(join(one,one),complement(join(one,one)))))]]) ).

cnf(refute_0_2103,plain,
    ( composition(join(one,one),complement(join(one,one))) != complement(join(one,one))
    | join(complement(one),composition(join(one,one),complement(join(one,one)))) != join(complement(one),composition(join(one,one),complement(join(one,one))))
    | join(complement(one),composition(join(one,one),complement(join(one,one)))) = join(complement(one),complement(join(one,one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(one,one),complement(join(one,one)))),join(complement(one),composition(join(one,one),complement(join(one,one))))) ),[1,1],$fot(complement(join(one,one)))]]) ).

cnf(refute_0_2104,plain,
    ( composition(join(one,one),complement(join(one,one))) != complement(join(one,one))
    | join(complement(one),composition(join(one,one),complement(join(one,one)))) = join(complement(one),complement(join(one,one))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(one,one),complement(join(one,one)))),join(complement(one),composition(join(one,one),complement(join(one,one))))) )],[refute_0_2102,refute_0_2103]) ).

cnf(refute_0_2105,plain,
    join(complement(one),composition(join(one,one),complement(join(one,one)))) = join(complement(one),complement(join(one,one))),
    inference(resolve,[$cnf( $equal(composition(join(one,one),complement(join(one,one))),complement(join(one,one))) )],[refute_0_2101,refute_0_2104]) ).

cnf(refute_0_2106,plain,
    ( join(complement(one),composition(join(one,one),complement(join(one,one)))) != complement(one)
    | join(complement(one),composition(join(one,one),complement(join(one,one)))) != join(complement(one),complement(join(one,one)))
    | join(complement(one),complement(join(one,one))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(one,one),complement(join(one,one)))),complement(one)) ),[0],$fot(join(complement(one),complement(join(one,one))))]]) ).

cnf(refute_0_2107,plain,
    ( join(complement(one),composition(join(one,one),complement(join(one,one)))) != complement(one)
    | join(complement(one),complement(join(one,one))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(one,one),complement(join(one,one)))),join(complement(one),complement(join(one,one)))) )],[refute_0_2105,refute_0_2106]) ).

cnf(refute_0_2108,plain,
    join(complement(one),complement(join(one,one))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(one,one),complement(join(one,one)))),complement(one)) )],[refute_0_2058,refute_0_2107]) ).

cnf(refute_0_2109,plain,
    ( join(complement(one),complement(join(one,one))) != complement(one)
    | meet(one,join(one,one)) != complement(join(complement(one),complement(join(one,one))))
    | meet(one,join(one,one)) = complement(complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(one,join(one,one)),complement(join(complement(one),complement(join(one,one))))) ),[1,0],$fot(complement(one))]]) ).

cnf(refute_0_2110,plain,
    ( meet(one,join(one,one)) != complement(join(complement(one),complement(join(one,one))))
    | meet(one,join(one,one)) = complement(complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),complement(join(one,one))),complement(one)) )],[refute_0_2108,refute_0_2109]) ).

cnf(refute_0_2111,plain,
    meet(one,join(one,one)) = complement(complement(one)),
    inference(resolve,[$cnf( $equal(meet(one,join(one,one)),complement(join(complement(one),complement(join(one,one))))) )],[refute_0_2050,refute_0_2110]) ).

cnf(refute_0_2112,plain,
    ( meet(one,join(one,one)) != complement(complement(one))
    | one != join(meet(one,join(one,one)),complement(join(complement(one),join(one,one))))
    | one = join(complement(complement(one)),complement(join(complement(one),join(one,one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,join(one,one)),complement(join(complement(one),join(one,one))))) ),[1,0],$fot(complement(complement(one)))]]) ).

cnf(refute_0_2113,plain,
    ( one != join(meet(one,join(one,one)),complement(join(complement(one),join(one,one))))
    | one = join(complement(complement(one)),complement(join(complement(one),join(one,one)))) ),
    inference(resolve,[$cnf( $equal(meet(one,join(one,one)),complement(complement(one))) )],[refute_0_2111,refute_0_2112]) ).

cnf(refute_0_2114,plain,
    one = join(complement(complement(one)),complement(join(complement(one),join(one,one)))),
    inference(resolve,[$cnf( $equal(one,join(meet(one,join(one,one)),complement(join(complement(one),join(one,one))))) )],[refute_0_2049,refute_0_2113]) ).

cnf(refute_0_2115,plain,
    ( join(X0,top) != join(top,X0)
    | join(top,X0) = join(X0,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,top))),bind(Y,$fot(join(top,X0)))]]) ).

cnf(refute_0_2116,plain,
    join(top,X0) = join(X0,top),
    inference(resolve,[$cnf( $equal(join(X0,top),join(top,X0)) )],[refute_0_1649,refute_0_2115]) ).

cnf(refute_0_2117,plain,
    join(top,one) = join(one,top),
    inference(subst,[],[refute_0_2116:[bind(X0,$fot(one))]]) ).

cnf(refute_0_2118,plain,
    join(X_65,join(complement(X_65),X_66)) = join(top,X_66),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(X_65)),bind(X_52,$fot(X_66))]]) ).

cnf(refute_0_2119,plain,
    join(X_66,complement(X_65)) = join(complement(X_65),X_66),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(X_66)),bind(X1,$fot(complement(X_65)))]]) ).

cnf(refute_0_2120,plain,
    ( join(X_66,complement(X_65)) != join(complement(X_65),X_66)
    | join(complement(X_65),X_66) = join(X_66,complement(X_65)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_66,complement(X_65)))),bind(Y,$fot(join(complement(X_65),X_66)))]]) ).

cnf(refute_0_2121,plain,
    join(complement(X_65),X_66) = join(X_66,complement(X_65)),
    inference(resolve,[$cnf( $equal(join(X_66,complement(X_65)),join(complement(X_65),X_66)) )],[refute_0_2119,refute_0_2120]) ).

cnf(refute_0_2122,plain,
    ( join(X_65,join(complement(X_65),X_66)) != join(top,X_66)
    | join(complement(X_65),X_66) != join(X_66,complement(X_65))
    | join(X_65,join(X_66,complement(X_65))) = join(top,X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_65,join(complement(X_65),X_66)),join(top,X_66)) ),[0,1],$fot(join(X_66,complement(X_65)))]]) ).

cnf(refute_0_2123,plain,
    ( join(X_65,join(complement(X_65),X_66)) != join(top,X_66)
    | join(X_65,join(X_66,complement(X_65))) = join(top,X_66) ),
    inference(resolve,[$cnf( $equal(join(complement(X_65),X_66),join(X_66,complement(X_65))) )],[refute_0_2121,refute_0_2122]) ).

cnf(refute_0_2124,plain,
    join(X_65,join(X_66,complement(X_65))) = join(top,X_66),
    inference(resolve,[$cnf( $equal(join(X_65,join(complement(X_65),X_66)),join(top,X_66)) )],[refute_0_2118,refute_0_2123]) ).

cnf(refute_0_2125,plain,
    join(one,join(one,complement(one))) = join(top,one),
    inference(subst,[],[refute_0_2124:[bind(X_65,$fot(one)),bind(X_66,$fot(one))]]) ).

cnf(refute_0_2126,plain,
    ( join(one,join(one,complement(one))) != join(top,one)
    | join(top,one) != join(one,top)
    | join(one,join(one,complement(one))) = join(one,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(one,join(one,complement(one))))),bind(Y,$fot(join(top,one))),bind(Z,$fot(join(one,top)))]]) ).

cnf(refute_0_2127,plain,
    ( join(top,one) != join(one,top)
    | join(one,join(one,complement(one))) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(one,join(one,complement(one))),join(top,one)) )],[refute_0_2125,refute_0_2126]) ).

cnf(refute_0_2128,plain,
    join(one,join(one,complement(one))) = join(one,top),
    inference(resolve,[$cnf( $equal(join(top,one),join(one,top)) )],[refute_0_2117,refute_0_2127]) ).

cnf(refute_0_2129,plain,
    converse(join(converse(X0),join(one,one))) = join(X0,converse(join(one,one))),
    inference(subst,[],[refute_0_115:[bind(X_5,$fot(join(one,one)))]]) ).

cnf(refute_0_2130,plain,
    ( converse(join(converse(X0),join(one,one))) != join(X0,converse(join(one,one)))
    | converse(join(one,one)) != join(one,one)
    | converse(join(converse(X0),join(one,one))) = join(X0,join(one,one)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(X0,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).

cnf(refute_0_2131,plain,
    ( converse(join(converse(X0),join(one,one))) != join(X0,converse(join(one,one)))
    | converse(join(converse(X0),join(one,one))) = join(X0,join(one,one)) ),
    inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_2055,refute_0_2130]) ).

cnf(refute_0_2132,plain,
    converse(join(converse(X0),join(one,one))) = join(X0,join(one,one)),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(X0,converse(join(one,one)))) )],[refute_0_2129,refute_0_2131]) ).

cnf(refute_0_2133,plain,
    join(converse(one),X0) = join(converse(one),X0),
    introduced(tautology,[refl,[$fot(join(converse(one),X0))]]) ).

cnf(refute_0_2134,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_2135,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_2133,refute_0_2134]) ).

cnf(refute_0_2136,plain,
    join(converse(one),X0) = join(one,X0),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_510,refute_0_2135]) ).

cnf(refute_0_2137,plain,
    join(one,join(converse(one),X0)) = join(one,join(converse(one),X0)),
    introduced(tautology,[refl,[$fot(join(one,join(converse(one),X0)))]]) ).

cnf(refute_0_2138,plain,
    ( join(converse(one),X0) != join(one,X0)
    | join(one,join(converse(one),X0)) != join(one,join(converse(one),X0))
    | join(one,join(converse(one),X0)) = join(one,join(one,X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(one),X0)),join(one,join(converse(one),X0))) ),[1,1],$fot(join(one,X0))]]) ).

cnf(refute_0_2139,plain,
    ( join(converse(one),X0) != join(one,X0)
    | join(one,join(converse(one),X0)) = join(one,join(one,X0)) ),
    inference(resolve,[$cnf( $equal(join(one,join(converse(one),X0)),join(one,join(converse(one),X0))) )],[refute_0_2137,refute_0_2138]) ).

cnf(refute_0_2140,plain,
    join(one,join(converse(one),X0)) = join(one,join(one,X0)),
    inference(resolve,[$cnf( $equal(join(converse(one),X0),join(one,X0)) )],[refute_0_2136,refute_0_2139]) ).

cnf(refute_0_2141,plain,
    join(converse(join(one,one)),X0) = join(one,join(converse(one),X0)),
    inference(subst,[],[refute_0_521:[bind(X2,$fot(X0)),bind(X_74,$fot(one))]]) ).

cnf(refute_0_2142,plain,
    converse(join(one,join(one,converse(X0)))) = join(converse(join(one,one)),X0),
    inference(subst,[],[refute_0_368:[bind(X_50,$fot(one)),bind(X_51,$fot(one))]]) ).

cnf(refute_0_2143,plain,
    ( converse(join(one,join(one,converse(X0)))) != join(converse(join(one,one)),X0)
    | join(converse(join(one,one)),X0) != join(one,join(converse(one),X0))
    | converse(join(one,join(one,converse(X0)))) = join(one,join(converse(one),X0)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(one,join(one,converse(X0)))))),bind(Y,$fot(join(converse(join(one,one)),X0))),bind(Z,$fot(join(one,join(converse(one),X0))))]]) ).

cnf(refute_0_2144,plain,
    ( join(converse(join(one,one)),X0) != join(one,join(converse(one),X0))
    | converse(join(one,join(one,converse(X0)))) = join(one,join(converse(one),X0)) ),
    inference(resolve,[$cnf( $equal(converse(join(one,join(one,converse(X0)))),join(converse(join(one,one)),X0)) )],[refute_0_2142,refute_0_2143]) ).

cnf(refute_0_2145,plain,
    converse(join(one,join(one,converse(X0)))) = join(one,join(converse(one),X0)),
    inference(resolve,[$cnf( $equal(join(converse(join(one,one)),X0),join(one,join(converse(one),X0))) )],[refute_0_2141,refute_0_2144]) ).

cnf(refute_0_2146,plain,
    converse(join(one,join(X1,X0))) = join(one,converse(join(X1,X0))),
    inference(subst,[],[refute_0_513:[bind(X_5,$fot(join(X1,X0)))]]) ).

cnf(refute_0_2147,plain,
    ( converse(join(X1,X0)) != converse(join(X0,X1))
    | converse(join(one,join(X1,X0))) != join(one,converse(join(X1,X0)))
    | converse(join(one,join(X1,X0))) = join(one,converse(join(X0,X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X1,X0))),join(one,converse(join(X1,X0)))) ),[1,1],$fot(converse(join(X0,X1)))]]) ).

cnf(refute_0_2148,plain,
    ( converse(join(one,join(X1,X0))) != join(one,converse(join(X1,X0)))
    | converse(join(one,join(X1,X0))) = join(one,converse(join(X0,X1))) ),
    inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_599,refute_0_2147]) ).

cnf(refute_0_2149,plain,
    converse(join(one,join(X1,X0))) = join(one,converse(join(X0,X1))),
    inference(resolve,[$cnf( $equal(converse(join(one,join(X1,X0))),join(one,converse(join(X1,X0)))) )],[refute_0_2146,refute_0_2148]) ).

cnf(refute_0_2150,plain,
    join(one,converse(join(X0,X1))) = converse(join(one,join(X0,X1))),
    inference(subst,[],[refute_0_1012:[bind(X_5,$fot(join(X0,X1)))]]) ).

cnf(refute_0_2151,plain,
    ( converse(join(one,join(X1,X0))) != join(one,converse(join(X0,X1)))
    | join(one,converse(join(X0,X1))) != converse(join(one,join(X0,X1)))
    | converse(join(one,join(X1,X0))) = converse(join(one,join(X0,X1))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,join(X1,X0))),converse(join(one,join(X0,X1)))) ),[0],$fot(join(one,converse(join(X0,X1))))]]) ).

cnf(refute_0_2152,plain,
    ( converse(join(one,join(X1,X0))) != join(one,converse(join(X0,X1)))
    | converse(join(one,join(X1,X0))) = converse(join(one,join(X0,X1))) ),
    inference(resolve,[$cnf( $equal(join(one,converse(join(X0,X1))),converse(join(one,join(X0,X1)))) )],[refute_0_2150,refute_0_2151]) ).

cnf(refute_0_2153,plain,
    converse(join(one,join(X1,X0))) = converse(join(one,join(X0,X1))),
    inference(resolve,[$cnf( $equal(converse(join(one,join(X1,X0))),join(one,converse(join(X0,X1)))) )],[refute_0_2149,refute_0_2152]) ).

cnf(refute_0_2154,plain,
    ( converse(join(one,join(X1,X0))) != converse(join(one,join(X0,X1)))
    | converse(join(one,join(X0,X1))) = converse(join(one,join(X1,X0))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(one,join(X1,X0))))),bind(Y,$fot(converse(join(one,join(X0,X1)))))]]) ).

cnf(refute_0_2155,plain,
    converse(join(one,join(X0,X1))) = converse(join(one,join(X1,X0))),
    inference(resolve,[$cnf( $equal(converse(join(one,join(X1,X0))),converse(join(one,join(X0,X1)))) )],[refute_0_2153,refute_0_2154]) ).

cnf(refute_0_2156,plain,
    converse(join(one,join(converse(X0),one))) = converse(join(one,join(one,converse(X0)))),
    inference(subst,[],[refute_0_2155:[bind(X0,$fot(converse(X0))),bind(X1,$fot(one))]]) ).

cnf(refute_0_2157,plain,
    ( converse(join(one,join(converse(X0),one))) != converse(join(one,join(one,converse(X0))))
    | converse(join(one,join(one,converse(X0)))) != join(one,join(converse(one),X0))
    | converse(join(one,join(converse(X0),one))) = join(one,join(converse(one),X0)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(one,join(converse(X0),one))))),bind(Y,$fot(converse(join(one,join(one,converse(X0)))))),bind(Z,$fot(join(one,join(converse(one),X0))))]]) ).

cnf(refute_0_2158,plain,
    ( converse(join(one,join(one,converse(X0)))) != join(one,join(converse(one),X0))
    | converse(join(one,join(converse(X0),one))) = join(one,join(converse(one),X0)) ),
    inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X0),one))),converse(join(one,join(one,converse(X0))))) )],[refute_0_2156,refute_0_2157]) ).

cnf(refute_0_2159,plain,
    converse(join(one,join(converse(X0),one))) = join(one,join(converse(one),X0)),
    inference(resolve,[$cnf( $equal(converse(join(one,join(one,converse(X0)))),join(one,join(converse(one),X0))) )],[refute_0_2145,refute_0_2158]) ).

cnf(refute_0_2160,plain,
    converse(join(X0,join(X_50,X_51))) = converse(join(join(X_50,X_51),X0)),
    inference(subst,[],[refute_0_133:[bind(X1,$fot(join(X_50,X_51)))]]) ).

cnf(refute_0_2161,plain,
    ( converse(join(X0,join(X_50,X_51))) != converse(join(join(X_50,X_51),X0))
    | join(join(X_50,X_51),X0) != join(X_50,join(X_51,X0))
    | converse(join(X0,join(X_50,X_51))) = converse(join(X_50,join(X_51,X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_50,X_51))),converse(join(join(X_50,X_51),X0))) ),[1,0],$fot(join(X_50,join(X_51,X0)))]]) ).

cnf(refute_0_2162,plain,
    ( converse(join(X0,join(X_50,X_51))) != converse(join(join(X_50,X_51),X0))
    | converse(join(X0,join(X_50,X_51))) = converse(join(X_50,join(X_51,X0))) ),
    inference(resolve,[$cnf( $equal(join(join(X_50,X_51),X0),join(X_50,join(X_51,X0))) )],[refute_0_188,refute_0_2161]) ).

cnf(refute_0_2163,plain,
    converse(join(X0,join(X_50,X_51))) = converse(join(X_50,join(X_51,X0))),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_50,X_51))),converse(join(join(X_50,X_51),X0))) )],[refute_0_2160,refute_0_2162]) ).

cnf(refute_0_2164,plain,
    ( converse(join(X0,join(X_50,X_51))) != converse(join(X_50,join(X_51,X0)))
    | converse(join(X_50,join(X_51,X0))) = converse(join(X0,join(X_50,X_51))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X0,join(X_50,X_51))))),bind(Y,$fot(converse(join(X_50,join(X_51,X0)))))]]) ).

cnf(refute_0_2165,plain,
    converse(join(X_50,join(X_51,X0))) = converse(join(X0,join(X_50,X_51))),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_50,X_51))),converse(join(X_50,join(X_51,X0)))) )],[refute_0_2163,refute_0_2164]) ).

cnf(refute_0_2166,plain,
    converse(join(converse(X0),join(one,one))) = converse(join(one,join(converse(X0),one))),
    inference(subst,[],[refute_0_2165:[bind(X0,$fot(one)),bind(X_50,$fot(converse(X0))),bind(X_51,$fot(one))]]) ).

cnf(refute_0_2167,plain,
    ( converse(join(converse(X0),join(one,one))) != converse(join(one,join(converse(X0),one)))
    | converse(join(one,join(converse(X0),one))) != join(one,join(converse(one),X0))
    | converse(join(converse(X0),join(one,one))) = join(one,join(converse(one),X0)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(converse(X0),join(one,one))))),bind(Y,$fot(converse(join(one,join(converse(X0),one))))),bind(Z,$fot(join(one,join(converse(one),X0))))]]) ).

cnf(refute_0_2168,plain,
    ( converse(join(one,join(converse(X0),one))) != join(one,join(converse(one),X0))
    | converse(join(converse(X0),join(one,one))) = join(one,join(converse(one),X0)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,one))),converse(join(one,join(converse(X0),one)))) )],[refute_0_2166,refute_0_2167]) ).

cnf(refute_0_2169,plain,
    converse(join(converse(X0),join(one,one))) = join(one,join(converse(one),X0)),
    inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X0),one))),join(one,join(converse(one),X0))) )],[refute_0_2159,refute_0_2168]) ).

cnf(refute_0_2170,plain,
    ( converse(join(converse(X0),join(one,one))) != join(one,join(converse(one),X0))
    | join(one,join(converse(one),X0)) != join(one,join(one,X0))
    | converse(join(converse(X0),join(one,one))) = join(one,join(one,X0)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(converse(X0),join(one,one))))),bind(Y,$fot(join(one,join(converse(one),X0)))),bind(Z,$fot(join(one,join(one,X0))))]]) ).

cnf(refute_0_2171,plain,
    ( join(one,join(converse(one),X0)) != join(one,join(one,X0))
    | converse(join(converse(X0),join(one,one))) = join(one,join(one,X0)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(one,join(converse(one),X0))) )],[refute_0_2169,refute_0_2170]) ).

cnf(refute_0_2172,plain,
    converse(join(converse(X0),join(one,one))) = join(one,join(one,X0)),
    inference(resolve,[$cnf( $equal(join(one,join(converse(one),X0)),join(one,join(one,X0))) )],[refute_0_2140,refute_0_2171]) ).

cnf(refute_0_2173,plain,
    ( converse(join(converse(X0),join(one,one))) != join(X0,join(one,one))
    | converse(join(converse(X0),join(one,one))) != join(one,join(one,X0))
    | join(one,join(one,X0)) = join(X0,join(one,one)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(X0,join(one,one))) ),[0],$fot(join(one,join(one,X0)))]]) ).

cnf(refute_0_2174,plain,
    ( converse(join(converse(X0),join(one,one))) != join(X0,join(one,one))
    | join(one,join(one,X0)) = join(X0,join(one,one)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(one,join(one,X0))) )],[refute_0_2172,refute_0_2173]) ).

cnf(refute_0_2175,plain,
    join(one,join(one,X0)) = join(X0,join(one,one)),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(X0,join(one,one))) )],[refute_0_2132,refute_0_2174]) ).

cnf(refute_0_2176,plain,
    ( join(one,join(one,X0)) != join(X0,join(one,one))
    | join(X0,join(one,one)) = join(one,join(one,X0)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,join(one,X0)))),bind(Y,$fot(join(X0,join(one,one))))]]) ).

cnf(refute_0_2177,plain,
    join(X0,join(one,one)) = join(one,join(one,X0)),
    inference(resolve,[$cnf( $equal(join(one,join(one,X0)),join(X0,join(one,one))) )],[refute_0_2175,refute_0_2176]) ).

cnf(refute_0_2178,plain,
    join(complement(one),join(one,one)) = join(one,join(one,complement(one))),
    inference(subst,[],[refute_0_2177:[bind(X0,$fot(complement(one)))]]) ).

cnf(refute_0_2179,plain,
    ( join(complement(one),join(one,one)) != join(one,join(one,complement(one)))
    | join(one,join(one,complement(one))) != join(one,top)
    | join(complement(one),join(one,one)) = join(one,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(one),join(one,one)))),bind(Y,$fot(join(one,join(one,complement(one))))),bind(Z,$fot(join(one,top)))]]) ).

cnf(refute_0_2180,plain,
    ( join(one,join(one,complement(one))) != join(one,top)
    | join(complement(one),join(one,one)) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(complement(one),join(one,one)),join(one,join(one,complement(one)))) )],[refute_0_2178,refute_0_2179]) ).

cnf(refute_0_2181,plain,
    join(complement(one),join(one,one)) = join(one,top),
    inference(resolve,[$cnf( $equal(join(one,join(one,complement(one))),join(one,top)) )],[refute_0_2128,refute_0_2180]) ).

cnf(refute_0_2182,plain,
    complement(join(complement(one),join(one,one))) = complement(join(complement(one),join(one,one))),
    introduced(tautology,[refl,[$fot(complement(join(complement(one),join(one,one))))]]) ).

cnf(refute_0_2183,plain,
    ( complement(join(complement(one),join(one,one))) != complement(join(complement(one),join(one,one)))
    | join(complement(one),join(one,one)) != join(one,top)
    | complement(join(complement(one),join(one,one))) = complement(join(one,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(one),join(one,one))),complement(join(complement(one),join(one,one)))) ),[1,0],$fot(join(one,top))]]) ).

cnf(refute_0_2184,plain,
    ( join(complement(one),join(one,one)) != join(one,top)
    | complement(join(complement(one),join(one,one))) = complement(join(one,top)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(one),join(one,one))),complement(join(complement(one),join(one,one)))) )],[refute_0_2182,refute_0_2183]) ).

cnf(refute_0_2185,plain,
    complement(join(complement(one),join(one,one))) = complement(join(one,top)),
    inference(resolve,[$cnf( $equal(join(complement(one),join(one,one)),join(one,top)) )],[refute_0_2181,refute_0_2184]) ).

cnf(refute_0_2186,plain,
    join(complement(complement(one)),complement(join(complement(one),join(one,one)))) = join(complement(complement(one)),complement(join(complement(one),join(one,one)))),
    introduced(tautology,[refl,[$fot(join(complement(complement(one)),complement(join(complement(one),join(one,one)))))]]) ).

cnf(refute_0_2187,plain,
    ( complement(join(complement(one),join(one,one))) != complement(join(one,top))
    | join(complement(complement(one)),complement(join(complement(one),join(one,one)))) != join(complement(complement(one)),complement(join(complement(one),join(one,one))))
    | join(complement(complement(one)),complement(join(complement(one),join(one,one)))) = join(complement(complement(one)),complement(join(one,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),complement(join(complement(one),join(one,one)))),join(complement(complement(one)),complement(join(complement(one),join(one,one))))) ),[1,1],$fot(complement(join(one,top)))]]) ).

cnf(refute_0_2188,plain,
    ( complement(join(complement(one),join(one,one))) != complement(join(one,top))
    | join(complement(complement(one)),complement(join(complement(one),join(one,one)))) = join(complement(complement(one)),complement(join(one,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),complement(join(complement(one),join(one,one)))),join(complement(complement(one)),complement(join(complement(one),join(one,one))))) )],[refute_0_2186,refute_0_2187]) ).

cnf(refute_0_2189,plain,
    join(complement(complement(one)),complement(join(complement(one),join(one,one)))) = join(complement(complement(one)),complement(join(one,top))),
    inference(resolve,[$cnf( $equal(complement(join(complement(one),join(one,one))),complement(join(one,top))) )],[refute_0_2185,refute_0_2188]) ).

cnf(refute_0_2190,plain,
    ( join(complement(complement(one)),complement(join(complement(one),join(one,one)))) != join(complement(complement(one)),complement(join(one,top)))
    | one != join(complement(complement(one)),complement(join(complement(one),join(one,one))))
    | one = join(complement(complement(one)),complement(join(one,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,join(complement(complement(one)),complement(join(complement(one),join(one,one))))) ),[1],$fot(join(complement(complement(one)),complement(join(one,top))))]]) ).

cnf(refute_0_2191,plain,
    ( one != join(complement(complement(one)),complement(join(complement(one),join(one,one))))
    | one = join(complement(complement(one)),complement(join(one,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),complement(join(complement(one),join(one,one)))),join(complement(complement(one)),complement(join(one,top)))) )],[refute_0_2189,refute_0_2190]) ).

cnf(refute_0_2192,plain,
    one = join(complement(complement(one)),complement(join(one,top))),
    inference(resolve,[$cnf( $equal(one,join(complement(complement(one)),complement(join(complement(one),join(one,one))))) )],[refute_0_2114,refute_0_2191]) ).

cnf(refute_0_2193,plain,
    ( one != join(complement(complement(one)),complement(join(one,top)))
    | join(complement(complement(one)),complement(join(one,top))) = one ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(join(complement(complement(one)),complement(join(one,top)))))]]) ).

cnf(refute_0_2194,plain,
    join(complement(complement(one)),complement(join(one,top))) = one,
    inference(resolve,[$cnf( $equal(one,join(complement(complement(one)),complement(join(one,top)))) )],[refute_0_2192,refute_0_2193]) ).

cnf(refute_0_2195,plain,
    ( join(complement(complement(one)),complement(join(one,top))) != one
    | top != join(complement(complement(one)),join(complement(join(one,top)),complement(join(complement(complement(one)),complement(join(one,top))))))
    | top = join(complement(complement(one)),join(complement(join(one,top)),complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(complement(one)),join(complement(join(one,top)),complement(join(complement(complement(one)),complement(join(one,top))))))) ),[1,1,1,0],$fot(one)]]) ).

cnf(refute_0_2196,plain,
    ( top != join(complement(complement(one)),join(complement(join(one,top)),complement(join(complement(complement(one)),complement(join(one,top))))))
    | top = join(complement(complement(one)),join(complement(join(one,top)),complement(one))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),complement(join(one,top))),one) )],[refute_0_2194,refute_0_2195]) ).

cnf(refute_0_2197,plain,
    top = join(complement(complement(one)),join(complement(join(one,top)),complement(one))),
    inference(resolve,[$cnf( $equal(top,join(complement(complement(one)),join(complement(join(one,top)),complement(join(complement(complement(one)),complement(join(one,top))))))) )],[refute_0_2048,refute_0_2196]) ).

cnf(refute_0_2198,plain,
    join(complement(one),join(complement(complement(one)),complement(join(one,top)))) = join(top,complement(join(one,top))),
    inference(subst,[],[refute_0_73:[bind(X_50,$fot(complement(one))),bind(X_52,$fot(complement(join(one,top))))]]) ).

cnf(refute_0_2199,plain,
    join(complement(complement(one)),join(complement(one),complement(join(one,top)))) = join(complement(one),join(complement(complement(one)),complement(join(one,top)))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(complement(one))),bind(X_51,$fot(complement(complement(one)))),bind(X_52,$fot(complement(join(one,top))))]]) ).

cnf(refute_0_2200,plain,
    ( join(complement(complement(one)),join(complement(one),complement(join(one,top)))) != join(complement(one),join(complement(complement(one)),complement(join(one,top))))
    | join(complement(one),join(complement(complement(one)),complement(join(one,top)))) != join(top,complement(join(one,top)))
    | join(complement(complement(one)),join(complement(one),complement(join(one,top)))) = join(top,complement(join(one,top))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(complement(one)),join(complement(one),complement(join(one,top)))))),bind(Y,$fot(join(complement(one),join(complement(complement(one)),complement(join(one,top)))))),bind(Z,$fot(join(top,complement(join(one,top)))))]]) ).

cnf(refute_0_2201,plain,
    ( join(complement(one),join(complement(complement(one)),complement(join(one,top)))) != join(top,complement(join(one,top)))
    | join(complement(complement(one)),join(complement(one),complement(join(one,top)))) = join(top,complement(join(one,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(one),complement(join(one,top)))),join(complement(one),join(complement(complement(one)),complement(join(one,top))))) )],[refute_0_2199,refute_0_2200]) ).

cnf(refute_0_2202,plain,
    join(complement(complement(one)),join(complement(one),complement(join(one,top)))) = join(top,complement(join(one,top))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(complement(complement(one)),complement(join(one,top)))),join(top,complement(join(one,top)))) )],[refute_0_2198,refute_0_2201]) ).

cnf(refute_0_2203,plain,
    join(complement(complement(one)),join(complement(join(one,top)),complement(one))) = join(complement(complement(one)),join(complement(one),complement(join(one,top)))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(complement(complement(one)))),bind(X_51,$fot(complement(join(one,top)))),bind(X_52,$fot(complement(one)))]]) ).

cnf(refute_0_2204,plain,
    ( join(complement(complement(one)),join(complement(join(one,top)),complement(one))) != join(complement(complement(one)),join(complement(one),complement(join(one,top))))
    | join(complement(complement(one)),join(complement(one),complement(join(one,top)))) != join(top,complement(join(one,top)))
    | join(complement(complement(one)),join(complement(join(one,top)),complement(one))) = join(top,complement(join(one,top))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(complement(one)),join(complement(join(one,top)),complement(one))))),bind(Y,$fot(join(complement(complement(one)),join(complement(one),complement(join(one,top)))))),bind(Z,$fot(join(top,complement(join(one,top)))))]]) ).

cnf(refute_0_2205,plain,
    ( join(complement(complement(one)),join(complement(one),complement(join(one,top)))) != join(top,complement(join(one,top)))
    | join(complement(complement(one)),join(complement(join(one,top)),complement(one))) = join(top,complement(join(one,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(join(one,top)),complement(one))),join(complement(complement(one)),join(complement(one),complement(join(one,top))))) )],[refute_0_2203,refute_0_2204]) ).

cnf(refute_0_2206,plain,
    join(complement(complement(one)),join(complement(join(one,top)),complement(one))) = join(top,complement(join(one,top))),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(one),complement(join(one,top)))),join(top,complement(join(one,top)))) )],[refute_0_2202,refute_0_2205]) ).

cnf(refute_0_2207,plain,
    ( join(complement(complement(one)),join(complement(join(one,top)),complement(one))) != join(top,complement(join(one,top)))
    | top != join(complement(complement(one)),join(complement(join(one,top)),complement(one)))
    | top = join(top,complement(join(one,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(complement(one)),join(complement(join(one,top)),complement(one)))) ),[1],$fot(join(top,complement(join(one,top))))]]) ).

cnf(refute_0_2208,plain,
    ( top != join(complement(complement(one)),join(complement(join(one,top)),complement(one)))
    | top = join(top,complement(join(one,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(join(one,top)),complement(one))),join(top,complement(join(one,top)))) )],[refute_0_2206,refute_0_2207]) ).

cnf(refute_0_2209,plain,
    top = join(top,complement(join(one,top))),
    inference(resolve,[$cnf( $equal(top,join(complement(complement(one)),join(complement(join(one,top)),complement(one)))) )],[refute_0_2197,refute_0_2208]) ).

cnf(refute_0_2210,plain,
    ( top != join(top,complement(join(one,top)))
    | join(top,complement(join(one,top))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(join(one,top)))))]]) ).

cnf(refute_0_2211,plain,
    join(top,complement(join(one,top))) = top,
    inference(resolve,[$cnf( $equal(top,join(top,complement(join(one,top)))) )],[refute_0_2209,refute_0_2210]) ).

cnf(refute_0_2212,plain,
    converse(join(top,complement(join(one,top)))) = converse(join(top,complement(join(one,top)))),
    introduced(tautology,[refl,[$fot(converse(join(top,complement(join(one,top)))))]]) ).

cnf(refute_0_2213,plain,
    ( converse(join(top,complement(join(one,top)))) != converse(join(top,complement(join(one,top))))
    | join(top,complement(join(one,top))) != top
    | converse(join(top,complement(join(one,top)))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(top,complement(join(one,top)))),converse(join(top,complement(join(one,top))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2214,plain,
    ( join(top,complement(join(one,top))) != top
    | converse(join(top,complement(join(one,top)))) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(join(one,top)))),converse(join(top,complement(join(one,top))))) )],[refute_0_2212,refute_0_2213]) ).

cnf(refute_0_2215,plain,
    converse(join(top,complement(join(one,top)))) = converse(top),
    inference(resolve,[$cnf( $equal(join(top,complement(join(one,top))),top) )],[refute_0_2211,refute_0_2214]) ).

cnf(refute_0_2216,plain,
    ( converse(join(top,complement(join(one,top)))) != converse(top)
    | converse(top) != top
    | converse(join(top,complement(join(one,top)))) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(top,complement(join(one,top)))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_2217,plain,
    ( converse(top) != top
    | converse(join(top,complement(join(one,top)))) = top ),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(join(one,top)))),converse(top)) )],[refute_0_2215,refute_0_2216]) ).

cnf(refute_0_2218,plain,
    converse(join(top,complement(join(one,top)))) = top,
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1681,refute_0_2217]) ).

cnf(refute_0_2219,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))),
    introduced(tautology,[refl,[$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))))]]) ).

cnf(refute_0_2220,plain,
    ( converse(join(top,complement(join(one,top)))) != top
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top)))))
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top)))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2221,plain,
    ( converse(join(top,complement(join(one,top)))) != top
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top)))))) )],[refute_0_2219,refute_0_2220]) ).

cnf(refute_0_2222,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(converse(join(top,complement(join(one,top)))),top) )],[refute_0_2218,refute_0_2221]) ).

cnf(refute_0_2223,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) != join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top) != join(one,top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = join(one,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))))),bind(Y,$fot(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top))),bind(Z,$fot(join(one,top)))]]) ).

cnf(refute_0_2224,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top) != join(one,top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))),join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top)) )],[refute_0_2222,refute_0_2223]) ).

cnf(refute_0_2225,plain,
    join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) = join(one,top),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),top),join(one,top)) )],[refute_0_2047,refute_0_2224]) ).

cnf(refute_0_2226,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) != join(one,top)
    | join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) != top
    | join(one,top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))),top) ),[0],$fot(join(one,top))]]) ).

cnf(refute_0_2227,plain,
    ( join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))) != top
    | join(one,top) = top ),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))),join(one,top)) )],[refute_0_2225,refute_0_2226]) ).

cnf(refute_0_2228,plain,
    join(one,top) = top,
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)),converse(join(top,complement(join(one,top))))),top) )],[refute_0_1998,refute_0_2227]) ).

cnf(refute_0_2229,plain,
    complement(join(one,top)) = complement(join(one,top)),
    introduced(tautology,[refl,[$fot(complement(join(one,top)))]]) ).

cnf(refute_0_2230,plain,
    ( complement(join(one,top)) != complement(join(one,top))
    | join(one,top) != top
    | complement(join(one,top)) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(one,top)),complement(join(one,top))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2231,plain,
    ( join(one,top) != top
    | complement(join(one,top)) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(one,top)),complement(join(one,top))) )],[refute_0_2229,refute_0_2230]) ).

cnf(refute_0_2232,plain,
    complement(join(one,top)) = complement(top),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_2231]) ).

cnf(refute_0_2233,plain,
    ( complement(join(one,top)) != complement(top)
    | complement(top) != zero
    | complement(join(one,top)) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(one,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2234,plain,
    ( complement(top) != zero
    | complement(join(one,top)) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(one,top)),complement(top)) )],[refute_0_2232,refute_0_2233]) ).

cnf(refute_0_2235,plain,
    complement(join(one,top)) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2234]) ).

cnf(refute_0_2236,plain,
    composition(top,complement(join(one,top))) = composition(top,complement(join(one,top))),
    introduced(tautology,[refl,[$fot(composition(top,complement(join(one,top))))]]) ).

cnf(refute_0_2237,plain,
    ( complement(join(one,top)) != zero
    | composition(top,complement(join(one,top))) != composition(top,complement(join(one,top)))
    | composition(top,complement(join(one,top))) = composition(top,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(join(one,top))),composition(top,complement(join(one,top)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2238,plain,
    ( complement(join(one,top)) != zero
    | composition(top,complement(join(one,top))) = composition(top,zero) ),
    inference(resolve,[$cnf( $equal(composition(top,complement(join(one,top))),composition(top,complement(join(one,top)))) )],[refute_0_2236,refute_0_2237]) ).

cnf(refute_0_2239,plain,
    composition(top,complement(join(one,top))) = composition(top,zero),
    inference(resolve,[$cnf( $equal(complement(join(one,top)),zero) )],[refute_0_2235,refute_0_2238]) ).

cnf(refute_0_2240,plain,
    composition(join(one,top),complement(join(one,top))) = composition(join(one,top),complement(join(one,top))),
    introduced(tautology,[refl,[$fot(composition(join(one,top),complement(join(one,top))))]]) ).

cnf(refute_0_2241,plain,
    ( composition(join(one,top),complement(join(one,top))) != composition(join(one,top),complement(join(one,top)))
    | join(one,top) != top
    | composition(join(one,top),complement(join(one,top))) = composition(top,complement(join(one,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),complement(join(one,top))),composition(join(one,top),complement(join(one,top)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2242,plain,
    ( join(one,top) != top
    | composition(join(one,top),complement(join(one,top))) = composition(top,complement(join(one,top))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(join(one,top))),composition(join(one,top),complement(join(one,top)))) )],[refute_0_2240,refute_0_2241]) ).

cnf(refute_0_2243,plain,
    composition(join(one,top),complement(join(one,top))) = composition(top,complement(join(one,top))),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_2242]) ).

cnf(refute_0_2244,plain,
    ( composition(join(one,top),complement(join(one,top))) != composition(top,complement(join(one,top)))
    | composition(top,complement(join(one,top))) != composition(top,zero)
    | composition(join(one,top),complement(join(one,top))) = composition(top,zero) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(one,top),complement(join(one,top))))),bind(Y,$fot(composition(top,complement(join(one,top))))),bind(Z,$fot(composition(top,zero)))]]) ).

cnf(refute_0_2245,plain,
    ( composition(top,complement(join(one,top))) != composition(top,zero)
    | composition(join(one,top),complement(join(one,top))) = composition(top,zero) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(join(one,top))),composition(top,complement(join(one,top)))) )],[refute_0_2243,refute_0_2244]) ).

cnf(refute_0_2246,plain,
    composition(join(one,top),complement(join(one,top))) = composition(top,zero),
    inference(resolve,[$cnf( $equal(composition(top,complement(join(one,top))),composition(top,zero)) )],[refute_0_2239,refute_0_2245]) ).

cnf(refute_0_2247,plain,
    join(composition(join(one,top),complement(join(one,top))),X2) = join(composition(join(one,top),complement(join(one,top))),X2),
    introduced(tautology,[refl,[$fot(join(composition(join(one,top),complement(join(one,top))),X2))]]) ).

cnf(refute_0_2248,plain,
    ( composition(join(one,top),complement(join(one,top))) != composition(top,zero)
    | join(composition(join(one,top),complement(join(one,top))),X2) != join(composition(join(one,top),complement(join(one,top))),X2)
    | join(composition(join(one,top),complement(join(one,top))),X2) = join(composition(top,zero),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(join(one,top),complement(join(one,top))),X2),join(composition(join(one,top),complement(join(one,top))),X2)) ),[1,0],$fot(composition(top,zero))]]) ).

cnf(refute_0_2249,plain,
    ( composition(join(one,top),complement(join(one,top))) != composition(top,zero)
    | join(composition(join(one,top),complement(join(one,top))),X2) = join(composition(top,zero),X2) ),
    inference(resolve,[$cnf( $equal(join(composition(join(one,top),complement(join(one,top))),X2),join(composition(join(one,top),complement(join(one,top))),X2)) )],[refute_0_2247,refute_0_2248]) ).

cnf(refute_0_2250,plain,
    join(composition(join(one,top),complement(join(one,top))),X2) = join(composition(top,zero),X2),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(join(one,top))),composition(top,zero)) )],[refute_0_2246,refute_0_2249]) ).

cnf(refute_0_2251,plain,
    join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(top,join(composition(join(one,top),complement(join(one,top))),X2)),
    introduced(tautology,[refl,[$fot(join(top,join(composition(join(one,top),complement(join(one,top))),X2)))]]) ).

cnf(refute_0_2252,plain,
    ( join(composition(join(one,top),complement(join(one,top))),X2) != join(composition(top,zero),X2)
    | join(top,join(composition(join(one,top),complement(join(one,top))),X2)) != join(top,join(composition(join(one,top),complement(join(one,top))),X2))
    | join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(top,join(composition(top,zero),X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(composition(join(one,top),complement(join(one,top))),X2)),join(top,join(composition(join(one,top),complement(join(one,top))),X2))) ),[1,1],$fot(join(composition(top,zero),X2))]]) ).

cnf(refute_0_2253,plain,
    ( join(composition(join(one,top),complement(join(one,top))),X2) != join(composition(top,zero),X2)
    | join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(top,join(composition(top,zero),X2)) ),
    inference(resolve,[$cnf( $equal(join(top,join(composition(join(one,top),complement(join(one,top))),X2)),join(top,join(composition(join(one,top),complement(join(one,top))),X2))) )],[refute_0_2251,refute_0_2252]) ).

cnf(refute_0_2254,plain,
    join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(top,join(composition(top,zero),X2)),
    inference(resolve,[$cnf( $equal(join(composition(join(one,top),complement(join(one,top))),X2),join(composition(top,zero),X2)) )],[refute_0_2250,refute_0_2253]) ).

cnf(refute_0_2255,plain,
    ( join(top,join(composition(join(one,top),complement(join(one,top))),X2)) != join(top,join(composition(top,zero),X2))
    | join(top,join(composition(top,zero),X2)) != join(X2,top)
    | join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(X2,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(top,join(composition(join(one,top),complement(join(one,top))),X2)))),bind(Y,$fot(join(top,join(composition(top,zero),X2)))),bind(Z,$fot(join(X2,top)))]]) ).

cnf(refute_0_2256,plain,
    ( join(top,join(composition(top,zero),X2)) != join(X2,top)
    | join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(X2,top) ),
    inference(resolve,[$cnf( $equal(join(top,join(composition(join(one,top),complement(join(one,top))),X2)),join(top,join(composition(top,zero),X2))) )],[refute_0_2254,refute_0_2255]) ).

cnf(refute_0_2257,plain,
    join(top,join(composition(join(one,top),complement(join(one,top))),X2)) = join(X2,top),
    inference(resolve,[$cnf( $equal(join(top,join(composition(top,zero),X2)),join(X2,top)) )],[refute_0_1848,refute_0_2256]) ).

cnf(refute_0_2258,plain,
    ( join(top,join(composition(join(one,top),complement(join(one,top))),X2)) != join(X2,top)
    | join(top,join(composition(join(one,top),complement(join(one,top))),X2)) != join(top,X2)
    | join(X2,top) = join(top,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(composition(join(one,top),complement(join(one,top))),X2)),join(top,X2)) ),[0],$fot(join(X2,top))]]) ).

cnf(refute_0_2259,plain,
    ( join(top,join(composition(join(one,top),complement(join(one,top))),X2)) != join(top,X2)
    | join(X2,top) = join(top,X2) ),
    inference(resolve,[$cnf( $equal(join(top,join(composition(join(one,top),complement(join(one,top))),X2)),join(X2,top)) )],[refute_0_2257,refute_0_2258]) ).

cnf(refute_0_2260,plain,
    join(X2,top) = join(top,X2),
    inference(resolve,[$cnf( $equal(join(top,join(composition(join(one,top),complement(join(one,top))),X2)),join(top,X2)) )],[refute_0_1826,refute_0_2259]) ).

cnf(refute_0_2261,plain,
    join(join(complement(X_98),meet(X_98,X_98)),top) = join(top,join(complement(X_98),meet(X_98,X_98))),
    inference(subst,[],[refute_0_2260:[bind(X2,$fot(join(complement(X_98),meet(X_98,X_98))))]]) ).

cnf(refute_0_2262,plain,
    ( join(join(complement(X_98),meet(X_98,X_98)),top) != join(top,join(complement(X_98),meet(X_98,X_98)))
    | join(top,join(complement(X_98),meet(X_98,X_98))) != join(X_98,top)
    | join(join(complement(X_98),meet(X_98,X_98)),top) = join(X_98,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(complement(X_98),meet(X_98,X_98)),top))),bind(Y,$fot(join(top,join(complement(X_98),meet(X_98,X_98))))),bind(Z,$fot(join(X_98,top)))]]) ).

cnf(refute_0_2263,plain,
    ( join(top,join(complement(X_98),meet(X_98,X_98))) != join(X_98,top)
    | join(join(complement(X_98),meet(X_98,X_98)),top) = join(X_98,top) ),
    inference(resolve,[$cnf( $equal(join(join(complement(X_98),meet(X_98,X_98)),top),join(top,join(complement(X_98),meet(X_98,X_98)))) )],[refute_0_2261,refute_0_2262]) ).

cnf(refute_0_2264,plain,
    join(join(complement(X_98),meet(X_98,X_98)),top) = join(X_98,top),
    inference(resolve,[$cnf( $equal(join(top,join(complement(X_98),meet(X_98,X_98))),join(X_98,top)) )],[refute_0_1738,refute_0_2263]) ).

cnf(refute_0_2265,plain,
    ( join(join(complement(X_98),meet(X_98,X_98)),top) != join(X_98,top)
    | join(join(complement(X_98),meet(X_98,X_98)),top) != join(top,top)
    | join(X_98,top) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_98),meet(X_98,X_98)),top),join(top,top)) ),[0],$fot(join(X_98,top))]]) ).

cnf(refute_0_2266,plain,
    ( join(join(complement(X_98),meet(X_98,X_98)),top) != join(top,top)
    | join(X_98,top) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(join(complement(X_98),meet(X_98,X_98)),top),join(X_98,top)) )],[refute_0_2264,refute_0_2265]) ).

cnf(refute_0_2267,plain,
    ( join(one,top) != join(top,top)
    | join(one,top) != top
    | top = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(top,top)) ),[0],$fot(top)]]) ).

cnf(refute_0_2268,plain,
    ( join(one,top) != join(top,top)
    | top = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_2267]) ).

cnf(refute_0_2269,plain,
    top = join(top,top),
    inference(resolve,[$cnf( $equal(join(one,top),join(top,top)) )],[refute_0_955,refute_0_2268]) ).

cnf(refute_0_2270,plain,
    ( top != join(top,top)
    | join(top,top) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,top)))]]) ).

cnf(refute_0_2271,plain,
    join(top,top) = top,
    inference(resolve,[$cnf( $equal(top,join(top,top)) )],[refute_0_2269,refute_0_2270]) ).

cnf(refute_0_2272,plain,
    ( join(X_98,top) != join(top,top)
    | join(top,top) != top
    | join(X_98,top) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_98,top),top) ),[0],$fot(join(top,top))]]) ).

cnf(refute_0_2273,plain,
    ( join(X_98,top) != join(top,top)
    | join(X_98,top) = top ),
    inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_2271,refute_0_2272]) ).

cnf(refute_0_2274,plain,
    ( join(join(complement(X_98),meet(X_98,X_98)),top) != join(top,top)
    | join(X_98,top) = top ),
    inference(resolve,[$cnf( $equal(join(X_98,top),join(top,top)) )],[refute_0_2266,refute_0_2273]) ).

cnf(refute_0_2275,plain,
    join(X_98,top) = top,
    inference(resolve,[$cnf( $equal(join(join(complement(X_98),meet(X_98,X_98)),top),join(top,top)) )],[refute_0_1728,refute_0_2274]) ).

cnf(refute_0_2276,plain,
    join(X_50,top) = top,
    inference(subst,[],[refute_0_2275:[bind(X_98,$fot(X_50))]]) ).

cnf(refute_0_2277,plain,
    ( join(X_50,top) != join(top,X_50)
    | join(X_50,top) != top
    | top = join(top,X_50) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_50,top),join(top,X_50)) ),[0],$fot(top)]]) ).

cnf(refute_0_2278,plain,
    ( join(X_50,top) != join(top,X_50)
    | top = join(top,X_50) ),
    inference(resolve,[$cnf( $equal(join(X_50,top),top) )],[refute_0_2276,refute_0_2277]) ).

cnf(refute_0_2279,plain,
    top = join(top,X_50),
    inference(resolve,[$cnf( $equal(join(X_50,top),join(top,X_50)) )],[refute_0_1695,refute_0_2278]) ).

cnf(refute_0_2280,plain,
    ( top != join(top,X_50)
    | join(top,X_50) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_50)))]]) ).

cnf(refute_0_2281,plain,
    join(top,X_50) = top,
    inference(resolve,[$cnf( $equal(top,join(top,X_50)) )],[refute_0_2279,refute_0_2280]) ).

cnf(refute_0_2282,plain,
    join(top,X_52) = top,
    inference(subst,[],[refute_0_2281:[bind(X_50,$fot(X_52))]]) ).

cnf(refute_0_2283,plain,
    complement(join(top,X_52)) = complement(join(top,X_52)),
    introduced(tautology,[refl,[$fot(complement(join(top,X_52)))]]) ).

cnf(refute_0_2284,plain,
    ( complement(join(top,X_52)) != complement(join(top,X_52))
    | join(top,X_52) != top
    | complement(join(top,X_52)) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,X_52)),complement(join(top,X_52))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2285,plain,
    ( join(top,X_52) != top
    | complement(join(top,X_52)) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(top,X_52)),complement(join(top,X_52))) )],[refute_0_2283,refute_0_2284]) ).

cnf(refute_0_2286,plain,
    complement(join(top,X_52)) = complement(top),
    inference(resolve,[$cnf( $equal(join(top,X_52),top) )],[refute_0_2282,refute_0_2285]) ).

cnf(refute_0_2287,plain,
    ( complement(join(top,X_52)) != complement(top)
    | complement(top) != zero
    | complement(join(top,X_52)) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(top,X_52)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2288,plain,
    ( complement(top) != zero
    | complement(join(top,X_52)) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,X_52)),complement(top)) )],[refute_0_2286,refute_0_2287]) ).

cnf(refute_0_2289,plain,
    complement(join(top,X_52)) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2288]) ).

cnf(refute_0_2290,plain,
    join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))) = join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))),
    introduced(tautology,[refl,[$fot(join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))))]]) ).

cnf(refute_0_2291,plain,
    ( complement(join(top,X_52)) != zero
    | join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))) != join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52)))
    | join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))) = join(zero,meet(X_88,join(complement(complement(X_88)),X_52))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))),join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2292,plain,
    ( complement(join(top,X_52)) != zero
    | join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))) = join(zero,meet(X_88,join(complement(complement(X_88)),X_52))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))),join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52)))) )],[refute_0_2290,refute_0_2291]) ).

cnf(refute_0_2293,plain,
    join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))) = join(zero,meet(X_88,join(complement(complement(X_88)),X_52))),
    inference(resolve,[$cnf( $equal(complement(join(top,X_52)),zero) )],[refute_0_2289,refute_0_2292]) ).

cnf(refute_0_2294,plain,
    ( X_88 != join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52)))
    | join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))) != join(zero,meet(X_88,join(complement(complement(X_88)),X_52)))
    | X_88 = join(zero,meet(X_88,join(complement(complement(X_88)),X_52))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,join(zero,meet(X_88,join(complement(complement(X_88)),X_52)))) ),[0],$fot(join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))))]]) ).

cnf(refute_0_2295,plain,
    ( X_88 != join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52)))
    | X_88 = join(zero,meet(X_88,join(complement(complement(X_88)),X_52))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52))),join(zero,meet(X_88,join(complement(complement(X_88)),X_52)))) )],[refute_0_2293,refute_0_2294]) ).

cnf(refute_0_2296,plain,
    X_88 = join(zero,meet(X_88,join(complement(complement(X_88)),X_52))),
    inference(resolve,[$cnf( $equal(X_88,join(complement(join(top,X_52)),meet(X_88,join(complement(complement(X_88)),X_52)))) )],[refute_0_81,refute_0_2295]) ).

cnf(refute_0_2297,plain,
    meet(X_67,top) = join(meet(meet(X_67,top),join(zero,complement(X_67))),complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))),
    inference(subst,[],[refute_0_55:[bind(X0,$fot(meet(X_67,top))),bind(X1,$fot(join(zero,complement(X_67))))]]) ).

cnf(refute_0_2298,plain,
    zero = meet(join(zero,complement(X_34)),complement(join(zero,complement(X_34)))),
    inference(subst,[],[refute_0_82:[bind(X0,$fot(join(zero,complement(X_34))))]]) ).

cnf(refute_0_2299,plain,
    meet(top,X_34) = complement(join(zero,complement(X_34))),
    inference(subst,[],[refute_0_1032:[bind(X1,$fot(X_34))]]) ).

cnf(refute_0_2300,plain,
    ( meet(top,X_34) != complement(join(zero,complement(X_34)))
    | complement(join(zero,complement(X_34))) = meet(top,X_34) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,X_34))),bind(Y,$fot(complement(join(zero,complement(X_34)))))]]) ).

cnf(refute_0_2301,plain,
    complement(join(zero,complement(X_34))) = meet(top,X_34),
    inference(resolve,[$cnf( $equal(meet(top,X_34),complement(join(zero,complement(X_34)))) )],[refute_0_2299,refute_0_2300]) ).

cnf(refute_0_2302,plain,
    ( complement(join(zero,complement(X_34))) != meet(top,X_34)
    | zero != meet(join(zero,complement(X_34)),complement(join(zero,complement(X_34))))
    | zero = meet(join(zero,complement(X_34)),meet(top,X_34)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_34)),complement(join(zero,complement(X_34))))) ),[1,1],$fot(meet(top,X_34))]]) ).

cnf(refute_0_2303,plain,
    ( zero != meet(join(zero,complement(X_34)),complement(join(zero,complement(X_34))))
    | zero = meet(join(zero,complement(X_34)),meet(top,X_34)) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_34))),meet(top,X_34)) )],[refute_0_2301,refute_0_2302]) ).

cnf(refute_0_2304,plain,
    zero = meet(join(zero,complement(X_34)),meet(top,X_34)),
    inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_34)),complement(join(zero,complement(X_34))))) )],[refute_0_2298,refute_0_2303]) ).

cnf(refute_0_2305,plain,
    join(complement(X_32),complement(X_31)) = join(complement(X_31),complement(X_32)),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(complement(X_32))),bind(X1,$fot(complement(X_31)))]]) ).

cnf(refute_0_2306,plain,
    ( join(complement(X_32),complement(X_31)) != join(complement(X_31),complement(X_32))
    | join(complement(X_31),complement(X_32)) = join(complement(X_32),complement(X_31)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_32),complement(X_31)))),bind(Y,$fot(join(complement(X_31),complement(X_32))))]]) ).

cnf(refute_0_2307,plain,
    join(complement(X_31),complement(X_32)) = join(complement(X_32),complement(X_31)),
    inference(resolve,[$cnf( $equal(join(complement(X_32),complement(X_31)),join(complement(X_31),complement(X_32))) )],[refute_0_2305,refute_0_2306]) ).

cnf(refute_0_2308,plain,
    ( join(complement(X_31),complement(X_32)) != join(complement(X_32),complement(X_31))
    | meet(X_31,X_32) != complement(join(complement(X_31),complement(X_32)))
    | meet(X_31,X_32) = complement(join(complement(X_32),complement(X_31))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_31,X_32),complement(join(complement(X_31),complement(X_32)))) ),[1,0],$fot(join(complement(X_32),complement(X_31)))]]) ).

cnf(refute_0_2309,plain,
    ( meet(X_31,X_32) != complement(join(complement(X_31),complement(X_32)))
    | meet(X_31,X_32) = complement(join(complement(X_32),complement(X_31))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_31),complement(X_32)),join(complement(X_32),complement(X_31))) )],[refute_0_2307,refute_0_2308]) ).

cnf(refute_0_2310,plain,
    meet(X_31,X_32) = complement(join(complement(X_32),complement(X_31))),
    inference(resolve,[$cnf( $equal(meet(X_31,X_32),complement(join(complement(X_31),complement(X_32)))) )],[refute_0_84,refute_0_2309]) ).

cnf(refute_0_2311,plain,
    complement(join(complement(X_32),complement(X_31))) = meet(X_32,X_31),
    inference(subst,[],[refute_0_43:[bind(X0,$fot(X_32)),bind(X1,$fot(X_31))]]) ).

cnf(refute_0_2312,plain,
    ( complement(join(complement(X_32),complement(X_31))) != meet(X_32,X_31)
    | meet(X_31,X_32) != complement(join(complement(X_32),complement(X_31)))
    | meet(X_31,X_32) = meet(X_32,X_31) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_31,X_32),complement(join(complement(X_32),complement(X_31)))) ),[1],$fot(meet(X_32,X_31))]]) ).

cnf(refute_0_2313,plain,
    ( meet(X_31,X_32) != complement(join(complement(X_32),complement(X_31)))
    | meet(X_31,X_32) = meet(X_32,X_31) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_32),complement(X_31))),meet(X_32,X_31)) )],[refute_0_2311,refute_0_2312]) ).

cnf(refute_0_2314,plain,
    meet(X_31,X_32) = meet(X_32,X_31),
    inference(resolve,[$cnf( $equal(meet(X_31,X_32),complement(join(complement(X_32),complement(X_31)))) )],[refute_0_2310,refute_0_2313]) ).

cnf(refute_0_2315,plain,
    ( meet(X_31,X_32) != meet(X_32,X_31)
    | meet(X_32,X_31) = meet(X_31,X_32) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_31,X_32))),bind(Y,$fot(meet(X_32,X_31)))]]) ).

cnf(refute_0_2316,plain,
    meet(X_32,X_31) = meet(X_31,X_32),
    inference(resolve,[$cnf( $equal(meet(X_31,X_32),meet(X_32,X_31)) )],[refute_0_2314,refute_0_2315]) ).

cnf(refute_0_2317,plain,
    meet(join(zero,complement(X_34)),meet(top,X_34)) = meet(meet(top,X_34),join(zero,complement(X_34))),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(meet(top,X_34))),bind(X_32,$fot(join(zero,complement(X_34))))]]) ).

cnf(refute_0_2318,plain,
    ( meet(join(zero,complement(X_34)),meet(top,X_34)) != meet(meet(top,X_34),join(zero,complement(X_34)))
    | zero != meet(join(zero,complement(X_34)),meet(top,X_34))
    | zero = meet(meet(top,X_34),join(zero,complement(X_34))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_34)),meet(top,X_34))) ),[1],$fot(meet(meet(top,X_34),join(zero,complement(X_34))))]]) ).

cnf(refute_0_2319,plain,
    ( zero != meet(join(zero,complement(X_34)),meet(top,X_34))
    | zero = meet(meet(top,X_34),join(zero,complement(X_34))) ),
    inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_34)),meet(top,X_34)),meet(meet(top,X_34),join(zero,complement(X_34)))) )],[refute_0_2317,refute_0_2318]) ).

cnf(refute_0_2320,plain,
    zero = meet(meet(top,X_34),join(zero,complement(X_34))),
    inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_34)),meet(top,X_34))) )],[refute_0_2304,refute_0_2319]) ).

cnf(refute_0_2321,plain,
    zero = meet(meet(top,X_67),join(zero,complement(X_67))),
    inference(subst,[],[refute_0_2320:[bind(X_34,$fot(X_67))]]) ).

cnf(refute_0_2322,plain,
    meet(X_67,top) = meet(top,X_67),
    inference(subst,[],[refute_0_2314:[bind(X_31,$fot(X_67)),bind(X_32,$fot(top))]]) ).

cnf(refute_0_2323,plain,
    ( meet(X_67,top) != meet(top,X_67)
    | meet(top,X_67) = meet(X_67,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_67,top))),bind(Y,$fot(meet(top,X_67)))]]) ).

cnf(refute_0_2324,plain,
    meet(top,X_67) = meet(X_67,top),
    inference(resolve,[$cnf( $equal(meet(X_67,top),meet(top,X_67)) )],[refute_0_2322,refute_0_2323]) ).

cnf(refute_0_2325,plain,
    ( meet(top,X_67) != meet(X_67,top)
    | zero != meet(meet(top,X_67),join(zero,complement(X_67)))
    | zero = meet(meet(X_67,top),join(zero,complement(X_67))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(top,X_67),join(zero,complement(X_67)))) ),[1,0],$fot(meet(X_67,top))]]) ).

cnf(refute_0_2326,plain,
    ( zero != meet(meet(top,X_67),join(zero,complement(X_67)))
    | zero = meet(meet(X_67,top),join(zero,complement(X_67))) ),
    inference(resolve,[$cnf( $equal(meet(top,X_67),meet(X_67,top)) )],[refute_0_2324,refute_0_2325]) ).

cnf(refute_0_2327,plain,
    zero = meet(meet(X_67,top),join(zero,complement(X_67))),
    inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_67),join(zero,complement(X_67)))) )],[refute_0_2321,refute_0_2326]) ).

cnf(refute_0_2328,plain,
    ( zero != meet(meet(X_67,top),join(zero,complement(X_67)))
    | meet(meet(X_67,top),join(zero,complement(X_67))) = zero ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(X_67,top),join(zero,complement(X_67)))))]]) ).

cnf(refute_0_2329,plain,
    meet(meet(X_67,top),join(zero,complement(X_67))) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(meet(X_67,top),join(zero,complement(X_67)))) )],[refute_0_2327,refute_0_2328]) ).

cnf(refute_0_2330,plain,
    ( meet(X_67,top) != join(meet(meet(X_67,top),join(zero,complement(X_67))),complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))
    | meet(meet(X_67,top),join(zero,complement(X_67))) != zero
    | meet(X_67,top) = join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_67,top),join(meet(meet(X_67,top),join(zero,complement(X_67))),complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2331,plain,
    ( meet(X_67,top) != join(meet(meet(X_67,top),join(zero,complement(X_67))),complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))
    | meet(X_67,top) = join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_67,top),join(zero,complement(X_67))),zero) )],[refute_0_2329,refute_0_2330]) ).

cnf(refute_0_2332,plain,
    meet(X_67,top) = join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))),
    inference(resolve,[$cnf( $equal(meet(X_67,top),join(meet(meet(X_67,top),join(zero,complement(X_67))),complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))) )],[refute_0_2297,refute_0_2331]) ).

cnf(refute_0_2333,plain,
    join(zero,join(complement(meet(X_67,top)),complement(X_67))) = join(zero,join(complement(X_67),complement(meet(X_67,top)))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(zero)),bind(X_51,$fot(complement(meet(X_67,top)))),bind(X_52,$fot(complement(X_67)))]]) ).

cnf(refute_0_2334,plain,
    join(complement(meet(X_67,top)),join(zero,complement(X_67))) = join(zero,join(complement(meet(X_67,top)),complement(X_67))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(zero)),bind(X_51,$fot(complement(meet(X_67,top)))),bind(X_52,$fot(complement(X_67)))]]) ).

cnf(refute_0_2335,plain,
    ( join(complement(meet(X_67,top)),join(zero,complement(X_67))) != join(zero,join(complement(meet(X_67,top)),complement(X_67)))
    | join(zero,join(complement(meet(X_67,top)),complement(X_67))) != join(zero,join(complement(X_67),complement(meet(X_67,top))))
    | join(complement(meet(X_67,top)),join(zero,complement(X_67))) = join(zero,join(complement(X_67),complement(meet(X_67,top)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(meet(X_67,top)),join(zero,complement(X_67))))),bind(Y,$fot(join(zero,join(complement(meet(X_67,top)),complement(X_67))))),bind(Z,$fot(join(zero,join(complement(X_67),complement(meet(X_67,top))))))]]) ).

cnf(refute_0_2336,plain,
    ( join(zero,join(complement(meet(X_67,top)),complement(X_67))) != join(zero,join(complement(X_67),complement(meet(X_67,top))))
    | join(complement(meet(X_67,top)),join(zero,complement(X_67))) = join(zero,join(complement(X_67),complement(meet(X_67,top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_67,top)),join(zero,complement(X_67))),join(zero,join(complement(meet(X_67,top)),complement(X_67)))) )],[refute_0_2334,refute_0_2335]) ).

cnf(refute_0_2337,plain,
    join(complement(meet(X_67,top)),join(zero,complement(X_67))) = join(zero,join(complement(X_67),complement(meet(X_67,top)))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(meet(X_67,top)),complement(X_67))),join(zero,join(complement(X_67),complement(meet(X_67,top))))) )],[refute_0_2333,refute_0_2336]) ).

cnf(refute_0_2338,plain,
    complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))) = complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))),
    introduced(tautology,[refl,[$fot(complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))]]) ).

cnf(refute_0_2339,plain,
    ( complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))) != complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))
    | join(complement(meet(X_67,top)),join(zero,complement(X_67))) != join(zero,join(complement(X_67),complement(meet(X_67,top))))
    | complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))) = complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))),complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))) ),[1,0],$fot(join(zero,join(complement(X_67),complement(meet(X_67,top)))))]]) ).

cnf(refute_0_2340,plain,
    ( join(complement(meet(X_67,top)),join(zero,complement(X_67))) != join(zero,join(complement(X_67),complement(meet(X_67,top))))
    | complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))) = complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))),complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))) )],[refute_0_2338,refute_0_2339]) ).

cnf(refute_0_2341,plain,
    complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))) = complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_67,top)),join(zero,complement(X_67))),join(zero,join(complement(X_67),complement(meet(X_67,top))))) )],[refute_0_2337,refute_0_2340]) ).

cnf(refute_0_2342,plain,
    join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))) = join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))))]]) ).

cnf(refute_0_2343,plain,
    ( complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))) != complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))
    | join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))) != join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))
    | join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))) = join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))),join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))) ),[1,1],$fot(complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))]]) ).

cnf(refute_0_2344,plain,
    ( complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))) != complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))
    | join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))) = join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))),join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))) )],[refute_0_2342,refute_0_2343]) ).

cnf(refute_0_2345,plain,
    join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))) = join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))),
    inference(resolve,[$cnf( $equal(complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))),complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) )],[refute_0_2341,refute_0_2344]) ).

cnf(refute_0_2346,plain,
    ( join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))) != join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))
    | meet(X_67,top) != join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))
    | meet(X_67,top) = join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_67,top),join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))) ),[1],$fot(join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))))]]) ).

cnf(refute_0_2347,plain,
    ( meet(X_67,top) != join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))
    | meet(X_67,top) = join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67))))),join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))) )],[refute_0_2345,refute_0_2346]) ).

cnf(refute_0_2348,plain,
    meet(X_67,top) = join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))),
    inference(resolve,[$cnf( $equal(meet(X_67,top),join(zero,complement(join(complement(meet(X_67,top)),join(zero,complement(X_67)))))) )],[refute_0_2332,refute_0_2347]) ).

cnf(refute_0_2349,plain,
    X_88 = join(meet(X_88,top),complement(join(complement(X_88),top))),
    inference(subst,[],[refute_0_55:[bind(X0,$fot(X_88)),bind(X1,$fot(top))]]) ).

cnf(refute_0_2350,plain,
    meet(X0,top) = complement(join(complement(X0),complement(top))),
    inference(subst,[],[refute_0_41:[bind(X1,$fot(top))]]) ).

cnf(refute_0_2351,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_2352,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_109,refute_0_2351]) ).

cnf(refute_0_2353,plain,
    meet(X0,top) = complement(join(complement(X0),zero)),
    inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_2350,refute_0_2352]) ).

cnf(refute_0_2354,plain,
    ( meet(top,X1) != complement(join(zero,complement(X1)))
    | complement(join(zero,complement(X1))) = meet(top,X1) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).

cnf(refute_0_2355,plain,
    complement(join(zero,complement(X1))) = meet(top,X1),
    inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_1032,refute_0_2354]) ).

cnf(refute_0_2356,plain,
    complement(join(zero,complement(X0))) = meet(top,X0),
    inference(subst,[],[refute_0_2355:[bind(X1,$fot(X0))]]) ).

cnf(refute_0_2357,plain,
    join(complement(X0),zero) = join(zero,complement(X0)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).

cnf(refute_0_2358,plain,
    complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
    introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).

cnf(refute_0_2359,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_2360,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_2358,refute_0_2359]) ).

cnf(refute_0_2361,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_2357,refute_0_2360]) ).

cnf(refute_0_2362,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_49:[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_2363,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_2361,refute_0_2362]) ).

cnf(refute_0_2364,plain,
    complement(join(complement(X0),zero)) = meet(top,X0),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_2356,refute_0_2363]) ).

cnf(refute_0_2365,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_2366,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_2364,refute_0_2365]) ).

cnf(refute_0_2367,plain,
    meet(X0,top) = meet(top,X0),
    inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_2353,refute_0_2366]) ).

cnf(refute_0_2368,plain,
    meet(X_88,top) = meet(top,X_88),
    inference(subst,[],[refute_0_2367:[bind(X0,$fot(X_88))]]) ).

cnf(refute_0_2369,plain,
    ( X_88 != join(meet(X_88,top),complement(join(complement(X_88),top)))
    | meet(X_88,top) != meet(top,X_88)
    | X_88 = join(meet(top,X_88),complement(join(complement(X_88),top))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_88,join(meet(X_88,top),complement(join(complement(X_88),top)))) ),[1,0],$fot(meet(top,X_88))]]) ).

cnf(refute_0_2370,plain,
    ( X_88 != join(meet(X_88,top),complement(join(complement(X_88),top)))
    | X_88 = join(meet(top,X_88),complement(join(complement(X_88),top))) ),
    inference(resolve,[$cnf( $equal(meet(X_88,top),meet(top,X_88)) )],[refute_0_2368,refute_0_2369]) ).

cnf(refute_0_2371,plain,
    X_88 = join(meet(top,X_88),complement(join(complement(X_88),top))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,top),complement(join(complement(X_88),top)))) )],[refute_0_2349,refute_0_2370]) ).

cnf(refute_0_2372,plain,
    join(complement(X_88),top) = join(top,complement(X_88)),
    inference(subst,[],[refute_0_1649:[bind(X0,$fot(complement(X_88)))]]) ).

cnf(refute_0_2373,plain,
    complement(join(complement(X_88),top)) = complement(join(complement(X_88),top)),
    introduced(tautology,[refl,[$fot(complement(join(complement(X_88),top)))]]) ).

cnf(refute_0_2374,plain,
    ( complement(join(complement(X_88),top)) != complement(join(complement(X_88),top))
    | join(complement(X_88),top) != join(top,complement(X_88))
    | complement(join(complement(X_88),top)) = complement(join(top,complement(X_88))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_88),top)),complement(join(complement(X_88),top))) ),[1,0],$fot(join(top,complement(X_88)))]]) ).

cnf(refute_0_2375,plain,
    ( join(complement(X_88),top) != join(top,complement(X_88))
    | complement(join(complement(X_88),top)) = complement(join(top,complement(X_88))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_88),top)),complement(join(complement(X_88),top))) )],[refute_0_2373,refute_0_2374]) ).

cnf(refute_0_2376,plain,
    complement(join(complement(X_88),top)) = complement(join(top,complement(X_88))),
    inference(resolve,[$cnf( $equal(join(complement(X_88),top),join(top,complement(X_88))) )],[refute_0_2372,refute_0_2375]) ).

cnf(refute_0_2377,plain,
    join(meet(top,X_88),complement(join(complement(X_88),top))) = join(meet(top,X_88),complement(join(complement(X_88),top))),
    introduced(tautology,[refl,[$fot(join(meet(top,X_88),complement(join(complement(X_88),top))))]]) ).

cnf(refute_0_2378,plain,
    ( complement(join(complement(X_88),top)) != complement(join(top,complement(X_88)))
    | join(meet(top,X_88),complement(join(complement(X_88),top))) != join(meet(top,X_88),complement(join(complement(X_88),top)))
    | join(meet(top,X_88),complement(join(complement(X_88),top))) = join(meet(top,X_88),complement(join(top,complement(X_88)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_88),complement(join(complement(X_88),top))),join(meet(top,X_88),complement(join(complement(X_88),top)))) ),[1,1],$fot(complement(join(top,complement(X_88))))]]) ).

cnf(refute_0_2379,plain,
    ( complement(join(complement(X_88),top)) != complement(join(top,complement(X_88)))
    | join(meet(top,X_88),complement(join(complement(X_88),top))) = join(meet(top,X_88),complement(join(top,complement(X_88)))) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_88),complement(join(complement(X_88),top))),join(meet(top,X_88),complement(join(complement(X_88),top)))) )],[refute_0_2377,refute_0_2378]) ).

cnf(refute_0_2380,plain,
    join(meet(top,X_88),complement(join(complement(X_88),top))) = join(meet(top,X_88),complement(join(top,complement(X_88)))),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_88),top)),complement(join(top,complement(X_88)))) )],[refute_0_2376,refute_0_2379]) ).

cnf(refute_0_2381,plain,
    ( X_88 != join(meet(top,X_88),complement(join(complement(X_88),top)))
    | join(meet(top,X_88),complement(join(complement(X_88),top))) != join(meet(top,X_88),complement(join(top,complement(X_88))))
    | X_88 = join(meet(top,X_88),complement(join(top,complement(X_88)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,join(meet(top,X_88),complement(join(top,complement(X_88))))) ),[0],$fot(join(meet(top,X_88),complement(join(complement(X_88),top))))]]) ).

cnf(refute_0_2382,plain,
    ( X_88 != join(meet(top,X_88),complement(join(complement(X_88),top)))
    | X_88 = join(meet(top,X_88),complement(join(top,complement(X_88)))) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_88),complement(join(complement(X_88),top))),join(meet(top,X_88),complement(join(top,complement(X_88))))) )],[refute_0_2380,refute_0_2381]) ).

cnf(refute_0_2383,plain,
    X_88 = join(meet(top,X_88),complement(join(top,complement(X_88)))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(top,X_88),complement(join(complement(X_88),top)))) )],[refute_0_2371,refute_0_2382]) ).

cnf(refute_0_2384,plain,
    join(meet(top,X_88),zero) = join(zero,meet(top,X_88)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,X_88)))]]) ).

cnf(refute_0_2385,plain,
    join(top,complement(X_88)) = top,
    inference(subst,[],[refute_0_2281:[bind(X_50,$fot(complement(X_88)))]]) ).

cnf(refute_0_2386,plain,
    complement(join(top,complement(X_88))) = complement(join(top,complement(X_88))),
    introduced(tautology,[refl,[$fot(complement(join(top,complement(X_88))))]]) ).

cnf(refute_0_2387,plain,
    ( complement(join(top,complement(X_88))) != complement(join(top,complement(X_88)))
    | join(top,complement(X_88)) != top
    | complement(join(top,complement(X_88))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(X_88))),complement(join(top,complement(X_88)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2388,plain,
    ( join(top,complement(X_88)) != top
    | complement(join(top,complement(X_88))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(X_88))),complement(join(top,complement(X_88)))) )],[refute_0_2386,refute_0_2387]) ).

cnf(refute_0_2389,plain,
    complement(join(top,complement(X_88))) = complement(top),
    inference(resolve,[$cnf( $equal(join(top,complement(X_88)),top) )],[refute_0_2385,refute_0_2388]) ).

cnf(refute_0_2390,plain,
    ( complement(join(top,complement(X_88))) != complement(top)
    | complement(top) != zero
    | complement(join(top,complement(X_88))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(top,complement(X_88))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2391,plain,
    ( complement(top) != zero
    | complement(join(top,complement(X_88))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(X_88))),complement(top)) )],[refute_0_2389,refute_0_2390]) ).

cnf(refute_0_2392,plain,
    complement(join(top,complement(X_88))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2391]) ).

cnf(refute_0_2393,plain,
    join(meet(top,X_88),complement(join(top,complement(X_88)))) = join(meet(top,X_88),complement(join(top,complement(X_88)))),
    introduced(tautology,[refl,[$fot(join(meet(top,X_88),complement(join(top,complement(X_88)))))]]) ).

cnf(refute_0_2394,plain,
    ( complement(join(top,complement(X_88))) != zero
    | join(meet(top,X_88),complement(join(top,complement(X_88)))) != join(meet(top,X_88),complement(join(top,complement(X_88))))
    | join(meet(top,X_88),complement(join(top,complement(X_88)))) = join(meet(top,X_88),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_88),complement(join(top,complement(X_88)))),join(meet(top,X_88),complement(join(top,complement(X_88))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2395,plain,
    ( complement(join(top,complement(X_88))) != zero
    | join(meet(top,X_88),complement(join(top,complement(X_88)))) = join(meet(top,X_88),zero) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_88),complement(join(top,complement(X_88)))),join(meet(top,X_88),complement(join(top,complement(X_88))))) )],[refute_0_2393,refute_0_2394]) ).

cnf(refute_0_2396,plain,
    join(meet(top,X_88),complement(join(top,complement(X_88)))) = join(meet(top,X_88),zero),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(X_88))),zero) )],[refute_0_2392,refute_0_2395]) ).

cnf(refute_0_2397,plain,
    ( join(meet(top,X_88),complement(join(top,complement(X_88)))) != join(meet(top,X_88),zero)
    | join(meet(top,X_88),zero) != join(zero,meet(top,X_88))
    | join(meet(top,X_88),complement(join(top,complement(X_88)))) = join(zero,meet(top,X_88)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(top,X_88),complement(join(top,complement(X_88)))))),bind(Y,$fot(join(meet(top,X_88),zero))),bind(Z,$fot(join(zero,meet(top,X_88))))]]) ).

cnf(refute_0_2398,plain,
    ( join(meet(top,X_88),zero) != join(zero,meet(top,X_88))
    | join(meet(top,X_88),complement(join(top,complement(X_88)))) = join(zero,meet(top,X_88)) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_88),complement(join(top,complement(X_88)))),join(meet(top,X_88),zero)) )],[refute_0_2396,refute_0_2397]) ).

cnf(refute_0_2399,plain,
    join(meet(top,X_88),complement(join(top,complement(X_88)))) = join(zero,meet(top,X_88)),
    inference(resolve,[$cnf( $equal(join(meet(top,X_88),zero),join(zero,meet(top,X_88))) )],[refute_0_2384,refute_0_2398]) ).

cnf(refute_0_2400,plain,
    ( X_88 != join(meet(top,X_88),complement(join(top,complement(X_88))))
    | join(meet(top,X_88),complement(join(top,complement(X_88)))) != join(zero,meet(top,X_88))
    | X_88 = join(zero,meet(top,X_88)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,join(zero,meet(top,X_88))) ),[0],$fot(join(meet(top,X_88),complement(join(top,complement(X_88)))))]]) ).

cnf(refute_0_2401,plain,
    ( X_88 != join(meet(top,X_88),complement(join(top,complement(X_88))))
    | X_88 = join(zero,meet(top,X_88)) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_88),complement(join(top,complement(X_88)))),join(zero,meet(top,X_88))) )],[refute_0_2399,refute_0_2400]) ).

cnf(refute_0_2402,plain,
    X_88 = join(zero,meet(top,X_88)),
    inference(resolve,[$cnf( $equal(X_88,join(meet(top,X_88),complement(join(top,complement(X_88))))) )],[refute_0_2383,refute_0_2401]) ).

cnf(refute_0_2403,plain,
    ( X_88 != join(zero,meet(top,X_88))
    | join(zero,meet(top,X_88)) = X_88 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X_88)),bind(Y,$fot(join(zero,meet(top,X_88))))]]) ).

cnf(refute_0_2404,plain,
    join(zero,meet(top,X_88)) = X_88,
    inference(resolve,[$cnf( $equal(X_88,join(zero,meet(top,X_88))) )],[refute_0_2402,refute_0_2403]) ).

cnf(refute_0_2405,plain,
    join(zero,meet(top,meet(X_67,meet(X_67,top)))) = meet(X_67,meet(X_67,top)),
    inference(subst,[],[refute_0_2404:[bind(X_88,$fot(meet(X_67,meet(X_67,top))))]]) ).

cnf(refute_0_2406,plain,
    complement(join(zero,complement(meet(X_67,meet(X_67,top))))) = meet(top,meet(X_67,meet(X_67,top))),
    inference(subst,[],[refute_0_2355:[bind(X1,$fot(meet(X_67,meet(X_67,top))))]]) ).

cnf(refute_0_2407,plain,
    X_88 = join(meet(X_88,complement(complement(X_88))),complement(join(complement(X_88),complement(complement(X_88))))),
    inference(subst,[],[refute_0_55:[bind(X0,$fot(X_88)),bind(X1,$fot(complement(complement(X_88))))]]) ).

cnf(refute_0_2408,plain,
    top = join(complement(X_88),complement(complement(X_88))),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(complement(X_88)))]]) ).

cnf(refute_0_2409,plain,
    ( top != join(complement(X_88),complement(complement(X_88)))
    | join(complement(X_88),complement(complement(X_88))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_88),complement(complement(X_88)))))]]) ).

cnf(refute_0_2410,plain,
    join(complement(X_88),complement(complement(X_88))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(X_88),complement(complement(X_88)))) )],[refute_0_2408,refute_0_2409]) ).

cnf(refute_0_2411,plain,
    ( X_88 != join(meet(X_88,complement(complement(X_88))),complement(join(complement(X_88),complement(complement(X_88)))))
    | join(complement(X_88),complement(complement(X_88))) != top
    | X_88 = join(meet(X_88,complement(complement(X_88))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_88,join(meet(X_88,complement(complement(X_88))),complement(join(complement(X_88),complement(complement(X_88)))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_2412,plain,
    ( X_88 != join(meet(X_88,complement(complement(X_88))),complement(join(complement(X_88),complement(complement(X_88)))))
    | X_88 = join(meet(X_88,complement(complement(X_88))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_88),complement(complement(X_88))),top) )],[refute_0_2410,refute_0_2411]) ).

cnf(refute_0_2413,plain,
    X_88 = join(meet(X_88,complement(complement(X_88))),complement(top)),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,complement(complement(X_88))),complement(join(complement(X_88),complement(complement(X_88)))))) )],[refute_0_2407,refute_0_2412]) ).

cnf(refute_0_2414,plain,
    join(complement(top),meet(X_88,complement(complement(X_88)))) = join(complement(top),meet(X_88,complement(complement(X_88)))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(X_88,complement(complement(X_88)))))]]) ).

cnf(refute_0_2415,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_88,complement(complement(X_88)))) != join(complement(top),meet(X_88,complement(complement(X_88))))
    | join(complement(top),meet(X_88,complement(complement(X_88)))) = join(zero,meet(X_88,complement(complement(X_88)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_88,complement(complement(X_88)))),join(complement(top),meet(X_88,complement(complement(X_88))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2416,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_88,complement(complement(X_88)))) = join(zero,meet(X_88,complement(complement(X_88)))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_88,complement(complement(X_88)))),join(complement(top),meet(X_88,complement(complement(X_88))))) )],[refute_0_2414,refute_0_2415]) ).

cnf(refute_0_2417,plain,
    join(complement(top),meet(X_88,complement(complement(X_88)))) = join(zero,meet(X_88,complement(complement(X_88)))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2416]) ).

cnf(refute_0_2418,plain,
    join(meet(X_88,complement(complement(X_88))),complement(top)) = join(complement(top),meet(X_88,complement(complement(X_88)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_88,complement(complement(X_88)))))]]) ).

cnf(refute_0_2419,plain,
    ( join(complement(top),meet(X_88,complement(complement(X_88)))) != join(zero,meet(X_88,complement(complement(X_88))))
    | join(meet(X_88,complement(complement(X_88))),complement(top)) != join(complement(top),meet(X_88,complement(complement(X_88))))
    | join(meet(X_88,complement(complement(X_88))),complement(top)) = join(zero,meet(X_88,complement(complement(X_88)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(X_88,complement(complement(X_88))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_88,complement(complement(X_88)))))),bind(Z,$fot(join(zero,meet(X_88,complement(complement(X_88))))))]]) ).

cnf(refute_0_2420,plain,
    ( join(complement(top),meet(X_88,complement(complement(X_88)))) != join(zero,meet(X_88,complement(complement(X_88))))
    | join(meet(X_88,complement(complement(X_88))),complement(top)) = join(zero,meet(X_88,complement(complement(X_88)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_88,complement(complement(X_88))),complement(top)),join(complement(top),meet(X_88,complement(complement(X_88))))) )],[refute_0_2418,refute_0_2419]) ).

cnf(refute_0_2421,plain,
    join(meet(X_88,complement(complement(X_88))),complement(top)) = join(zero,meet(X_88,complement(complement(X_88)))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_88,complement(complement(X_88)))),join(zero,meet(X_88,complement(complement(X_88))))) )],[refute_0_2417,refute_0_2420]) ).

cnf(refute_0_2422,plain,
    ( X_88 != join(meet(X_88,complement(complement(X_88))),complement(top))
    | join(meet(X_88,complement(complement(X_88))),complement(top)) != join(zero,meet(X_88,complement(complement(X_88))))
    | X_88 = join(zero,meet(X_88,complement(complement(X_88)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,join(zero,meet(X_88,complement(complement(X_88))))) ),[0],$fot(join(meet(X_88,complement(complement(X_88))),complement(top)))]]) ).

cnf(refute_0_2423,plain,
    ( X_88 != join(meet(X_88,complement(complement(X_88))),complement(top))
    | X_88 = join(zero,meet(X_88,complement(complement(X_88)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_88,complement(complement(X_88))),complement(top)),join(zero,meet(X_88,complement(complement(X_88))))) )],[refute_0_2421,refute_0_2422]) ).

cnf(refute_0_2424,plain,
    X_88 = join(zero,meet(X_88,complement(complement(X_88)))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,complement(complement(X_88))),complement(top))) )],[refute_0_2413,refute_0_2423]) ).

cnf(refute_0_2425,plain,
    join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1)))))),
    inference(subst,[],[refute_0_2424:[bind(X_88,$fot(join(complement(X0),complement(X1))))]]) ).

cnf(refute_0_2426,plain,
    ( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
    | join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
    | join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) ),[1,1,1,0],$fot(meet(X0,X1))]]) ).

cnf(refute_0_2427,plain,
    ( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
    | join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_43,refute_0_2426]) ).

cnf(refute_0_2428,plain,
    join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
    inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) )],[refute_0_2425,refute_0_2427]) ).

cnf(refute_0_2429,plain,
    join(complement(complement(meet(X0,X1))),meet(X0,X1)) = join(meet(X0,X1),complement(complement(meet(X0,X1)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(complement(meet(X0,X1)))))]]) ).

cnf(refute_0_2430,plain,
    complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
    introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))]]) ).

cnf(refute_0_2431,plain,
    ( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
    | join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
    | complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) ),[1,0],$fot(join(meet(X0,X1),complement(complement(meet(X0,X1)))))]]) ).

cnf(refute_0_2432,plain,
    ( join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
    | complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_2430,refute_0_2431]) ).

cnf(refute_0_2433,plain,
    complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
    inference(resolve,[$cnf( $equal(join(complement(complement(meet(X0,X1))),meet(X0,X1)),join(meet(X0,X1),complement(complement(meet(X0,X1))))) )],[refute_0_2429,refute_0_2432]) ).

cnf(refute_0_2434,plain,
    meet(X0,join(complement(X_31),complement(X_32))) = complement(join(complement(X0),complement(join(complement(X_31),complement(X_32))))),
    inference(subst,[],[refute_0_41:[bind(X1,$fot(join(complement(X_31),complement(X_32))))]]) ).

cnf(refute_0_2435,plain,
    ( complement(join(complement(X_31),complement(X_32))) != meet(X_31,X_32)
    | meet(X0,join(complement(X_31),complement(X_32))) != complement(join(complement(X0),complement(join(complement(X_31),complement(X_32)))))
    | meet(X0,join(complement(X_31),complement(X_32))) = complement(join(complement(X0),meet(X_31,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_31),complement(X_32))),complement(join(complement(X0),complement(join(complement(X_31),complement(X_32)))))) ),[1,0,1],$fot(meet(X_31,X_32))]]) ).

cnf(refute_0_2436,plain,
    ( meet(X0,join(complement(X_31),complement(X_32))) != complement(join(complement(X0),complement(join(complement(X_31),complement(X_32)))))
    | meet(X0,join(complement(X_31),complement(X_32))) = complement(join(complement(X0),meet(X_31,X_32))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_31),complement(X_32))),meet(X_31,X_32)) )],[refute_0_86,refute_0_2435]) ).

cnf(refute_0_2437,plain,
    meet(X0,join(complement(X_31),complement(X_32))) = complement(join(complement(X0),meet(X_31,X_32))),
    inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_31),complement(X_32))),complement(join(complement(X0),complement(join(complement(X_31),complement(X_32)))))) )],[refute_0_2434,refute_0_2436]) ).

cnf(refute_0_2438,plain,
    meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
    inference(subst,[],[refute_0_2437:[bind(X0,$fot(complement(meet(X0,X1)))),bind(X_31,$fot(X0)),bind(X_32,$fot(X1))]]) ).

cnf(refute_0_2439,plain,
    meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(complement(meet(X0,X1)))),bind(X_32,$fot(join(complement(X0),complement(X1))))]]) ).

cnf(refute_0_2440,plain,
    ( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
    | meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))
    | meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))))),bind(Z,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))))]]) ).

cnf(refute_0_2441,plain,
    ( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
    | meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))) )],[refute_0_2439,refute_0_2440]) ).

cnf(refute_0_2442,plain,
    meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
    inference(resolve,[$cnf( $equal(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_2438,refute_0_2441]) ).

cnf(refute_0_2443,plain,
    ( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
    | meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
    | meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))),bind(Z,$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).

cnf(refute_0_2444,plain,
    ( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
    | meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_2442,refute_0_2443]) ).

cnf(refute_0_2445,plain,
    meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
    inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_2433,refute_0_2444]) ).

cnf(refute_0_2446,plain,
    join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
    introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).

cnf(refute_0_2447,plain,
    ( join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
    | meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
    | join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))]]) ).

cnf(refute_0_2448,plain,
    ( meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
    | join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_2446,refute_0_2447]) ).

cnf(refute_0_2449,plain,
    join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
    inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_2445,refute_0_2448]) ).

cnf(refute_0_2450,plain,
    ( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
    | join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
    | join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) ),[0],$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).

cnf(refute_0_2451,plain,
    ( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
    | join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_2449,refute_0_2450]) ).

cnf(refute_0_2452,plain,
    join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
    inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_2428,refute_0_2451]) ).

cnf(refute_0_2453,plain,
    meet(X_89,X_88) = meet(X_88,X_89),
    inference(subst,[],[refute_0_2314:[bind(X_31,$fot(X_89)),bind(X_32,$fot(X_88))]]) ).

cnf(refute_0_2454,plain,
    ( meet(X_89,X_88) != meet(X_88,X_89)
    | meet(X_88,X_89) = meet(X_89,X_88) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_89,X_88))),bind(Y,$fot(meet(X_88,X_89)))]]) ).

cnf(refute_0_2455,plain,
    meet(X_88,X_89) = meet(X_89,X_88),
    inference(resolve,[$cnf( $equal(meet(X_89,X_88),meet(X_88,X_89)) )],[refute_0_2453,refute_0_2454]) ).

cnf(refute_0_2456,plain,
    ( X_88 != join(meet(X_88,X_89),complement(join(complement(X_88),X_89)))
    | meet(X_88,X_89) != meet(X_89,X_88)
    | X_88 = join(meet(X_89,X_88),complement(join(complement(X_88),X_89))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_88,join(meet(X_88,X_89),complement(join(complement(X_88),X_89)))) ),[1,0],$fot(meet(X_89,X_88))]]) ).

cnf(refute_0_2457,plain,
    ( X_88 != join(meet(X_88,X_89),complement(join(complement(X_88),X_89)))
    | X_88 = join(meet(X_89,X_88),complement(join(complement(X_88),X_89))) ),
    inference(resolve,[$cnf( $equal(meet(X_88,X_89),meet(X_89,X_88)) )],[refute_0_2455,refute_0_2456]) ).

cnf(refute_0_2458,plain,
    X_88 = join(meet(X_89,X_88),complement(join(complement(X_88),X_89))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,X_89),complement(join(complement(X_88),X_89)))) )],[refute_0_56,refute_0_2457]) ).

cnf(refute_0_2459,plain,
    complement(X_110) = join(meet(X_110,complement(X_110)),complement(join(complement(complement(X_110)),X_110))),
    inference(subst,[],[refute_0_2458:[bind(X_88,$fot(complement(X_110))),bind(X_89,$fot(X_110))]]) ).

cnf(refute_0_2460,plain,
    zero = meet(X_110,complement(X_110)),
    inference(subst,[],[refute_0_82:[bind(X0,$fot(X_110))]]) ).

cnf(refute_0_2461,plain,
    ( zero != meet(X_110,complement(X_110))
    | meet(X_110,complement(X_110)) = zero ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_110,complement(X_110))))]]) ).

cnf(refute_0_2462,plain,
    meet(X_110,complement(X_110)) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(X_110,complement(X_110))) )],[refute_0_2460,refute_0_2461]) ).

cnf(refute_0_2463,plain,
    ( complement(X_110) != join(meet(X_110,complement(X_110)),complement(join(complement(complement(X_110)),X_110)))
    | meet(X_110,complement(X_110)) != zero
    | complement(X_110) = join(zero,complement(join(complement(complement(X_110)),X_110))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(X_110),join(meet(X_110,complement(X_110)),complement(join(complement(complement(X_110)),X_110)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2464,plain,
    ( complement(X_110) != join(meet(X_110,complement(X_110)),complement(join(complement(complement(X_110)),X_110)))
    | complement(X_110) = join(zero,complement(join(complement(complement(X_110)),X_110))) ),
    inference(resolve,[$cnf( $equal(meet(X_110,complement(X_110)),zero) )],[refute_0_2462,refute_0_2463]) ).

cnf(refute_0_2465,plain,
    complement(X_110) = join(zero,complement(join(complement(complement(X_110)),X_110))),
    inference(resolve,[$cnf( $equal(complement(X_110),join(meet(X_110,complement(X_110)),complement(join(complement(complement(X_110)),X_110)))) )],[refute_0_2459,refute_0_2464]) ).

cnf(refute_0_2466,plain,
    join(complement(complement(X_110)),X_110) = join(X_110,complement(complement(X_110))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(X_110)),bind(X1,$fot(complement(complement(X_110))))]]) ).

cnf(refute_0_2467,plain,
    complement(join(complement(complement(X_110)),X_110)) = complement(join(complement(complement(X_110)),X_110)),
    introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_110)),X_110)))]]) ).

cnf(refute_0_2468,plain,
    ( complement(join(complement(complement(X_110)),X_110)) != complement(join(complement(complement(X_110)),X_110))
    | join(complement(complement(X_110)),X_110) != join(X_110,complement(complement(X_110)))
    | complement(join(complement(complement(X_110)),X_110)) = complement(join(X_110,complement(complement(X_110)))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_110)),X_110)),complement(join(complement(complement(X_110)),X_110))) ),[1,0],$fot(join(X_110,complement(complement(X_110))))]]) ).

cnf(refute_0_2469,plain,
    ( join(complement(complement(X_110)),X_110) != join(X_110,complement(complement(X_110)))
    | complement(join(complement(complement(X_110)),X_110)) = complement(join(X_110,complement(complement(X_110)))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_110)),X_110)),complement(join(complement(complement(X_110)),X_110))) )],[refute_0_2467,refute_0_2468]) ).

cnf(refute_0_2470,plain,
    complement(join(complement(complement(X_110)),X_110)) = complement(join(X_110,complement(complement(X_110)))),
    inference(resolve,[$cnf( $equal(join(complement(complement(X_110)),X_110),join(X_110,complement(complement(X_110)))) )],[refute_0_2466,refute_0_2469]) ).

cnf(refute_0_2471,plain,
    join(zero,complement(join(complement(complement(X_110)),X_110))) = join(zero,complement(join(complement(complement(X_110)),X_110))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(complement(X_110)),X_110))))]]) ).

cnf(refute_0_2472,plain,
    ( complement(join(complement(complement(X_110)),X_110)) != complement(join(X_110,complement(complement(X_110))))
    | join(zero,complement(join(complement(complement(X_110)),X_110))) != join(zero,complement(join(complement(complement(X_110)),X_110)))
    | join(zero,complement(join(complement(complement(X_110)),X_110))) = join(zero,complement(join(X_110,complement(complement(X_110))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(complement(X_110)),X_110))),join(zero,complement(join(complement(complement(X_110)),X_110)))) ),[1,1],$fot(complement(join(X_110,complement(complement(X_110)))))]]) ).

cnf(refute_0_2473,plain,
    ( complement(join(complement(complement(X_110)),X_110)) != complement(join(X_110,complement(complement(X_110))))
    | join(zero,complement(join(complement(complement(X_110)),X_110))) = join(zero,complement(join(X_110,complement(complement(X_110))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_110)),X_110))),join(zero,complement(join(complement(complement(X_110)),X_110)))) )],[refute_0_2471,refute_0_2472]) ).

cnf(refute_0_2474,plain,
    join(zero,complement(join(complement(complement(X_110)),X_110))) = join(zero,complement(join(X_110,complement(complement(X_110))))),
    inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_110)),X_110)),complement(join(X_110,complement(complement(X_110))))) )],[refute_0_2470,refute_0_2473]) ).

cnf(refute_0_2475,plain,
    ( complement(X_110) != join(zero,complement(join(complement(complement(X_110)),X_110)))
    | join(zero,complement(join(complement(complement(X_110)),X_110))) != join(zero,complement(join(X_110,complement(complement(X_110)))))
    | complement(X_110) = join(zero,complement(join(X_110,complement(complement(X_110))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_110),join(zero,complement(join(X_110,complement(complement(X_110)))))) ),[0],$fot(join(zero,complement(join(complement(complement(X_110)),X_110))))]]) ).

cnf(refute_0_2476,plain,
    ( complement(X_110) != join(zero,complement(join(complement(complement(X_110)),X_110)))
    | complement(X_110) = join(zero,complement(join(X_110,complement(complement(X_110))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_110)),X_110))),join(zero,complement(join(X_110,complement(complement(X_110)))))) )],[refute_0_2474,refute_0_2475]) ).

cnf(refute_0_2477,plain,
    complement(X_110) = join(zero,complement(join(X_110,complement(complement(X_110))))),
    inference(resolve,[$cnf( $equal(complement(X_110),join(zero,complement(join(complement(complement(X_110)),X_110)))) )],[refute_0_2465,refute_0_2476]) ).

cnf(refute_0_2478,plain,
    ( complement(X_110) != join(zero,complement(join(X_110,complement(complement(X_110)))))
    | join(zero,complement(join(X_110,complement(complement(X_110))))) = complement(X_110) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_110))),bind(Y,$fot(join(zero,complement(join(X_110,complement(complement(X_110)))))))]]) ).

cnf(refute_0_2479,plain,
    join(zero,complement(join(X_110,complement(complement(X_110))))) = complement(X_110),
    inference(resolve,[$cnf( $equal(complement(X_110),join(zero,complement(join(X_110,complement(complement(X_110)))))) )],[refute_0_2477,refute_0_2478]) ).

cnf(refute_0_2480,plain,
    join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(X0,X1)),
    inference(subst,[],[refute_0_2479:[bind(X_110,$fot(meet(X0,X1)))]]) ).

cnf(refute_0_2481,plain,
    ( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
    | join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) != complement(meet(X0,X1))
    | join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).

cnf(refute_0_2482,plain,
    ( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
    | join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(meet(X0,X1))) )],[refute_0_2480,refute_0_2481]) ).

cnf(refute_0_2483,plain,
    join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
    inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_2452,refute_0_2482]) ).

cnf(refute_0_2484,plain,
    join(complement(X_67),complement(meet(X_67,top))) = complement(meet(X_67,meet(X_67,top))),
    inference(subst,[],[refute_0_2483:[bind(X0,$fot(X_67)),bind(X1,$fot(meet(X_67,top)))]]) ).

cnf(refute_0_2485,plain,
    join(zero,join(complement(X_67),complement(meet(X_67,top)))) = join(zero,join(complement(X_67),complement(meet(X_67,top)))),
    introduced(tautology,[refl,[$fot(join(zero,join(complement(X_67),complement(meet(X_67,top)))))]]) ).

cnf(refute_0_2486,plain,
    ( join(complement(X_67),complement(meet(X_67,top))) != complement(meet(X_67,meet(X_67,top)))
    | join(zero,join(complement(X_67),complement(meet(X_67,top)))) != join(zero,join(complement(X_67),complement(meet(X_67,top))))
    | join(zero,join(complement(X_67),complement(meet(X_67,top)))) = join(zero,complement(meet(X_67,meet(X_67,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_67),complement(meet(X_67,top)))),join(zero,join(complement(X_67),complement(meet(X_67,top))))) ),[1,1],$fot(complement(meet(X_67,meet(X_67,top))))]]) ).

cnf(refute_0_2487,plain,
    ( join(complement(X_67),complement(meet(X_67,top))) != complement(meet(X_67,meet(X_67,top)))
    | join(zero,join(complement(X_67),complement(meet(X_67,top)))) = join(zero,complement(meet(X_67,meet(X_67,top)))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(X_67),complement(meet(X_67,top)))),join(zero,join(complement(X_67),complement(meet(X_67,top))))) )],[refute_0_2485,refute_0_2486]) ).

cnf(refute_0_2488,plain,
    join(zero,join(complement(X_67),complement(meet(X_67,top)))) = join(zero,complement(meet(X_67,meet(X_67,top)))),
    inference(resolve,[$cnf( $equal(join(complement(X_67),complement(meet(X_67,top))),complement(meet(X_67,meet(X_67,top)))) )],[refute_0_2484,refute_0_2487]) ).

cnf(refute_0_2489,plain,
    complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) = complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))),
    introduced(tautology,[refl,[$fot(complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))]]) ).

cnf(refute_0_2490,plain,
    ( complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) != complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))
    | join(zero,join(complement(X_67),complement(meet(X_67,top)))) != join(zero,complement(meet(X_67,meet(X_67,top))))
    | complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) = complement(join(zero,complement(meet(X_67,meet(X_67,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))),complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) ),[1,0],$fot(join(zero,complement(meet(X_67,meet(X_67,top)))))]]) ).

cnf(refute_0_2491,plain,
    ( join(zero,join(complement(X_67),complement(meet(X_67,top)))) != join(zero,complement(meet(X_67,meet(X_67,top))))
    | complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) = complement(join(zero,complement(meet(X_67,meet(X_67,top))))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))),complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) )],[refute_0_2489,refute_0_2490]) ).

cnf(refute_0_2492,plain,
    complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) = complement(join(zero,complement(meet(X_67,meet(X_67,top))))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(X_67),complement(meet(X_67,top)))),join(zero,complement(meet(X_67,meet(X_67,top))))) )],[refute_0_2488,refute_0_2491]) ).

cnf(refute_0_2493,plain,
    ( complement(join(zero,complement(meet(X_67,meet(X_67,top))))) != meet(top,meet(X_67,meet(X_67,top)))
    | complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) != complement(join(zero,complement(meet(X_67,meet(X_67,top)))))
    | complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) = meet(top,meet(X_67,meet(X_67,top))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))),bind(Y,$fot(complement(join(zero,complement(meet(X_67,meet(X_67,top))))))),bind(Z,$fot(meet(top,meet(X_67,meet(X_67,top)))))]]) ).

cnf(refute_0_2494,plain,
    ( complement(join(zero,complement(meet(X_67,meet(X_67,top))))) != meet(top,meet(X_67,meet(X_67,top)))
    | complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) = meet(top,meet(X_67,meet(X_67,top))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))),complement(join(zero,complement(meet(X_67,meet(X_67,top)))))) )],[refute_0_2492,refute_0_2493]) ).

cnf(refute_0_2495,plain,
    complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) = meet(top,meet(X_67,meet(X_67,top))),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(meet(X_67,meet(X_67,top))))),meet(top,meet(X_67,meet(X_67,top)))) )],[refute_0_2406,refute_0_2494]) ).

cnf(refute_0_2496,plain,
    join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) = join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))),
    introduced(tautology,[refl,[$fot(join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))))]]) ).

cnf(refute_0_2497,plain,
    ( complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) != meet(top,meet(X_67,meet(X_67,top)))
    | join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) != join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))
    | join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) = join(zero,meet(top,meet(X_67,meet(X_67,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))),join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))) ),[1,1],$fot(meet(top,meet(X_67,meet(X_67,top))))]]) ).

cnf(refute_0_2498,plain,
    ( complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))) != meet(top,meet(X_67,meet(X_67,top)))
    | join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) = join(zero,meet(top,meet(X_67,meet(X_67,top)))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))),join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))) )],[refute_0_2496,refute_0_2497]) ).

cnf(refute_0_2499,plain,
    join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) = join(zero,meet(top,meet(X_67,meet(X_67,top)))),
    inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))),meet(top,meet(X_67,meet(X_67,top)))) )],[refute_0_2495,refute_0_2498]) ).

cnf(refute_0_2500,plain,
    ( join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) != join(zero,meet(top,meet(X_67,meet(X_67,top))))
    | join(zero,meet(top,meet(X_67,meet(X_67,top)))) != meet(X_67,meet(X_67,top))
    | join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) = meet(X_67,meet(X_67,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))))),bind(Y,$fot(join(zero,meet(top,meet(X_67,meet(X_67,top)))))),bind(Z,$fot(meet(X_67,meet(X_67,top))))]]) ).

cnf(refute_0_2501,plain,
    ( join(zero,meet(top,meet(X_67,meet(X_67,top)))) != meet(X_67,meet(X_67,top))
    | join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) = meet(X_67,meet(X_67,top)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))),join(zero,meet(top,meet(X_67,meet(X_67,top))))) )],[refute_0_2499,refute_0_2500]) ).

cnf(refute_0_2502,plain,
    join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) = meet(X_67,meet(X_67,top)),
    inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(X_67,meet(X_67,top)))),meet(X_67,meet(X_67,top))) )],[refute_0_2405,refute_0_2501]) ).

cnf(refute_0_2503,plain,
    ( join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))) != meet(X_67,meet(X_67,top))
    | meet(X_67,top) != join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))
    | meet(X_67,top) = meet(X_67,meet(X_67,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_67,top),join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))) ),[1],$fot(meet(X_67,meet(X_67,top)))]]) ).

cnf(refute_0_2504,plain,
    ( meet(X_67,top) != join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))
    | meet(X_67,top) = meet(X_67,meet(X_67,top)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top)))))),meet(X_67,meet(X_67,top))) )],[refute_0_2502,refute_0_2503]) ).

cnf(refute_0_2505,plain,
    meet(X_67,top) = meet(X_67,meet(X_67,top)),
    inference(resolve,[$cnf( $equal(meet(X_67,top),join(zero,complement(join(zero,join(complement(X_67),complement(meet(X_67,top))))))) )],[refute_0_2348,refute_0_2504]) ).

cnf(refute_0_2506,plain,
    meet(X_89,top) = join(meet(X_89,meet(X_89,top)),complement(join(complement(meet(X_89,top)),X_89))),
    inference(subst,[],[refute_0_2458:[bind(X_88,$fot(meet(X_89,top)))]]) ).

cnf(refute_0_2507,plain,
    meet(X_89,top) = meet(X_89,meet(X_89,top)),
    inference(subst,[],[refute_0_2505:[bind(X_67,$fot(X_89))]]) ).

cnf(refute_0_2508,plain,
    ( meet(X_89,top) != meet(X_89,meet(X_89,top))
    | meet(X_89,meet(X_89,top)) = meet(X_89,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_89,top))),bind(Y,$fot(meet(X_89,meet(X_89,top))))]]) ).

cnf(refute_0_2509,plain,
    meet(X_89,meet(X_89,top)) = meet(X_89,top),
    inference(resolve,[$cnf( $equal(meet(X_89,top),meet(X_89,meet(X_89,top))) )],[refute_0_2507,refute_0_2508]) ).

cnf(refute_0_2510,plain,
    ( meet(X_89,meet(X_89,top)) != meet(X_89,top)
    | meet(X_89,top) != join(meet(X_89,meet(X_89,top)),complement(join(complement(meet(X_89,top)),X_89)))
    | meet(X_89,top) = join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_89,top),join(meet(X_89,meet(X_89,top)),complement(join(complement(meet(X_89,top)),X_89)))) ),[1,0],$fot(meet(X_89,top))]]) ).

cnf(refute_0_2511,plain,
    ( meet(X_89,top) != join(meet(X_89,meet(X_89,top)),complement(join(complement(meet(X_89,top)),X_89)))
    | meet(X_89,top) = join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) ),
    inference(resolve,[$cnf( $equal(meet(X_89,meet(X_89,top)),meet(X_89,top)) )],[refute_0_2509,refute_0_2510]) ).

cnf(refute_0_2512,plain,
    meet(X_89,top) = join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))),
    inference(resolve,[$cnf( $equal(meet(X_89,top),join(meet(X_89,meet(X_89,top)),complement(join(complement(meet(X_89,top)),X_89)))) )],[refute_0_2506,refute_0_2511]) ).

cnf(refute_0_2513,plain,
    X0 = join(meet(X0,top),complement(join(complement(X0),top))),
    inference(subst,[],[refute_0_55:[bind(X1,$fot(top))]]) ).

cnf(refute_0_2514,plain,
    join(complement(X0),top) = top,
    inference(subst,[],[refute_0_2275:[bind(X_98,$fot(complement(X0)))]]) ).

cnf(refute_0_2515,plain,
    ( X0 != join(meet(X0,top),complement(join(complement(X0),top)))
    | join(complement(X0),top) != top
    | X0 = join(meet(X0,top),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,top),complement(join(complement(X0),top)))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_2516,plain,
    ( X0 != join(meet(X0,top),complement(join(complement(X0),top)))
    | X0 = join(meet(X0,top),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(X0),top),top) )],[refute_0_2514,refute_0_2515]) ).

cnf(refute_0_2517,plain,
    X0 = join(meet(X0,top),complement(top)),
    inference(resolve,[$cnf( $equal(X0,join(meet(X0,top),complement(join(complement(X0),top)))) )],[refute_0_2513,refute_0_2516]) ).

cnf(refute_0_2518,plain,
    join(complement(top),meet(X0,top)) = join(complement(top),meet(X0,top)),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(X0,top)))]]) ).

cnf(refute_0_2519,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X0,top)) != join(complement(top),meet(X0,top))
    | join(complement(top),meet(X0,top)) = join(zero,meet(X0,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X0,top)),join(complement(top),meet(X0,top))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2520,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X0,top)) = join(zero,meet(X0,top)) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,top)),join(complement(top),meet(X0,top))) )],[refute_0_2518,refute_0_2519]) ).

cnf(refute_0_2521,plain,
    join(complement(top),meet(X0,top)) = join(zero,meet(X0,top)),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2520]) ).

cnf(refute_0_2522,plain,
    join(meet(X0,top),complement(top)) = join(complement(top),meet(X0,top)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X0,top)))]]) ).

cnf(refute_0_2523,plain,
    ( join(complement(top),meet(X0,top)) != join(zero,meet(X0,top))
    | join(meet(X0,top),complement(top)) != join(complement(top),meet(X0,top))
    | join(meet(X0,top),complement(top)) = join(zero,meet(X0,top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(X0,top),complement(top)))),bind(Y,$fot(join(complement(top),meet(X0,top)))),bind(Z,$fot(join(zero,meet(X0,top))))]]) ).

cnf(refute_0_2524,plain,
    ( join(complement(top),meet(X0,top)) != join(zero,meet(X0,top))
    | join(meet(X0,top),complement(top)) = join(zero,meet(X0,top)) ),
    inference(resolve,[$cnf( $equal(join(meet(X0,top),complement(top)),join(complement(top),meet(X0,top))) )],[refute_0_2522,refute_0_2523]) ).

cnf(refute_0_2525,plain,
    join(meet(X0,top),complement(top)) = join(zero,meet(X0,top)),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,top)),join(zero,meet(X0,top))) )],[refute_0_2521,refute_0_2524]) ).

cnf(refute_0_2526,plain,
    ( X0 != join(meet(X0,top),complement(top))
    | join(meet(X0,top),complement(top)) != join(zero,meet(X0,top))
    | X0 = join(zero,meet(X0,top)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(zero,meet(X0,top))) ),[0],$fot(join(meet(X0,top),complement(top)))]]) ).

cnf(refute_0_2527,plain,
    ( X0 != join(meet(X0,top),complement(top))
    | X0 = join(zero,meet(X0,top)) ),
    inference(resolve,[$cnf( $equal(join(meet(X0,top),complement(top)),join(zero,meet(X0,top))) )],[refute_0_2525,refute_0_2526]) ).

cnf(refute_0_2528,plain,
    X0 = join(zero,meet(X0,top)),
    inference(resolve,[$cnf( $equal(X0,join(meet(X0,top),complement(top))) )],[refute_0_2517,refute_0_2527]) ).

cnf(refute_0_2529,plain,
    ( X0 != join(zero,meet(X0,top))
    | join(zero,meet(X0,top)) = X0 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X0)),bind(Y,$fot(join(zero,meet(X0,top))))]]) ).

cnf(refute_0_2530,plain,
    join(zero,meet(X0,top)) = X0,
    inference(resolve,[$cnf( $equal(X0,join(zero,meet(X0,top))) )],[refute_0_2528,refute_0_2529]) ).

cnf(refute_0_2531,plain,
    join(zero,meet(X_89,top)) = X_89,
    inference(subst,[],[refute_0_2530:[bind(X0,$fot(X_89))]]) ).

cnf(refute_0_2532,plain,
    join(meet(X_89,top),zero) = join(zero,meet(X_89,top)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(zero)),bind(X1,$fot(meet(X_89,top)))]]) ).

cnf(refute_0_2533,plain,
    ( join(meet(X_89,top),zero) != join(zero,meet(X_89,top))
    | join(zero,meet(X_89,top)) != X_89
    | join(meet(X_89,top),zero) = X_89 ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(X_89,top),zero))),bind(Y,$fot(join(zero,meet(X_89,top)))),bind(Z,$fot(X_89))]]) ).

cnf(refute_0_2534,plain,
    ( join(zero,meet(X_89,top)) != X_89
    | join(meet(X_89,top),zero) = X_89 ),
    inference(resolve,[$cnf( $equal(join(meet(X_89,top),zero),join(zero,meet(X_89,top))) )],[refute_0_2532,refute_0_2533]) ).

cnf(refute_0_2535,plain,
    join(meet(X_89,top),zero) = X_89,
    inference(resolve,[$cnf( $equal(join(zero,meet(X_89,top)),X_89) )],[refute_0_2531,refute_0_2534]) ).

cnf(refute_0_2536,plain,
    top = join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),meet(meet(X_68,top),join(zero,complement(X_68))))),
    inference(subst,[],[refute_0_1197:[bind(X_31,$fot(meet(X_68,top))),bind(X_32,$fot(join(zero,complement(X_68))))]]) ).

cnf(refute_0_2537,plain,
    zero = meet(meet(X_68,top),join(zero,complement(X_68))),
    inference(subst,[],[refute_0_2327:[bind(X_67,$fot(X_68))]]) ).

cnf(refute_0_2538,plain,
    ( zero != meet(meet(X_68,top),join(zero,complement(X_68)))
    | meet(meet(X_68,top),join(zero,complement(X_68))) = zero ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(X_68,top),join(zero,complement(X_68)))))]]) ).

cnf(refute_0_2539,plain,
    meet(meet(X_68,top),join(zero,complement(X_68))) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(meet(X_68,top),join(zero,complement(X_68)))) )],[refute_0_2537,refute_0_2538]) ).

cnf(refute_0_2540,plain,
    ( meet(meet(X_68,top),join(zero,complement(X_68))) != zero
    | top != join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),meet(meet(X_68,top),join(zero,complement(X_68)))))
    | top = join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),meet(meet(X_68,top),join(zero,complement(X_68)))))) ),[1,1,1],$fot(zero)]]) ).

cnf(refute_0_2541,plain,
    ( top != join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),meet(meet(X_68,top),join(zero,complement(X_68)))))
    | top = join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_68,top),join(zero,complement(X_68))),zero) )],[refute_0_2539,refute_0_2540]) ).

cnf(refute_0_2542,plain,
    top = join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)),
    inference(resolve,[$cnf( $equal(top,join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),meet(meet(X_68,top),join(zero,complement(X_68)))))) )],[refute_0_2536,refute_0_2541]) ).

cnf(refute_0_2543,plain,
    join(complement(meet(X_68,top)),meet(top,X_68)) = join(meet(top,X_68),complement(meet(X_68,top))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(top,X_68))),bind(X1,$fot(complement(meet(X_68,top))))]]) ).

cnf(refute_0_2544,plain,
    complement(join(zero,complement(X_68))) = meet(top,X_68),
    inference(subst,[],[refute_0_2355:[bind(X1,$fot(X_68))]]) ).

cnf(refute_0_2545,plain,
    join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) = join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))),
    introduced(tautology,[refl,[$fot(join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))]]) ).

cnf(refute_0_2546,plain,
    ( complement(join(zero,complement(X_68))) != meet(top,X_68)
    | join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) != join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))
    | join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) = join(complement(meet(X_68,top)),meet(top,X_68)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))),join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) ),[1,1],$fot(meet(top,X_68))]]) ).

cnf(refute_0_2547,plain,
    ( complement(join(zero,complement(X_68))) != meet(top,X_68)
    | join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) = join(complement(meet(X_68,top)),meet(top,X_68)) ),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))),join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) )],[refute_0_2545,refute_0_2546]) ).

cnf(refute_0_2548,plain,
    join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) = join(complement(meet(X_68,top)),meet(top,X_68)),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_68))),meet(top,X_68)) )],[refute_0_2544,refute_0_2547]) ).

cnf(refute_0_2549,plain,
    ( join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) != join(complement(meet(X_68,top)),meet(top,X_68))
    | join(complement(meet(X_68,top)),meet(top,X_68)) != join(meet(top,X_68),complement(meet(X_68,top)))
    | join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) = join(meet(top,X_68),complement(meet(X_68,top))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))),bind(Y,$fot(join(complement(meet(X_68,top)),meet(top,X_68)))),bind(Z,$fot(join(meet(top,X_68),complement(meet(X_68,top)))))]]) ).

cnf(refute_0_2550,plain,
    ( join(complement(meet(X_68,top)),meet(top,X_68)) != join(meet(top,X_68),complement(meet(X_68,top)))
    | join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) = join(meet(top,X_68),complement(meet(X_68,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))),join(complement(meet(X_68,top)),meet(top,X_68))) )],[refute_0_2548,refute_0_2549]) ).

cnf(refute_0_2551,plain,
    join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) = join(meet(top,X_68),complement(meet(X_68,top))),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_68,top)),meet(top,X_68)),join(meet(top,X_68),complement(meet(X_68,top)))) )],[refute_0_2543,refute_0_2550]) ).

cnf(refute_0_2552,plain,
    join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) = join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))),
    introduced(tautology,[refl,[$fot(join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))))]]) ).

cnf(refute_0_2553,plain,
    ( join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) != join(meet(top,X_68),complement(meet(X_68,top)))
    | join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) != join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))
    | join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) = join(zero,join(meet(top,X_68),complement(meet(X_68,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))),join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))) ),[1,1],$fot(join(meet(top,X_68),complement(meet(X_68,top))))]]) ).

cnf(refute_0_2554,plain,
    ( join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))) != join(meet(top,X_68),complement(meet(X_68,top)))
    | join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) = join(zero,join(meet(top,X_68),complement(meet(X_68,top)))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))),join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))) )],[refute_0_2552,refute_0_2553]) ).

cnf(refute_0_2555,plain,
    join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) = join(zero,join(meet(top,X_68),complement(meet(X_68,top)))),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))),join(meet(top,X_68),complement(meet(X_68,top)))) )],[refute_0_2551,refute_0_2554]) ).

cnf(refute_0_2556,plain,
    join(complement(meet(X_68,top)),join(zero,complement(join(zero,complement(X_68))))) = join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(zero)),bind(X_51,$fot(complement(meet(X_68,top)))),bind(X_52,$fot(complement(join(zero,complement(X_68)))))]]) ).

cnf(refute_0_2557,plain,
    join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) = join(complement(meet(X_68,top)),join(zero,complement(join(zero,complement(X_68))))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(complement(meet(X_68,top)))),bind(X_51,$fot(complement(join(zero,complement(X_68))))),bind(X_52,$fot(zero))]]) ).

cnf(refute_0_2558,plain,
    ( join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) != join(complement(meet(X_68,top)),join(zero,complement(join(zero,complement(X_68)))))
    | join(complement(meet(X_68,top)),join(zero,complement(join(zero,complement(X_68))))) != join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))
    | join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) = join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)))),bind(Y,$fot(join(complement(meet(X_68,top)),join(zero,complement(join(zero,complement(X_68))))))),bind(Z,$fot(join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))))]]) ).

cnf(refute_0_2559,plain,
    ( join(complement(meet(X_68,top)),join(zero,complement(join(zero,complement(X_68))))) != join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))
    | join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) = join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) ),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)),join(complement(meet(X_68,top)),join(zero,complement(join(zero,complement(X_68)))))) )],[refute_0_2557,refute_0_2558]) ).

cnf(refute_0_2560,plain,
    join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) = join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_68,top)),join(zero,complement(join(zero,complement(X_68))))),join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))) )],[refute_0_2556,refute_0_2559]) ).

cnf(refute_0_2561,plain,
    ( join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) != join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))
    | join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) != join(zero,join(meet(top,X_68),complement(meet(X_68,top))))
    | join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) = join(zero,join(meet(top,X_68),complement(meet(X_68,top)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)))),bind(Y,$fot(join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))))),bind(Z,$fot(join(zero,join(meet(top,X_68),complement(meet(X_68,top))))))]]) ).

cnf(refute_0_2562,plain,
    ( join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))) != join(zero,join(meet(top,X_68),complement(meet(X_68,top))))
    | join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) = join(zero,join(meet(top,X_68),complement(meet(X_68,top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)),join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68)))))) )],[refute_0_2560,refute_0_2561]) ).

cnf(refute_0_2563,plain,
    join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) = join(zero,join(meet(top,X_68),complement(meet(X_68,top)))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(meet(X_68,top)),complement(join(zero,complement(X_68))))),join(zero,join(meet(top,X_68),complement(meet(X_68,top))))) )],[refute_0_2555,refute_0_2562]) ).

cnf(refute_0_2564,plain,
    ( join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)) != join(zero,join(meet(top,X_68),complement(meet(X_68,top))))
    | top != join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero))
    | top = join(zero,join(meet(top,X_68),complement(meet(X_68,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero))) ),[1],$fot(join(zero,join(meet(top,X_68),complement(meet(X_68,top)))))]]) ).

cnf(refute_0_2565,plain,
    ( top != join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero))
    | top = join(zero,join(meet(top,X_68),complement(meet(X_68,top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero)),join(zero,join(meet(top,X_68),complement(meet(X_68,top))))) )],[refute_0_2563,refute_0_2564]) ).

cnf(refute_0_2566,plain,
    top = join(zero,join(meet(top,X_68),complement(meet(X_68,top)))),
    inference(resolve,[$cnf( $equal(top,join(complement(meet(X_68,top)),join(complement(join(zero,complement(X_68))),zero))) )],[refute_0_2542,refute_0_2565]) ).

cnf(refute_0_2567,plain,
    join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(join(meet(top,X_97),complement(join(top,complement(X_97)))),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(meet(top,X_97))),bind(X1,$fot(complement(join(top,complement(X_97)))))]]) ).

cnf(refute_0_2568,plain,
    X_97 = join(meet(top,X_97),complement(join(top,complement(X_97)))),
    inference(subst,[],[refute_0_2383:[bind(X_88,$fot(X_97))]]) ).

cnf(refute_0_2569,plain,
    ( X_97 != join(meet(top,X_97),complement(join(top,complement(X_97))))
    | join(meet(top,X_97),complement(join(top,complement(X_97)))) = X_97 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X_97)),bind(Y,$fot(join(meet(top,X_97),complement(join(top,complement(X_97))))))]]) ).

cnf(refute_0_2570,plain,
    join(meet(top,X_97),complement(join(top,complement(X_97)))) = X_97,
    inference(resolve,[$cnf( $equal(X_97,join(meet(top,X_97),complement(join(top,complement(X_97))))) )],[refute_0_2568,refute_0_2569]) ).

cnf(refute_0_2571,plain,
    ( join(meet(top,X_97),complement(join(top,complement(X_97)))) != X_97
    | join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) != join(join(meet(top,X_97),complement(join(top,complement(X_97)))),X2)
    | join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(X_97,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)),join(join(meet(top,X_97),complement(join(top,complement(X_97)))),X2)) ),[1,0],$fot(X_97)]]) ).

cnf(refute_0_2572,plain,
    ( join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) != join(join(meet(top,X_97),complement(join(top,complement(X_97)))),X2)
    | join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(X_97,X2) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_97),complement(join(top,complement(X_97)))),X_97) )],[refute_0_2570,refute_0_2571]) ).

cnf(refute_0_2573,plain,
    join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(X_97,X2),
    inference(resolve,[$cnf( $equal(join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)),join(join(meet(top,X_97),complement(join(top,complement(X_97)))),X2)) )],[refute_0_2567,refute_0_2572]) ).

cnf(refute_0_2574,plain,
    join(meet(top,X_97),join(zero,X2)) = join(zero,join(meet(top,X_97),X2)),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(zero)),bind(X_51,$fot(meet(top,X_97))),bind(X_52,$fot(X2))]]) ).

cnf(refute_0_2575,plain,
    join(top,complement(X_97)) = top,
    inference(subst,[],[refute_0_2281:[bind(X_50,$fot(complement(X_97)))]]) ).

cnf(refute_0_2576,plain,
    complement(join(top,complement(X_97))) = complement(join(top,complement(X_97))),
    introduced(tautology,[refl,[$fot(complement(join(top,complement(X_97))))]]) ).

cnf(refute_0_2577,plain,
    ( complement(join(top,complement(X_97))) != complement(join(top,complement(X_97)))
    | join(top,complement(X_97)) != top
    | complement(join(top,complement(X_97))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(X_97))),complement(join(top,complement(X_97)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2578,plain,
    ( join(top,complement(X_97)) != top
    | complement(join(top,complement(X_97))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(X_97))),complement(join(top,complement(X_97)))) )],[refute_0_2576,refute_0_2577]) ).

cnf(refute_0_2579,plain,
    complement(join(top,complement(X_97))) = complement(top),
    inference(resolve,[$cnf( $equal(join(top,complement(X_97)),top) )],[refute_0_2575,refute_0_2578]) ).

cnf(refute_0_2580,plain,
    ( complement(join(top,complement(X_97))) != complement(top)
    | complement(top) != zero
    | complement(join(top,complement(X_97))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(top,complement(X_97))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2581,plain,
    ( complement(top) != zero
    | complement(join(top,complement(X_97))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(X_97))),complement(top)) )],[refute_0_2579,refute_0_2580]) ).

cnf(refute_0_2582,plain,
    complement(join(top,complement(X_97))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2581]) ).

cnf(refute_0_2583,plain,
    join(complement(join(top,complement(X_97))),X2) = join(complement(join(top,complement(X_97))),X2),
    introduced(tautology,[refl,[$fot(join(complement(join(top,complement(X_97))),X2))]]) ).

cnf(refute_0_2584,plain,
    ( complement(join(top,complement(X_97))) != zero
    | join(complement(join(top,complement(X_97))),X2) != join(complement(join(top,complement(X_97))),X2)
    | join(complement(join(top,complement(X_97))),X2) = join(zero,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,complement(X_97))),X2),join(complement(join(top,complement(X_97))),X2)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2585,plain,
    ( complement(join(top,complement(X_97))) != zero
    | join(complement(join(top,complement(X_97))),X2) = join(zero,X2) ),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(X_97))),X2),join(complement(join(top,complement(X_97))),X2)) )],[refute_0_2583,refute_0_2584]) ).

cnf(refute_0_2586,plain,
    join(complement(join(top,complement(X_97))),X2) = join(zero,X2),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(X_97))),zero) )],[refute_0_2582,refute_0_2585]) ).

cnf(refute_0_2587,plain,
    join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)),
    introduced(tautology,[refl,[$fot(join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)))]]) ).

cnf(refute_0_2588,plain,
    ( join(complement(join(top,complement(X_97))),X2) != join(zero,X2)
    | join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) != join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2))
    | join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(meet(top,X_97),join(zero,X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)),join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2))) ),[1,1],$fot(join(zero,X2))]]) ).

cnf(refute_0_2589,plain,
    ( join(complement(join(top,complement(X_97))),X2) != join(zero,X2)
    | join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(meet(top,X_97),join(zero,X2)) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)),join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2))) )],[refute_0_2587,refute_0_2588]) ).

cnf(refute_0_2590,plain,
    join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(meet(top,X_97),join(zero,X2)),
    inference(resolve,[$cnf( $equal(join(complement(join(top,complement(X_97))),X2),join(zero,X2)) )],[refute_0_2586,refute_0_2589]) ).

cnf(refute_0_2591,plain,
    ( join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) != join(meet(top,X_97),join(zero,X2))
    | join(meet(top,X_97),join(zero,X2)) != join(zero,join(meet(top,X_97),X2))
    | join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(zero,join(meet(top,X_97),X2)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)))),bind(Y,$fot(join(meet(top,X_97),join(zero,X2)))),bind(Z,$fot(join(zero,join(meet(top,X_97),X2))))]]) ).

cnf(refute_0_2592,plain,
    ( join(meet(top,X_97),join(zero,X2)) != join(zero,join(meet(top,X_97),X2))
    | join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(zero,join(meet(top,X_97),X2)) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)),join(meet(top,X_97),join(zero,X2))) )],[refute_0_2590,refute_0_2591]) ).

cnf(refute_0_2593,plain,
    join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) = join(zero,join(meet(top,X_97),X2)),
    inference(resolve,[$cnf( $equal(join(meet(top,X_97),join(zero,X2)),join(zero,join(meet(top,X_97),X2))) )],[refute_0_2574,refute_0_2592]) ).

cnf(refute_0_2594,plain,
    ( join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) != join(X_97,X2)
    | join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) != join(zero,join(meet(top,X_97),X2))
    | join(zero,join(meet(top,X_97),X2)) = join(X_97,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)),join(X_97,X2)) ),[0],$fot(join(zero,join(meet(top,X_97),X2)))]]) ).

cnf(refute_0_2595,plain,
    ( join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)) != join(X_97,X2)
    | join(zero,join(meet(top,X_97),X2)) = join(X_97,X2) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)),join(zero,join(meet(top,X_97),X2))) )],[refute_0_2593,refute_0_2594]) ).

cnf(refute_0_2596,plain,
    join(zero,join(meet(top,X_97),X2)) = join(X_97,X2),
    inference(resolve,[$cnf( $equal(join(meet(top,X_97),join(complement(join(top,complement(X_97))),X2)),join(X_97,X2)) )],[refute_0_2573,refute_0_2595]) ).

cnf(refute_0_2597,plain,
    join(zero,join(meet(top,X_68),complement(meet(X_68,top)))) = join(X_68,complement(meet(X_68,top))),
    inference(subst,[],[refute_0_2596:[bind(X2,$fot(complement(meet(X_68,top)))),bind(X_97,$fot(X_68))]]) ).

cnf(refute_0_2598,plain,
    ( join(zero,join(meet(top,X_68),complement(meet(X_68,top)))) != join(X_68,complement(meet(X_68,top)))
    | top != join(zero,join(meet(top,X_68),complement(meet(X_68,top))))
    | top = join(X_68,complement(meet(X_68,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(meet(top,X_68),complement(meet(X_68,top))))) ),[1],$fot(join(X_68,complement(meet(X_68,top))))]]) ).

cnf(refute_0_2599,plain,
    ( top != join(zero,join(meet(top,X_68),complement(meet(X_68,top))))
    | top = join(X_68,complement(meet(X_68,top))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,X_68),complement(meet(X_68,top)))),join(X_68,complement(meet(X_68,top)))) )],[refute_0_2597,refute_0_2598]) ).

cnf(refute_0_2600,plain,
    top = join(X_68,complement(meet(X_68,top))),
    inference(resolve,[$cnf( $equal(top,join(zero,join(meet(top,X_68),complement(meet(X_68,top))))) )],[refute_0_2566,refute_0_2599]) ).

cnf(refute_0_2601,plain,
    ( top != join(X_68,complement(meet(X_68,top)))
    | join(X_68,complement(meet(X_68,top))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X_68,complement(meet(X_68,top)))))]]) ).

cnf(refute_0_2602,plain,
    join(X_68,complement(meet(X_68,top))) = top,
    inference(resolve,[$cnf( $equal(top,join(X_68,complement(meet(X_68,top)))) )],[refute_0_2600,refute_0_2601]) ).

cnf(refute_0_2603,plain,
    join(X_89,complement(meet(X_89,top))) = top,
    inference(subst,[],[refute_0_2602:[bind(X_68,$fot(X_89))]]) ).

cnf(refute_0_2604,plain,
    join(complement(meet(X_89,top)),X_89) = join(X_89,complement(meet(X_89,top))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(X_89)),bind(X1,$fot(complement(meet(X_89,top))))]]) ).

cnf(refute_0_2605,plain,
    ( join(X_89,complement(meet(X_89,top))) != top
    | join(complement(meet(X_89,top)),X_89) != join(X_89,complement(meet(X_89,top)))
    | join(complement(meet(X_89,top)),X_89) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(meet(X_89,top)),X_89))),bind(Y,$fot(join(X_89,complement(meet(X_89,top))))),bind(Z,$fot(top))]]) ).

cnf(refute_0_2606,plain,
    ( join(X_89,complement(meet(X_89,top))) != top
    | join(complement(meet(X_89,top)),X_89) = top ),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_89,top)),X_89),join(X_89,complement(meet(X_89,top)))) )],[refute_0_2604,refute_0_2605]) ).

cnf(refute_0_2607,plain,
    join(complement(meet(X_89,top)),X_89) = top,
    inference(resolve,[$cnf( $equal(join(X_89,complement(meet(X_89,top))),top) )],[refute_0_2603,refute_0_2606]) ).

cnf(refute_0_2608,plain,
    complement(join(complement(meet(X_89,top)),X_89)) = complement(join(complement(meet(X_89,top)),X_89)),
    introduced(tautology,[refl,[$fot(complement(join(complement(meet(X_89,top)),X_89)))]]) ).

cnf(refute_0_2609,plain,
    ( complement(join(complement(meet(X_89,top)),X_89)) != complement(join(complement(meet(X_89,top)),X_89))
    | join(complement(meet(X_89,top)),X_89) != top
    | complement(join(complement(meet(X_89,top)),X_89)) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(X_89,top)),X_89)),complement(join(complement(meet(X_89,top)),X_89))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2610,plain,
    ( join(complement(meet(X_89,top)),X_89) != top
    | complement(join(complement(meet(X_89,top)),X_89)) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(meet(X_89,top)),X_89)),complement(join(complement(meet(X_89,top)),X_89))) )],[refute_0_2608,refute_0_2609]) ).

cnf(refute_0_2611,plain,
    complement(join(complement(meet(X_89,top)),X_89)) = complement(top),
    inference(resolve,[$cnf( $equal(join(complement(meet(X_89,top)),X_89),top) )],[refute_0_2607,refute_0_2610]) ).

cnf(refute_0_2612,plain,
    ( complement(join(complement(meet(X_89,top)),X_89)) != complement(top)
    | complement(top) != zero
    | complement(join(complement(meet(X_89,top)),X_89)) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(complement(meet(X_89,top)),X_89)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2613,plain,
    ( complement(top) != zero
    | complement(join(complement(meet(X_89,top)),X_89)) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(complement(meet(X_89,top)),X_89)),complement(top)) )],[refute_0_2611,refute_0_2612]) ).

cnf(refute_0_2614,plain,
    complement(join(complement(meet(X_89,top)),X_89)) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2613]) ).

cnf(refute_0_2615,plain,
    join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) = join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))),
    introduced(tautology,[refl,[$fot(join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))))]]) ).

cnf(refute_0_2616,plain,
    ( complement(join(complement(meet(X_89,top)),X_89)) != zero
    | join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) != join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89)))
    | join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) = join(meet(X_89,top),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))),join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2617,plain,
    ( complement(join(complement(meet(X_89,top)),X_89)) != zero
    | join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) = join(meet(X_89,top),zero) ),
    inference(resolve,[$cnf( $equal(join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))),join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89)))) )],[refute_0_2615,refute_0_2616]) ).

cnf(refute_0_2618,plain,
    join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) = join(meet(X_89,top),zero),
    inference(resolve,[$cnf( $equal(complement(join(complement(meet(X_89,top)),X_89)),zero) )],[refute_0_2614,refute_0_2617]) ).

cnf(refute_0_2619,plain,
    ( join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) != join(meet(X_89,top),zero)
    | join(meet(X_89,top),zero) != X_89
    | join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) = X_89 ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))))),bind(Y,$fot(join(meet(X_89,top),zero))),bind(Z,$fot(X_89))]]) ).

cnf(refute_0_2620,plain,
    ( join(meet(X_89,top),zero) != X_89
    | join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) = X_89 ),
    inference(resolve,[$cnf( $equal(join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))),join(meet(X_89,top),zero)) )],[refute_0_2618,refute_0_2619]) ).

cnf(refute_0_2621,plain,
    join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) = X_89,
    inference(resolve,[$cnf( $equal(join(meet(X_89,top),zero),X_89) )],[refute_0_2535,refute_0_2620]) ).

cnf(refute_0_2622,plain,
    ( join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))) != X_89
    | meet(X_89,top) != join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89)))
    | meet(X_89,top) = X_89 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_89,top),join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89)))) ),[1],$fot(X_89)]]) ).

cnf(refute_0_2623,plain,
    ( meet(X_89,top) != join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89)))
    | meet(X_89,top) = X_89 ),
    inference(resolve,[$cnf( $equal(join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89))),X_89) )],[refute_0_2621,refute_0_2622]) ).

cnf(refute_0_2624,plain,
    meet(X_89,top) = X_89,
    inference(resolve,[$cnf( $equal(meet(X_89,top),join(meet(X_89,top),complement(join(complement(meet(X_89,top)),X_89)))) )],[refute_0_2512,refute_0_2623]) ).

cnf(refute_0_2625,plain,
    meet(X_67,top) = X_67,
    inference(subst,[],[refute_0_2624:[bind(X_89,$fot(X_67))]]) ).

cnf(refute_0_2626,plain,
    ( meet(X_67,top) != X_67
    | meet(X_67,top) != meet(X_67,meet(X_67,top))
    | X_67 = meet(X_67,meet(X_67,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_67,top),meet(X_67,meet(X_67,top))) ),[0],$fot(X_67)]]) ).

cnf(refute_0_2627,plain,
    ( meet(X_67,top) != meet(X_67,meet(X_67,top))
    | X_67 = meet(X_67,meet(X_67,top)) ),
    inference(resolve,[$cnf( $equal(meet(X_67,top),X_67) )],[refute_0_2625,refute_0_2626]) ).

cnf(refute_0_2628,plain,
    meet(X_67,meet(X_67,top)) = meet(X_67,meet(X_67,top)),
    introduced(tautology,[refl,[$fot(meet(X_67,meet(X_67,top)))]]) ).

cnf(refute_0_2629,plain,
    ( meet(X_67,meet(X_67,top)) != meet(X_67,meet(X_67,top))
    | meet(X_67,top) != X_67
    | meet(X_67,meet(X_67,top)) = meet(X_67,X_67) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_67,meet(X_67,top)),meet(X_67,meet(X_67,top))) ),[1,1],$fot(X_67)]]) ).

cnf(refute_0_2630,plain,
    ( meet(X_67,top) != X_67
    | meet(X_67,meet(X_67,top)) = meet(X_67,X_67) ),
    inference(resolve,[$cnf( $equal(meet(X_67,meet(X_67,top)),meet(X_67,meet(X_67,top))) )],[refute_0_2628,refute_0_2629]) ).

cnf(refute_0_2631,plain,
    meet(X_67,meet(X_67,top)) = meet(X_67,X_67),
    inference(resolve,[$cnf( $equal(meet(X_67,top),X_67) )],[refute_0_2625,refute_0_2630]) ).

cnf(refute_0_2632,plain,
    ( X_67 != meet(X_67,meet(X_67,top))
    | meet(X_67,meet(X_67,top)) != meet(X_67,X_67)
    | X_67 = meet(X_67,X_67) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_67,meet(X_67,X_67)) ),[0],$fot(meet(X_67,meet(X_67,top)))]]) ).

cnf(refute_0_2633,plain,
    ( X_67 != meet(X_67,meet(X_67,top))
    | X_67 = meet(X_67,X_67) ),
    inference(resolve,[$cnf( $equal(meet(X_67,meet(X_67,top)),meet(X_67,X_67)) )],[refute_0_2631,refute_0_2632]) ).

cnf(refute_0_2634,plain,
    ( meet(X_67,top) != meet(X_67,meet(X_67,top))
    | X_67 = meet(X_67,X_67) ),
    inference(resolve,[$cnf( $equal(X_67,meet(X_67,meet(X_67,top))) )],[refute_0_2627,refute_0_2633]) ).

cnf(refute_0_2635,plain,
    X_67 = meet(X_67,X_67),
    inference(resolve,[$cnf( $equal(meet(X_67,top),meet(X_67,meet(X_67,top))) )],[refute_0_2505,refute_0_2634]) ).

cnf(refute_0_2636,plain,
    ( X_67 != meet(X_67,X_67)
    | meet(X_67,X_67) = X_67 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X_67)),bind(Y,$fot(meet(X_67,X_67)))]]) ).

cnf(refute_0_2637,plain,
    meet(X_67,X_67) = X_67,
    inference(resolve,[$cnf( $equal(X_67,meet(X_67,X_67)) )],[refute_0_2635,refute_0_2636]) ).

cnf(refute_0_2638,plain,
    meet(X_88,X_88) = X_88,
    inference(subst,[],[refute_0_2637:[bind(X_67,$fot(X_88))]]) ).

cnf(refute_0_2639,plain,
    join(zero,meet(X_88,X_88)) = join(zero,meet(X_88,X_88)),
    introduced(tautology,[refl,[$fot(join(zero,meet(X_88,X_88)))]]) ).

cnf(refute_0_2640,plain,
    ( join(zero,meet(X_88,X_88)) != join(zero,meet(X_88,X_88))
    | meet(X_88,X_88) != X_88
    | join(zero,meet(X_88,X_88)) = join(zero,X_88) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_88,X_88)),join(zero,meet(X_88,X_88))) ),[1,1],$fot(X_88)]]) ).

cnf(refute_0_2641,plain,
    ( meet(X_88,X_88) != X_88
    | join(zero,meet(X_88,X_88)) = join(zero,X_88) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_88,X_88)),join(zero,meet(X_88,X_88))) )],[refute_0_2639,refute_0_2640]) ).

cnf(refute_0_2642,plain,
    join(zero,meet(X_88,X_88)) = join(zero,X_88),
    inference(resolve,[$cnf( $equal(meet(X_88,X_88),X_88) )],[refute_0_2638,refute_0_2641]) ).

cnf(refute_0_2643,plain,
    ( X_88 != join(zero,meet(X_88,X_88))
    | join(zero,meet(X_88,X_88)) != join(zero,X_88)
    | X_88 = join(zero,X_88) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,join(zero,X_88)) ),[0],$fot(join(zero,meet(X_88,X_88)))]]) ).

cnf(refute_0_2644,plain,
    ( X_88 != join(zero,meet(X_88,X_88))
    | X_88 = join(zero,X_88) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_88,X_88)),join(zero,X_88)) )],[refute_0_2642,refute_0_2643]) ).

cnf(refute_0_2645,plain,
    X_88 = join(zero,X_88),
    inference(resolve,[$cnf( $equal(X_88,join(zero,meet(X_88,X_88))) )],[refute_0_1712,refute_0_2644]) ).

cnf(refute_0_2646,plain,
    ( X_88 != join(zero,X_88)
    | join(zero,X_88) = X_88 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X_88)),bind(Y,$fot(join(zero,X_88)))]]) ).

cnf(refute_0_2647,plain,
    join(zero,X_88) = X_88,
    inference(resolve,[$cnf( $equal(X_88,join(zero,X_88)) )],[refute_0_2645,refute_0_2646]) ).

cnf(refute_0_2648,plain,
    join(zero,meet(X_88,join(complement(complement(X_88)),X_52))) = meet(X_88,join(complement(complement(X_88)),X_52)),
    inference(subst,[],[refute_0_2647:[bind(X_88,$fot(meet(X_88,join(complement(complement(X_88)),X_52))))]]) ).

cnf(refute_0_2649,plain,
    ( X_88 != join(zero,meet(X_88,join(complement(complement(X_88)),X_52)))
    | join(zero,meet(X_88,join(complement(complement(X_88)),X_52))) != meet(X_88,join(complement(complement(X_88)),X_52))
    | X_88 = meet(X_88,join(complement(complement(X_88)),X_52)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,meet(X_88,join(complement(complement(X_88)),X_52))) ),[0],$fot(join(zero,meet(X_88,join(complement(complement(X_88)),X_52))))]]) ).

cnf(refute_0_2650,plain,
    ( X_88 != join(zero,meet(X_88,join(complement(complement(X_88)),X_52)))
    | X_88 = meet(X_88,join(complement(complement(X_88)),X_52)) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_88,join(complement(complement(X_88)),X_52))),meet(X_88,join(complement(complement(X_88)),X_52))) )],[refute_0_2648,refute_0_2649]) ).

cnf(refute_0_2651,plain,
    X_88 = meet(X_88,join(complement(complement(X_88)),X_52)),
    inference(resolve,[$cnf( $equal(X_88,join(zero,meet(X_88,join(complement(complement(X_88)),X_52)))) )],[refute_0_2296,refute_0_2650]) ).

cnf(refute_0_2652,plain,
    meet(X_114,top) = join(meet(meet(X_114,top),complement(meet(top,X_114))),complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))),
    inference(subst,[],[refute_0_62:[bind(X_88,$fot(meet(X_114,top))),bind(X_89,$fot(complement(meet(top,X_114))))]]) ).

cnf(refute_0_2653,plain,
    meet(X0,join(zero,complement(X_34))) = complement(join(complement(X0),complement(join(zero,complement(X_34))))),
    inference(subst,[],[refute_0_41:[bind(X1,$fot(join(zero,complement(X_34))))]]) ).

cnf(refute_0_2654,plain,
    ( complement(join(zero,complement(X_34))) != meet(top,X_34)
    | meet(X0,join(zero,complement(X_34))) != complement(join(complement(X0),complement(join(zero,complement(X_34)))))
    | meet(X0,join(zero,complement(X_34))) = complement(join(complement(X0),meet(top,X_34))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_34))),complement(join(complement(X0),complement(join(zero,complement(X_34)))))) ),[1,0,1],$fot(meet(top,X_34))]]) ).

cnf(refute_0_2655,plain,
    ( meet(X0,join(zero,complement(X_34))) != complement(join(complement(X0),complement(join(zero,complement(X_34)))))
    | meet(X0,join(zero,complement(X_34))) = complement(join(complement(X0),meet(top,X_34))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_34))),meet(top,X_34)) )],[refute_0_2301,refute_0_2654]) ).

cnf(refute_0_2656,plain,
    meet(X0,join(zero,complement(X_34))) = complement(join(complement(X0),meet(top,X_34))),
    inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_34))),complement(join(complement(X0),complement(join(zero,complement(X_34)))))) )],[refute_0_2653,refute_0_2655]) ).

cnf(refute_0_2657,plain,
    join(complement(X_31),complement(X_32)) = complement(meet(X_31,X_32)),
    inference(subst,[],[refute_0_2483:[bind(X0,$fot(X_31)),bind(X1,$fot(X_32))]]) ).

cnf(refute_0_2658,plain,
    meet(X0,join(complement(X_31),complement(X_32))) = meet(X0,join(complement(X_31),complement(X_32))),
    introduced(tautology,[refl,[$fot(meet(X0,join(complement(X_31),complement(X_32))))]]) ).

cnf(refute_0_2659,plain,
    ( join(complement(X_31),complement(X_32)) != complement(meet(X_31,X_32))
    | meet(X0,join(complement(X_31),complement(X_32))) != meet(X0,join(complement(X_31),complement(X_32)))
    | meet(X0,join(complement(X_31),complement(X_32))) = meet(X0,complement(meet(X_31,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_31),complement(X_32))),meet(X0,join(complement(X_31),complement(X_32)))) ),[1,1],$fot(complement(meet(X_31,X_32)))]]) ).

cnf(refute_0_2660,plain,
    ( join(complement(X_31),complement(X_32)) != complement(meet(X_31,X_32))
    | meet(X0,join(complement(X_31),complement(X_32))) = meet(X0,complement(meet(X_31,X_32))) ),
    inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_31),complement(X_32))),meet(X0,join(complement(X_31),complement(X_32)))) )],[refute_0_2658,refute_0_2659]) ).

cnf(refute_0_2661,plain,
    meet(X0,join(complement(X_31),complement(X_32))) = meet(X0,complement(meet(X_31,X_32))),
    inference(resolve,[$cnf( $equal(join(complement(X_31),complement(X_32)),complement(meet(X_31,X_32))) )],[refute_0_2657,refute_0_2660]) ).

cnf(refute_0_2662,plain,
    ( meet(X0,join(complement(X_31),complement(X_32))) != complement(join(complement(X0),meet(X_31,X_32)))
    | meet(X0,join(complement(X_31),complement(X_32))) != meet(X0,complement(meet(X_31,X_32)))
    | meet(X0,complement(meet(X_31,X_32))) = complement(join(complement(X0),meet(X_31,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_31),complement(X_32))),complement(join(complement(X0),meet(X_31,X_32)))) ),[0],$fot(meet(X0,complement(meet(X_31,X_32))))]]) ).

cnf(refute_0_2663,plain,
    ( meet(X0,join(complement(X_31),complement(X_32))) != complement(join(complement(X0),meet(X_31,X_32)))
    | meet(X0,complement(meet(X_31,X_32))) = complement(join(complement(X0),meet(X_31,X_32))) ),
    inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_31),complement(X_32))),meet(X0,complement(meet(X_31,X_32)))) )],[refute_0_2661,refute_0_2662]) ).

cnf(refute_0_2664,plain,
    meet(X0,complement(meet(X_31,X_32))) = complement(join(complement(X0),meet(X_31,X_32))),
    inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_31),complement(X_32))),complement(join(complement(X0),meet(X_31,X_32)))) )],[refute_0_2437,refute_0_2663]) ).

cnf(refute_0_2665,plain,
    ( meet(X0,complement(meet(X_31,X_32))) != complement(join(complement(X0),meet(X_31,X_32)))
    | complement(join(complement(X0),meet(X_31,X_32))) = meet(X0,complement(meet(X_31,X_32))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X0,complement(meet(X_31,X_32))))),bind(Y,$fot(complement(join(complement(X0),meet(X_31,X_32)))))]]) ).

cnf(refute_0_2666,plain,
    complement(join(complement(X0),meet(X_31,X_32))) = meet(X0,complement(meet(X_31,X_32))),
    inference(resolve,[$cnf( $equal(meet(X0,complement(meet(X_31,X_32))),complement(join(complement(X0),meet(X_31,X_32)))) )],[refute_0_2664,refute_0_2665]) ).

cnf(refute_0_2667,plain,
    complement(join(complement(X0),meet(top,X_34))) = meet(X0,complement(meet(top,X_34))),
    inference(subst,[],[refute_0_2666:[bind(X_31,$fot(top)),bind(X_32,$fot(X_34))]]) ).

cnf(refute_0_2668,plain,
    ( complement(join(complement(X0),meet(top,X_34))) != meet(X0,complement(meet(top,X_34)))
    | meet(X0,join(zero,complement(X_34))) != complement(join(complement(X0),meet(top,X_34)))
    | meet(X0,join(zero,complement(X_34))) = meet(X0,complement(meet(top,X_34))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_34))),complement(join(complement(X0),meet(top,X_34)))) ),[1],$fot(meet(X0,complement(meet(top,X_34))))]]) ).

cnf(refute_0_2669,plain,
    ( meet(X0,join(zero,complement(X_34))) != complement(join(complement(X0),meet(top,X_34)))
    | meet(X0,join(zero,complement(X_34))) = meet(X0,complement(meet(top,X_34))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_34))),meet(X0,complement(meet(top,X_34)))) )],[refute_0_2667,refute_0_2668]) ).

cnf(refute_0_2670,plain,
    meet(X0,join(zero,complement(X_34))) = meet(X0,complement(meet(top,X_34))),
    inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_34))),complement(join(complement(X0),meet(top,X_34)))) )],[refute_0_2656,refute_0_2669]) ).

cnf(refute_0_2671,plain,
    meet(meet(X_67,top),join(zero,complement(X_67))) = meet(meet(X_67,top),complement(meet(top,X_67))),
    inference(subst,[],[refute_0_2670:[bind(X0,$fot(meet(X_67,top))),bind(X_34,$fot(X_67))]]) ).

cnf(refute_0_2672,plain,
    ( meet(meet(X_67,top),join(zero,complement(X_67))) != meet(meet(X_67,top),complement(meet(top,X_67)))
    | zero != meet(meet(X_67,top),join(zero,complement(X_67)))
    | zero = meet(meet(X_67,top),complement(meet(top,X_67))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(X_67,top),join(zero,complement(X_67)))) ),[1],$fot(meet(meet(X_67,top),complement(meet(top,X_67))))]]) ).

cnf(refute_0_2673,plain,
    ( zero != meet(meet(X_67,top),join(zero,complement(X_67)))
    | zero = meet(meet(X_67,top),complement(meet(top,X_67))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_67,top),join(zero,complement(X_67))),meet(meet(X_67,top),complement(meet(top,X_67)))) )],[refute_0_2671,refute_0_2672]) ).

cnf(refute_0_2674,plain,
    zero = meet(meet(X_67,top),complement(meet(top,X_67))),
    inference(resolve,[$cnf( $equal(zero,meet(meet(X_67,top),join(zero,complement(X_67)))) )],[refute_0_2327,refute_0_2673]) ).

cnf(refute_0_2675,plain,
    zero = meet(meet(X_114,top),complement(meet(top,X_114))),
    inference(subst,[],[refute_0_2674:[bind(X_67,$fot(X_114))]]) ).

cnf(refute_0_2676,plain,
    ( zero != meet(meet(X_114,top),complement(meet(top,X_114)))
    | meet(meet(X_114,top),complement(meet(top,X_114))) = zero ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(X_114,top),complement(meet(top,X_114)))))]]) ).

cnf(refute_0_2677,plain,
    meet(meet(X_114,top),complement(meet(top,X_114))) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(meet(X_114,top),complement(meet(top,X_114)))) )],[refute_0_2675,refute_0_2676]) ).

cnf(refute_0_2678,plain,
    ( meet(X_114,top) != join(meet(meet(X_114,top),complement(meet(top,X_114))),complement(join(complement(meet(top,X_114)),complement(meet(X_114,top)))))
    | meet(meet(X_114,top),complement(meet(top,X_114))) != zero
    | meet(X_114,top) = join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_114,top),join(meet(meet(X_114,top),complement(meet(top,X_114))),complement(join(complement(meet(top,X_114)),complement(meet(X_114,top)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2679,plain,
    ( meet(X_114,top) != join(meet(meet(X_114,top),complement(meet(top,X_114))),complement(join(complement(meet(top,X_114)),complement(meet(X_114,top)))))
    | meet(X_114,top) = join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_114,top),complement(meet(top,X_114))),zero) )],[refute_0_2677,refute_0_2678]) ).

cnf(refute_0_2680,plain,
    meet(X_114,top) = join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))),
    inference(resolve,[$cnf( $equal(meet(X_114,top),join(meet(meet(X_114,top),complement(meet(top,X_114))),complement(join(complement(meet(top,X_114)),complement(meet(X_114,top)))))) )],[refute_0_2652,refute_0_2679]) ).

cnf(refute_0_2681,plain,
    join(complement(meet(top,X_114)),complement(meet(X_114,top))) = complement(meet(meet(top,X_114),meet(X_114,top))),
    inference(subst,[],[refute_0_2483:[bind(X0,$fot(meet(top,X_114))),bind(X1,$fot(meet(X_114,top)))]]) ).

cnf(refute_0_2682,plain,
    meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))) = meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))),
    introduced(tautology,[refl,[$fot(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))))]]) ).

cnf(refute_0_2683,plain,
    ( join(complement(meet(top,X_114)),complement(meet(X_114,top))) != complement(meet(meet(top,X_114),meet(X_114,top)))
    | meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))) != meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))
    | meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))) = meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))),meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))) ),[1,1],$fot(complement(meet(meet(top,X_114),meet(X_114,top))))]]) ).

cnf(refute_0_2684,plain,
    ( join(complement(meet(top,X_114)),complement(meet(X_114,top))) != complement(meet(meet(top,X_114),meet(X_114,top)))
    | meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))) = meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))) ),
    inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))),meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))) )],[refute_0_2682,refute_0_2683]) ).

cnf(refute_0_2685,plain,
    meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))) = meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))),
    inference(resolve,[$cnf( $equal(join(complement(meet(top,X_114)),complement(meet(X_114,top))),complement(meet(meet(top,X_114),meet(X_114,top)))) )],[refute_0_2681,refute_0_2684]) ).

cnf(refute_0_2686,plain,
    complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))) = complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))),
    introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))))]]) ).

cnf(refute_0_2687,plain,
    ( complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))) != complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))))
    | meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))) != meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))
    | complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))) = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))),complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))))) ),[1,0],$fot(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))]]) ).

cnf(refute_0_2688,plain,
    ( meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))) != meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))
    | complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))) = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) ),
    inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))),complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))))) )],[refute_0_2686,refute_0_2687]) ).

cnf(refute_0_2689,plain,
    complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))) = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))),
    inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))),meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) )],[refute_0_2685,refute_0_2688]) ).

cnf(refute_0_2690,plain,
    join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1)))))),
    inference(subst,[],[refute_0_2424:[bind(X_88,$fot(join(zero,complement(X1))))]]) ).

cnf(refute_0_2691,plain,
    ( complement(join(zero,complement(X1))) != meet(top,X1)
    | join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))
    | join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) ),[1,1,1,0],$fot(meet(top,X1))]]) ).

cnf(refute_0_2692,plain,
    ( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))
    | join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_2355,refute_0_2691]) ).

cnf(refute_0_2693,plain,
    join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
    inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) )],[refute_0_2690,refute_0_2692]) ).

cnf(refute_0_2694,plain,
    meet(join(zero,complement(X1)),complement(meet(top,X1))) = meet(complement(meet(top,X1)),join(zero,complement(X1))),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(complement(meet(top,X1)))),bind(X_32,$fot(join(zero,complement(X1))))]]) ).

cnf(refute_0_2695,plain,
    join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
    introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).

cnf(refute_0_2696,plain,
    ( join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
    | meet(join(zero,complement(X1)),complement(meet(top,X1))) != meet(complement(meet(top,X1)),join(zero,complement(X1)))
    | join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) ),[1,1],$fot(meet(complement(meet(top,X1)),join(zero,complement(X1))))]]) ).

cnf(refute_0_2697,plain,
    ( meet(join(zero,complement(X1)),complement(meet(top,X1))) != meet(complement(meet(top,X1)),join(zero,complement(X1)))
    | join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_0_2695,refute_0_2696]) ).

cnf(refute_0_2698,plain,
    join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
    inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),complement(meet(top,X1))),meet(complement(meet(top,X1)),join(zero,complement(X1)))) )],[refute_0_2694,refute_0_2697]) ).

cnf(refute_0_2699,plain,
    ( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
    | join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
    | join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) ),[0],$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).

cnf(refute_0_2700,plain,
    ( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
    | join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_2698,refute_0_2699]) ).

cnf(refute_0_2701,plain,
    join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
    inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_0_2693,refute_0_2700]) ).

cnf(refute_0_2702,plain,
    ( X_88 != join(zero,meet(X_88,X_88))
    | join(zero,meet(X_88,X_88)) = X_88 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X_88)),bind(Y,$fot(join(zero,meet(X_88,X_88))))]]) ).

cnf(refute_0_2703,plain,
    join(zero,meet(X_88,X_88)) = X_88,
    inference(resolve,[$cnf( $equal(X_88,join(zero,meet(X_88,X_88))) )],[refute_0_1712,refute_0_2702]) ).

cnf(refute_0_2704,plain,
    join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) = complement(meet(top,X1)),
    inference(subst,[],[refute_0_2703:[bind(X_88,$fot(complement(meet(top,X1))))]]) ).

cnf(refute_0_2705,plain,
    meet(complement(meet(top,X1)),join(zero,complement(X1))) = meet(complement(meet(top,X1)),complement(meet(top,X1))),
    inference(subst,[],[refute_0_2670:[bind(X0,$fot(complement(meet(top,X1)))),bind(X_34,$fot(X1))]]) ).

cnf(refute_0_2706,plain,
    join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
    introduced(tautology,[refl,[$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))]]) ).

cnf(refute_0_2707,plain,
    ( join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
    | meet(complement(meet(top,X1)),join(zero,complement(X1))) != meet(complement(meet(top,X1)),complement(meet(top,X1)))
    | join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) ),[1,1],$fot(meet(complement(meet(top,X1)),complement(meet(top,X1))))]]) ).

cnf(refute_0_2708,plain,
    ( meet(complement(meet(top,X1)),join(zero,complement(X1))) != meet(complement(meet(top,X1)),complement(meet(top,X1)))
    | join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_2706,refute_0_2707]) ).

cnf(refute_0_2709,plain,
    join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))),
    inference(resolve,[$cnf( $equal(meet(complement(meet(top,X1)),join(zero,complement(X1))),meet(complement(meet(top,X1)),complement(meet(top,X1)))) )],[refute_0_2705,refute_0_2708]) ).

cnf(refute_0_2710,plain,
    ( join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) != complement(meet(top,X1))
    | join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1))))
    | join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))),bind(Y,$fot(join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))))),bind(Z,$fot(complement(meet(top,X1))))]]) ).

cnf(refute_0_2711,plain,
    ( join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) != complement(meet(top,X1))
    | join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1))))) )],[refute_0_2709,refute_0_2710]) ).

cnf(refute_0_2712,plain,
    join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)),
    inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))),complement(meet(top,X1))) )],[refute_0_2704,refute_0_2711]) ).

cnf(refute_0_2713,plain,
    ( join(zero,complement(X1)) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
    | join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != complement(meet(top,X1))
    | join(zero,complement(X1)) = complement(meet(top,X1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X1)),complement(meet(top,X1))) ),[0],$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))]]) ).

cnf(refute_0_2714,plain,
    ( join(zero,complement(X1)) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
    | join(zero,complement(X1)) = complement(meet(top,X1)) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),complement(meet(top,X1))) )],[refute_0_2712,refute_0_2713]) ).

cnf(refute_0_2715,plain,
    join(zero,complement(X1)) = complement(meet(top,X1)),
    inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_2701,refute_0_2714]) ).

cnf(refute_0_2716,plain,
    join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))) = complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))),
    inference(subst,[],[refute_0_2715:[bind(X1,$fot(join(complement(meet(top,X_114)),complement(meet(X_114,top)))))]]) ).

cnf(refute_0_2717,plain,
    ( complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))) != complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))
    | join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))) != complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))))
    | join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))) = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))))),bind(Y,$fot(complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))))),bind(Z,$fot(complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))))]]) ).

cnf(refute_0_2718,plain,
    ( complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))) != complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))
    | join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))) = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))),complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top)))))) )],[refute_0_2716,refute_0_2717]) ).

cnf(refute_0_2719,plain,
    join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))) = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))),
    inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,X_114)),complement(meet(X_114,top))))),complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))) )],[refute_0_2689,refute_0_2718]) ).

cnf(refute_0_2720,plain,
    ( join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))) != complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))
    | meet(X_114,top) != join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top)))))
    | meet(X_114,top) = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_114,top),join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top)))))) ),[1],$fot(complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))))]]) ).

cnf(refute_0_2721,plain,
    ( meet(X_114,top) != join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top)))))
    | meet(X_114,top) = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top))))),complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))) )],[refute_0_2719,refute_0_2720]) ).

cnf(refute_0_2722,plain,
    meet(X_114,top) = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))),
    inference(resolve,[$cnf( $equal(meet(X_114,top),join(zero,complement(join(complement(meet(top,X_114)),complement(meet(X_114,top)))))) )],[refute_0_2680,refute_0_2721]) ).

cnf(refute_0_2723,plain,
    meet(X_114,top) = X_114,
    inference(subst,[],[refute_0_2624:[bind(X_89,$fot(X_114))]]) ).

cnf(refute_0_2724,plain,
    ( meet(X_114,top) != X_114
    | meet(X_114,top) != complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))
    | X_114 = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_114,top),complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))) ),[0],$fot(X_114)]]) ).

cnf(refute_0_2725,plain,
    ( meet(X_114,top) != complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))
    | X_114 = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) ),
    inference(resolve,[$cnf( $equal(meet(X_114,top),X_114) )],[refute_0_2723,refute_0_2724]) ).

cnf(refute_0_2726,plain,
    meet(X_114,X_114) = X_114,
    inference(subst,[],[refute_0_2637:[bind(X_67,$fot(X_114))]]) ).

cnf(refute_0_2727,plain,
    meet(X_114,meet(X_114,top)) = meet(X_114,meet(X_114,top)),
    introduced(tautology,[refl,[$fot(meet(X_114,meet(X_114,top)))]]) ).

cnf(refute_0_2728,plain,
    ( meet(X_114,meet(X_114,top)) != meet(X_114,meet(X_114,top))
    | meet(X_114,top) != X_114
    | meet(X_114,meet(X_114,top)) = meet(X_114,X_114) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_114,meet(X_114,top)),meet(X_114,meet(X_114,top))) ),[1,1],$fot(X_114)]]) ).

cnf(refute_0_2729,plain,
    ( meet(X_114,top) != X_114
    | meet(X_114,meet(X_114,top)) = meet(X_114,X_114) ),
    inference(resolve,[$cnf( $equal(meet(X_114,meet(X_114,top)),meet(X_114,meet(X_114,top))) )],[refute_0_2727,refute_0_2728]) ).

cnf(refute_0_2730,plain,
    meet(X_114,meet(X_114,top)) = meet(X_114,X_114),
    inference(resolve,[$cnf( $equal(meet(X_114,top),X_114) )],[refute_0_2723,refute_0_2729]) ).

cnf(refute_0_2731,plain,
    meet(X_126,top) = meet(X_126,meet(X_126,top)),
    inference(subst,[],[refute_0_2505:[bind(X_67,$fot(X_126))]]) ).

cnf(refute_0_2732,plain,
    meet(top,X_126) = meet(X_126,top),
    inference(subst,[],[refute_0_2314:[bind(X_31,$fot(top)),bind(X_32,$fot(X_126))]]) ).

cnf(refute_0_2733,plain,
    ( meet(top,X_126) != meet(X_126,top)
    | meet(X_126,top) = meet(top,X_126) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,X_126))),bind(Y,$fot(meet(X_126,top)))]]) ).

cnf(refute_0_2734,plain,
    meet(X_126,top) = meet(top,X_126),
    inference(resolve,[$cnf( $equal(meet(top,X_126),meet(X_126,top)) )],[refute_0_2732,refute_0_2733]) ).

cnf(refute_0_2735,plain,
    ( meet(X_126,top) != meet(X_126,meet(X_126,top))
    | meet(X_126,top) != meet(top,X_126)
    | meet(top,X_126) = meet(X_126,meet(X_126,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_126,top),meet(X_126,meet(X_126,top))) ),[0],$fot(meet(top,X_126))]]) ).

cnf(refute_0_2736,plain,
    ( meet(X_126,top) != meet(X_126,meet(X_126,top))
    | meet(top,X_126) = meet(X_126,meet(X_126,top)) ),
    inference(resolve,[$cnf( $equal(meet(X_126,top),meet(top,X_126)) )],[refute_0_2734,refute_0_2735]) ).

cnf(refute_0_2737,plain,
    meet(top,X_126) = meet(X_126,meet(X_126,top)),
    inference(resolve,[$cnf( $equal(meet(X_126,top),meet(X_126,meet(X_126,top))) )],[refute_0_2731,refute_0_2736]) ).

cnf(refute_0_2738,plain,
    meet(X_126,top) = X_126,
    inference(subst,[],[refute_0_2624:[bind(X_89,$fot(X_126))]]) ).

cnf(refute_0_2739,plain,
    ( meet(X_67,top) != meet(X_67,meet(X_67,top))
    | meet(X_67,meet(X_67,top)) = meet(X_67,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_67,top))),bind(Y,$fot(meet(X_67,meet(X_67,top))))]]) ).

cnf(refute_0_2740,plain,
    meet(X_67,meet(X_67,top)) = meet(X_67,top),
    inference(resolve,[$cnf( $equal(meet(X_67,top),meet(X_67,meet(X_67,top))) )],[refute_0_2505,refute_0_2739]) ).

cnf(refute_0_2741,plain,
    meet(X_126,meet(X_126,top)) = meet(X_126,top),
    inference(subst,[],[refute_0_2740:[bind(X_67,$fot(X_126))]]) ).

cnf(refute_0_2742,plain,
    ( meet(X_126,meet(X_126,top)) != meet(X_126,top)
    | meet(X_126,top) != X_126
    | meet(X_126,meet(X_126,top)) = X_126 ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(X_126,meet(X_126,top)))),bind(Y,$fot(meet(X_126,top))),bind(Z,$fot(X_126))]]) ).

cnf(refute_0_2743,plain,
    ( meet(X_126,top) != X_126
    | meet(X_126,meet(X_126,top)) = X_126 ),
    inference(resolve,[$cnf( $equal(meet(X_126,meet(X_126,top)),meet(X_126,top)) )],[refute_0_2741,refute_0_2742]) ).

cnf(refute_0_2744,plain,
    meet(X_126,meet(X_126,top)) = X_126,
    inference(resolve,[$cnf( $equal(meet(X_126,top),X_126) )],[refute_0_2738,refute_0_2743]) ).

cnf(refute_0_2745,plain,
    ( meet(X_126,meet(X_126,top)) != X_126
    | meet(top,X_126) != meet(X_126,meet(X_126,top))
    | meet(top,X_126) = X_126 ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,X_126),meet(X_126,meet(X_126,top))) ),[1],$fot(X_126)]]) ).

cnf(refute_0_2746,plain,
    ( meet(top,X_126) != meet(X_126,meet(X_126,top))
    | meet(top,X_126) = X_126 ),
    inference(resolve,[$cnf( $equal(meet(X_126,meet(X_126,top)),X_126) )],[refute_0_2744,refute_0_2745]) ).

cnf(refute_0_2747,plain,
    meet(top,X_126) = X_126,
    inference(resolve,[$cnf( $equal(meet(top,X_126),meet(X_126,meet(X_126,top))) )],[refute_0_2737,refute_0_2746]) ).

cnf(refute_0_2748,plain,
    meet(top,X_114) = X_114,
    inference(subst,[],[refute_0_2747:[bind(X_126,$fot(X_114))]]) ).

cnf(refute_0_2749,plain,
    meet(meet(top,X_114),meet(X_114,top)) = meet(meet(top,X_114),meet(X_114,top)),
    introduced(tautology,[refl,[$fot(meet(meet(top,X_114),meet(X_114,top)))]]) ).

cnf(refute_0_2750,plain,
    ( meet(meet(top,X_114),meet(X_114,top)) != meet(meet(top,X_114),meet(X_114,top))
    | meet(top,X_114) != X_114
    | meet(meet(top,X_114),meet(X_114,top)) = meet(X_114,meet(X_114,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(top,X_114),meet(X_114,top)),meet(meet(top,X_114),meet(X_114,top))) ),[1,0],$fot(X_114)]]) ).

cnf(refute_0_2751,plain,
    ( meet(top,X_114) != X_114
    | meet(meet(top,X_114),meet(X_114,top)) = meet(X_114,meet(X_114,top)) ),
    inference(resolve,[$cnf( $equal(meet(meet(top,X_114),meet(X_114,top)),meet(meet(top,X_114),meet(X_114,top))) )],[refute_0_2749,refute_0_2750]) ).

cnf(refute_0_2752,plain,
    meet(meet(top,X_114),meet(X_114,top)) = meet(X_114,meet(X_114,top)),
    inference(resolve,[$cnf( $equal(meet(top,X_114),X_114) )],[refute_0_2748,refute_0_2751]) ).

cnf(refute_0_2753,plain,
    ( meet(X_114,meet(X_114,top)) != meet(X_114,X_114)
    | meet(meet(top,X_114),meet(X_114,top)) != meet(X_114,meet(X_114,top))
    | meet(meet(top,X_114),meet(X_114,top)) = meet(X_114,X_114) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(meet(top,X_114),meet(X_114,top)))),bind(Y,$fot(meet(X_114,meet(X_114,top)))),bind(Z,$fot(meet(X_114,X_114)))]]) ).

cnf(refute_0_2754,plain,
    ( meet(X_114,meet(X_114,top)) != meet(X_114,X_114)
    | meet(meet(top,X_114),meet(X_114,top)) = meet(X_114,X_114) ),
    inference(resolve,[$cnf( $equal(meet(meet(top,X_114),meet(X_114,top)),meet(X_114,meet(X_114,top))) )],[refute_0_2752,refute_0_2753]) ).

cnf(refute_0_2755,plain,
    meet(meet(top,X_114),meet(X_114,top)) = meet(X_114,X_114),
    inference(resolve,[$cnf( $equal(meet(X_114,meet(X_114,top)),meet(X_114,X_114)) )],[refute_0_2730,refute_0_2754]) ).

cnf(refute_0_2756,plain,
    ( meet(X_114,X_114) != X_114
    | meet(meet(top,X_114),meet(X_114,top)) != meet(X_114,X_114)
    | meet(meet(top,X_114),meet(X_114,top)) = X_114 ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(meet(top,X_114),meet(X_114,top)))),bind(Y,$fot(meet(X_114,X_114))),bind(Z,$fot(X_114))]]) ).

cnf(refute_0_2757,plain,
    ( meet(X_114,X_114) != X_114
    | meet(meet(top,X_114),meet(X_114,top)) = X_114 ),
    inference(resolve,[$cnf( $equal(meet(meet(top,X_114),meet(X_114,top)),meet(X_114,X_114)) )],[refute_0_2755,refute_0_2756]) ).

cnf(refute_0_2758,plain,
    meet(meet(top,X_114),meet(X_114,top)) = X_114,
    inference(resolve,[$cnf( $equal(meet(X_114,X_114),X_114) )],[refute_0_2726,refute_0_2757]) ).

cnf(refute_0_2759,plain,
    complement(meet(meet(top,X_114),meet(X_114,top))) = complement(meet(meet(top,X_114),meet(X_114,top))),
    introduced(tautology,[refl,[$fot(complement(meet(meet(top,X_114),meet(X_114,top))))]]) ).

cnf(refute_0_2760,plain,
    ( complement(meet(meet(top,X_114),meet(X_114,top))) != complement(meet(meet(top,X_114),meet(X_114,top)))
    | meet(meet(top,X_114),meet(X_114,top)) != X_114
    | complement(meet(meet(top,X_114),meet(X_114,top))) = complement(X_114) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(meet(top,X_114),meet(X_114,top))),complement(meet(meet(top,X_114),meet(X_114,top)))) ),[1,0],$fot(X_114)]]) ).

cnf(refute_0_2761,plain,
    ( meet(meet(top,X_114),meet(X_114,top)) != X_114
    | complement(meet(meet(top,X_114),meet(X_114,top))) = complement(X_114) ),
    inference(resolve,[$cnf( $equal(complement(meet(meet(top,X_114),meet(X_114,top))),complement(meet(meet(top,X_114),meet(X_114,top)))) )],[refute_0_2759,refute_0_2760]) ).

cnf(refute_0_2762,plain,
    complement(meet(meet(top,X_114),meet(X_114,top))) = complement(X_114),
    inference(resolve,[$cnf( $equal(meet(meet(top,X_114),meet(X_114,top)),X_114) )],[refute_0_2758,refute_0_2761]) ).

cnf(refute_0_2763,plain,
    meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))) = complement(meet(meet(top,X_114),meet(X_114,top))),
    inference(subst,[],[refute_0_2747:[bind(X_126,$fot(complement(meet(meet(top,X_114),meet(X_114,top)))))]]) ).

cnf(refute_0_2764,plain,
    ( complement(meet(meet(top,X_114),meet(X_114,top))) != complement(X_114)
    | meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))) != complement(meet(meet(top,X_114),meet(X_114,top)))
    | meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))) = complement(X_114) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))),bind(Y,$fot(complement(meet(meet(top,X_114),meet(X_114,top))))),bind(Z,$fot(complement(X_114)))]]) ).

cnf(refute_0_2765,plain,
    ( complement(meet(meet(top,X_114),meet(X_114,top))) != complement(X_114)
    | meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))) = complement(X_114) ),
    inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))),complement(meet(meet(top,X_114),meet(X_114,top)))) )],[refute_0_2763,refute_0_2764]) ).

cnf(refute_0_2766,plain,
    meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))) = complement(X_114),
    inference(resolve,[$cnf( $equal(complement(meet(meet(top,X_114),meet(X_114,top))),complement(X_114)) )],[refute_0_2762,refute_0_2765]) ).

cnf(refute_0_2767,plain,
    complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) = complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))),
    introduced(tautology,[refl,[$fot(complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))))]]) ).

cnf(refute_0_2768,plain,
    ( complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) != complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))
    | meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))) != complement(X_114)
    | complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) = complement(complement(X_114)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))),complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))) ),[1,0],$fot(complement(X_114))]]) ).

cnf(refute_0_2769,plain,
    ( meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))) != complement(X_114)
    | complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) = complement(complement(X_114)) ),
    inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))),complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))) )],[refute_0_2767,refute_0_2768]) ).

cnf(refute_0_2770,plain,
    complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) = complement(complement(X_114)),
    inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))),complement(X_114)) )],[refute_0_2766,refute_0_2769]) ).

cnf(refute_0_2771,plain,
    ( X_114 != complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))
    | complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))) != complement(complement(X_114))
    | X_114 = complement(complement(X_114)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_114,complement(complement(X_114))) ),[0],$fot(complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))))]]) ).

cnf(refute_0_2772,plain,
    ( X_114 != complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))
    | X_114 = complement(complement(X_114)) ),
    inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top))))),complement(complement(X_114))) )],[refute_0_2770,refute_0_2771]) ).

cnf(refute_0_2773,plain,
    ( meet(X_114,top) != complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))
    | X_114 = complement(complement(X_114)) ),
    inference(resolve,[$cnf( $equal(X_114,complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))) )],[refute_0_2725,refute_0_2772]) ).

cnf(refute_0_2774,plain,
    X_114 = complement(complement(X_114)),
    inference(resolve,[$cnf( $equal(meet(X_114,top),complement(meet(top,complement(meet(meet(top,X_114),meet(X_114,top)))))) )],[refute_0_2722,refute_0_2773]) ).

cnf(refute_0_2775,plain,
    ( X_114 != complement(complement(X_114))
    | complement(complement(X_114)) = X_114 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X_114)),bind(Y,$fot(complement(complement(X_114))))]]) ).

cnf(refute_0_2776,plain,
    complement(complement(X_114)) = X_114,
    inference(resolve,[$cnf( $equal(X_114,complement(complement(X_114))) )],[refute_0_2774,refute_0_2775]) ).

cnf(refute_0_2777,plain,
    complement(complement(X_88)) = X_88,
    inference(subst,[],[refute_0_2776:[bind(X_114,$fot(X_88))]]) ).

cnf(refute_0_2778,plain,
    join(complement(complement(X_88)),X_52) = join(complement(complement(X_88)),X_52),
    introduced(tautology,[refl,[$fot(join(complement(complement(X_88)),X_52))]]) ).

cnf(refute_0_2779,plain,
    ( complement(complement(X_88)) != X_88
    | join(complement(complement(X_88)),X_52) != join(complement(complement(X_88)),X_52)
    | join(complement(complement(X_88)),X_52) = join(X_88,X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_88)),X_52),join(complement(complement(X_88)),X_52)) ),[1,0],$fot(X_88)]]) ).

cnf(refute_0_2780,plain,
    ( complement(complement(X_88)) != X_88
    | join(complement(complement(X_88)),X_52) = join(X_88,X_52) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(X_88)),X_52),join(complement(complement(X_88)),X_52)) )],[refute_0_2778,refute_0_2779]) ).

cnf(refute_0_2781,plain,
    join(complement(complement(X_88)),X_52) = join(X_88,X_52),
    inference(resolve,[$cnf( $equal(complement(complement(X_88)),X_88) )],[refute_0_2777,refute_0_2780]) ).

cnf(refute_0_2782,plain,
    meet(X_88,join(complement(complement(X_88)),X_52)) = meet(X_88,join(complement(complement(X_88)),X_52)),
    introduced(tautology,[refl,[$fot(meet(X_88,join(complement(complement(X_88)),X_52)))]]) ).

cnf(refute_0_2783,plain,
    ( join(complement(complement(X_88)),X_52) != join(X_88,X_52)
    | meet(X_88,join(complement(complement(X_88)),X_52)) != meet(X_88,join(complement(complement(X_88)),X_52))
    | meet(X_88,join(complement(complement(X_88)),X_52)) = meet(X_88,join(X_88,X_52)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_88,join(complement(complement(X_88)),X_52)),meet(X_88,join(complement(complement(X_88)),X_52))) ),[1,1],$fot(join(X_88,X_52))]]) ).

cnf(refute_0_2784,plain,
    ( join(complement(complement(X_88)),X_52) != join(X_88,X_52)
    | meet(X_88,join(complement(complement(X_88)),X_52)) = meet(X_88,join(X_88,X_52)) ),
    inference(resolve,[$cnf( $equal(meet(X_88,join(complement(complement(X_88)),X_52)),meet(X_88,join(complement(complement(X_88)),X_52))) )],[refute_0_2782,refute_0_2783]) ).

cnf(refute_0_2785,plain,
    meet(X_88,join(complement(complement(X_88)),X_52)) = meet(X_88,join(X_88,X_52)),
    inference(resolve,[$cnf( $equal(join(complement(complement(X_88)),X_52),join(X_88,X_52)) )],[refute_0_2781,refute_0_2784]) ).

cnf(refute_0_2786,plain,
    ( X_88 != meet(X_88,join(complement(complement(X_88)),X_52))
    | meet(X_88,join(complement(complement(X_88)),X_52)) != meet(X_88,join(X_88,X_52))
    | X_88 = meet(X_88,join(X_88,X_52)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,meet(X_88,join(X_88,X_52))) ),[0],$fot(meet(X_88,join(complement(complement(X_88)),X_52)))]]) ).

cnf(refute_0_2787,plain,
    ( X_88 != meet(X_88,join(complement(complement(X_88)),X_52))
    | X_88 = meet(X_88,join(X_88,X_52)) ),
    inference(resolve,[$cnf( $equal(meet(X_88,join(complement(complement(X_88)),X_52)),meet(X_88,join(X_88,X_52))) )],[refute_0_2785,refute_0_2786]) ).

cnf(refute_0_2788,plain,
    X_88 = meet(X_88,join(X_88,X_52)),
    inference(resolve,[$cnf( $equal(X_88,meet(X_88,join(complement(complement(X_88)),X_52))) )],[refute_0_2651,refute_0_2787]) ).

cnf(refute_0_2789,plain,
    composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),
    inference(subst,[],[refute_0_2788:[bind(X_52,$fot(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),bind(X_88,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_2790,plain,
    converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),
    inference(subst,[],[refute_0_133:[bind(X0,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(X1,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).

cnf(refute_0_2791,plain,
    X_88 = join(meet(X_88,complement(X1)),complement(join(complement(X_88),complement(X1)))),
    inference(subst,[],[refute_0_55:[bind(X0,$fot(X_88)),bind(X1,$fot(complement(X1)))]]) ).

cnf(refute_0_2792,plain,
    meet(X_88,X1) = complement(join(complement(X_88),complement(X1))),
    inference(subst,[],[refute_0_41:[bind(X0,$fot(X_88))]]) ).

cnf(refute_0_2793,plain,
    ( meet(X_88,X1) != complement(join(complement(X_88),complement(X1)))
    | complement(join(complement(X_88),complement(X1))) = meet(X_88,X1) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_88,X1))),bind(Y,$fot(complement(join(complement(X_88),complement(X1)))))]]) ).

cnf(refute_0_2794,plain,
    complement(join(complement(X_88),complement(X1))) = meet(X_88,X1),
    inference(resolve,[$cnf( $equal(meet(X_88,X1),complement(join(complement(X_88),complement(X1)))) )],[refute_0_2792,refute_0_2793]) ).

cnf(refute_0_2795,plain,
    ( X_88 != join(meet(X_88,complement(X1)),complement(join(complement(X_88),complement(X1))))
    | complement(join(complement(X_88),complement(X1))) != meet(X_88,X1)
    | X_88 = join(meet(X_88,complement(X1)),meet(X_88,X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_88,join(meet(X_88,complement(X1)),complement(join(complement(X_88),complement(X1))))) ),[1,1],$fot(meet(X_88,X1))]]) ).

cnf(refute_0_2796,plain,
    ( X_88 != join(meet(X_88,complement(X1)),complement(join(complement(X_88),complement(X1))))
    | X_88 = join(meet(X_88,complement(X1)),meet(X_88,X1)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_88),complement(X1))),meet(X_88,X1)) )],[refute_0_2794,refute_0_2795]) ).

cnf(refute_0_2797,plain,
    X_88 = join(meet(X_88,complement(X1)),meet(X_88,X1)),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,complement(X1)),complement(join(complement(X_88),complement(X1))))) )],[refute_0_2791,refute_0_2796]) ).

cnf(refute_0_2798,plain,
    join(meet(X_88,complement(X1)),meet(X_88,X1)) = join(meet(X_88,X1),meet(X_88,complement(X1))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(X_88,X1))),bind(X1,$fot(meet(X_88,complement(X1))))]]) ).

cnf(refute_0_2799,plain,
    ( X_88 != join(meet(X_88,complement(X1)),meet(X_88,X1))
    | join(meet(X_88,complement(X1)),meet(X_88,X1)) != join(meet(X_88,X1),meet(X_88,complement(X1)))
    | X_88 = join(meet(X_88,X1),meet(X_88,complement(X1))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,join(meet(X_88,X1),meet(X_88,complement(X1)))) ),[0],$fot(join(meet(X_88,complement(X1)),meet(X_88,X1)))]]) ).

cnf(refute_0_2800,plain,
    ( X_88 != join(meet(X_88,complement(X1)),meet(X_88,X1))
    | X_88 = join(meet(X_88,X1),meet(X_88,complement(X1))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_88,complement(X1)),meet(X_88,X1)),join(meet(X_88,X1),meet(X_88,complement(X1)))) )],[refute_0_2798,refute_0_2799]) ).

cnf(refute_0_2801,plain,
    X_88 = join(meet(X_88,X1),meet(X_88,complement(X1))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,complement(X1)),meet(X_88,X1))) )],[refute_0_2797,refute_0_2800]) ).

cnf(refute_0_2802,plain,
    X_106 = join(meet(X_106,X_105),meet(X_106,complement(X_105))),
    inference(subst,[],[refute_0_2801:[bind(X1,$fot(X_105)),bind(X_88,$fot(X_106))]]) ).

cnf(refute_0_2803,plain,
    meet(complement(X_105),X_106) = meet(X_106,complement(X_105)),
    inference(subst,[],[refute_0_2314:[bind(X_31,$fot(complement(X_105))),bind(X_32,$fot(X_106))]]) ).

cnf(refute_0_2804,plain,
    ( meet(complement(X_105),X_106) != meet(X_106,complement(X_105))
    | meet(X_106,complement(X_105)) = meet(complement(X_105),X_106) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(X_105),X_106))),bind(Y,$fot(meet(X_106,complement(X_105))))]]) ).

cnf(refute_0_2805,plain,
    meet(X_106,complement(X_105)) = meet(complement(X_105),X_106),
    inference(resolve,[$cnf( $equal(meet(complement(X_105),X_106),meet(X_106,complement(X_105))) )],[refute_0_2803,refute_0_2804]) ).

cnf(refute_0_2806,plain,
    ( X_106 != join(meet(X_106,X_105),meet(X_106,complement(X_105)))
    | meet(X_106,complement(X_105)) != meet(complement(X_105),X_106)
    | X_106 = join(meet(X_106,X_105),meet(complement(X_105),X_106)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_106,join(meet(X_106,X_105),meet(X_106,complement(X_105)))) ),[1,1],$fot(meet(complement(X_105),X_106))]]) ).

cnf(refute_0_2807,plain,
    ( X_106 != join(meet(X_106,X_105),meet(X_106,complement(X_105)))
    | X_106 = join(meet(X_106,X_105),meet(complement(X_105),X_106)) ),
    inference(resolve,[$cnf( $equal(meet(X_106,complement(X_105)),meet(complement(X_105),X_106)) )],[refute_0_2805,refute_0_2806]) ).

cnf(refute_0_2808,plain,
    X_106 = join(meet(X_106,X_105),meet(complement(X_105),X_106)),
    inference(resolve,[$cnf( $equal(X_106,join(meet(X_106,X_105),meet(X_106,complement(X_105)))) )],[refute_0_2802,refute_0_2807]) ).

cnf(refute_0_2809,plain,
    converse(complement(skolemFOFtoCNF_X0)) = join(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))),
    inference(subst,[],[refute_0_2808:[bind(X_105,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))),bind(X_106,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2810,plain,
    converse(composition(complement(skolemFOFtoCNF_X0),top)) = join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),
    inference(subst,[],[refute_0_62:[bind(X_88,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))),bind(X_89,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2811,plain,
    converse(join(X0,join(X_7,converse(X_6)))) = join(converse(X0),converse(join(X_7,converse(X_6)))),
    inference(subst,[],[refute_0_111:[bind(X1,$fot(join(X_7,converse(X_6))))]]) ).

cnf(refute_0_2812,plain,
    ( converse(join(X0,join(X_7,converse(X_6)))) != join(converse(X0),converse(join(X_7,converse(X_6))))
    | converse(join(X_7,converse(X_6))) != join(converse(X_7),X_6)
    | converse(join(X0,join(X_7,converse(X_6)))) = join(converse(X0),join(converse(X_7),X_6)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(X0),converse(join(X_7,converse(X_6))))) ),[1,1],$fot(join(converse(X_7),X_6))]]) ).

cnf(refute_0_2813,plain,
    ( converse(join(X0,join(X_7,converse(X_6)))) != join(converse(X0),converse(join(X_7,converse(X_6))))
    | converse(join(X0,join(X_7,converse(X_6)))) = join(converse(X0),join(converse(X_7),X_6)) ),
    inference(resolve,[$cnf( $equal(converse(join(X_7,converse(X_6))),join(converse(X_7),X_6)) )],[refute_0_388,refute_0_2812]) ).

cnf(refute_0_2814,plain,
    converse(join(X0,join(X_7,converse(X_6)))) = join(converse(X0),join(converse(X_7),X_6)),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(X0),converse(join(X_7,converse(X_6))))) )],[refute_0_2811,refute_0_2813]) ).

cnf(refute_0_2815,plain,
    converse(join(X0,join(X_7,converse(X_6)))) = join(converse(join(X0,X_7)),X_6),
    inference(subst,[],[refute_0_368:[bind(X0,$fot(X_6)),bind(X_50,$fot(X0)),bind(X_51,$fot(X_7))]]) ).

cnf(refute_0_2816,plain,
    ( converse(join(X0,join(X_7,converse(X_6)))) != join(converse(X0),join(converse(X_7),X_6))
    | converse(join(X0,join(X_7,converse(X_6)))) != join(converse(join(X0,X_7)),X_6)
    | join(converse(join(X0,X_7)),X_6) = join(converse(X0),join(converse(X_7),X_6)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(X0),join(converse(X_7),X_6))) ),[0],$fot(join(converse(join(X0,X_7)),X_6))]]) ).

cnf(refute_0_2817,plain,
    ( converse(join(X0,join(X_7,converse(X_6)))) != join(converse(X0),join(converse(X_7),X_6))
    | join(converse(join(X0,X_7)),X_6) = join(converse(X0),join(converse(X_7),X_6)) ),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(join(X0,X_7)),X_6)) )],[refute_0_2815,refute_0_2816]) ).

cnf(refute_0_2818,plain,
    join(converse(join(X0,X_7)),X_6) = join(converse(X0),join(converse(X_7),X_6)),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(X0),join(converse(X_7),X_6))) )],[refute_0_2814,refute_0_2817]) ).

cnf(refute_0_2819,plain,
    join(converse(join(X_155,X_157)),complement(converse(X_157))) = join(converse(X_155),join(converse(X_157),complement(converse(X_157)))),
    inference(subst,[],[refute_0_2818:[bind(X0,$fot(X_155)),bind(X_6,$fot(complement(converse(X_157)))),bind(X_7,$fot(X_157))]]) ).

cnf(refute_0_2820,plain,
    top = join(converse(X_157),complement(converse(X_157))),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(converse(X_157)))]]) ).

cnf(refute_0_2821,plain,
    ( top != join(converse(X_157),complement(converse(X_157)))
    | join(converse(X_157),complement(converse(X_157))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_157),complement(converse(X_157)))))]]) ).

cnf(refute_0_2822,plain,
    join(converse(X_157),complement(converse(X_157))) = top,
    inference(resolve,[$cnf( $equal(top,join(converse(X_157),complement(converse(X_157)))) )],[refute_0_2820,refute_0_2821]) ).

cnf(refute_0_2823,plain,
    ( join(converse(X_157),complement(converse(X_157))) != top
    | join(converse(join(X_155,X_157)),complement(converse(X_157))) != join(converse(X_155),join(converse(X_157),complement(converse(X_157))))
    | join(converse(join(X_155,X_157)),complement(converse(X_157))) = join(converse(X_155),top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_155,X_157)),complement(converse(X_157))),join(converse(X_155),join(converse(X_157),complement(converse(X_157))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2824,plain,
    ( join(converse(join(X_155,X_157)),complement(converse(X_157))) != join(converse(X_155),join(converse(X_157),complement(converse(X_157))))
    | join(converse(join(X_155,X_157)),complement(converse(X_157))) = join(converse(X_155),top) ),
    inference(resolve,[$cnf( $equal(join(converse(X_157),complement(converse(X_157))),top) )],[refute_0_2822,refute_0_2823]) ).

cnf(refute_0_2825,plain,
    join(converse(join(X_155,X_157)),complement(converse(X_157))) = join(converse(X_155),top),
    inference(resolve,[$cnf( $equal(join(converse(join(X_155,X_157)),complement(converse(X_157))),join(converse(X_155),join(converse(X_157),complement(converse(X_157))))) )],[refute_0_2819,refute_0_2824]) ).

cnf(refute_0_2826,plain,
    join(converse(join(X_155,X_157)),complement(converse(X_157))) = join(complement(converse(X_157)),converse(join(X_155,X_157))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(converse(X_157)))),bind(X1,$fot(converse(join(X_155,X_157))))]]) ).

cnf(refute_0_2827,plain,
    ( join(converse(join(X_155,X_157)),complement(converse(X_157))) != join(complement(converse(X_157)),converse(join(X_155,X_157)))
    | join(converse(join(X_155,X_157)),complement(converse(X_157))) != join(converse(X_155),top)
    | join(complement(converse(X_157)),converse(join(X_155,X_157))) = join(converse(X_155),top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_155,X_157)),complement(converse(X_157))),join(converse(X_155),top)) ),[0],$fot(join(complement(converse(X_157)),converse(join(X_155,X_157))))]]) ).

cnf(refute_0_2828,plain,
    ( join(converse(join(X_155,X_157)),complement(converse(X_157))) != join(converse(X_155),top)
    | join(complement(converse(X_157)),converse(join(X_155,X_157))) = join(converse(X_155),top) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X_155,X_157)),complement(converse(X_157))),join(complement(converse(X_157)),converse(join(X_155,X_157)))) )],[refute_0_2826,refute_0_2827]) ).

cnf(refute_0_2829,plain,
    join(converse(X_155),top) = top,
    inference(subst,[],[refute_0_2275:[bind(X_98,$fot(converse(X_155)))]]) ).

cnf(refute_0_2830,plain,
    ( join(complement(converse(X_157)),converse(join(X_155,X_157))) != join(converse(X_155),top)
    | join(converse(X_155),top) != top
    | join(complement(converse(X_157)),converse(join(X_155,X_157))) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(converse(X_157)),converse(join(X_155,X_157))),top) ),[0],$fot(join(converse(X_155),top))]]) ).

cnf(refute_0_2831,plain,
    ( join(complement(converse(X_157)),converse(join(X_155,X_157))) != join(converse(X_155),top)
    | join(complement(converse(X_157)),converse(join(X_155,X_157))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(X_155),top),top) )],[refute_0_2829,refute_0_2830]) ).

cnf(refute_0_2832,plain,
    ( join(converse(join(X_155,X_157)),complement(converse(X_157))) != join(converse(X_155),top)
    | join(complement(converse(X_157)),converse(join(X_155,X_157))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_157)),converse(join(X_155,X_157))),join(converse(X_155),top)) )],[refute_0_2828,refute_0_2831]) ).

cnf(refute_0_2833,plain,
    join(complement(converse(X_157)),converse(join(X_155,X_157))) = top,
    inference(resolve,[$cnf( $equal(join(converse(join(X_155,X_157)),complement(converse(X_157))),join(converse(X_155),top)) )],[refute_0_2825,refute_0_2832]) ).

cnf(refute_0_2834,plain,
    join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))) = top,
    inference(subst,[],[refute_0_2833:[bind(X_155,$fot(complement(skolemFOFtoCNF_X0))),bind(X_157,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_2835,plain,
    join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2836,plain,
    converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),
    inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2837,plain,
    join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))) = complement(top),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(top))]]) ).

cnf(refute_0_2838,plain,
    composition(skolemFOFtoCNF_X0,top) = skolemFOFtoCNF_X0,
    inference(canonicalize,[],[normalize_0_29]) ).

cnf(refute_0_2839,plain,
    ( composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
    | join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
    | join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))),complement(top)) ),[0,1,1,0],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_2840,plain,
    ( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
    | join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_2838,refute_0_2839]) ).

cnf(refute_0_2841,plain,
    join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))),complement(top)) )],[refute_0_2837,refute_0_2840]) ).

cnf(refute_0_2842,plain,
    join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
    introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2843,plain,
    ( complement(top) != zero
    | join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2844,plain,
    ( complement(top) != zero
    | join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2842,refute_0_2843]) ).

cnf(refute_0_2845,plain,
    join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2844]) ).

cnf(refute_0_2846,plain,
    ( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
    | join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) ),[0],$fot(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2847,plain,
    ( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
    | join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2845,refute_0_2846]) ).

cnf(refute_0_2848,plain,
    ( complement(top) != zero
    | join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
    | join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_2849,plain,
    ( join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
    | join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2848]) ).

cnf(refute_0_2850,plain,
    ( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
    | join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_2847,refute_0_2849]) ).

cnf(refute_0_2851,plain,
    join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero,
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_2841,refute_0_2850]) ).

cnf(refute_0_2852,plain,
    join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),
    inference(subst,[],[refute_0_2647:[bind(X_88,$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2853,plain,
    ( join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
    | join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != zero
    | composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),zero) ),[0],$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2854,plain,
    ( join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != zero
    | composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) )],[refute_0_2852,refute_0_2853]) ).

cnf(refute_0_2855,plain,
    composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),zero) )],[refute_0_2851,refute_0_2854]) ).

cnf(refute_0_2856,plain,
    ( composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != zero
    | converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
    | converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) ),[0,0],$fot(zero)]]) ).

cnf(refute_0_2857,plain,
    ( converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
    | converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),zero) )],[refute_0_2855,refute_0_2856]) ).

cnf(refute_0_2858,plain,
    converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2836,refute_0_2857]) ).

cnf(refute_0_2859,plain,
    converse(zero) = join(zero,meet(converse(zero),complement(complement(converse(zero))))),
    inference(subst,[],[refute_0_2424:[bind(X_88,$fot(converse(zero)))]]) ).

cnf(refute_0_2860,plain,
    converse(converse(complement(converse(zero)))) = complement(converse(zero)),
    inference(subst,[],[refute_0_0:[bind(X0,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_2861,plain,
    top = join(meet(top,X_89),complement(join(complement(top),X_89))),
    inference(subst,[],[refute_0_55:[bind(X0,$fot(top)),bind(X1,$fot(X_89))]]) ).

cnf(refute_0_2862,plain,
    ( complement(top) != zero
    | top != join(meet(top,X_89),complement(join(complement(top),X_89)))
    | top = join(meet(top,X_89),complement(join(zero,X_89))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_89),complement(join(complement(top),X_89)))) ),[1,1,0,0],$fot(zero)]]) ).

cnf(refute_0_2863,plain,
    ( top != join(meet(top,X_89),complement(join(complement(top),X_89)))
    | top = join(meet(top,X_89),complement(join(zero,X_89))) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2862]) ).

cnf(refute_0_2864,plain,
    top = join(meet(top,X_89),complement(join(zero,X_89))),
    inference(resolve,[$cnf( $equal(top,join(meet(top,X_89),complement(join(complement(top),X_89)))) )],[refute_0_2861,refute_0_2863]) ).

cnf(refute_0_2865,plain,
    top = join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero)))))),
    inference(subst,[],[refute_0_2864:[bind(X_89,$fot(converse(complement(converse(zero)))))]]) ).

cnf(refute_0_2866,plain,
    ( converse(top) != join(X_8,converse(complement(converse(X_8))))
    | converse(top) != top
    | top = join(X_8,converse(complement(converse(X_8)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_8,converse(complement(converse(X_8))))) ),[0],$fot(top)]]) ).

cnf(refute_0_2867,plain,
    ( converse(top) != join(X_8,converse(complement(converse(X_8))))
    | top = join(X_8,converse(complement(converse(X_8)))) ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1681,refute_0_2866]) ).

cnf(refute_0_2868,plain,
    top = join(X_8,converse(complement(converse(X_8)))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_8,converse(complement(converse(X_8))))) )],[refute_0_122,refute_0_2867]) ).

cnf(refute_0_2869,plain,
    top = join(zero,converse(complement(converse(zero)))),
    inference(subst,[],[refute_0_2868:[bind(X_8,$fot(zero))]]) ).

cnf(refute_0_2870,plain,
    ( top != join(zero,converse(complement(converse(zero))))
    | join(zero,converse(complement(converse(zero)))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).

cnf(refute_0_2871,plain,
    join(zero,converse(complement(converse(zero)))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) )],[refute_0_2869,refute_0_2870]) ).

cnf(refute_0_2872,plain,
    ( join(zero,converse(complement(converse(zero)))) != top
    | top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
    | top = join(meet(top,converse(complement(converse(zero)))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_2873,plain,
    ( top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
    | top = join(meet(top,converse(complement(converse(zero)))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),top) )],[refute_0_2871,refute_0_2872]) ).

cnf(refute_0_2874,plain,
    top = join(meet(top,converse(complement(converse(zero)))),complement(top)),
    inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) )],[refute_0_2865,refute_0_2873]) ).

cnf(refute_0_2875,plain,
    join(complement(top),meet(top,converse(complement(converse(zero))))) = join(complement(top),meet(top,converse(complement(converse(zero))))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(top,converse(complement(converse(zero))))))]]) ).

cnf(refute_0_2876,plain,
    ( complement(top) != zero
    | join(complement(top),meet(top,converse(complement(converse(zero))))) != join(complement(top),meet(top,converse(complement(converse(zero)))))
    | join(complement(top),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,converse(complement(converse(zero))))),join(complement(top),meet(top,converse(complement(converse(zero)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2877,plain,
    ( complement(top) != zero
    | join(complement(top),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(top,converse(complement(converse(zero))))),join(complement(top),meet(top,converse(complement(converse(zero)))))) )],[refute_0_2875,refute_0_2876]) ).

cnf(refute_0_2878,plain,
    join(complement(top),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2877]) ).

cnf(refute_0_2879,plain,
    join(meet(top,converse(complement(converse(zero)))),complement(top)) = join(complement(top),meet(top,converse(complement(converse(zero))))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(top,converse(complement(converse(zero))))))]]) ).

cnf(refute_0_2880,plain,
    ( join(complement(top),meet(top,converse(complement(converse(zero))))) != join(zero,meet(top,converse(complement(converse(zero)))))
    | join(meet(top,converse(complement(converse(zero)))),complement(top)) != join(complement(top),meet(top,converse(complement(converse(zero)))))
    | join(meet(top,converse(complement(converse(zero)))),complement(top)) = join(zero,meet(top,converse(complement(converse(zero))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(top,converse(complement(converse(zero)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,converse(complement(converse(zero))))))),bind(Z,$fot(join(zero,meet(top,converse(complement(converse(zero)))))))]]) ).

cnf(refute_0_2881,plain,
    ( join(complement(top),meet(top,converse(complement(converse(zero))))) != join(zero,meet(top,converse(complement(converse(zero)))))
    | join(meet(top,converse(complement(converse(zero)))),complement(top)) = join(zero,meet(top,converse(complement(converse(zero))))) ),
    inference(resolve,[$cnf( $equal(join(meet(top,converse(complement(converse(zero)))),complement(top)),join(complement(top),meet(top,converse(complement(converse(zero)))))) )],[refute_0_2879,refute_0_2880]) ).

cnf(refute_0_2882,plain,
    join(meet(top,converse(complement(converse(zero)))),complement(top)) = join(zero,meet(top,converse(complement(converse(zero))))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(top,converse(complement(converse(zero))))),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_2878,refute_0_2881]) ).

cnf(refute_0_2883,plain,
    ( join(meet(top,converse(complement(converse(zero)))),complement(top)) != join(zero,meet(top,converse(complement(converse(zero)))))
    | top != join(meet(top,converse(complement(converse(zero)))),complement(top))
    | top = join(zero,meet(top,converse(complement(converse(zero))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(top))) ),[1],$fot(join(zero,meet(top,converse(complement(converse(zero))))))]]) ).

cnf(refute_0_2884,plain,
    ( top != join(meet(top,converse(complement(converse(zero)))),complement(top))
    | top = join(zero,meet(top,converse(complement(converse(zero))))) ),
    inference(resolve,[$cnf( $equal(join(meet(top,converse(complement(converse(zero)))),complement(top)),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_2882,refute_0_2883]) ).

cnf(refute_0_2885,plain,
    top = join(zero,meet(top,converse(complement(converse(zero))))),
    inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(top))) )],[refute_0_2874,refute_0_2884]) ).

cnf(refute_0_2886,plain,
    join(zero,meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))),
    inference(subst,[],[refute_0_2404:[bind(X_88,$fot(converse(complement(converse(zero)))))]]) ).

cnf(refute_0_2887,plain,
    ( join(zero,meet(top,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
    | top != join(zero,meet(top,converse(complement(converse(zero)))))
    | top = converse(complement(converse(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,converse(complement(converse(zero)))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).

cnf(refute_0_2888,plain,
    ( top != join(zero,meet(top,converse(complement(converse(zero)))))
    | top = converse(complement(converse(zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),converse(complement(converse(zero)))) )],[refute_0_2886,refute_0_2887]) ).

cnf(refute_0_2889,plain,
    top = converse(complement(converse(zero))),
    inference(resolve,[$cnf( $equal(top,join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_2885,refute_0_2888]) ).

cnf(refute_0_2890,plain,
    ( top != converse(complement(converse(zero)))
    | converse(complement(converse(zero))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).

cnf(refute_0_2891,plain,
    converse(complement(converse(zero))) = top,
    inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_2889,refute_0_2890]) ).

cnf(refute_0_2892,plain,
    ( converse(complement(converse(zero))) != top
    | converse(converse(complement(converse(zero)))) != complement(converse(zero))
    | converse(top) = complement(converse(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(top)]]) ).

cnf(refute_0_2893,plain,
    ( converse(converse(complement(converse(zero)))) != complement(converse(zero))
    | converse(top) = complement(converse(zero)) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_2891,refute_0_2892]) ).

cnf(refute_0_2894,plain,
    converse(top) = complement(converse(zero)),
    inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_2860,refute_0_2893]) ).

cnf(refute_0_2895,plain,
    ( converse(top) != complement(converse(zero))
    | converse(top) != top
    | top = complement(converse(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(converse(zero))) ),[0],$fot(top)]]) ).

cnf(refute_0_2896,plain,
    ( converse(top) != complement(converse(zero))
    | top = complement(converse(zero)) ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1681,refute_0_2895]) ).

cnf(refute_0_2897,plain,
    top = complement(converse(zero)),
    inference(resolve,[$cnf( $equal(converse(top),complement(converse(zero))) )],[refute_0_2894,refute_0_2896]) ).

cnf(refute_0_2898,plain,
    ( top != complement(converse(zero))
    | complement(converse(zero)) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_2899,plain,
    complement(converse(zero)) = top,
    inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_2897,refute_0_2898]) ).

cnf(refute_0_2900,plain,
    ( complement(converse(zero)) != top
    | converse(zero) != join(zero,meet(converse(zero),complement(complement(converse(zero)))))
    | converse(zero) = join(zero,meet(converse(zero),complement(top))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),complement(complement(converse(zero)))))) ),[1,1,1,0],$fot(top)]]) ).

cnf(refute_0_2901,plain,
    ( converse(zero) != join(zero,meet(converse(zero),complement(complement(converse(zero)))))
    | converse(zero) = join(zero,meet(converse(zero),complement(top))) ),
    inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2899,refute_0_2900]) ).

cnf(refute_0_2902,plain,
    converse(zero) = join(zero,meet(converse(zero),complement(top))),
    inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),complement(complement(converse(zero)))))) )],[refute_0_2859,refute_0_2901]) ).

cnf(refute_0_2903,plain,
    meet(zero,X1) = complement(join(complement(zero),complement(X1))),
    inference(subst,[],[refute_0_41:[bind(X0,$fot(zero))]]) ).

cnf(refute_0_2904,plain,
    top = join(meet(top,complement(zero)),complement(join(zero,complement(zero)))),
    inference(subst,[],[refute_0_2864:[bind(X_89,$fot(complement(zero)))]]) ).

cnf(refute_0_2905,plain,
    ( join(zero,complement(zero)) != top
    | top != join(meet(top,complement(zero)),complement(join(zero,complement(zero))))
    | top = join(meet(top,complement(zero)),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(join(zero,complement(zero))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_2906,plain,
    ( top != join(meet(top,complement(zero)),complement(join(zero,complement(zero))))
    | top = join(meet(top,complement(zero)),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_1268,refute_0_2905]) ).

cnf(refute_0_2907,plain,
    top = join(meet(top,complement(zero)),complement(top)),
    inference(resolve,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(join(zero,complement(zero))))) )],[refute_0_2904,refute_0_2906]) ).

cnf(refute_0_2908,plain,
    join(complement(top),meet(top,complement(zero))) = join(complement(top),meet(top,complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(top,complement(zero))))]]) ).

cnf(refute_0_2909,plain,
    ( complement(top) != zero
    | join(complement(top),meet(top,complement(zero))) != join(complement(top),meet(top,complement(zero)))
    | join(complement(top),meet(top,complement(zero))) = join(zero,meet(top,complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,complement(zero))),join(complement(top),meet(top,complement(zero)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2910,plain,
    ( complement(top) != zero
    | join(complement(top),meet(top,complement(zero))) = join(zero,meet(top,complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(top,complement(zero))),join(complement(top),meet(top,complement(zero)))) )],[refute_0_2908,refute_0_2909]) ).

cnf(refute_0_2911,plain,
    join(complement(top),meet(top,complement(zero))) = join(zero,meet(top,complement(zero))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2910]) ).

cnf(refute_0_2912,plain,
    join(meet(top,complement(zero)),complement(top)) = join(complement(top),meet(top,complement(zero))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(top,complement(zero))))]]) ).

cnf(refute_0_2913,plain,
    ( join(complement(top),meet(top,complement(zero))) != join(zero,meet(top,complement(zero)))
    | join(meet(top,complement(zero)),complement(top)) != join(complement(top),meet(top,complement(zero)))
    | join(meet(top,complement(zero)),complement(top)) = join(zero,meet(top,complement(zero))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(top,complement(zero)),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,complement(zero))))),bind(Z,$fot(join(zero,meet(top,complement(zero)))))]]) ).

cnf(refute_0_2914,plain,
    ( join(complement(top),meet(top,complement(zero))) != join(zero,meet(top,complement(zero)))
    | join(meet(top,complement(zero)),complement(top)) = join(zero,meet(top,complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(meet(top,complement(zero)),complement(top)),join(complement(top),meet(top,complement(zero)))) )],[refute_0_2912,refute_0_2913]) ).

cnf(refute_0_2915,plain,
    join(meet(top,complement(zero)),complement(top)) = join(zero,meet(top,complement(zero))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(top,complement(zero))),join(zero,meet(top,complement(zero)))) )],[refute_0_2911,refute_0_2914]) ).

cnf(refute_0_2916,plain,
    ( join(meet(top,complement(zero)),complement(top)) != join(zero,meet(top,complement(zero)))
    | top != join(meet(top,complement(zero)),complement(top))
    | top = join(zero,meet(top,complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(top))) ),[1],$fot(join(zero,meet(top,complement(zero))))]]) ).

cnf(refute_0_2917,plain,
    ( top != join(meet(top,complement(zero)),complement(top))
    | top = join(zero,meet(top,complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(meet(top,complement(zero)),complement(top)),join(zero,meet(top,complement(zero)))) )],[refute_0_2915,refute_0_2916]) ).

cnf(refute_0_2918,plain,
    top = join(zero,meet(top,complement(zero))),
    inference(resolve,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(top))) )],[refute_0_2907,refute_0_2917]) ).

cnf(refute_0_2919,plain,
    join(zero,meet(top,complement(zero))) = complement(zero),
    inference(subst,[],[refute_0_2404:[bind(X_88,$fot(complement(zero)))]]) ).

cnf(refute_0_2920,plain,
    ( join(zero,meet(top,complement(zero))) != complement(zero)
    | top != join(zero,meet(top,complement(zero)))
    | top = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) ),[1],$fot(complement(zero))]]) ).

cnf(refute_0_2921,plain,
    ( top != join(zero,meet(top,complement(zero)))
    | top = complement(zero) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),complement(zero)) )],[refute_0_2919,refute_0_2920]) ).

cnf(refute_0_2922,plain,
    top = complement(zero),
    inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_2918,refute_0_2921]) ).

cnf(refute_0_2923,plain,
    ( top != complement(zero)
    | complement(zero) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).

cnf(refute_0_2924,plain,
    complement(zero) = top,
    inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_0_2922,refute_0_2923]) ).

cnf(refute_0_2925,plain,
    ( complement(zero) != top
    | meet(zero,X1) != complement(join(complement(zero),complement(X1)))
    | meet(zero,X1) = complement(join(top,complement(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) ),[1,0,0],$fot(top)]]) ).

cnf(refute_0_2926,plain,
    ( meet(zero,X1) != complement(join(complement(zero),complement(X1)))
    | meet(zero,X1) = complement(join(top,complement(X1))) ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_2924,refute_0_2925]) ).

cnf(refute_0_2927,plain,
    meet(zero,X1) = complement(join(top,complement(X1))),
    inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) )],[refute_0_2903,refute_0_2926]) ).

cnf(refute_0_2928,plain,
    join(top,complement(X1)) = top,
    inference(subst,[],[refute_0_2281:[bind(X_50,$fot(complement(X1)))]]) ).

cnf(refute_0_2929,plain,
    complement(join(top,complement(X1))) = complement(join(top,complement(X1))),
    introduced(tautology,[refl,[$fot(complement(join(top,complement(X1))))]]) ).

cnf(refute_0_2930,plain,
    ( complement(join(top,complement(X1))) != complement(join(top,complement(X1)))
    | join(top,complement(X1)) != top
    | complement(join(top,complement(X1))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2931,plain,
    ( join(top,complement(X1)) != top
    | complement(join(top,complement(X1))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) )],[refute_0_2929,refute_0_2930]) ).

cnf(refute_0_2932,plain,
    complement(join(top,complement(X1))) = complement(top),
    inference(resolve,[$cnf( $equal(join(top,complement(X1)),top) )],[refute_0_2928,refute_0_2931]) ).

cnf(refute_0_2933,plain,
    ( complement(join(top,complement(X1))) != complement(top)
    | complement(top) != zero
    | complement(join(top,complement(X1))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(top,complement(X1))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2934,plain,
    ( complement(top) != zero
    | complement(join(top,complement(X1))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(top)) )],[refute_0_2932,refute_0_2933]) ).

cnf(refute_0_2935,plain,
    complement(join(top,complement(X1))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2934]) ).

cnf(refute_0_2936,plain,
    ( complement(join(top,complement(X1))) != zero
    | meet(zero,X1) != complement(join(top,complement(X1)))
    | meet(zero,X1) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) ),[1],$fot(zero)]]) ).

cnf(refute_0_2937,plain,
    ( meet(zero,X1) != complement(join(top,complement(X1)))
    | meet(zero,X1) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),zero) )],[refute_0_2935,refute_0_2936]) ).

cnf(refute_0_2938,plain,
    meet(zero,X1) = zero,
    inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) )],[refute_0_2927,refute_0_2937]) ).

cnf(refute_0_2939,plain,
    meet(zero,converse(zero)) = zero,
    inference(subst,[],[refute_0_2938:[bind(X1,$fot(converse(zero)))]]) ).

cnf(refute_0_2940,plain,
    meet(complement(top),converse(zero)) = meet(complement(top),converse(zero)),
    introduced(tautology,[refl,[$fot(meet(complement(top),converse(zero)))]]) ).

cnf(refute_0_2941,plain,
    ( complement(top) != zero
    | meet(complement(top),converse(zero)) != meet(complement(top),converse(zero))
    | meet(complement(top),converse(zero)) = meet(zero,converse(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(top),converse(zero)),meet(complement(top),converse(zero))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2942,plain,
    ( complement(top) != zero
    | meet(complement(top),converse(zero)) = meet(zero,converse(zero)) ),
    inference(resolve,[$cnf( $equal(meet(complement(top),converse(zero)),meet(complement(top),converse(zero))) )],[refute_0_2940,refute_0_2941]) ).

cnf(refute_0_2943,plain,
    meet(complement(top),converse(zero)) = meet(zero,converse(zero)),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_2942]) ).

cnf(refute_0_2944,plain,
    ( meet(complement(top),converse(zero)) != meet(zero,converse(zero))
    | meet(zero,converse(zero)) != zero
    | meet(complement(top),converse(zero)) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(complement(top),converse(zero)))),bind(Y,$fot(meet(zero,converse(zero)))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2945,plain,
    ( meet(zero,converse(zero)) != zero
    | meet(complement(top),converse(zero)) = zero ),
    inference(resolve,[$cnf( $equal(meet(complement(top),converse(zero)),meet(zero,converse(zero))) )],[refute_0_2943,refute_0_2944]) ).

cnf(refute_0_2946,plain,
    meet(complement(top),converse(zero)) = zero,
    inference(resolve,[$cnf( $equal(meet(zero,converse(zero)),zero) )],[refute_0_2939,refute_0_2945]) ).

cnf(refute_0_2947,plain,
    meet(converse(zero),complement(top)) = meet(complement(top),converse(zero)),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(complement(top))),bind(X_32,$fot(converse(zero)))]]) ).

cnf(refute_0_2948,plain,
    ( meet(complement(top),converse(zero)) != zero
    | meet(converse(zero),complement(top)) != meet(complement(top),converse(zero))
    | meet(converse(zero),complement(top)) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(converse(zero),complement(top)))),bind(Y,$fot(meet(complement(top),converse(zero)))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2949,plain,
    ( meet(complement(top),converse(zero)) != zero
    | meet(converse(zero),complement(top)) = zero ),
    inference(resolve,[$cnf( $equal(meet(converse(zero),complement(top)),meet(complement(top),converse(zero))) )],[refute_0_2947,refute_0_2948]) ).

cnf(refute_0_2950,plain,
    meet(converse(zero),complement(top)) = zero,
    inference(resolve,[$cnf( $equal(meet(complement(top),converse(zero)),zero) )],[refute_0_2946,refute_0_2949]) ).

cnf(refute_0_2951,plain,
    join(zero,meet(converse(zero),complement(top))) = join(zero,meet(converse(zero),complement(top))),
    introduced(tautology,[refl,[$fot(join(zero,meet(converse(zero),complement(top))))]]) ).

cnf(refute_0_2952,plain,
    ( join(zero,meet(converse(zero),complement(top))) != join(zero,meet(converse(zero),complement(top)))
    | meet(converse(zero),complement(top)) != zero
    | join(zero,meet(converse(zero),complement(top))) = join(zero,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),join(zero,meet(converse(zero),complement(top)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2953,plain,
    ( meet(converse(zero),complement(top)) != zero
    | join(zero,meet(converse(zero),complement(top))) = join(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),join(zero,meet(converse(zero),complement(top)))) )],[refute_0_2951,refute_0_2952]) ).

cnf(refute_0_2954,plain,
    join(zero,meet(converse(zero),complement(top))) = join(zero,zero),
    inference(resolve,[$cnf( $equal(meet(converse(zero),complement(top)),zero) )],[refute_0_2950,refute_0_2953]) ).

cnf(refute_0_2955,plain,
    ( join(zero,meet(converse(zero),complement(top))) != join(zero,zero)
    | join(zero,zero) != zero
    | join(zero,meet(converse(zero),complement(top))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,meet(converse(zero),complement(top))))),bind(Y,$fot(join(zero,zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2956,plain,
    ( join(zero,zero) != zero
    | join(zero,meet(converse(zero),complement(top))) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),join(zero,zero)) )],[refute_0_2954,refute_0_2955]) ).

cnf(refute_0_2957,plain,
    join(zero,meet(converse(zero),complement(top))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_1547,refute_0_2956]) ).

cnf(refute_0_2958,plain,
    ( converse(zero) != join(zero,meet(converse(zero),complement(top)))
    | join(zero,meet(converse(zero),complement(top))) != zero
    | converse(zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),zero) ),[0],$fot(join(zero,meet(converse(zero),complement(top))))]]) ).

cnf(refute_0_2959,plain,
    ( converse(zero) != join(zero,meet(converse(zero),complement(top)))
    | converse(zero) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),zero) )],[refute_0_2957,refute_0_2958]) ).

cnf(refute_0_2960,plain,
    converse(zero) = zero,
    inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),complement(top)))) )],[refute_0_2902,refute_0_2959]) ).

cnf(refute_0_2961,plain,
    ( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
    | converse(zero) != zero
    | zero = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(zero)]]) ).

cnf(refute_0_2962,plain,
    ( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
    | zero = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2960,refute_0_2961]) ).

cnf(refute_0_2963,plain,
    converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
    inference(subst,[],[refute_0_308:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_16,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2964,plain,
    composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
    inference(subst,[],[refute_0_16:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2965,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) != converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
    | composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2966,plain,
    ( converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
    | composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2964,refute_0_2965]) ).

cnf(refute_0_2967,plain,
    composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_2963,refute_0_2966]) ).

cnf(refute_0_2968,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
    | zero != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
    | zero = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) ),[1],$fot(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2969,plain,
    ( zero != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
    | zero = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_2967,refute_0_2968]) ).

cnf(refute_0_2970,plain,
    ( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
    | zero = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(zero,composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2962,refute_0_2969]) ).

cnf(refute_0_2971,plain,
    zero = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2858,refute_0_2970]) ).

cnf(refute_0_2972,plain,
    ( zero != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
    | composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = zero ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2973,plain,
    composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = zero,
    inference(resolve,[$cnf( $equal(zero,composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_2971,refute_0_2972]) ).

cnf(refute_0_2974,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != zero
    | join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
    | join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) ),[0,1,1,0],$fot(zero)]]) ).

cnf(refute_0_2975,plain,
    ( join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
    | join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),zero) )],[refute_0_2973,refute_0_2974]) ).

cnf(refute_0_2976,plain,
    join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2835,refute_0_2975]) ).

cnf(refute_0_2977,plain,
    composition(complement(skolemFOFtoCNF_X0),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),complement(zero)),
    introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),complement(zero)))]]) ).

cnf(refute_0_2978,plain,
    ( complement(zero) != top
    | composition(complement(skolemFOFtoCNF_X0),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),complement(zero))
    | composition(complement(skolemFOFtoCNF_X0),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(zero)),composition(complement(skolemFOFtoCNF_X0),complement(zero))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2979,plain,
    ( complement(zero) != top
    | composition(complement(skolemFOFtoCNF_X0),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top) ),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(zero)),composition(complement(skolemFOFtoCNF_X0),complement(zero))) )],[refute_0_2977,refute_0_2978]) ).

cnf(refute_0_2980,plain,
    composition(complement(skolemFOFtoCNF_X0),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_2924,refute_0_2979]) ).

cnf(refute_0_2981,plain,
    converse(converse(complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
    inference(subst,[],[refute_0_0:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2982,plain,
    composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)),
    introduced(tautology,[refl,[$fot(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)))]]) ).

cnf(refute_0_2983,plain,
    ( composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))
    | converse(converse(complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
    | composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),complement(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2984,plain,
    ( converse(converse(complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
    | composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),complement(zero)) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) )],[refute_0_2982,refute_0_2983]) ).

cnf(refute_0_2985,plain,
    composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),complement(zero)),
    inference(resolve,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2981,refute_0_2984]) ).

cnf(refute_0_2986,plain,
    ( composition(complement(skolemFOFtoCNF_X0),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),top)
    | composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),complement(zero))
    | composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),complement(zero)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_2987,plain,
    ( composition(complement(skolemFOFtoCNF_X0),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),top)
    | composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)),composition(complement(skolemFOFtoCNF_X0),complement(zero))) )],[refute_0_2985,refute_0_2986]) ).

cnf(refute_0_2988,plain,
    composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(zero)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_2980,refute_0_2987]) ).

cnf(refute_0_2989,plain,
    join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))))]]) ).

cnf(refute_0_2990,plain,
    ( composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),top)
    | join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) != join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)))
    | join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).

cnf(refute_0_2991,plain,
    ( composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),top)
    | join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_2989,refute_0_2990]) ).

cnf(refute_0_2992,plain,
    join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),
    inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_2988,refute_0_2991]) ).

cnf(refute_0_2993,plain,
    ( join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(skolemFOFtoCNF_X0)
    | join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) != join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
    | join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = complement(skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),complement(skolemFOFtoCNF_X0)) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_2994,plain,
    ( join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(skolemFOFtoCNF_X0)
    | join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = complement(skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_2992,refute_0_2993]) ).

cnf(refute_0_2995,plain,
    join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = complement(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2976,refute_0_2994]) ).

cnf(refute_0_2996,plain,
    ( join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))) != top
    | join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) != complement(skolemFOFtoCNF_X0)
    | join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))),top) ),[0,1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2997,plain,
    ( join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))) != top
    | join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) )],[refute_0_2995,refute_0_2996]) ).

cnf(refute_0_2998,plain,
    join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))) = top,
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))),top) )],[refute_0_2834,refute_0_2997]) ).

cnf(refute_0_2999,plain,
    join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).

cnf(refute_0_3000,plain,
    ( join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))
    | join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))) != top
    | join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))),top) ),[0],$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).

cnf(refute_0_3001,plain,
    ( join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))) != top
    | join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_2999,refute_0_3000]) ).

cnf(refute_0_3002,plain,
    join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = top,
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))),top) )],[refute_0_2998,refute_0_3001]) ).

cnf(refute_0_3003,plain,
    ( converse(composition(complement(skolemFOFtoCNF_X0),top)) != join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))
    | join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != top
    | converse(composition(complement(skolemFOFtoCNF_X0),top)) = join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_3004,plain,
    ( converse(composition(complement(skolemFOFtoCNF_X0),top)) != join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))
    | converse(composition(complement(skolemFOFtoCNF_X0),top)) = join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),top) )],[refute_0_3002,refute_0_3003]) ).

cnf(refute_0_3005,plain,
    converse(composition(complement(skolemFOFtoCNF_X0),top)) = join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)),
    inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_2810,refute_0_3004]) ).

cnf(refute_0_3006,plain,
    join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),
    inference(subst,[],[refute_0_2647:[bind(X_88,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).

cnf(refute_0_3007,plain,
    meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_32,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).

cnf(refute_0_3008,plain,
    join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),
    introduced(tautology,[refl,[$fot(join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_3009,plain,
    ( join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))))
    | meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
    | join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).

cnf(refute_0_3010,plain,
    ( meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
    | join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3008,refute_0_3009]) ).

cnf(refute_0_3011,plain,
    join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))),
    inference(resolve,[$cnf( $equal(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3007,refute_0_3010]) ).

cnf(refute_0_3012,plain,
    join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_3013,plain,
    ( complement(top) != zero
    | join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) != join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))))
    | join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_3014,plain,
    ( complement(top) != zero
    | join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3012,refute_0_3013]) ).

cnf(refute_0_3015,plain,
    join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_3014]) ).

cnf(refute_0_3016,plain,
    ( join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))))
    | join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))))
    | join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).

cnf(refute_0_3017,plain,
    ( join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))))
    | join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3015,refute_0_3016]) ).

cnf(refute_0_3018,plain,
    join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3011,refute_0_3017]) ).

cnf(refute_0_3019,plain,
    ( join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))))
    | join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
    | join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).

cnf(refute_0_3020,plain,
    ( join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
    | join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3018,refute_0_3019]) ).

cnf(refute_0_3021,plain,
    join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))),meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3006,refute_0_3020]) ).

cnf(refute_0_3022,plain,
    join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)) = join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_3023,plain,
    ( join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
    | join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)) != join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))))
    | join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).

cnf(refute_0_3024,plain,
    ( join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
    | join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)),join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3022,refute_0_3023]) ).

cnf(refute_0_3025,plain,
    join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0)))),meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3021,refute_0_3024]) ).

cnf(refute_0_3026,plain,
    ( converse(composition(complement(skolemFOFtoCNF_X0),top)) != join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top))
    | join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
    | converse(composition(complement(skolemFOFtoCNF_X0),top)) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),[0],$fot(join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)))]]) ).

cnf(refute_0_3027,plain,
    ( converse(composition(complement(skolemFOFtoCNF_X0),top)) != join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top))
    | converse(composition(complement(skolemFOFtoCNF_X0),top)) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top)),meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3025,refute_0_3026]) ).

cnf(refute_0_3028,plain,
    converse(composition(complement(skolemFOFtoCNF_X0),top)) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),
    inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),join(meet(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(skolemFOFtoCNF_X0))),complement(top))) )],[refute_0_3005,refute_0_3027]) ).

cnf(refute_0_3029,plain,
    ( converse(composition(complement(skolemFOFtoCNF_X0),top)) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
    | meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).

cnf(refute_0_3030,plain,
    meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
    inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_3028,refute_0_3029]) ).

cnf(refute_0_3031,plain,
    ( converse(complement(skolemFOFtoCNF_X0)) != join(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))))
    | meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
    | converse(complement(skolemFOFtoCNF_X0)) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_3032,plain,
    ( converse(complement(skolemFOFtoCNF_X0)) != join(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))))
    | converse(complement(skolemFOFtoCNF_X0)) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))) ),
    inference(resolve,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3030,refute_0_3031]) ).

cnf(refute_0_3033,plain,
    converse(complement(skolemFOFtoCNF_X0)) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))),
    inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(meet(converse(complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_2809,refute_0_3032]) ).

cnf(refute_0_3034,plain,
    meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_32,$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).

cnf(refute_0_3035,plain,
    join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))),
    introduced(tautology,[refl,[$fot(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_3036,plain,
    ( join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))))
    | meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))
    | join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).

cnf(refute_0_3037,plain,
    ( meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))
    | join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),
    inference(resolve,[$cnf( $equal(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3035,refute_0_3036]) ).

cnf(refute_0_3038,plain,
    join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),
    inference(resolve,[$cnf( $equal(meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_3034,refute_0_3037]) ).

cnf(refute_0_3039,plain,
    ( converse(complement(skolemFOFtoCNF_X0)) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))))
    | join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
    | converse(complement(skolemFOFtoCNF_X0)) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(skolemFOFtoCNF_X0)),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[0],$fot(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_3040,plain,
    ( converse(complement(skolemFOFtoCNF_X0)) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))))
    | converse(complement(skolemFOFtoCNF_X0)) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),
    inference(resolve,[$cnf( $equal(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0)))),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_3038,refute_0_3039]) ).

cnf(refute_0_3041,plain,
    converse(complement(skolemFOFtoCNF_X0)) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),
    inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3033,refute_0_3040]) ).

cnf(refute_0_3042,plain,
    ( converse(complement(skolemFOFtoCNF_X0)) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
    | join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = converse(complement(skolemFOFtoCNF_X0)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).

cnf(refute_0_3043,plain,
    join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = converse(complement(skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_3041,refute_0_3042]) ).

cnf(refute_0_3044,plain,
    ( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))
    | join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != converse(complement(skolemFOFtoCNF_X0))
    | converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(converse(complement(skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) ),[1,0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3045,plain,
    ( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))
    | converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(converse(complement(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_3043,refute_0_3044]) ).

cnf(refute_0_3046,plain,
    converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(converse(complement(skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_2790,refute_0_3045]) ).

cnf(refute_0_3047,plain,
    converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) = join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),
    inference(subst,[],[refute_0_115:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(X_5,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).

cnf(refute_0_3048,plain,
    ( converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) != join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))
    | converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))
    | converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))),bind(Z,$fot(join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))))]]) ).

cnf(refute_0_3049,plain,
    ( converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) != join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))
    | converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),
    inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_2790,refute_0_3048]) ).

cnf(refute_0_3050,plain,
    converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),
    inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_3047,refute_0_3049]) ).

cnf(refute_0_3051,plain,
    ( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(converse(complement(skolemFOFtoCNF_X0)))
    | converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))
    | join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) = converse(converse(complement(skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(converse(complement(skolemFOFtoCNF_X0)))) ),[0],$fot(join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))]]) ).

cnf(refute_0_3052,plain,
    ( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(converse(complement(skolemFOFtoCNF_X0)))
    | join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) = converse(converse(complement(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))),join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))) )],[refute_0_3050,refute_0_3051]) ).

cnf(refute_0_3053,plain,
    ( converse(converse(complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
    | join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) != converse(converse(complement(skolemFOFtoCNF_X0)))
    | join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) = complement(skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),converse(converse(complement(skolemFOFtoCNF_X0)))) ),[1],$fot(complement(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3054,plain,
    ( join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) != converse(converse(complement(skolemFOFtoCNF_X0)))
    | join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) = complement(skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2981,refute_0_3053]) ).

cnf(refute_0_3055,plain,
    ( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(converse(complement(skolemFOFtoCNF_X0)))
    | join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) = complement(skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),converse(converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_3052,refute_0_3054]) ).

cnf(refute_0_3056,plain,
    join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) = complement(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_3046,refute_0_3055]) ).

cnf(refute_0_3057,plain,
    ( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))
    | join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) != complement(skolemFOFtoCNF_X0)
    | composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(composition(complement(skolemFOFtoCNF_X0),top),join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3058,plain,
    ( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))
    | composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_3056,refute_0_3057]) ).

cnf(refute_0_3059,plain,
    composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(composition(complement(skolemFOFtoCNF_X0),top),join(composition(complement(skolemFOFtoCNF_X0),top),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))))) )],[refute_0_2789,refute_0_3058]) ).

cnf(refute_0_3060,plain,
    meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(complement(skolemFOFtoCNF_X0))),bind(X_32,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_3061,plain,
    ( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0))
    | meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
    | composition(complement(skolemFOFtoCNF_X0),top) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) ),[0],$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3062,plain,
    ( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0))
    | composition(complement(skolemFOFtoCNF_X0),top) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
    inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3060,refute_0_3061]) ).

cnf(refute_0_3063,plain,
    composition(complement(skolemFOFtoCNF_X0),top) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0))) )],[refute_0_3059,refute_0_3062]) ).

cnf(refute_0_3064,plain,
    ( composition(complement(skolemFOFtoCNF_X0),top) != meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
    | meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))))]]) ).

cnf(refute_0_3065,plain,
    meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3063,refute_0_3064]) ).

cnf(refute_0_3066,plain,
    ( complement(skolemFOFtoCNF_X0) != join(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))
    | meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
    | complement(skolemFOFtoCNF_X0) = join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).

cnf(refute_0_3067,plain,
    ( complement(skolemFOFtoCNF_X0) != join(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))
    | complement(skolemFOFtoCNF_X0) = join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3065,refute_0_3066]) ).

cnf(refute_0_3068,plain,
    complement(skolemFOFtoCNF_X0) = join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))),
    inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_63,refute_0_3067]) ).

cnf(refute_0_3069,plain,
    X_88 = join(meet(X_88,meet(X_88,top)),complement(join(meet(X_88,top),complement(X_88)))),
    inference(subst,[],[refute_0_62:[bind(X_89,$fot(meet(X_88,top)))]]) ).

cnf(refute_0_3070,plain,
    meet(X_88,top) = meet(X_88,meet(X_88,top)),
    inference(subst,[],[refute_0_2505:[bind(X_67,$fot(X_88))]]) ).

cnf(refute_0_3071,plain,
    ( meet(X_88,top) != meet(X_88,meet(X_88,top))
    | meet(X_88,meet(X_88,top)) = meet(X_88,top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_88,top))),bind(Y,$fot(meet(X_88,meet(X_88,top))))]]) ).

cnf(refute_0_3072,plain,
    meet(X_88,meet(X_88,top)) = meet(X_88,top),
    inference(resolve,[$cnf( $equal(meet(X_88,top),meet(X_88,meet(X_88,top))) )],[refute_0_3070,refute_0_3071]) ).

cnf(refute_0_3073,plain,
    ( X_88 != join(meet(X_88,meet(X_88,top)),complement(join(meet(X_88,top),complement(X_88))))
    | meet(X_88,meet(X_88,top)) != meet(X_88,top)
    | X_88 = join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_88,join(meet(X_88,meet(X_88,top)),complement(join(meet(X_88,top),complement(X_88))))) ),[1,0],$fot(meet(X_88,top))]]) ).

cnf(refute_0_3074,plain,
    ( X_88 != join(meet(X_88,meet(X_88,top)),complement(join(meet(X_88,top),complement(X_88))))
    | X_88 = join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) ),
    inference(resolve,[$cnf( $equal(meet(X_88,meet(X_88,top)),meet(X_88,top)) )],[refute_0_3072,refute_0_3073]) ).

cnf(refute_0_3075,plain,
    X_88 = join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,meet(X_88,top)),complement(join(meet(X_88,top),complement(X_88))))) )],[refute_0_3069,refute_0_3074]) ).

cnf(refute_0_3076,plain,
    meet(X_88,top) = X_88,
    inference(subst,[],[refute_0_2624:[bind(X_89,$fot(X_88))]]) ).

cnf(refute_0_3077,plain,
    complement(meet(X_88,top)) = complement(meet(X_88,top)),
    introduced(tautology,[refl,[$fot(complement(meet(X_88,top)))]]) ).

cnf(refute_0_3078,plain,
    ( complement(meet(X_88,top)) != complement(meet(X_88,top))
    | meet(X_88,top) != X_88
    | complement(meet(X_88,top)) = complement(X_88) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_88,top)),complement(meet(X_88,top))) ),[1,0],$fot(X_88)]]) ).

cnf(refute_0_3079,plain,
    ( meet(X_88,top) != X_88
    | complement(meet(X_88,top)) = complement(X_88) ),
    inference(resolve,[$cnf( $equal(complement(meet(X_88,top)),complement(meet(X_88,top))) )],[refute_0_3077,refute_0_3078]) ).

cnf(refute_0_3080,plain,
    complement(meet(X_88,top)) = complement(X_88),
    inference(resolve,[$cnf( $equal(meet(X_88,top),X_88) )],[refute_0_3076,refute_0_3079]) ).

cnf(refute_0_3081,plain,
    meet(X_88,complement(meet(X_88,top))) = meet(X_88,complement(meet(X_88,top))),
    introduced(tautology,[refl,[$fot(meet(X_88,complement(meet(X_88,top))))]]) ).

cnf(refute_0_3082,plain,
    ( complement(meet(X_88,top)) != complement(X_88)
    | meet(X_88,complement(meet(X_88,top))) != meet(X_88,complement(meet(X_88,top)))
    | meet(X_88,complement(meet(X_88,top))) = meet(X_88,complement(X_88)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_88,complement(meet(X_88,top))),meet(X_88,complement(meet(X_88,top)))) ),[1,1],$fot(complement(X_88))]]) ).

cnf(refute_0_3083,plain,
    ( complement(meet(X_88,top)) != complement(X_88)
    | meet(X_88,complement(meet(X_88,top))) = meet(X_88,complement(X_88)) ),
    inference(resolve,[$cnf( $equal(meet(X_88,complement(meet(X_88,top))),meet(X_88,complement(meet(X_88,top)))) )],[refute_0_3081,refute_0_3082]) ).

cnf(refute_0_3084,plain,
    meet(X_88,complement(meet(X_88,top))) = meet(X_88,complement(X_88)),
    inference(resolve,[$cnf( $equal(complement(meet(X_88,top)),complement(X_88)) )],[refute_0_3080,refute_0_3083]) ).

cnf(refute_0_3085,plain,
    ( meet(X_88,complement(X_88)) != zero
    | meet(X_88,complement(meet(X_88,top))) != meet(X_88,complement(X_88))
    | meet(X_88,complement(meet(X_88,top))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(X_88,complement(meet(X_88,top))))),bind(Y,$fot(meet(X_88,complement(X_88)))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_3086,plain,
    ( meet(X_88,complement(X_88)) != zero
    | meet(X_88,complement(meet(X_88,top))) = zero ),
    inference(resolve,[$cnf( $equal(meet(X_88,complement(meet(X_88,top))),meet(X_88,complement(X_88))) )],[refute_0_3084,refute_0_3085]) ).

cnf(refute_0_3087,plain,
    meet(X_88,complement(meet(X_88,top))) = zero,
    inference(resolve,[$cnf( $equal(meet(X_88,complement(X_88)),zero) )],[refute_0_1701,refute_0_3086]) ).

cnf(refute_0_3088,plain,
    meet(complement(meet(X_88,top)),X_88) = meet(X_88,complement(meet(X_88,top))),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(X_88)),bind(X_32,$fot(complement(meet(X_88,top))))]]) ).

cnf(refute_0_3089,plain,
    meet(join(complement(X_31),complement(X_32)),X1) = meet(join(complement(X_31),complement(X_32)),X1),
    introduced(tautology,[refl,[$fot(meet(join(complement(X_31),complement(X_32)),X1))]]) ).

cnf(refute_0_3090,plain,
    ( join(complement(X_31),complement(X_32)) != complement(meet(X_31,X_32))
    | meet(join(complement(X_31),complement(X_32)),X1) != meet(join(complement(X_31),complement(X_32)),X1)
    | meet(join(complement(X_31),complement(X_32)),X1) = meet(complement(meet(X_31,X_32)),X1) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_31),complement(X_32)),X1),meet(join(complement(X_31),complement(X_32)),X1)) ),[1,0],$fot(complement(meet(X_31,X_32)))]]) ).

cnf(refute_0_3091,plain,
    ( join(complement(X_31),complement(X_32)) != complement(meet(X_31,X_32))
    | meet(join(complement(X_31),complement(X_32)),X1) = meet(complement(meet(X_31,X_32)),X1) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_31),complement(X_32)),X1),meet(join(complement(X_31),complement(X_32)),X1)) )],[refute_0_3089,refute_0_3090]) ).

cnf(refute_0_3092,plain,
    meet(join(complement(X_31),complement(X_32)),X1) = meet(complement(meet(X_31,X_32)),X1),
    inference(resolve,[$cnf( $equal(join(complement(X_31),complement(X_32)),complement(meet(X_31,X_32))) )],[refute_0_2657,refute_0_3091]) ).

cnf(refute_0_3093,plain,
    ( meet(join(complement(X_31),complement(X_32)),X1) != complement(join(meet(X_31,X_32),complement(X1)))
    | meet(join(complement(X_31),complement(X_32)),X1) != meet(complement(meet(X_31,X_32)),X1)
    | meet(complement(meet(X_31,X_32)),X1) = complement(join(meet(X_31,X_32),complement(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_31),complement(X_32)),X1),complement(join(meet(X_31,X_32),complement(X1)))) ),[0],$fot(meet(complement(meet(X_31,X_32)),X1))]]) ).

cnf(refute_0_3094,plain,
    ( meet(join(complement(X_31),complement(X_32)),X1) != complement(join(meet(X_31,X_32),complement(X1)))
    | meet(complement(meet(X_31,X_32)),X1) = complement(join(meet(X_31,X_32),complement(X1))) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_31),complement(X_32)),X1),meet(complement(meet(X_31,X_32)),X1)) )],[refute_0_3092,refute_0_3093]) ).

cnf(refute_0_3095,plain,
    meet(complement(meet(X_31,X_32)),X1) = complement(join(meet(X_31,X_32),complement(X1))),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_31),complement(X_32)),X1),complement(join(meet(X_31,X_32),complement(X1)))) )],[refute_0_100,refute_0_3094]) ).

cnf(refute_0_3096,plain,
    ( meet(complement(meet(X_31,X_32)),X1) != complement(join(meet(X_31,X_32),complement(X1)))
    | complement(join(meet(X_31,X_32),complement(X1))) = meet(complement(meet(X_31,X_32)),X1) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(meet(X_31,X_32)),X1))),bind(Y,$fot(complement(join(meet(X_31,X_32),complement(X1)))))]]) ).

cnf(refute_0_3097,plain,
    complement(join(meet(X_31,X_32),complement(X1))) = meet(complement(meet(X_31,X_32)),X1),
    inference(resolve,[$cnf( $equal(meet(complement(meet(X_31,X_32)),X1),complement(join(meet(X_31,X_32),complement(X1)))) )],[refute_0_3095,refute_0_3096]) ).

cnf(refute_0_3098,plain,
    complement(join(meet(X_88,top),complement(X_88))) = meet(complement(meet(X_88,top)),X_88),
    inference(subst,[],[refute_0_3097:[bind(X1,$fot(X_88)),bind(X_31,$fot(X_88)),bind(X_32,$fot(top))]]) ).

cnf(refute_0_3099,plain,
    ( complement(join(meet(X_88,top),complement(X_88))) != meet(complement(meet(X_88,top)),X_88)
    | meet(complement(meet(X_88,top)),X_88) != meet(X_88,complement(meet(X_88,top)))
    | complement(join(meet(X_88,top),complement(X_88))) = meet(X_88,complement(meet(X_88,top))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(meet(X_88,top),complement(X_88))))),bind(Y,$fot(meet(complement(meet(X_88,top)),X_88))),bind(Z,$fot(meet(X_88,complement(meet(X_88,top)))))]]) ).

cnf(refute_0_3100,plain,
    ( meet(complement(meet(X_88,top)),X_88) != meet(X_88,complement(meet(X_88,top)))
    | complement(join(meet(X_88,top),complement(X_88))) = meet(X_88,complement(meet(X_88,top))) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_88,top),complement(X_88))),meet(complement(meet(X_88,top)),X_88)) )],[refute_0_3098,refute_0_3099]) ).

cnf(refute_0_3101,plain,
    complement(join(meet(X_88,top),complement(X_88))) = meet(X_88,complement(meet(X_88,top))),
    inference(resolve,[$cnf( $equal(meet(complement(meet(X_88,top)),X_88),meet(X_88,complement(meet(X_88,top)))) )],[refute_0_3088,refute_0_3100]) ).

cnf(refute_0_3102,plain,
    ( complement(join(meet(X_88,top),complement(X_88))) != meet(X_88,complement(meet(X_88,top)))
    | meet(X_88,complement(meet(X_88,top))) != zero
    | complement(join(meet(X_88,top),complement(X_88))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(meet(X_88,top),complement(X_88))))),bind(Y,$fot(meet(X_88,complement(meet(X_88,top))))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_3103,plain,
    ( meet(X_88,complement(meet(X_88,top))) != zero
    | complement(join(meet(X_88,top),complement(X_88))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_88,top),complement(X_88))),meet(X_88,complement(meet(X_88,top)))) )],[refute_0_3101,refute_0_3102]) ).

cnf(refute_0_3104,plain,
    complement(join(meet(X_88,top),complement(X_88))) = zero,
    inference(resolve,[$cnf( $equal(meet(X_88,complement(meet(X_88,top))),zero) )],[refute_0_3087,refute_0_3103]) ).

cnf(refute_0_3105,plain,
    join(X_88,complement(join(meet(X_88,top),complement(X_88)))) = join(X_88,complement(join(meet(X_88,top),complement(X_88)))),
    introduced(tautology,[refl,[$fot(join(X_88,complement(join(meet(X_88,top),complement(X_88)))))]]) ).

cnf(refute_0_3106,plain,
    ( complement(join(meet(X_88,top),complement(X_88))) != zero
    | join(X_88,complement(join(meet(X_88,top),complement(X_88)))) != join(X_88,complement(join(meet(X_88,top),complement(X_88))))
    | join(X_88,complement(join(meet(X_88,top),complement(X_88)))) = join(X_88,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_88,complement(join(meet(X_88,top),complement(X_88)))),join(X_88,complement(join(meet(X_88,top),complement(X_88))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_3107,plain,
    ( complement(join(meet(X_88,top),complement(X_88))) != zero
    | join(X_88,complement(join(meet(X_88,top),complement(X_88)))) = join(X_88,zero) ),
    inference(resolve,[$cnf( $equal(join(X_88,complement(join(meet(X_88,top),complement(X_88)))),join(X_88,complement(join(meet(X_88,top),complement(X_88))))) )],[refute_0_3105,refute_0_3106]) ).

cnf(refute_0_3108,plain,
    join(X_88,complement(join(meet(X_88,top),complement(X_88)))) = join(X_88,zero),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_88,top),complement(X_88))),zero) )],[refute_0_3104,refute_0_3107]) ).

cnf(refute_0_3109,plain,
    join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) = join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))),
    introduced(tautology,[refl,[$fot(join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))))]]) ).

cnf(refute_0_3110,plain,
    ( join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) != join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88))))
    | meet(X_88,top) != X_88
    | join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) = join(X_88,complement(join(meet(X_88,top),complement(X_88)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))),join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88))))) ),[1,0],$fot(X_88)]]) ).

cnf(refute_0_3111,plain,
    ( meet(X_88,top) != X_88
    | join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) = join(X_88,complement(join(meet(X_88,top),complement(X_88)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))),join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88))))) )],[refute_0_3109,refute_0_3110]) ).

cnf(refute_0_3112,plain,
    join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) = join(X_88,complement(join(meet(X_88,top),complement(X_88)))),
    inference(resolve,[$cnf( $equal(meet(X_88,top),X_88) )],[refute_0_3076,refute_0_3111]) ).

cnf(refute_0_3113,plain,
    ( join(X_88,complement(join(meet(X_88,top),complement(X_88)))) != join(X_88,zero)
    | join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) != join(X_88,complement(join(meet(X_88,top),complement(X_88))))
    | join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) = join(X_88,zero) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))))),bind(Y,$fot(join(X_88,complement(join(meet(X_88,top),complement(X_88)))))),bind(Z,$fot(join(X_88,zero)))]]) ).

cnf(refute_0_3114,plain,
    ( join(X_88,complement(join(meet(X_88,top),complement(X_88)))) != join(X_88,zero)
    | join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) = join(X_88,zero) ),
    inference(resolve,[$cnf( $equal(join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))),join(X_88,complement(join(meet(X_88,top),complement(X_88))))) )],[refute_0_3112,refute_0_3113]) ).

cnf(refute_0_3115,plain,
    join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) = join(X_88,zero),
    inference(resolve,[$cnf( $equal(join(X_88,complement(join(meet(X_88,top),complement(X_88)))),join(X_88,zero)) )],[refute_0_3108,refute_0_3114]) ).

cnf(refute_0_3116,plain,
    ( X_88 != join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88))))
    | join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))) != join(X_88,zero)
    | X_88 = join(X_88,zero) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,join(X_88,zero)) ),[0],$fot(join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))))]]) ).

cnf(refute_0_3117,plain,
    ( X_88 != join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88))))
    | X_88 = join(X_88,zero) ),
    inference(resolve,[$cnf( $equal(join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88)))),join(X_88,zero)) )],[refute_0_3115,refute_0_3116]) ).

cnf(refute_0_3118,plain,
    X_88 = join(X_88,zero),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,top),complement(join(meet(X_88,top),complement(X_88))))) )],[refute_0_3075,refute_0_3117]) ).

cnf(refute_0_3119,plain,
    ( X_88 != join(X_88,zero)
    | join(X_88,zero) = X_88 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(X_88)),bind(Y,$fot(join(X_88,zero)))]]) ).

cnf(refute_0_3120,plain,
    join(X_88,zero) = X_88,
    inference(resolve,[$cnf( $equal(X_88,join(X_88,zero)) )],[refute_0_3118,refute_0_3119]) ).

cnf(refute_0_3121,plain,
    join(composition(complement(skolemFOFtoCNF_X0),top),zero) = composition(complement(skolemFOFtoCNF_X0),top),
    inference(subst,[],[refute_0_3120:[bind(X_88,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_3122,plain,
    top = join(composition(top,top),converse(complement(converse(composition(top,top))))),
    inference(subst,[],[refute_0_2868:[bind(X_8,$fot(composition(top,top)))]]) ).

cnf(refute_0_3123,plain,
    join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))) = complement(zero),
    inference(subst,[],[refute_0_12:[bind(X1,$fot(zero))]]) ).

cnf(refute_0_3124,plain,
    composition(X0,composition(top,complement(composition(top,top)))) = composition(composition(X0,top),complement(composition(top,top))),
    inference(subst,[],[refute_0_917:[bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).

cnf(refute_0_3125,plain,
    join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) = zero,
    inference(subst,[],[refute_0_1517:[bind(X0,$fot(converse(X0)))]]) ).

cnf(refute_0_3126,plain,
    ( converse(converse(X0)) != X0
    | join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) != zero
    | join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))),zero) ),[0,1,0],$fot(X0)]]) ).

cnf(refute_0_3127,plain,
    ( join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) != zero
    | join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_0,refute_0_3126]) ).

cnf(refute_0_3128,plain,
    join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))),zero) )],[refute_0_3125,refute_0_3127]) ).

cnf(refute_0_3129,plain,
    join(zero,composition(join(one,top),complement(composition(converse(join(one,top)),top)))) = zero,
    inference(subst,[],[refute_0_3128:[bind(X0,$fot(join(one,top)))]]) ).

cnf(refute_0_3130,plain,
    ( converse(join(one,top)) != join(one,top)
    | join(zero,composition(join(one,top),complement(composition(converse(join(one,top)),top)))) != zero
    | join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(join(one,top),complement(composition(converse(join(one,top)),top)))),zero) ),[0,1,1,0,0],$fot(join(one,top))]]) ).

cnf(refute_0_3131,plain,
    ( join(zero,composition(join(one,top),complement(composition(converse(join(one,top)),top)))) != zero
    | join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) = zero ),
    inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,top)) )],[refute_0_1818,refute_0_3130]) ).

cnf(refute_0_3132,plain,
    join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(join(one,top),complement(composition(converse(join(one,top)),top)))),zero) )],[refute_0_3129,refute_0_3131]) ).

cnf(refute_0_3133,plain,
    composition(join(one,top),top) = composition(join(one,top),top),
    introduced(tautology,[refl,[$fot(composition(join(one,top),top))]]) ).

cnf(refute_0_3134,plain,
    ( composition(join(one,top),top) != composition(join(one,top),top)
    | join(one,top) != top
    | composition(join(one,top),top) = composition(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),top),composition(join(one,top),top)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_3135,plain,
    ( join(one,top) != top
    | composition(join(one,top),top) = composition(top,top) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),top),composition(join(one,top),top)) )],[refute_0_3133,refute_0_3134]) ).

cnf(refute_0_3136,plain,
    composition(join(one,top),top) = composition(top,top),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_3135]) ).

cnf(refute_0_3137,plain,
    complement(composition(join(one,top),top)) = complement(composition(join(one,top),top)),
    introduced(tautology,[refl,[$fot(complement(composition(join(one,top),top)))]]) ).

cnf(refute_0_3138,plain,
    ( complement(composition(join(one,top),top)) != complement(composition(join(one,top),top))
    | composition(join(one,top),top) != composition(top,top)
    | complement(composition(join(one,top),top)) = complement(composition(top,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(composition(join(one,top),top)),complement(composition(join(one,top),top))) ),[1,0],$fot(composition(top,top))]]) ).

cnf(refute_0_3139,plain,
    ( composition(join(one,top),top) != composition(top,top)
    | complement(composition(join(one,top),top)) = complement(composition(top,top)) ),
    inference(resolve,[$cnf( $equal(complement(composition(join(one,top),top)),complement(composition(join(one,top),top))) )],[refute_0_3137,refute_0_3138]) ).

cnf(refute_0_3140,plain,
    complement(composition(join(one,top),top)) = complement(composition(top,top)),
    inference(resolve,[$cnf( $equal(composition(join(one,top),top),composition(top,top)) )],[refute_0_3136,refute_0_3139]) ).

cnf(refute_0_3141,plain,
    composition(top,complement(composition(join(one,top),top))) = composition(top,complement(composition(join(one,top),top))),
    introduced(tautology,[refl,[$fot(composition(top,complement(composition(join(one,top),top))))]]) ).

cnf(refute_0_3142,plain,
    ( complement(composition(join(one,top),top)) != complement(composition(top,top))
    | composition(top,complement(composition(join(one,top),top))) != composition(top,complement(composition(join(one,top),top)))
    | composition(top,complement(composition(join(one,top),top))) = composition(top,complement(composition(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(join(one,top),top))),composition(top,complement(composition(join(one,top),top)))) ),[1,1],$fot(complement(composition(top,top)))]]) ).

cnf(refute_0_3143,plain,
    ( complement(composition(join(one,top),top)) != complement(composition(top,top))
    | composition(top,complement(composition(join(one,top),top))) = composition(top,complement(composition(top,top))) ),
    inference(resolve,[$cnf( $equal(composition(top,complement(composition(join(one,top),top))),composition(top,complement(composition(join(one,top),top)))) )],[refute_0_3141,refute_0_3142]) ).

cnf(refute_0_3144,plain,
    composition(top,complement(composition(join(one,top),top))) = composition(top,complement(composition(top,top))),
    inference(resolve,[$cnf( $equal(complement(composition(join(one,top),top)),complement(composition(top,top))) )],[refute_0_3140,refute_0_3143]) ).

cnf(refute_0_3145,plain,
    composition(join(one,top),complement(composition(join(one,top),top))) = composition(join(one,top),complement(composition(join(one,top),top))),
    introduced(tautology,[refl,[$fot(composition(join(one,top),complement(composition(join(one,top),top))))]]) ).

cnf(refute_0_3146,plain,
    ( composition(join(one,top),complement(composition(join(one,top),top))) != composition(join(one,top),complement(composition(join(one,top),top)))
    | join(one,top) != top
    | composition(join(one,top),complement(composition(join(one,top),top))) = composition(top,complement(composition(join(one,top),top))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),complement(composition(join(one,top),top))),composition(join(one,top),complement(composition(join(one,top),top)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_3147,plain,
    ( join(one,top) != top
    | composition(join(one,top),complement(composition(join(one,top),top))) = composition(top,complement(composition(join(one,top),top))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(composition(join(one,top),top))),composition(join(one,top),complement(composition(join(one,top),top)))) )],[refute_0_3145,refute_0_3146]) ).

cnf(refute_0_3148,plain,
    composition(join(one,top),complement(composition(join(one,top),top))) = composition(top,complement(composition(join(one,top),top))),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_3147]) ).

cnf(refute_0_3149,plain,
    ( composition(join(one,top),complement(composition(join(one,top),top))) != composition(top,complement(composition(join(one,top),top)))
    | composition(top,complement(composition(join(one,top),top))) != composition(top,complement(composition(top,top)))
    | composition(join(one,top),complement(composition(join(one,top),top))) = composition(top,complement(composition(top,top))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(one,top),complement(composition(join(one,top),top))))),bind(Y,$fot(composition(top,complement(composition(join(one,top),top))))),bind(Z,$fot(composition(top,complement(composition(top,top)))))]]) ).

cnf(refute_0_3150,plain,
    ( composition(top,complement(composition(join(one,top),top))) != composition(top,complement(composition(top,top)))
    | composition(join(one,top),complement(composition(join(one,top),top))) = composition(top,complement(composition(top,top))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(composition(join(one,top),top))),composition(top,complement(composition(join(one,top),top)))) )],[refute_0_3148,refute_0_3149]) ).

cnf(refute_0_3151,plain,
    composition(join(one,top),complement(composition(join(one,top),top))) = composition(top,complement(composition(top,top))),
    inference(resolve,[$cnf( $equal(composition(top,complement(composition(join(one,top),top))),composition(top,complement(composition(top,top)))) )],[refute_0_3144,refute_0_3150]) ).

cnf(refute_0_3152,plain,
    join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) = join(zero,composition(join(one,top),complement(composition(join(one,top),top)))),
    introduced(tautology,[refl,[$fot(join(zero,composition(join(one,top),complement(composition(join(one,top),top)))))]]) ).

cnf(refute_0_3153,plain,
    ( composition(join(one,top),complement(composition(join(one,top),top))) != composition(top,complement(composition(top,top)))
    | join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) != join(zero,composition(join(one,top),complement(composition(join(one,top),top))))
    | join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) = join(zero,composition(top,complement(composition(top,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(join(one,top),complement(composition(join(one,top),top)))),join(zero,composition(join(one,top),complement(composition(join(one,top),top))))) ),[1,1],$fot(composition(top,complement(composition(top,top))))]]) ).

cnf(refute_0_3154,plain,
    ( composition(join(one,top),complement(composition(join(one,top),top))) != composition(top,complement(composition(top,top)))
    | join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) = join(zero,composition(top,complement(composition(top,top)))) ),
    inference(resolve,[$cnf( $equal(join(zero,composition(join(one,top),complement(composition(join(one,top),top)))),join(zero,composition(join(one,top),complement(composition(join(one,top),top))))) )],[refute_0_3152,refute_0_3153]) ).

cnf(refute_0_3155,plain,
    join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) = join(zero,composition(top,complement(composition(top,top)))),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(composition(join(one,top),top))),composition(top,complement(composition(top,top)))) )],[refute_0_3151,refute_0_3154]) ).

cnf(refute_0_3156,plain,
    ( join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) != join(zero,composition(top,complement(composition(top,top))))
    | join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) != zero
    | join(zero,composition(top,complement(composition(top,top)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(join(one,top),complement(composition(join(one,top),top)))),zero) ),[0],$fot(join(zero,composition(top,complement(composition(top,top)))))]]) ).

cnf(refute_0_3157,plain,
    ( join(zero,composition(join(one,top),complement(composition(join(one,top),top)))) != zero
    | join(zero,composition(top,complement(composition(top,top)))) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(join(one,top),complement(composition(join(one,top),top)))),join(zero,composition(top,complement(composition(top,top))))) )],[refute_0_3155,refute_0_3156]) ).

cnf(refute_0_3158,plain,
    join(zero,composition(top,complement(composition(top,top)))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(join(one,top),complement(composition(join(one,top),top)))),zero) )],[refute_0_3132,refute_0_3157]) ).

cnf(refute_0_3159,plain,
    join(zero,composition(top,complement(composition(top,top)))) = composition(top,complement(composition(top,top))),
    inference(subst,[],[refute_0_2647:[bind(X_88,$fot(composition(top,complement(composition(top,top)))))]]) ).

cnf(refute_0_3160,plain,
    ( join(zero,composition(top,complement(composition(top,top)))) != composition(top,complement(composition(top,top)))
    | join(zero,composition(top,complement(composition(top,top)))) != zero
    | composition(top,complement(composition(top,top))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) ),[0],$fot(composition(top,complement(composition(top,top))))]]) ).

cnf(refute_0_3161,plain,
    ( join(zero,composition(top,complement(composition(top,top)))) != zero
    | composition(top,complement(composition(top,top))) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),composition(top,complement(composition(top,top)))) )],[refute_0_3159,refute_0_3160]) ).

cnf(refute_0_3162,plain,
    composition(top,complement(composition(top,top))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) )],[refute_0_3158,refute_0_3161]) ).

cnf(refute_0_3163,plain,
    ( composition(X0,composition(top,complement(composition(top,top)))) != composition(composition(X0,top),complement(composition(top,top)))
    | composition(top,complement(composition(top,top))) != zero
    | composition(X0,zero) = composition(composition(X0,top),complement(composition(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(top,complement(composition(top,top)))),composition(composition(X0,top),complement(composition(top,top)))) ),[0,1],$fot(zero)]]) ).

cnf(refute_0_3164,plain,
    ( composition(X0,composition(top,complement(composition(top,top)))) != composition(composition(X0,top),complement(composition(top,top)))
    | composition(X0,zero) = composition(composition(X0,top),complement(composition(top,top))) ),
    inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_3162,refute_0_3163]) ).

cnf(refute_0_3165,plain,
    composition(X0,zero) = composition(composition(X0,top),complement(composition(top,top))),
    inference(resolve,[$cnf( $equal(composition(X0,composition(top,complement(composition(top,top)))),composition(composition(X0,top),complement(composition(top,top)))) )],[refute_0_3124,refute_0_3164]) ).

cnf(refute_0_3166,plain,
    composition(join(top,X1),complement(composition(top,top))) = join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top)))),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).

cnf(refute_0_3167,plain,
    ( composition(join(top,X1),complement(composition(top,top))) != join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))
    | composition(top,complement(composition(top,top))) != zero
    | composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_3168,plain,
    ( composition(join(top,X1),complement(composition(top,top))) != join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))
    | composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))) ),
    inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_3162,refute_0_3167]) ).

cnf(refute_0_3169,plain,
    composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))),
    inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))) )],[refute_0_3166,refute_0_3168]) ).

cnf(refute_0_3170,plain,
    join(top,X1) = top,
    inference(subst,[],[refute_0_2281:[bind(X_50,$fot(X1))]]) ).

cnf(refute_0_3171,plain,
    composition(join(top,X1),complement(composition(top,top))) = composition(join(top,X1),complement(composition(top,top))),
    introduced(tautology,[refl,[$fot(composition(join(top,X1),complement(composition(top,top))))]]) ).

cnf(refute_0_3172,plain,
    ( composition(join(top,X1),complement(composition(top,top))) != composition(join(top,X1),complement(composition(top,top)))
    | join(top,X1) != top
    | composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(join(top,X1),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_3173,plain,
    ( join(top,X1) != top
    | composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
    inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(join(top,X1),complement(composition(top,top)))) )],[refute_0_3171,refute_0_3172]) ).

cnf(refute_0_3174,plain,
    composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
    inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_0_3170,refute_0_3173]) ).

cnf(refute_0_3175,plain,
    ( composition(join(top,X1),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
    | composition(top,complement(composition(top,top))) != zero
    | composition(join(top,X1),complement(composition(top,top))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(top,X1),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_3176,plain,
    ( composition(top,complement(composition(top,top))) != zero
    | composition(join(top,X1),complement(composition(top,top))) = zero ),
    inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_3174,refute_0_3175]) ).

cnf(refute_0_3177,plain,
    composition(join(top,X1),complement(composition(top,top))) = zero,
    inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_3162,refute_0_3176]) ).

cnf(refute_0_3178,plain,
    ( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
    | composition(join(top,X1),complement(composition(top,top))) != zero
    | zero = join(zero,composition(X1,complement(composition(top,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(zero,composition(X1,complement(composition(top,top))))) ),[0],$fot(zero)]]) ).

cnf(refute_0_3179,plain,
    ( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
    | zero = join(zero,composition(X1,complement(composition(top,top)))) ),
    inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),zero) )],[refute_0_3177,refute_0_3178]) ).

cnf(refute_0_3180,plain,
    join(zero,composition(X1,complement(composition(top,top)))) = composition(X1,complement(composition(top,top))),
    inference(subst,[],[refute_0_2647:[bind(X_88,$fot(composition(X1,complement(composition(top,top)))))]]) ).

cnf(refute_0_3181,plain,
    ( join(zero,composition(X1,complement(composition(top,top)))) != composition(X1,complement(composition(top,top)))
    | zero != join(zero,composition(X1,complement(composition(top,top))))
    | zero = composition(X1,complement(composition(top,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,composition(X1,complement(composition(top,top))))) ),[1],$fot(composition(X1,complement(composition(top,top))))]]) ).

cnf(refute_0_3182,plain,
    ( zero != join(zero,composition(X1,complement(composition(top,top))))
    | zero = composition(X1,complement(composition(top,top))) ),
    inference(resolve,[$cnf( $equal(join(zero,composition(X1,complement(composition(top,top)))),composition(X1,complement(composition(top,top)))) )],[refute_0_3180,refute_0_3181]) ).

cnf(refute_0_3183,plain,
    ( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
    | zero = composition(X1,complement(composition(top,top))) ),
    inference(resolve,[$cnf( $equal(zero,join(zero,composition(X1,complement(composition(top,top))))) )],[refute_0_3179,refute_0_3182]) ).

cnf(refute_0_3184,plain,
    zero = composition(X1,complement(composition(top,top))),
    inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(zero,composition(X1,complement(composition(top,top))))) )],[refute_0_3169,refute_0_3183]) ).

cnf(refute_0_3185,plain,
    ( zero != composition(X1,complement(composition(top,top)))
    | composition(X1,complement(composition(top,top))) = zero ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(X1,complement(composition(top,top)))))]]) ).

cnf(refute_0_3186,plain,
    composition(X1,complement(composition(top,top))) = zero,
    inference(resolve,[$cnf( $equal(zero,composition(X1,complement(composition(top,top)))) )],[refute_0_3184,refute_0_3185]) ).

cnf(refute_0_3187,plain,
    composition(composition(X0,top),complement(composition(top,top))) = zero,
    inference(subst,[],[refute_0_3186:[bind(X1,$fot(composition(X0,top)))]]) ).

cnf(refute_0_3188,plain,
    ( composition(X0,zero) != composition(composition(X0,top),complement(composition(top,top)))
    | composition(composition(X0,top),complement(composition(top,top))) != zero
    | composition(X0,zero) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,zero),zero) ),[0],$fot(composition(composition(X0,top),complement(composition(top,top))))]]) ).

cnf(refute_0_3189,plain,
    ( composition(X0,zero) != composition(composition(X0,top),complement(composition(top,top)))
    | composition(X0,zero) = zero ),
    inference(resolve,[$cnf( $equal(composition(composition(X0,top),complement(composition(top,top))),zero) )],[refute_0_3187,refute_0_3188]) ).

cnf(refute_0_3190,plain,
    composition(X0,zero) = zero,
    inference(resolve,[$cnf( $equal(composition(X0,zero),composition(composition(X0,top),complement(composition(top,top)))) )],[refute_0_3165,refute_0_3189]) ).

cnf(refute_0_3191,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_3192,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_3190,refute_0_3191]) ).

cnf(refute_0_3193,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_3123,refute_0_3192]) ).

cnf(refute_0_3194,plain,
    converse(composition(converse(join(one,top)),X_16)) = composition(converse(X_16),join(one,top)),
    inference(subst,[],[refute_0_308:[bind(X0,$fot(join(one,top)))]]) ).

cnf(refute_0_3195,plain,
    ( converse(composition(converse(join(one,top)),X_16)) != composition(converse(X_16),join(one,top))
    | converse(join(one,top)) != join(one,top)
    | converse(composition(join(one,top),X_16)) = composition(converse(X_16),join(one,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(join(one,top)),X_16)),composition(converse(X_16),join(one,top))) ),[0,0,0],$fot(join(one,top))]]) ).

cnf(refute_0_3196,plain,
    ( converse(composition(converse(join(one,top)),X_16)) != composition(converse(X_16),join(one,top))
    | converse(composition(join(one,top),X_16)) = composition(converse(X_16),join(one,top)) ),
    inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,top)) )],[refute_0_1818,refute_0_3195]) ).

cnf(refute_0_3197,plain,
    converse(composition(join(one,top),X_16)) = composition(converse(X_16),join(one,top)),
    inference(resolve,[$cnf( $equal(converse(composition(converse(join(one,top)),X_16)),composition(converse(X_16),join(one,top))) )],[refute_0_3194,refute_0_3196]) ).

cnf(refute_0_3198,plain,
    composition(join(one,top),X_16) = composition(join(one,top),X_16),
    introduced(tautology,[refl,[$fot(composition(join(one,top),X_16))]]) ).

cnf(refute_0_3199,plain,
    ( composition(join(one,top),X_16) != composition(join(one,top),X_16)
    | join(one,top) != top
    | composition(join(one,top),X_16) = composition(top,X_16) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),X_16),composition(join(one,top),X_16)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_3200,plain,
    ( join(one,top) != top
    | composition(join(one,top),X_16) = composition(top,X_16) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),X_16),composition(join(one,top),X_16)) )],[refute_0_3198,refute_0_3199]) ).

cnf(refute_0_3201,plain,
    composition(join(one,top),X_16) = composition(top,X_16),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_3200]) ).

cnf(refute_0_3202,plain,
    converse(composition(join(one,top),X_16)) = converse(composition(join(one,top),X_16)),
    introduced(tautology,[refl,[$fot(converse(composition(join(one,top),X_16)))]]) ).

cnf(refute_0_3203,plain,
    ( composition(join(one,top),X_16) != composition(top,X_16)
    | converse(composition(join(one,top),X_16)) != converse(composition(join(one,top),X_16))
    | converse(composition(join(one,top),X_16)) = converse(composition(top,X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,top),X_16)),converse(composition(join(one,top),X_16))) ),[1,0],$fot(composition(top,X_16))]]) ).

cnf(refute_0_3204,plain,
    ( composition(join(one,top),X_16) != composition(top,X_16)
    | converse(composition(join(one,top),X_16)) = converse(composition(top,X_16)) ),
    inference(resolve,[$cnf( $equal(converse(composition(join(one,top),X_16)),converse(composition(join(one,top),X_16))) )],[refute_0_3202,refute_0_3203]) ).

cnf(refute_0_3205,plain,
    converse(composition(join(one,top),X_16)) = converse(composition(top,X_16)),
    inference(resolve,[$cnf( $equal(composition(join(one,top),X_16),composition(top,X_16)) )],[refute_0_3201,refute_0_3204]) ).

cnf(refute_0_3206,plain,
    ( converse(composition(join(one,top),X_16)) != composition(converse(X_16),join(one,top))
    | converse(composition(join(one,top),X_16)) != converse(composition(top,X_16))
    | converse(composition(top,X_16)) = composition(converse(X_16),join(one,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,top),X_16)),composition(converse(X_16),join(one,top))) ),[0],$fot(converse(composition(top,X_16)))]]) ).

cnf(refute_0_3207,plain,
    ( converse(composition(join(one,top),X_16)) != composition(converse(X_16),join(one,top))
    | converse(composition(top,X_16)) = composition(converse(X_16),join(one,top)) ),
    inference(resolve,[$cnf( $equal(converse(composition(join(one,top),X_16)),converse(composition(top,X_16))) )],[refute_0_3205,refute_0_3206]) ).

cnf(refute_0_3208,plain,
    composition(converse(X_16),join(one,top)) = composition(converse(X_16),join(one,top)),
    introduced(tautology,[refl,[$fot(composition(converse(X_16),join(one,top)))]]) ).

cnf(refute_0_3209,plain,
    ( composition(converse(X_16),join(one,top)) != composition(converse(X_16),join(one,top))
    | join(one,top) != top
    | composition(converse(X_16),join(one,top)) = composition(converse(X_16),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_16),join(one,top)),composition(converse(X_16),join(one,top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_3210,plain,
    ( join(one,top) != top
    | composition(converse(X_16),join(one,top)) = composition(converse(X_16),top) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_16),join(one,top)),composition(converse(X_16),join(one,top))) )],[refute_0_3208,refute_0_3209]) ).

cnf(refute_0_3211,plain,
    composition(converse(X_16),join(one,top)) = composition(converse(X_16),top),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_3210]) ).

cnf(refute_0_3212,plain,
    ( composition(converse(X_16),join(one,top)) != composition(converse(X_16),top)
    | converse(composition(top,X_16)) != composition(converse(X_16),join(one,top))
    | converse(composition(top,X_16)) = composition(converse(X_16),top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,X_16)),composition(converse(X_16),join(one,top))) ),[1],$fot(composition(converse(X_16),top))]]) ).

cnf(refute_0_3213,plain,
    ( converse(composition(top,X_16)) != composition(converse(X_16),join(one,top))
    | converse(composition(top,X_16)) = composition(converse(X_16),top) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_16),join(one,top)),composition(converse(X_16),top)) )],[refute_0_3211,refute_0_3212]) ).

cnf(refute_0_3214,plain,
    ( converse(composition(join(one,top),X_16)) != composition(converse(X_16),join(one,top))
    | converse(composition(top,X_16)) = composition(converse(X_16),top) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,X_16)),composition(converse(X_16),join(one,top))) )],[refute_0_3207,refute_0_3213]) ).

cnf(refute_0_3215,plain,
    converse(composition(top,X_16)) = composition(converse(X_16),top),
    inference(resolve,[$cnf( $equal(converse(composition(join(one,top),X_16)),composition(converse(X_16),join(one,top))) )],[refute_0_3197,refute_0_3214]) ).

cnf(refute_0_3216,plain,
    ( converse(composition(top,X_16)) != composition(converse(X_16),top)
    | composition(converse(X_16),top) = converse(composition(top,X_16)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(top,X_16)))),bind(Y,$fot(composition(converse(X_16),top)))]]) ).

cnf(refute_0_3217,plain,
    composition(converse(X_16),top) = converse(composition(top,X_16)),
    inference(resolve,[$cnf( $equal(converse(composition(top,X_16)),composition(converse(X_16),top)) )],[refute_0_3215,refute_0_3216]) ).

cnf(refute_0_3218,plain,
    composition(converse(join(one,X0)),top) = converse(composition(top,join(one,X0))),
    inference(subst,[],[refute_0_3217:[bind(X_16,$fot(join(one,X0)))]]) ).

cnf(refute_0_3219,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_3220,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_3221,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_3219,refute_0_3220]) ).

cnf(refute_0_3222,plain,
    composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),top),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_2924,refute_0_3221]) ).

cnf(refute_0_3223,plain,
    join(one,converse(X0)) = converse(join(one,X0)),
    inference(subst,[],[refute_0_1012:[bind(X_5,$fot(X0))]]) ).

cnf(refute_0_3224,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_3225,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_3226,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_3224,refute_0_3225]) ).

cnf(refute_0_3227,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_3223,refute_0_3226]) ).

cnf(refute_0_3228,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_49:[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_3229,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_3227,refute_0_3228]) ).

cnf(refute_0_3230,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_3222,refute_0_3229]) ).

cnf(refute_0_3231,plain,
    ( composition(converse(join(one,X0)),top) != converse(composition(top,join(one,X0)))
    | composition(join(one,converse(X0)),complement(zero)) != composition(converse(join(one,X0)),top)
    | composition(join(one,converse(X0)),complement(zero)) = converse(composition(top,join(one,X0))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(one,converse(X0)),complement(zero)))),bind(Y,$fot(composition(converse(join(one,X0)),top))),bind(Z,$fot(converse(composition(top,join(one,X0)))))]]) ).

cnf(refute_0_3232,plain,
    ( composition(converse(join(one,X0)),top) != converse(composition(top,join(one,X0)))
    | composition(join(one,converse(X0)),complement(zero)) = converse(composition(top,join(one,X0))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),composition(converse(join(one,X0)),top)) )],[refute_0_3230,refute_0_3231]) ).

cnf(refute_0_3233,plain,
    composition(join(one,converse(X0)),complement(zero)) = converse(composition(top,join(one,X0))),
    inference(resolve,[$cnf( $equal(composition(converse(join(one,X0)),top),converse(composition(top,join(one,X0)))) )],[refute_0_3218,refute_0_3232]) ).

cnf(refute_0_3234,plain,
    join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)),
    inference(subst,[],[refute_0_2093:[bind(X1,$fot(converse(X0))),bind(X2,$fot(complement(zero)))]]) ).

cnf(refute_0_3235,plain,
    ( composition(join(one,converse(X0)),complement(zero)) != converse(composition(top,join(one,X0)))
    | join(complement(zero),composition(converse(X0),complement(zero))) != composition(join(one,converse(X0)),complement(zero))
    | join(complement(zero),composition(converse(X0),complement(zero))) = converse(composition(top,join(one,X0))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(zero),composition(converse(X0),complement(zero))))),bind(Y,$fot(composition(join(one,converse(X0)),complement(zero)))),bind(Z,$fot(converse(composition(top,join(one,X0)))))]]) ).

cnf(refute_0_3236,plain,
    ( composition(join(one,converse(X0)),complement(zero)) != converse(composition(top,join(one,X0)))
    | join(complement(zero),composition(converse(X0),complement(zero))) = converse(composition(top,join(one,X0))) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_3234,refute_0_3235]) ).

cnf(refute_0_3237,plain,
    join(complement(zero),composition(converse(X0),complement(zero))) = converse(composition(top,join(one,X0))),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),converse(composition(top,join(one,X0)))) )],[refute_0_3233,refute_0_3236]) ).

cnf(refute_0_3238,plain,
    ( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
    | join(complement(zero),composition(converse(X0),complement(zero))) != converse(composition(top,join(one,X0)))
    | converse(composition(top,join(one,X0))) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),complement(zero)) ),[0],$fot(converse(composition(top,join(one,X0))))]]) ).

cnf(refute_0_3239,plain,
    ( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
    | converse(composition(top,join(one,X0))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),converse(composition(top,join(one,X0)))) )],[refute_0_3237,refute_0_3238]) ).

cnf(refute_0_3240,plain,
    ( complement(zero) != top
    | converse(composition(top,join(one,X0))) != complement(zero)
    | converse(composition(top,join(one,X0))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,X0))),complement(zero)) ),[1],$fot(top)]]) ).

cnf(refute_0_3241,plain,
    ( converse(composition(top,join(one,X0))) != complement(zero)
    | converse(composition(top,join(one,X0))) = top ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_2924,refute_0_3240]) ).

cnf(refute_0_3242,plain,
    ( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
    | converse(composition(top,join(one,X0))) = top ),
    inference(resolve,[$cnf( $equal(converse(composition(top,join(one,X0))),complement(zero)) )],[refute_0_3239,refute_0_3241]) ).

cnf(refute_0_3243,plain,
    converse(composition(top,join(one,X0))) = top,
    inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),complement(zero)) )],[refute_0_3193,refute_0_3242]) ).

cnf(refute_0_3244,plain,
    converse(composition(top,join(one,complement(one)))) = top,
    inference(subst,[],[refute_0_3243:[bind(X0,$fot(complement(one)))]]) ).

cnf(refute_0_3245,plain,
    ( converse(composition(top,join(one,complement(one)))) != top
    | join(one,complement(one)) != top
    | converse(composition(top,top)) = top ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,complement(one)))),top) ),[0,0,1],$fot(top)]]) ).

cnf(refute_0_3246,plain,
    ( converse(composition(top,join(one,complement(one)))) != top
    | converse(composition(top,top)) = top ),
    inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_909,refute_0_3245]) ).

cnf(refute_0_3247,plain,
    converse(composition(top,top)) = top,
    inference(resolve,[$cnf( $equal(converse(composition(top,join(one,complement(one)))),top) )],[refute_0_3244,refute_0_3246]) ).

cnf(refute_0_3248,plain,
    ( converse(composition(top,top)) != top
    | top != join(composition(top,top),converse(complement(converse(composition(top,top)))))
    | top = join(composition(top,top),converse(complement(top))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(composition(top,top),converse(complement(converse(composition(top,top)))))) ),[1,1,0,0],$fot(top)]]) ).

cnf(refute_0_3249,plain,
    ( top != join(composition(top,top),converse(complement(converse(composition(top,top)))))
    | top = join(composition(top,top),converse(complement(top))) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,top)),top) )],[refute_0_3247,refute_0_3248]) ).

cnf(refute_0_3250,plain,
    top = join(composition(top,top),converse(complement(top))),
    inference(resolve,[$cnf( $equal(top,join(composition(top,top),converse(complement(converse(composition(top,top)))))) )],[refute_0_3122,refute_0_3249]) ).

cnf(refute_0_3251,plain,
    join(zero,composition(top,top)) = composition(top,top),
    inference(subst,[],[refute_0_2647:[bind(X_88,$fot(composition(top,top)))]]) ).

cnf(refute_0_3252,plain,
    converse(complement(top)) = converse(complement(top)),
    introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).

cnf(refute_0_3253,plain,
    ( complement(top) != zero
    | converse(complement(top)) != converse(complement(top))
    | converse(complement(top)) = converse(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(top)),converse(complement(top))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_3254,plain,
    ( complement(top) != zero
    | converse(complement(top)) = converse(zero) ),
    inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_3252,refute_0_3253]) ).

cnf(refute_0_3255,plain,
    converse(complement(top)) = converse(zero),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_3254]) ).

cnf(refute_0_3256,plain,
    ( converse(complement(top)) != converse(zero)
    | converse(zero) != zero
    | converse(complement(top)) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(complement(top)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_3257,plain,
    ( converse(zero) != zero
    | converse(complement(top)) = zero ),
    inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_3255,refute_0_3256]) ).

cnf(refute_0_3258,plain,
    converse(complement(top)) = zero,
    inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2960,refute_0_3257]) ).

cnf(refute_0_3259,plain,
    join(converse(complement(top)),composition(top,top)) = join(converse(complement(top)),composition(top,top)),
    introduced(tautology,[refl,[$fot(join(converse(complement(top)),composition(top,top)))]]) ).

cnf(refute_0_3260,plain,
    ( converse(complement(top)) != zero
    | join(converse(complement(top)),composition(top,top)) != join(converse(complement(top)),composition(top,top))
    | join(converse(complement(top)),composition(top,top)) = join(zero,composition(top,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(top)),composition(top,top)),join(converse(complement(top)),composition(top,top))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_3261,plain,
    ( converse(complement(top)) != zero
    | join(converse(complement(top)),composition(top,top)) = join(zero,composition(top,top)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(top)),composition(top,top)),join(converse(complement(top)),composition(top,top))) )],[refute_0_3259,refute_0_3260]) ).

cnf(refute_0_3262,plain,
    join(converse(complement(top)),composition(top,top)) = join(zero,composition(top,top)),
    inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_0_3258,refute_0_3261]) ).

cnf(refute_0_3263,plain,
    ( join(converse(complement(top)),composition(top,top)) != join(zero,composition(top,top))
    | join(zero,composition(top,top)) != composition(top,top)
    | join(converse(complement(top)),composition(top,top)) = composition(top,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(complement(top)),composition(top,top)))),bind(Y,$fot(join(zero,composition(top,top)))),bind(Z,$fot(composition(top,top)))]]) ).

cnf(refute_0_3264,plain,
    ( join(zero,composition(top,top)) != composition(top,top)
    | join(converse(complement(top)),composition(top,top)) = composition(top,top) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(top)),composition(top,top)),join(zero,composition(top,top))) )],[refute_0_3262,refute_0_3263]) ).

cnf(refute_0_3265,plain,
    join(converse(complement(top)),composition(top,top)) = composition(top,top),
    inference(resolve,[$cnf( $equal(join(zero,composition(top,top)),composition(top,top)) )],[refute_0_3251,refute_0_3264]) ).

cnf(refute_0_3266,plain,
    join(composition(top,top),converse(complement(top))) = join(converse(complement(top)),composition(top,top)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(converse(complement(top)))),bind(X1,$fot(composition(top,top)))]]) ).

cnf(refute_0_3267,plain,
    ( join(composition(top,top),converse(complement(top))) != join(converse(complement(top)),composition(top,top))
    | join(converse(complement(top)),composition(top,top)) != composition(top,top)
    | join(composition(top,top),converse(complement(top))) = composition(top,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(top,top),converse(complement(top))))),bind(Y,$fot(join(converse(complement(top)),composition(top,top)))),bind(Z,$fot(composition(top,top)))]]) ).

cnf(refute_0_3268,plain,
    ( join(converse(complement(top)),composition(top,top)) != composition(top,top)
    | join(composition(top,top),converse(complement(top))) = composition(top,top) ),
    inference(resolve,[$cnf( $equal(join(composition(top,top),converse(complement(top))),join(converse(complement(top)),composition(top,top))) )],[refute_0_3266,refute_0_3267]) ).

cnf(refute_0_3269,plain,
    join(composition(top,top),converse(complement(top))) = composition(top,top),
    inference(resolve,[$cnf( $equal(join(converse(complement(top)),composition(top,top)),composition(top,top)) )],[refute_0_3265,refute_0_3268]) ).

cnf(refute_0_3270,plain,
    ( join(composition(top,top),converse(complement(top))) != composition(top,top)
    | top != join(composition(top,top),converse(complement(top)))
    | top = composition(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(composition(top,top),converse(complement(top)))) ),[1],$fot(composition(top,top))]]) ).

cnf(refute_0_3271,plain,
    ( top != join(composition(top,top),converse(complement(top)))
    | top = composition(top,top) ),
    inference(resolve,[$cnf( $equal(join(composition(top,top),converse(complement(top))),composition(top,top)) )],[refute_0_3269,refute_0_3270]) ).

cnf(refute_0_3272,plain,
    top = composition(top,top),
    inference(resolve,[$cnf( $equal(top,join(composition(top,top),converse(complement(top)))) )],[refute_0_3250,refute_0_3271]) ).

cnf(refute_0_3273,plain,
    ( top != composition(top,top)
    | composition(top,top) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(composition(top,top)))]]) ).

cnf(refute_0_3274,plain,
    composition(top,top) = top,
    inference(resolve,[$cnf( $equal(top,composition(top,top)) )],[refute_0_3272,refute_0_3273]) ).

cnf(refute_0_3275,plain,
    join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top,
    inference(subst,[],[refute_0_91:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3276,plain,
    composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),
    introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top))]]) ).

cnf(refute_0_3277,plain,
    ( composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)
    | join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
    | composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_3278,plain,
    ( join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
    | composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(top,top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_3276,refute_0_3277]) ).

cnf(refute_0_3279,plain,
    composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(top,top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_3275,refute_0_3278]) ).

cnf(refute_0_3280,plain,
    ( composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != composition(top,top)
    | composition(top,top) != top
    | composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3281,plain,
    ( composition(top,top) != top
    | composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = top ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),composition(top,top)) )],[refute_0_3279,refute_0_3280]) ).

cnf(refute_0_3282,plain,
    composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = top,
    inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3274,refute_0_3281]) ).

cnf(refute_0_3283,plain,
    composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = join(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),composition(X1,top)),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X2,$fot(top))]]) ).

cnf(refute_0_3284,plain,
    composition(join(X_45,skolemFOFtoCNF_X0),top) = join(composition(X_45,top),composition(skolemFOFtoCNF_X0,top)),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(X_45)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(top))]]) ).

cnf(refute_0_3285,plain,
    ( composition(join(X_45,skolemFOFtoCNF_X0),top) != join(composition(X_45,top),composition(skolemFOFtoCNF_X0,top))
    | composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
    | composition(join(X_45,skolemFOFtoCNF_X0),top) = join(composition(X_45,top),skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X_45,skolemFOFtoCNF_X0),top),join(composition(X_45,top),composition(skolemFOFtoCNF_X0,top))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_3286,plain,
    ( composition(join(X_45,skolemFOFtoCNF_X0),top) != join(composition(X_45,top),composition(skolemFOFtoCNF_X0,top))
    | composition(join(X_45,skolemFOFtoCNF_X0),top) = join(composition(X_45,top),skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_2838,refute_0_3285]) ).

cnf(refute_0_3287,plain,
    composition(join(X_45,skolemFOFtoCNF_X0),top) = join(composition(X_45,top),skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(composition(join(X_45,skolemFOFtoCNF_X0),top),join(composition(X_45,top),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_3284,refute_0_3286]) ).

cnf(refute_0_3288,plain,
    join(composition(X_45,top),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,composition(X_45,top)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(X_45,top)))]]) ).

cnf(refute_0_3289,plain,
    ( composition(join(X_45,skolemFOFtoCNF_X0),top) != join(composition(X_45,top),skolemFOFtoCNF_X0)
    | join(composition(X_45,top),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,composition(X_45,top))
    | composition(join(X_45,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_45,top)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_45,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_45,top))) ),[0],$fot(join(composition(X_45,top),skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3290,plain,
    ( composition(join(X_45,skolemFOFtoCNF_X0),top) != join(composition(X_45,top),skolemFOFtoCNF_X0)
    | composition(join(X_45,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_45,top)) ),
    inference(resolve,[$cnf( $equal(join(composition(X_45,top),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,composition(X_45,top))) )],[refute_0_3288,refute_0_3289]) ).

cnf(refute_0_3291,plain,
    composition(join(X_45,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_45,top)),
    inference(resolve,[$cnf( $equal(composition(join(X_45,skolemFOFtoCNF_X0),top),join(composition(X_45,top),skolemFOFtoCNF_X0)) )],[refute_0_3287,refute_0_3290]) ).

cnf(refute_0_3292,plain,
    composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),
    inference(subst,[],[refute_0_3291:[bind(X_45,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3293,plain,
    ( composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
    | composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
    | composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_3294,plain,
    ( composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
    | composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_2838,refute_0_3293]) ).

cnf(refute_0_3295,plain,
    composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_3292,refute_0_3294]) ).

cnf(refute_0_3296,plain,
    ( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != join(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),composition(X1,top))
    | composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
    | composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),join(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),composition(X1,top))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3297,plain,
    ( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != join(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),composition(X1,top))
    | composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_3295,refute_0_3296]) ).

cnf(refute_0_3298,plain,
    composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),join(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),composition(X1,top))) )],[refute_0_3283,refute_0_3297]) ).

cnf(refute_0_3299,plain,
    join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(X1))]]) ).

cnf(refute_0_3300,plain,
    composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),
    introduced(tautology,[refl,[$fot(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top))]]) ).

cnf(refute_0_3301,plain,
    ( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top)
    | join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1))
    | composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)))]]) ).

cnf(refute_0_3302,plain,
    ( join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1))
    | composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) ),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top)) )],[refute_0_3300,refute_0_3301]) ).

cnf(refute_0_3303,plain,
    composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),
    inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1))) )],[refute_0_3299,refute_0_3302]) ).

cnf(refute_0_3304,plain,
    ( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top)
    | composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))) ),[0],$fot(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top))]]) ).

cnf(refute_0_3305,plain,
    ( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) ),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top)) )],[refute_0_3303,refute_0_3304]) ).

cnf(refute_0_3306,plain,
    composition(join(X_48,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_48,top)),
    inference(subst,[],[refute_0_3291:[bind(X_45,$fot(X_48))]]) ).

cnf(refute_0_3307,plain,
    join(skolemFOFtoCNF_X0,X_48) = join(X_48,skolemFOFtoCNF_X0),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(X_48))]]) ).

cnf(refute_0_3308,plain,
    ( join(skolemFOFtoCNF_X0,X_48) != join(X_48,skolemFOFtoCNF_X0)
    | join(X_48,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_48) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(skolemFOFtoCNF_X0,X_48))),bind(Y,$fot(join(X_48,skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3309,plain,
    join(X_48,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_48),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_48),join(X_48,skolemFOFtoCNF_X0)) )],[refute_0_3307,refute_0_3308]) ).

cnf(refute_0_3310,plain,
    ( composition(join(X_48,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(X_48,top))
    | join(X_48,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_48)
    | composition(join(skolemFOFtoCNF_X0,X_48),top) = join(skolemFOFtoCNF_X0,composition(X_48,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X_48,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_48,top))) ),[0,0],$fot(join(skolemFOFtoCNF_X0,X_48))]]) ).

cnf(refute_0_3311,plain,
    ( composition(join(X_48,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(X_48,top))
    | composition(join(skolemFOFtoCNF_X0,X_48),top) = join(skolemFOFtoCNF_X0,composition(X_48,top)) ),
    inference(resolve,[$cnf( $equal(join(X_48,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_48)) )],[refute_0_3309,refute_0_3310]) ).

cnf(refute_0_3312,plain,
    composition(join(skolemFOFtoCNF_X0,X_48),top) = join(skolemFOFtoCNF_X0,composition(X_48,top)),
    inference(resolve,[$cnf( $equal(composition(join(X_48,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_48,top))) )],[refute_0_3306,refute_0_3311]) ).

cnf(refute_0_3313,plain,
    ( composition(join(X_45,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(X_45,top))
    | join(skolemFOFtoCNF_X0,composition(X_45,top)) = composition(join(X_45,skolemFOFtoCNF_X0),top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X_45,skolemFOFtoCNF_X0),top))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(X_45,top))))]]) ).

cnf(refute_0_3314,plain,
    join(skolemFOFtoCNF_X0,composition(X_45,top)) = composition(join(X_45,skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(composition(join(X_45,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_45,top))) )],[refute_0_3291,refute_0_3313]) ).

cnf(refute_0_3315,plain,
    join(skolemFOFtoCNF_X0,composition(X_48,top)) = composition(join(X_48,skolemFOFtoCNF_X0),top),
    inference(subst,[],[refute_0_3314:[bind(X_45,$fot(X_48))]]) ).

cnf(refute_0_3316,plain,
    ( composition(join(skolemFOFtoCNF_X0,X_48),top) != join(skolemFOFtoCNF_X0,composition(X_48,top))
    | join(skolemFOFtoCNF_X0,composition(X_48,top)) != composition(join(X_48,skolemFOFtoCNF_X0),top)
    | composition(join(skolemFOFtoCNF_X0,X_48),top) = composition(join(X_48,skolemFOFtoCNF_X0),top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X0,X_48),top),composition(join(X_48,skolemFOFtoCNF_X0),top)) ),[0],$fot(join(skolemFOFtoCNF_X0,composition(X_48,top)))]]) ).

cnf(refute_0_3317,plain,
    ( composition(join(skolemFOFtoCNF_X0,X_48),top) != join(skolemFOFtoCNF_X0,composition(X_48,top))
    | composition(join(skolemFOFtoCNF_X0,X_48),top) = composition(join(X_48,skolemFOFtoCNF_X0),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X_48,top)),composition(join(X_48,skolemFOFtoCNF_X0),top)) )],[refute_0_3315,refute_0_3316]) ).

cnf(refute_0_3318,plain,
    composition(join(skolemFOFtoCNF_X0,X_48),top) = composition(join(X_48,skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X_48),top),join(skolemFOFtoCNF_X0,composition(X_48,top))) )],[refute_0_3312,refute_0_3317]) ).

cnf(refute_0_3319,plain,
    ( composition(join(skolemFOFtoCNF_X0,X_48),top) != composition(join(X_48,skolemFOFtoCNF_X0),top)
    | composition(join(X_48,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X_48),top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,X_48),top))),bind(Y,$fot(composition(join(X_48,skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_3320,plain,
    composition(join(X_48,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X_48),top),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X_48),top),composition(join(X_48,skolemFOFtoCNF_X0),top)) )],[refute_0_3318,refute_0_3319]) ).

cnf(refute_0_3321,plain,
    composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
    inference(subst,[],[refute_0_3320:[bind(X_48,$fot(join(X1,skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3322,plain,
    join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) = composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),
    inference(subst,[],[refute_0_3314:[bind(X_45,$fot(join(X1,skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3323,plain,
    ( composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
    | join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) != composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)
    | join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)))]]) ).

cnf(refute_0_3324,plain,
    ( composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
    | join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)),composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)) )],[refute_0_3322,refute_0_3323]) ).

cnf(refute_0_3325,plain,
    join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
    inference(resolve,[$cnf( $equal(composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_3321,refute_0_3324]) ).

cnf(refute_0_3326,plain,
    join(skolemFOFtoCNF_X0,composition(X1,top)) = composition(join(X1,skolemFOFtoCNF_X0),top),
    inference(subst,[],[refute_0_3314:[bind(X_45,$fot(X1))]]) ).

cnf(refute_0_3327,plain,
    join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),
    introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))))]]) ).

cnf(refute_0_3328,plain,
    ( join(skolemFOFtoCNF_X0,composition(X1,top)) != composition(join(X1,skolemFOFtoCNF_X0),top)
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top)))
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top)))) ),[1,1],$fot(composition(join(X1,skolemFOFtoCNF_X0),top))]]) ).

cnf(refute_0_3329,plain,
    ( join(skolemFOFtoCNF_X0,composition(X1,top)) != composition(join(X1,skolemFOFtoCNF_X0),top)
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top)))) )],[refute_0_3327,refute_0_3328]) ).

cnf(refute_0_3330,plain,
    join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X1,top)),composition(join(X1,skolemFOFtoCNF_X0),top)) )],[refute_0_3326,refute_0_3329]) ).

cnf(refute_0_3331,plain,
    ( join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) != join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top))
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)))]]) ).

cnf(refute_0_3332,plain,
    ( join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top))) )],[refute_0_3330,refute_0_3331]) ).

cnf(refute_0_3333,plain,
    join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_3325,refute_0_3332]) ).

cnf(refute_0_3334,plain,
    join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(composition(X1,top)))]]) ).

cnf(refute_0_3335,plain,
    ( join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top)))
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
    | join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)))]]) ).

cnf(refute_0_3336,plain,
    ( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
    | join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
    inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top)))) )],[refute_0_3334,refute_0_3335]) ).

cnf(refute_0_3337,plain,
    join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_3333,refute_0_3336]) ).

cnf(refute_0_3338,plain,
    ( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))
    | join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) ),[0],$fot(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)))]]) ).

cnf(refute_0_3339,plain,
    ( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
    inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_3337,refute_0_3338]) ).

cnf(refute_0_3340,plain,
    ( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))) )],[refute_0_3305,refute_0_3339]) ).

cnf(refute_0_3341,plain,
    composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))) )],[refute_0_3298,refute_0_3340]) ).

cnf(refute_0_3342,plain,
    composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top)),
    inference(subst,[],[refute_0_33:[bind(X1,$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X2,$fot(top))]]) ).

cnf(refute_0_3343,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top))
    | composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
    | composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),join(composition(X0,top),composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3344,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top))
    | composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_3295,refute_0_3343]) ).

cnf(refute_0_3345,plain,
    composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),join(composition(X0,top),composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top))) )],[refute_0_3342,refute_0_3344]) ).

cnf(refute_0_3346,plain,
    composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
    inference(subst,[],[refute_0_3320:[bind(X_48,$fot(join(X0,skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3347,plain,
    join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) = composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),
    inference(subst,[],[refute_0_3314:[bind(X_45,$fot(join(X0,skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3348,plain,
    ( composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
    | join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) != composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)
    | join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)))]]) ).

cnf(refute_0_3349,plain,
    ( composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
    | join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)),composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)) )],[refute_0_3347,refute_0_3348]) ).

cnf(refute_0_3350,plain,
    join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
    inference(resolve,[$cnf( $equal(composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_3346,refute_0_3349]) ).

cnf(refute_0_3351,plain,
    join(skolemFOFtoCNF_X0,composition(X0,top)) = composition(join(X0,skolemFOFtoCNF_X0),top),
    inference(subst,[],[refute_0_3314:[bind(X_45,$fot(X0))]]) ).

cnf(refute_0_3352,plain,
    join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),
    introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))))]]) ).

cnf(refute_0_3353,plain,
    ( join(skolemFOFtoCNF_X0,composition(X0,top)) != composition(join(X0,skolemFOFtoCNF_X0),top)
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))) ),[1,1],$fot(composition(join(X0,skolemFOFtoCNF_X0),top))]]) ).

cnf(refute_0_3354,plain,
    ( join(skolemFOFtoCNF_X0,composition(X0,top)) != composition(join(X0,skolemFOFtoCNF_X0),top)
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))) )],[refute_0_3352,refute_0_3353]) ).

cnf(refute_0_3355,plain,
    join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X0,top)),composition(join(X0,skolemFOFtoCNF_X0),top)) )],[refute_0_3351,refute_0_3354]) ).

cnf(refute_0_3356,plain,
    ( join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) != join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top))
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)))]]) ).

cnf(refute_0_3357,plain,
    ( join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top))) )],[refute_0_3355,refute_0_3356]) ).

cnf(refute_0_3358,plain,
    join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_3350,refute_0_3357]) ).

cnf(refute_0_3359,plain,
    join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(skolemFOFtoCNF_X0)),bind(X_51,$fot(composition(X0,top))),bind(X_52,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3360,plain,
    join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(skolemFOFtoCNF_X0)),bind(X_51,$fot(composition(X0,top))),bind(X_52,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3361,plain,
    ( join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0))
    | join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))
    | join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))))]]) ).

cnf(refute_0_3362,plain,
    ( join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))
    | join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0))) )],[refute_0_3360,refute_0_3361]) ).

cnf(refute_0_3363,plain,
    join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))) )],[refute_0_3359,refute_0_3362]) ).

cnf(refute_0_3364,plain,
    ( join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
    | join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)))]]) ).

cnf(refute_0_3365,plain,
    ( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
    | join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))) )],[refute_0_3363,refute_0_3364]) ).

cnf(refute_0_3366,plain,
    join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_3358,refute_0_3365]) ).

cnf(refute_0_3367,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
    | join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
    | composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) ),[0],$fot(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3368,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
    | composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_3366,refute_0_3367]) ).

cnf(refute_0_3369,plain,
    composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
    inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_3345,refute_0_3368]) ).

cnf(refute_0_3370,plain,
    join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) = complement(complement(skolemFOFtoCNF_X0)),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3371,plain,
    ( composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != zero
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = complement(complement(skolemFOFtoCNF_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(complement(skolemFOFtoCNF_X0))) ),[0,1,1,0],$fot(zero)]]) ).

cnf(refute_0_3372,plain,
    ( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = complement(complement(skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),zero) )],[refute_0_2855,refute_0_3371]) ).

cnf(refute_0_3373,plain,
    join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = complement(complement(skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_3370,refute_0_3372]) ).

cnf(refute_0_3374,plain,
    composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)),
    introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,complement(zero)))]]) ).

cnf(refute_0_3375,plain,
    ( complement(zero) != top
    | composition(skolemFOFtoCNF_X0,complement(zero)) != composition(skolemFOFtoCNF_X0,complement(zero))
    | composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),composition(skolemFOFtoCNF_X0,complement(zero))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_3376,plain,
    ( complement(zero) != top
    | composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),composition(skolemFOFtoCNF_X0,complement(zero))) )],[refute_0_3374,refute_0_3375]) ).

cnf(refute_0_3377,plain,
    composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,top),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_2924,refute_0_3376]) ).

cnf(refute_0_3378,plain,
    converse(converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
    inference(subst,[],[refute_0_0:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3379,plain,
    composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),
    introduced(tautology,[refl,[$fot(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))]]) ).

cnf(refute_0_3380,plain,
    ( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))
    | converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_3381,plain,
    ( converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) )],[refute_0_3379,refute_0_3380]) ).

cnf(refute_0_3382,plain,
    composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)),
    inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3378,refute_0_3381]) ).

cnf(refute_0_3383,plain,
    ( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != composition(skolemFOFtoCNF_X0,complement(zero))
    | composition(skolemFOFtoCNF_X0,complement(zero)) != composition(skolemFOFtoCNF_X0,top)
    | composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,complement(zero)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).

cnf(refute_0_3384,plain,
    ( composition(skolemFOFtoCNF_X0,complement(zero)) != composition(skolemFOFtoCNF_X0,top)
    | composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(skolemFOFtoCNF_X0,complement(zero))) )],[refute_0_3382,refute_0_3383]) ).

cnf(refute_0_3385,plain,
    composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,top),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_3377,refute_0_3384]) ).

cnf(refute_0_3386,plain,
    ( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != composition(skolemFOFtoCNF_X0,top)
    | composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
    | composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = skolemFOFtoCNF_X0 ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,top))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3387,plain,
    ( composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
    | composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = skolemFOFtoCNF_X0 ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_3385,refute_0_3386]) ).

cnf(refute_0_3388,plain,
    composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = skolemFOFtoCNF_X0,
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_2838,refute_0_3387]) ).

cnf(refute_0_3389,plain,
    join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),
    introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))]]) ).

cnf(refute_0_3390,plain,
    ( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != skolemFOFtoCNF_X0
    | join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))
    | join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_3391,plain,
    ( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != skolemFOFtoCNF_X0
    | join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) )],[refute_0_3389,refute_0_3390]) ).

cnf(refute_0_3392,plain,
    join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),skolemFOFtoCNF_X0) )],[refute_0_3388,refute_0_3391]) ).

cnf(refute_0_3393,plain,
    complement(complement(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
    inference(subst,[],[refute_0_2776:[bind(X_114,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3394,plain,
    join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))]]) ).

cnf(refute_0_3395,plain,
    ( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_3396,plain,
    ( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) )],[refute_0_3394,refute_0_3395]) ).

cnf(refute_0_3397,plain,
    join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),
    inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3393,refute_0_3396]) ).

cnf(refute_0_3398,plain,
    ( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))
    | join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3399,plain,
    ( join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) )],[refute_0_3397,refute_0_3398]) ).

cnf(refute_0_3400,plain,
    join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_3392,refute_0_3399]) ).

cnf(refute_0_3401,plain,
    ( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
    | join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = complement(complement(skolemFOFtoCNF_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),complement(complement(skolemFOFtoCNF_X0))) ),[0],$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3402,plain,
    ( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
    | join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = complement(complement(skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_3400,refute_0_3401]) ).

cnf(refute_0_3403,plain,
    ( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != complement(complement(skolemFOFtoCNF_X0))
    | join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_3404,plain,
    ( join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != complement(complement(skolemFOFtoCNF_X0))
    | join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
    inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3393,refute_0_3403]) ).

cnf(refute_0_3405,plain,
    ( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
    | join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_3402,refute_0_3404]) ).

cnf(refute_0_3406,plain,
    join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_3373,refute_0_3405]) ).

cnf(refute_0_3407,plain,
    join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
    introduced(tautology,[refl,[$fot(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3408,plain,
    ( join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
    | join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
    | join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(X0,skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_3409,plain,
    ( join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
    | join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(X0,skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_3407,refute_0_3408]) ).

cnf(refute_0_3410,plain,
    join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(X0,skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_3406,refute_0_3409]) ).

cnf(refute_0_3411,plain,
    composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),
    introduced(tautology,[refl,[$fot(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top))]]) ).

cnf(refute_0_3412,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top)
    | join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(X0,skolemFOFtoCNF_X0)
    | composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(X0,skolemFOFtoCNF_X0),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top)) ),[1,0],$fot(join(X0,skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3413,plain,
    ( join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(X0,skolemFOFtoCNF_X0)
    | composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(X0,skolemFOFtoCNF_X0),top) ),
    inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_3411,refute_0_3412]) ).

cnf(refute_0_3414,plain,
    composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(X0,skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(X0,skolemFOFtoCNF_X0)) )],[refute_0_3410,refute_0_3413]) ).

cnf(refute_0_3415,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != composition(join(X0,skolemFOFtoCNF_X0),top)
    | composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
    | composition(join(X0,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) ),[0],$fot(composition(join(X0,skolemFOFtoCNF_X0),top))]]) ).

cnf(refute_0_3416,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
    | composition(join(X0,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
    inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(X0,skolemFOFtoCNF_X0),top)) )],[refute_0_3414,refute_0_3415]) ).

cnf(refute_0_3417,plain,
    composition(join(X0,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
    inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_3369,refute_0_3416]) ).

cnf(refute_0_3418,plain,
    ( composition(join(X0,skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
    | composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) = composition(join(X0,skolemFOFtoCNF_X0),top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X0,skolemFOFtoCNF_X0),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)))]]) ).

cnf(refute_0_3419,plain,
    composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) = composition(join(X0,skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_3417,refute_0_3418]) ).

cnf(refute_0_3420,plain,
    composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) = composition(join(X1,skolemFOFtoCNF_X0),top),
    inference(subst,[],[refute_0_3419:[bind(X0,$fot(X1))]]) ).

cnf(refute_0_3421,plain,
    ( composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) != composition(join(X1,skolemFOFtoCNF_X0),top)
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(X1,skolemFOFtoCNF_X0),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) ),[1],$fot(composition(join(X1,skolemFOFtoCNF_X0),top))]]) ).

cnf(refute_0_3422,plain,
    ( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(X1,skolemFOFtoCNF_X0),top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),composition(join(X1,skolemFOFtoCNF_X0),top)) )],[refute_0_3420,refute_0_3421]) ).

cnf(refute_0_3423,plain,
    composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(X1,skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_3341,refute_0_3422]) ).

cnf(refute_0_3424,plain,
    join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3425,plain,
    ( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)
    | join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) = join(skolemFOFtoCNF_X0,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)),join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_3426,plain,
    ( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) = join(skolemFOFtoCNF_X0,X2) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_3406,refute_0_3425]) ).

cnf(refute_0_3427,plain,
    join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) = join(skolemFOFtoCNF_X0,X2),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)),join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)) )],[refute_0_3424,refute_0_3426]) ).

cnf(refute_0_3428,plain,
    join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)) = join(skolemFOFtoCNF_X0,X1),
    inference(subst,[],[refute_0_3427:[bind(X2,$fot(X1))]]) ).

cnf(refute_0_3429,plain,
    composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),
    introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top))]]) ).

cnf(refute_0_3430,plain,
    ( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top)
    | join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)) != join(skolemFOFtoCNF_X0,X1)
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,X1),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,X1))]]) ).

cnf(refute_0_3431,plain,
    ( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)) != join(skolemFOFtoCNF_X0,X1)
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,X1),top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top)) )],[refute_0_3429,refute_0_3430]) ).

cnf(refute_0_3432,plain,
    composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,X1),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),join(skolemFOFtoCNF_X0,X1)) )],[refute_0_3428,refute_0_3431]) ).

cnf(refute_0_3433,plain,
    ( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != composition(join(X1,skolemFOFtoCNF_X0),top)
    | composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != composition(join(skolemFOFtoCNF_X0,X1),top)
    | composition(join(skolemFOFtoCNF_X0,X1),top) = composition(join(X1,skolemFOFtoCNF_X0),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(X1,skolemFOFtoCNF_X0),top)) ),[0],$fot(composition(join(skolemFOFtoCNF_X0,X1),top))]]) ).

cnf(refute_0_3434,plain,
    ( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != composition(join(X1,skolemFOFtoCNF_X0),top)
    | composition(join(skolemFOFtoCNF_X0,X1),top) = composition(join(X1,skolemFOFtoCNF_X0),top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,X1),top)) )],[refute_0_3432,refute_0_3433]) ).

cnf(refute_0_3435,plain,
    composition(join(skolemFOFtoCNF_X0,X1),top) = composition(join(X1,skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(X1,skolemFOFtoCNF_X0),top)) )],[refute_0_3423,refute_0_3434]) ).

cnf(refute_0_3436,plain,
    ( composition(join(skolemFOFtoCNF_X0,X1),top) != composition(join(X1,skolemFOFtoCNF_X0),top)
    | composition(join(X1,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X1),top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,X1),top))),bind(Y,$fot(composition(join(X1,skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_3437,plain,
    composition(join(X1,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X1),top),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X1),top),composition(join(X1,skolemFOFtoCNF_X0),top)) )],[refute_0_3435,refute_0_3436]) ).

cnf(refute_0_3438,plain,
    composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),
    inference(subst,[],[refute_0_3437:[bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3439,plain,
    ( composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)
    | composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != top
    | composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3440,plain,
    ( composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != top
    | composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = top ),
    inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_3438,refute_0_3439]) ).

cnf(refute_0_3441,plain,
    composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = top,
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),top) )],[refute_0_3282,refute_0_3440]) ).

cnf(refute_0_3442,plain,
    join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),
    inference(subst,[],[refute_0_3314:[bind(X_45,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3443,plain,
    ( composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != top
    | join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)
    | join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3444,plain,
    ( composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != top
    | join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = top ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)) )],[refute_0_3442,refute_0_3443]) ).

cnf(refute_0_3445,plain,
    join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = top,
    inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),top) )],[refute_0_3441,refute_0_3444]) ).

cnf(refute_0_3446,plain,
    join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),
    introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_3447,plain,
    ( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) != join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_3448,plain,
    ( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3446,refute_0_3447]) ).

cnf(refute_0_3449,plain,
    join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),
    inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3393,refute_0_3448]) ).

cnf(refute_0_3450,plain,
    ( join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) != join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))
    | join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != top
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3451,plain,
    ( join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != top
    | join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = top ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3449,refute_0_3450]) ).

cnf(refute_0_3452,plain,
    join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = top,
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),top) )],[refute_0_3445,refute_0_3451]) ).

cnf(refute_0_3453,plain,
    join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))) = join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_3454,plain,
    ( join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) != top
    | join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))) != join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))
    | join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3455,plain,
    ( join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) != top
    | join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))) = top ),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))),join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_3453,refute_0_3454]) ).

cnf(refute_0_3456,plain,
    join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))) = top,
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),top) )],[refute_0_3452,refute_0_3455]) ).

cnf(refute_0_3457,plain,
    complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) = complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))),
    introduced(tautology,[refl,[$fot(complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_3458,plain,
    ( complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) != complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))
    | join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))) != top
    | complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_3459,plain,
    ( join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))) != top
    | complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) )],[refute_0_3457,refute_0_3458]) ).

cnf(refute_0_3460,plain,
    complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) = complement(top),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))),top) )],[refute_0_3456,refute_0_3459]) ).

cnf(refute_0_3461,plain,
    ( complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) != complement(top)
    | complement(top) != zero
    | complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_3462,plain,
    ( complement(top) != zero
    | complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))),complement(top)) )],[refute_0_3460,refute_0_3461]) ).

cnf(refute_0_3463,plain,
    complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_3462]) ).

cnf(refute_0_3464,plain,
    join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) = join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))),
    introduced(tautology,[refl,[$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_3465,plain,
    ( complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) != zero
    | join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) != join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))
    | join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) = join(composition(complement(skolemFOFtoCNF_X0),top),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))),join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_3466,plain,
    ( complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))) != zero
    | join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) = join(composition(complement(skolemFOFtoCNF_X0),top),zero) ),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))),join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3464,refute_0_3465]) ).

cnf(refute_0_3467,plain,
    join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) = join(composition(complement(skolemFOFtoCNF_X0),top),zero),
    inference(resolve,[$cnf( $equal(complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))),zero) )],[refute_0_3463,refute_0_3466]) ).

cnf(refute_0_3468,plain,
    ( join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) != join(composition(complement(skolemFOFtoCNF_X0),top),zero)
    | join(composition(complement(skolemFOFtoCNF_X0),top),zero) != composition(complement(skolemFOFtoCNF_X0),top)
    | join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) = composition(complement(skolemFOFtoCNF_X0),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(composition(complement(skolemFOFtoCNF_X0),top),zero))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_3469,plain,
    ( join(composition(complement(skolemFOFtoCNF_X0),top),zero) != composition(complement(skolemFOFtoCNF_X0),top)
    | join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) = composition(complement(skolemFOFtoCNF_X0),top) ),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))),join(composition(complement(skolemFOFtoCNF_X0),top),zero)) )],[refute_0_3467,refute_0_3468]) ).

cnf(refute_0_3470,plain,
    join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) = composition(complement(skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),zero),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3121,refute_0_3469]) ).

cnf(refute_0_3471,plain,
    ( complement(skolemFOFtoCNF_X0) != join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))
    | join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))) != composition(complement(skolemFOFtoCNF_X0),top)
    | complement(skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),[0],$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_3472,plain,
    ( complement(skolemFOFtoCNF_X0) != join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))
    | complement(skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),top) ),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3470,refute_0_3471]) ).

cnf(refute_0_3473,plain,
    complement(skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),top),
    inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_3068,refute_0_3472]) ).

cnf(refute_0_3474,plain,
    ( complement(skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),top)
    | composition(complement(skolemFOFtoCNF_X0),top) = complement(skolemFOFtoCNF_X0) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).

cnf(refute_0_3475,plain,
    composition(complement(skolemFOFtoCNF_X0),top) = complement(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_3473,refute_0_3474]) ).

cnf(refute_0_3476,plain,
    ( composition(complement(skolemFOFtoCNF_X0),top) != complement(skolemFOFtoCNF_X0)
    | composition(join(complement(skolemFOFtoCNF_X0),X1),top) != join(composition(complement(skolemFOFtoCNF_X0),top),composition(X1,top))
    | composition(join(complement(skolemFOFtoCNF_X0),X1),top) = join(complement(skolemFOFtoCNF_X0),composition(X1,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),X1),top),join(composition(complement(skolemFOFtoCNF_X0),top),composition(X1,top))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_3477,plain,
    ( composition(join(complement(skolemFOFtoCNF_X0),X1),top) != join(composition(complement(skolemFOFtoCNF_X0),top),composition(X1,top))
    | composition(join(complement(skolemFOFtoCNF_X0),X1),top) = join(complement(skolemFOFtoCNF_X0),composition(X1,top)) ),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) )],[refute_0_3475,refute_0_3476]) ).

cnf(refute_0_3478,plain,
    composition(join(complement(skolemFOFtoCNF_X0),X1),top) = join(complement(skolemFOFtoCNF_X0),composition(X1,top)),
    inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),X1),top),join(composition(complement(skolemFOFtoCNF_X0),top),composition(X1,top))) )],[refute_0_34,refute_0_3477]) ).

cnf(refute_0_3479,plain,
    composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X1),top)),
    inference(subst,[],[refute_0_3478:[bind(X1,$fot(complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3480,plain,
    complement(skolemFOFtoCNF_X1) = join(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))),
    inference(subst,[],[refute_0_62:[bind(X_88,$fot(complement(skolemFOFtoCNF_X1))),bind(X_89,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_3481,plain,
    X_176 = meet(X_176,join(X_176,X_175)),
    inference(subst,[],[refute_0_2788:[bind(X_52,$fot(X_175)),bind(X_88,$fot(X_176))]]) ).

cnf(refute_0_3482,plain,
    join(X_175,X_176) = join(X_176,X_175),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(X_175)),bind(X1,$fot(X_176))]]) ).

cnf(refute_0_3483,plain,
    ( join(X_175,X_176) != join(X_176,X_175)
    | join(X_176,X_175) = join(X_175,X_176) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_175,X_176))),bind(Y,$fot(join(X_176,X_175)))]]) ).

cnf(refute_0_3484,plain,
    join(X_176,X_175) = join(X_175,X_176),
    inference(resolve,[$cnf( $equal(join(X_175,X_176),join(X_176,X_175)) )],[refute_0_3482,refute_0_3483]) ).

cnf(refute_0_3485,plain,
    ( X_176 != meet(X_176,join(X_176,X_175))
    | join(X_176,X_175) != join(X_175,X_176)
    | X_176 = meet(X_176,join(X_175,X_176)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_176,meet(X_176,join(X_176,X_175))) ),[1,1],$fot(join(X_175,X_176))]]) ).

cnf(refute_0_3486,plain,
    ( X_176 != meet(X_176,join(X_176,X_175))
    | X_176 = meet(X_176,join(X_175,X_176)) ),
    inference(resolve,[$cnf( $equal(join(X_176,X_175),join(X_175,X_176)) )],[refute_0_3484,refute_0_3485]) ).

cnf(refute_0_3487,plain,
    X_176 = meet(X_176,join(X_175,X_176)),
    inference(resolve,[$cnf( $equal(X_176,meet(X_176,join(X_176,X_175))) )],[refute_0_3481,refute_0_3486]) ).

cnf(refute_0_3488,plain,
    composition(complement(skolemFOFtoCNF_X1),top) = meet(composition(complement(skolemFOFtoCNF_X1),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))),
    inference(subst,[],[refute_0_3487:[bind(X_175,$fot(complement(skolemFOFtoCNF_X1))),bind(X_176,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_3489,plain,
    join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) = complement(skolemFOFtoCNF_X1),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(complement(skolemFOFtoCNF_X1)))),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3490,plain,
    converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))),
    inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(skolemFOFtoCNF_X1))),bind(X1,$fot(complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3491,plain,
    composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) = join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),
    inference(subst,[],[refute_0_2383:[bind(X_88,$fot(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3492,plain,
    join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top) = join(top,join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),
    inference(subst,[],[refute_0_720:[bind(X_50,$fot(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_3493,plain,
    join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) = join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),
    inference(subst,[],[refute_0_1870:[bind(X_52,$fot(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_3494,plain,
    top = join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3495,plain,
    ( top != join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))]]) ).

cnf(refute_0_3496,plain,
    join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = top,
    inference(resolve,[$cnf( $equal(top,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) )],[refute_0_3494,refute_0_3495]) ).

cnf(refute_0_3497,plain,
    ( join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != top
    | join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) != join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | join(zero,top) = join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_3498,plain,
    ( join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) != join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | join(zero,top) = join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) ),
    inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),top) )],[refute_0_3496,refute_0_3497]) ).

cnf(refute_0_3499,plain,
    join(zero,top) = join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),
    inference(resolve,[$cnf( $equal(join(zero,join(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) )],[refute_0_3493,refute_0_3498]) ).

cnf(refute_0_3500,plain,
    top = join(top,complement(top)),
    inference(subst,[],[refute_0_67:[bind(X0,$fot(top))]]) ).

cnf(refute_0_3501,plain,
    ( complement(top) != zero
    | top != join(top,complement(top))
    | top = join(top,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_3502,plain,
    ( top != join(top,complement(top))
    | top = join(top,zero) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_3501]) ).

cnf(refute_0_3503,plain,
    top = join(top,zero),
    inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_3500,refute_0_3502]) ).

cnf(refute_0_3504,plain,
    ( top != join(top,zero)
    | join(top,zero) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).

cnf(refute_0_3505,plain,
    join(top,zero) = top,
    inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_3503,refute_0_3504]) ).

cnf(refute_0_3506,plain,
    join(zero,top) = join(top,zero),
    inference(subst,[],[refute_0_2260:[bind(X2,$fot(zero))]]) ).

cnf(refute_0_3507,plain,
    ( join(top,zero) != top
    | join(zero,top) != join(top,zero)
    | join(zero,top) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(zero,top))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3508,plain,
    ( join(top,zero) != top
    | join(zero,top) = top ),
    inference(resolve,[$cnf( $equal(join(zero,top),join(top,zero)) )],[refute_0_3506,refute_0_3507]) ).

cnf(refute_0_3509,plain,
    join(zero,top) = top,
    inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_3505,refute_0_3508]) ).

cnf(refute_0_3510,plain,
    ( join(zero,top) != join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | join(zero,top) != top
    | top = join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,top),join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) ),[0],$fot(top)]]) ).

cnf(refute_0_3511,plain,
    ( join(zero,top) != join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | top = join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) ),
    inference(resolve,[$cnf( $equal(join(zero,top),top) )],[refute_0_3509,refute_0_3510]) ).

cnf(refute_0_3512,plain,
    top = join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),
    inference(resolve,[$cnf( $equal(join(zero,top),join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) )],[refute_0_3499,refute_0_3511]) ).

cnf(refute_0_3513,plain,
    ( top != join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))]]) ).

cnf(refute_0_3514,plain,
    join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) )],[refute_0_3512,refute_0_3513]) ).

cnf(refute_0_3515,plain,
    ( join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top) != join(top,join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))
    | join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != top
    | join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top),join(top,join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_3516,plain,
    ( join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top) != join(top,join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))
    | join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),top) )],[refute_0_3514,refute_0_3515]) ).

cnf(refute_0_3517,plain,
    join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top) = join(top,top),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top),join(top,join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) )],[refute_0_3492,refute_0_3516]) ).

cnf(refute_0_3518,plain,
    join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top) = join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(top)),bind(X1,$fot(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_3519,plain,
    ( join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top) != join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top) != join(top,top)
    | join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top),join(top,top)) ),[0],$fot(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_3520,plain,
    ( join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top) != join(top,top)
    | join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(top,top) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top),join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) )],[refute_0_3518,refute_0_3519]) ).

cnf(refute_0_3521,plain,
    join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(top,top),
    inference(resolve,[$cnf( $equal(join(complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),top),join(top,top)) )],[refute_0_3517,refute_0_3520]) ).

cnf(refute_0_3522,plain,
    ( join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != join(top,top)
    | join(top,top) != join(one,top)
    | join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(one,top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(one,top)) ),[0],$fot(join(top,top))]]) ).

cnf(refute_0_3523,plain,
    ( join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != join(top,top)
    | join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(one,top) ),
    inference(resolve,[$cnf( $equal(join(top,top),join(one,top)) )],[refute_0_957,refute_0_3522]) ).

cnf(refute_0_3524,plain,
    join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(one,top),
    inference(resolve,[$cnf( $equal(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(top,top)) )],[refute_0_3521,refute_0_3523]) ).

cnf(refute_0_3525,plain,
    ( join(one,top) != top
    | join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != join(one,top)
    | join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(one,top)) ),[1],$fot(top)]]) ).

cnf(refute_0_3526,plain,
    ( join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != join(one,top)
    | join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = top ),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_3525]) ).

cnf(refute_0_3527,plain,
    join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = top,
    inference(resolve,[$cnf( $equal(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(one,top)) )],[refute_0_3524,refute_0_3526]) ).

cnf(refute_0_3528,plain,
    ( composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) != join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != top
    | composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) = join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_3529,plain,
    ( composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) != join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))
    | composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) = join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),top) )],[refute_0_3527,refute_0_3528]) ).

cnf(refute_0_3530,plain,
    composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) = join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)),
    inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(join(top,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))))) )],[refute_0_3491,refute_0_3529]) ).

cnf(refute_0_3531,plain,
    meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),
    inference(subst,[],[refute_0_1032:[bind(X1,$fot(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3532,plain,
    ( join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != top
    | meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))
    | meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_3533,plain,
    ( meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))
    | meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),top) )],[refute_0_3514,refute_0_3532]) ).

cnf(refute_0_3534,plain,
    meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top),
    inference(resolve,[$cnf( $equal(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(join(zero,complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))) )],[refute_0_3531,refute_0_3533]) ).

cnf(refute_0_3535,plain,
    ( complement(top) != zero
    | meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
    | meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_3536,plain,
    ( meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
    | meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_3535]) ).

cnf(refute_0_3537,plain,
    meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero,
    inference(resolve,[$cnf( $equal(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) )],[refute_0_3534,refute_0_3536]) ).

cnf(refute_0_3538,plain,
    join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),
    introduced(tautology,[refl,[$fot(join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_3539,plain,
    ( join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != zero
    | join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(zero,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_3540,plain,
    ( meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != zero
    | join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) )],[refute_0_3538,refute_0_3539]) ).

cnf(refute_0_3541,plain,
    join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(zero,zero),
    inference(resolve,[$cnf( $equal(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),zero) )],[refute_0_3537,refute_0_3540]) ).

cnf(refute_0_3542,plain,
    join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_3543,plain,
    ( complement(top) != zero
    | join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_3544,plain,
    ( complement(top) != zero
    | join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) )],[refute_0_3542,refute_0_3543]) ).

cnf(refute_0_3545,plain,
    join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_3544]) ).

cnf(refute_0_3546,plain,
    ( join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != join(zero,zero)
    | join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(zero,zero) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),bind(Y,$fot(join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),bind(Z,$fot(join(zero,zero)))]]) ).

cnf(refute_0_3547,plain,
    ( join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != join(zero,zero)
    | join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) )],[refute_0_3545,refute_0_3546]) ).

cnf(refute_0_3548,plain,
    join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = join(zero,zero),
    inference(resolve,[$cnf( $equal(join(zero,meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(zero,zero)) )],[refute_0_3541,refute_0_3547]) ).

cnf(refute_0_3549,plain,
    ( join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != join(zero,zero)
    | join(zero,zero) != zero
    | join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),bind(Y,$fot(join(zero,zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_3550,plain,
    ( join(zero,zero) != zero
    | join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = zero ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),join(zero,zero)) )],[refute_0_3548,refute_0_3549]) ).

cnf(refute_0_3551,plain,
    join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_1547,refute_0_3550]) ).

cnf(refute_0_3552,plain,
    join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) = join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_3553,plain,
    ( join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != zero
    | join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) != join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))
    | join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_3554,plain,
    ( join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) != zero
    | join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) = zero ),
    inference(resolve,[$cnf( $equal(join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)),join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) )],[refute_0_3552,refute_0_3553]) ).

cnf(refute_0_3555,plain,
    join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) = zero,
    inference(resolve,[$cnf( $equal(join(complement(top),meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))),zero) )],[refute_0_3551,refute_0_3554]) ).

cnf(refute_0_3556,plain,
    ( composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) != join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top))
    | join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) != zero
    | composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),zero) ),[0],$fot(join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)))]]) ).

cnf(refute_0_3557,plain,
    ( composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) != join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top))
    | composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) = zero ),
    inference(resolve,[$cnf( $equal(join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)),zero) )],[refute_0_3555,refute_0_3556]) ).

cnf(refute_0_3558,plain,
    composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) = zero,
    inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),join(meet(top,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top))) )],[refute_0_3530,refute_0_3557]) ).

cnf(refute_0_3559,plain,
    ( composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) != zero
    | converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))
    | converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))) ),[0,0],$fot(zero)]]) ).

cnf(refute_0_3560,plain,
    ( converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))
    | converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) ),
    inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),zero) )],[refute_0_3558,refute_0_3559]) ).

cnf(refute_0_3561,plain,
    converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))),
    inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))) )],[refute_0_3490,refute_0_3560]) ).

cnf(refute_0_3562,plain,
    composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) = converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),
    inference(subst,[],[refute_0_16:[bind(X0,$fot(converse(skolemFOFtoCNF_X1))),bind(X1,$fot(complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3563,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) != converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))
    | converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
    | composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))))),bind(Y,$fot(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),bind(Z,$fot(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3564,plain,
    ( converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
    | composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))),converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) )],[refute_0_3562,refute_0_3563]) ).

cnf(refute_0_3565,plain,
    composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)) )],[refute_0_1913,refute_0_3564]) ).

cnf(refute_0_3566,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
    | converse(zero) != composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))
    | converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))) ),[1],$fot(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3567,plain,
    ( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))
    | converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))),composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)) )],[refute_0_3565,refute_0_3566]) ).

cnf(refute_0_3568,plain,
    converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))) )],[refute_0_3561,refute_0_3567]) ).

cnf(refute_0_3569,plain,
    ( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
    | composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) = converse(zero) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(zero))),bind(Y,$fot(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3570,plain,
    composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) = converse(zero),
    inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)) )],[refute_0_3568,refute_0_3569]) ).

cnf(refute_0_3571,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) != converse(zero)
    | join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) != complement(skolemFOFtoCNF_X1)
    | join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),complement(skolemFOFtoCNF_X1)) ),[0,1,1,0],$fot(converse(zero))]]) ).

cnf(refute_0_3572,plain,
    ( join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) != complement(skolemFOFtoCNF_X1)
    | join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),converse(zero)) )],[refute_0_3570,refute_0_3571]) ).

cnf(refute_0_3573,plain,
    join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_3489,refute_0_3572]) ).

cnf(refute_0_3574,plain,
    converse(converse(complement(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X1),
    inference(subst,[],[refute_0_0:[bind(X0,$fot(complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3575,plain,
    composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) = composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))),
    introduced(tautology,[refl,[$fot(composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))))]]) ).

cnf(refute_0_3576,plain,
    ( composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) != composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))
    | converse(converse(complement(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X1)
    | composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3577,plain,
    ( converse(converse(complement(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X1)
    | composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) )],[refute_0_3575,refute_0_3576]) ).

cnf(refute_0_3578,plain,
    composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))),
    inference(resolve,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) )],[refute_0_3574,refute_0_3577]) ).

cnf(refute_0_3579,plain,
    join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),
    introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))))]]) ).

cnf(refute_0_3580,plain,
    ( composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))
    | join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))))
    | join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))]]) ).

cnf(refute_0_3581,plain,
    ( composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))
    | join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))))) )],[refute_0_3579,refute_0_3580]) ).

cnf(refute_0_3582,plain,
    join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),
    inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) )],[refute_0_3578,refute_0_3581]) ).

cnf(refute_0_3583,plain,
    ( join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) != complement(skolemFOFtoCNF_X1)
    | join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))
    | join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),complement(skolemFOFtoCNF_X1)) ),[0],$fot(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))))]]) ).

cnf(refute_0_3584,plain,
    ( join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) != complement(skolemFOFtoCNF_X1)
    | join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))) )],[refute_0_3582,refute_0_3583]) ).

cnf(refute_0_3585,plain,
    join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_3573,refute_0_3584]) ).

cnf(refute_0_3586,plain,
    composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))),
    introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))]]) ).

cnf(refute_0_3587,plain,
    ( complement(converse(zero)) != top
    | composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))
    | composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_3588,plain,
    ( complement(converse(zero)) != top
    | composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),top) ),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) )],[refute_0_3586,refute_0_3587]) ).

cnf(refute_0_3589,plain,
    composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),top),
    inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2899,refute_0_3588]) ).

cnf(refute_0_3590,plain,
    join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),
    introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))))]]) ).

cnf(refute_0_3591,plain,
    ( composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X1),top)
    | join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))
    | join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X1),top))]]) ).

cnf(refute_0_3592,plain,
    ( composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X1),top)
    | join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))) )],[refute_0_3590,refute_0_3591]) ).

cnf(refute_0_3593,plain,
    join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X1),top)) )],[refute_0_3589,refute_0_3592]) ).

cnf(refute_0_3594,plain,
    ( join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) != complement(skolemFOFtoCNF_X1)
    | join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))
    | join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) = complement(skolemFOFtoCNF_X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),complement(skolemFOFtoCNF_X1)) ),[0],$fot(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_3595,plain,
    ( join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) != complement(skolemFOFtoCNF_X1)
    | join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) = complement(skolemFOFtoCNF_X1) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_3593,refute_0_3594]) ).

cnf(refute_0_3596,plain,
    join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) = complement(skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_3585,refute_0_3595]) ).

cnf(refute_0_3597,plain,
    ( composition(complement(skolemFOFtoCNF_X1),top) != meet(composition(complement(skolemFOFtoCNF_X1),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)))
    | join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) != complement(skolemFOFtoCNF_X1)
    | composition(complement(skolemFOFtoCNF_X1),top) = meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),top),meet(composition(complement(skolemFOFtoCNF_X1),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)))) ),[1,1],$fot(complement(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3598,plain,
    ( composition(complement(skolemFOFtoCNF_X1),top) != meet(composition(complement(skolemFOFtoCNF_X1),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)))
    | composition(complement(skolemFOFtoCNF_X1),top) = meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(skolemFOFtoCNF_X1)) )],[refute_0_3596,refute_0_3597]) ).

cnf(refute_0_3599,plain,
    composition(complement(skolemFOFtoCNF_X1),top) = meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),top),meet(composition(complement(skolemFOFtoCNF_X1),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)))) )],[refute_0_3488,refute_0_3598]) ).

cnf(refute_0_3600,plain,
    meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)) = meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(complement(skolemFOFtoCNF_X1))),bind(X_32,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_3601,plain,
    ( composition(complement(skolemFOFtoCNF_X1),top) != meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1))
    | meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)) != meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))
    | composition(complement(skolemFOFtoCNF_X1),top) = meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X1),top),meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))) ),[0],$fot(meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3602,plain,
    ( composition(complement(skolemFOFtoCNF_X1),top) != meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1))
    | composition(complement(skolemFOFtoCNF_X1),top) = meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) ),
    inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)),meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_3600,refute_0_3601]) ).

cnf(refute_0_3603,plain,
    composition(complement(skolemFOFtoCNF_X1),top) = meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),top),meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1))) )],[refute_0_3599,refute_0_3602]) ).

cnf(refute_0_3604,plain,
    ( composition(complement(skolemFOFtoCNF_X1),top) != meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))
    | meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) = composition(complement(skolemFOFtoCNF_X1),top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X1),top))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))))]]) ).

cnf(refute_0_3605,plain,
    meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) = composition(complement(skolemFOFtoCNF_X1),top),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),top),meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_3603,refute_0_3604]) ).

cnf(refute_0_3606,plain,
    ( complement(skolemFOFtoCNF_X1) != join(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))
    | meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) != composition(complement(skolemFOFtoCNF_X1),top)
    | complement(skolemFOFtoCNF_X1) = join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X1),top))]]) ).

cnf(refute_0_3607,plain,
    ( complement(skolemFOFtoCNF_X1) != join(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))
    | complement(skolemFOFtoCNF_X1) = join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),composition(complement(skolemFOFtoCNF_X1),top)) )],[refute_0_3605,refute_0_3606]) ).

cnf(refute_0_3608,plain,
    complement(skolemFOFtoCNF_X1) = join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))),
    inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))) )],[refute_0_3480,refute_0_3607]) ).

cnf(refute_0_3609,plain,
    join(composition(complement(skolemFOFtoCNF_X1),top),zero) = composition(complement(skolemFOFtoCNF_X1),top),
    inference(subst,[],[refute_0_3120:[bind(X_88,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_3610,plain,
    join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)) = top,
    inference(subst,[],[refute_0_91:[bind(X0,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3611,plain,
    composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),
    introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top))]]) ).

cnf(refute_0_3612,plain,
    ( composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) != composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)) != top
    | composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = composition(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_3613,plain,
    ( join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)) != top
    | composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = composition(top,top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top)) )],[refute_0_3611,refute_0_3612]) ).

cnf(refute_0_3614,plain,
    composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = composition(top,top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) )],[refute_0_3610,refute_0_3613]) ).

cnf(refute_0_3615,plain,
    ( composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) != composition(top,top)
    | composition(top,top) != top
    | composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3616,plain,
    ( composition(top,top) != top
    | composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = top ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),composition(top,top)) )],[refute_0_3614,refute_0_3615]) ).

cnf(refute_0_3617,plain,
    composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = top,
    inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3274,refute_0_3616]) ).

cnf(refute_0_3618,plain,
    composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = join(composition(X0,top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top)),
    inference(subst,[],[refute_0_33:[bind(X1,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),bind(X2,$fot(top))]]) ).

cnf(refute_0_3619,plain,
    composition(join(X_45,skolemFOFtoCNF_X1),top) = join(composition(X_45,top),composition(skolemFOFtoCNF_X1,top)),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(X_45)),bind(X1,$fot(skolemFOFtoCNF_X1)),bind(X2,$fot(top))]]) ).

cnf(refute_0_3620,plain,
    ( composition(join(X_45,skolemFOFtoCNF_X1),top) != join(composition(X_45,top),composition(skolemFOFtoCNF_X1,top))
    | composition(skolemFOFtoCNF_X1,top) != skolemFOFtoCNF_X1
    | composition(join(X_45,skolemFOFtoCNF_X1),top) = join(composition(X_45,top),skolemFOFtoCNF_X1) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X_45,skolemFOFtoCNF_X1),top),join(composition(X_45,top),composition(skolemFOFtoCNF_X1,top))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_3621,plain,
    ( composition(join(X_45,skolemFOFtoCNF_X1),top) != join(composition(X_45,top),composition(skolemFOFtoCNF_X1,top))
    | composition(join(X_45,skolemFOFtoCNF_X1),top) = join(composition(X_45,top),skolemFOFtoCNF_X1) ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,top),skolemFOFtoCNF_X1) )],[refute_0_1854,refute_0_3620]) ).

cnf(refute_0_3622,plain,
    composition(join(X_45,skolemFOFtoCNF_X1),top) = join(composition(X_45,top),skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(composition(join(X_45,skolemFOFtoCNF_X1),top),join(composition(X_45,top),composition(skolemFOFtoCNF_X1,top))) )],[refute_0_3619,refute_0_3621]) ).

cnf(refute_0_3623,plain,
    join(composition(X_45,top),skolemFOFtoCNF_X1) = join(skolemFOFtoCNF_X1,composition(X_45,top)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(composition(X_45,top)))]]) ).

cnf(refute_0_3624,plain,
    ( composition(join(X_45,skolemFOFtoCNF_X1),top) != join(composition(X_45,top),skolemFOFtoCNF_X1)
    | join(composition(X_45,top),skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,composition(X_45,top))
    | composition(join(X_45,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(X_45,top)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_45,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(X_45,top))) ),[0],$fot(join(composition(X_45,top),skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3625,plain,
    ( composition(join(X_45,skolemFOFtoCNF_X1),top) != join(composition(X_45,top),skolemFOFtoCNF_X1)
    | composition(join(X_45,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(X_45,top)) ),
    inference(resolve,[$cnf( $equal(join(composition(X_45,top),skolemFOFtoCNF_X1),join(skolemFOFtoCNF_X1,composition(X_45,top))) )],[refute_0_3623,refute_0_3624]) ).

cnf(refute_0_3626,plain,
    composition(join(X_45,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(X_45,top)),
    inference(resolve,[$cnf( $equal(composition(join(X_45,skolemFOFtoCNF_X1),top),join(composition(X_45,top),skolemFOFtoCNF_X1)) )],[refute_0_3622,refute_0_3625]) ).

cnf(refute_0_3627,plain,
    composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top)),
    inference(subst,[],[refute_0_3626:[bind(X_45,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3628,plain,
    composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,top)),
    inference(subst,[],[refute_0_3626:[bind(X_45,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3629,plain,
    ( composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,top))
    | composition(skolemFOFtoCNF_X1,top) != skolemFOFtoCNF_X1
    | composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,top))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_3630,plain,
    ( composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,top))
    | composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,top),skolemFOFtoCNF_X1) )],[refute_0_1854,refute_0_3629]) ).

cnf(refute_0_3631,plain,
    composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,top))) )],[refute_0_3628,refute_0_3630]) ).

cnf(refute_0_3632,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top))
    | composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)
    | composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top))) ),[1,1],$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3633,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top))
    | composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) )],[refute_0_3631,refute_0_3632]) ).

cnf(refute_0_3634,plain,
    composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top))) )],[refute_0_3627,refute_0_3633]) ).

cnf(refute_0_3635,plain,
    composition(join(X_49,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(X_49,top)),
    inference(subst,[],[refute_0_3626:[bind(X_45,$fot(X_49))]]) ).

cnf(refute_0_3636,plain,
    join(skolemFOFtoCNF_X1,X_49) = join(X_49,skolemFOFtoCNF_X1),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(X_49))]]) ).

cnf(refute_0_3637,plain,
    ( join(skolemFOFtoCNF_X1,X_49) != join(X_49,skolemFOFtoCNF_X1)
    | join(X_49,skolemFOFtoCNF_X1) = join(skolemFOFtoCNF_X1,X_49) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(join(skolemFOFtoCNF_X1,X_49))),bind(Y,$fot(join(X_49,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3638,plain,
    join(X_49,skolemFOFtoCNF_X1) = join(skolemFOFtoCNF_X1,X_49),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,X_49),join(X_49,skolemFOFtoCNF_X1)) )],[refute_0_3636,refute_0_3637]) ).

cnf(refute_0_3639,plain,
    ( composition(join(X_49,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(X_49,top))
    | join(X_49,skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,X_49)
    | composition(join(skolemFOFtoCNF_X1,X_49),top) = join(skolemFOFtoCNF_X1,composition(X_49,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X_49,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(X_49,top))) ),[0,0],$fot(join(skolemFOFtoCNF_X1,X_49))]]) ).

cnf(refute_0_3640,plain,
    ( composition(join(X_49,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(X_49,top))
    | composition(join(skolemFOFtoCNF_X1,X_49),top) = join(skolemFOFtoCNF_X1,composition(X_49,top)) ),
    inference(resolve,[$cnf( $equal(join(X_49,skolemFOFtoCNF_X1),join(skolemFOFtoCNF_X1,X_49)) )],[refute_0_3638,refute_0_3639]) ).

cnf(refute_0_3641,plain,
    composition(join(skolemFOFtoCNF_X1,X_49),top) = join(skolemFOFtoCNF_X1,composition(X_49,top)),
    inference(resolve,[$cnf( $equal(composition(join(X_49,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(X_49,top))) )],[refute_0_3635,refute_0_3640]) ).

cnf(refute_0_3642,plain,
    ( composition(join(X_45,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(X_45,top))
    | join(skolemFOFtoCNF_X1,composition(X_45,top)) = composition(join(X_45,skolemFOFtoCNF_X1),top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X_45,skolemFOFtoCNF_X1),top))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(X_45,top))))]]) ).

cnf(refute_0_3643,plain,
    join(skolemFOFtoCNF_X1,composition(X_45,top)) = composition(join(X_45,skolemFOFtoCNF_X1),top),
    inference(resolve,[$cnf( $equal(composition(join(X_45,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(X_45,top))) )],[refute_0_3626,refute_0_3642]) ).

cnf(refute_0_3644,plain,
    join(skolemFOFtoCNF_X1,composition(X_49,top)) = composition(join(X_49,skolemFOFtoCNF_X1),top),
    inference(subst,[],[refute_0_3643:[bind(X_45,$fot(X_49))]]) ).

cnf(refute_0_3645,plain,
    ( composition(join(skolemFOFtoCNF_X1,X_49),top) != join(skolemFOFtoCNF_X1,composition(X_49,top))
    | join(skolemFOFtoCNF_X1,composition(X_49,top)) != composition(join(X_49,skolemFOFtoCNF_X1),top)
    | composition(join(skolemFOFtoCNF_X1,X_49),top) = composition(join(X_49,skolemFOFtoCNF_X1),top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X1,X_49),top),composition(join(X_49,skolemFOFtoCNF_X1),top)) ),[0],$fot(join(skolemFOFtoCNF_X1,composition(X_49,top)))]]) ).

cnf(refute_0_3646,plain,
    ( composition(join(skolemFOFtoCNF_X1,X_49),top) != join(skolemFOFtoCNF_X1,composition(X_49,top))
    | composition(join(skolemFOFtoCNF_X1,X_49),top) = composition(join(X_49,skolemFOFtoCNF_X1),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(X_49,top)),composition(join(X_49,skolemFOFtoCNF_X1),top)) )],[refute_0_3644,refute_0_3645]) ).

cnf(refute_0_3647,plain,
    composition(join(skolemFOFtoCNF_X1,X_49),top) = composition(join(X_49,skolemFOFtoCNF_X1),top),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,X_49),top),join(skolemFOFtoCNF_X1,composition(X_49,top))) )],[refute_0_3641,refute_0_3646]) ).

cnf(refute_0_3648,plain,
    ( composition(join(skolemFOFtoCNF_X1,X_49),top) != composition(join(X_49,skolemFOFtoCNF_X1),top)
    | composition(join(X_49,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X_49),top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(skolemFOFtoCNF_X1,X_49),top))),bind(Y,$fot(composition(join(X_49,skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_3649,plain,
    composition(join(X_49,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X_49),top),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,X_49),top),composition(join(X_49,skolemFOFtoCNF_X1),top)) )],[refute_0_3647,refute_0_3648]) ).

cnf(refute_0_3650,plain,
    composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top),
    inference(subst,[],[refute_0_3649:[bind(X_49,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3651,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top)
    | composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) ),[0],$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top))]]) ).

cnf(refute_0_3652,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_3650,refute_0_3651]) ).

cnf(refute_0_3653,plain,
    composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) )],[refute_0_3634,refute_0_3652]) ).

cnf(refute_0_3654,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) != join(composition(X0,top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top))
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))
    | composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),join(composition(X0,top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top))) ),[1,1],$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3655,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) != join(composition(X0,top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top))
    | composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) )],[refute_0_3653,refute_0_3654]) ).

cnf(refute_0_3656,plain,
    composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),
    inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),join(composition(X0,top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top))) )],[refute_0_3618,refute_0_3655]) ).

cnf(refute_0_3657,plain,
    composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),
    inference(subst,[],[refute_0_3649:[bind(X_49,$fot(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3658,plain,
    join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) = composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top),
    inference(subst,[],[refute_0_3643:[bind(X_45,$fot(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3659,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) != composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top)
    | join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)))),bind(Y,$fot(composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)))]]) ).

cnf(refute_0_3660,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)),composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top)) )],[refute_0_3658,refute_0_3659]) ).

cnf(refute_0_3661,plain,
    join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_3657,refute_0_3660]) ).

cnf(refute_0_3662,plain,
    composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),
    inference(subst,[],[refute_0_3649:[bind(X_49,$fot(join(X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3663,plain,
    join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) = composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),
    inference(subst,[],[refute_0_3643:[bind(X_45,$fot(join(X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3664,plain,
    ( composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) != composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)
    | join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)))),bind(Y,$fot(composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)))]]) ).

cnf(refute_0_3665,plain,
    ( composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)),composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)) )],[refute_0_3663,refute_0_3664]) ).

cnf(refute_0_3666,plain,
    join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_3662,refute_0_3665]) ).

cnf(refute_0_3667,plain,
    join(skolemFOFtoCNF_X1,composition(X0,top)) = composition(join(X0,skolemFOFtoCNF_X1),top),
    inference(subst,[],[refute_0_3643:[bind(X_45,$fot(X0))]]) ).

cnf(refute_0_3668,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),
    introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))))]]) ).

cnf(refute_0_3669,plain,
    ( join(skolemFOFtoCNF_X1,composition(X0,top)) != composition(join(X0,skolemFOFtoCNF_X1),top)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))) ),[1,1],$fot(composition(join(X0,skolemFOFtoCNF_X1),top))]]) ).

cnf(refute_0_3670,plain,
    ( join(skolemFOFtoCNF_X1,composition(X0,top)) != composition(join(X0,skolemFOFtoCNF_X1),top)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))) )],[refute_0_3668,refute_0_3669]) ).

cnf(refute_0_3671,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(X0,top)),composition(join(X0,skolemFOFtoCNF_X1),top)) )],[refute_0_3667,refute_0_3670]) ).

cnf(refute_0_3672,plain,
    ( join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) != join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top))
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)))]]) ).

cnf(refute_0_3673,plain,
    ( join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top))) )],[refute_0_3671,refute_0_3672]) ).

cnf(refute_0_3674,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)),composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_3666,refute_0_3673]) ).

cnf(refute_0_3675,plain,
    join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),
    inference(subst,[],[refute_0_351:[bind(X_50,$fot(skolemFOFtoCNF_X1)),bind(X_51,$fot(composition(X0,top))),bind(X_52,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3676,plain,
    join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(skolemFOFtoCNF_X1)),bind(X_51,$fot(composition(X0,top))),bind(X_52,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3677,plain,
    ( join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1))
    | join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))
    | join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)))),bind(Z,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))))]]) ).

cnf(refute_0_3678,plain,
    ( join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))
    | join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1))) )],[refute_0_3676,refute_0_3677]) ).

cnf(refute_0_3679,plain,
    join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))) )],[refute_0_3675,refute_0_3678]) ).

cnf(refute_0_3680,plain,
    ( join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
    | join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)))]]) ).

cnf(refute_0_3681,plain,
    ( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
    | join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))) )],[refute_0_3679,refute_0_3680]) ).

cnf(refute_0_3682,plain,
    join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_3674,refute_0_3681]) ).

cnf(refute_0_3683,plain,
    join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),
    introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3684,plain,
    ( join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))
    | join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) ),[1,1],$fot(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top))]]) ).

cnf(refute_0_3685,plain,
    ( join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) )],[refute_0_3683,refute_0_3684]) ).

cnf(refute_0_3686,plain,
    join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)),
    inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_3682,refute_0_3685]) ).

cnf(refute_0_3687,plain,
    ( join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top))
    | join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)))]]) ).

cnf(refute_0_3688,plain,
    ( join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top))) )],[refute_0_3686,refute_0_3687]) ).

cnf(refute_0_3689,plain,
    join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_3661,refute_0_3688]) ).

cnf(refute_0_3690,plain,
    join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(skolemFOFtoCNF_X1)),bind(X_51,$fot(composition(X0,top))),bind(X_52,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3691,plain,
    ( join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))
    | join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)))]]) ).

cnf(refute_0_3692,plain,
    ( join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) )],[refute_0_3690,refute_0_3691]) ).

cnf(refute_0_3693,plain,
    join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_3689,refute_0_3692]) ).

cnf(refute_0_3694,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) != join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))
    | join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) ),[0],$fot(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3695,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) != join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))
    | composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_3693,refute_0_3694]) ).

cnf(refute_0_3696,plain,
    composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),
    inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) )],[refute_0_3656,refute_0_3695]) ).

cnf(refute_0_3697,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) = complement(complement(skolemFOFtoCNF_X1)),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(skolemFOFtoCNF_X1))),bind(X1,$fot(complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3698,plain,
    ( composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) != zero
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) != complement(complement(skolemFOFtoCNF_X1))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = complement(complement(skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),complement(complement(skolemFOFtoCNF_X1))) ),[0,1,1,0],$fot(zero)]]) ).

cnf(refute_0_3699,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) != complement(complement(skolemFOFtoCNF_X1))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = complement(complement(skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),zero) )],[refute_0_3558,refute_0_3698]) ).

cnf(refute_0_3700,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = complement(complement(skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),complement(complement(skolemFOFtoCNF_X1))) )],[refute_0_3697,refute_0_3699]) ).

cnf(refute_0_3701,plain,
    converse(converse(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1,
    inference(subst,[],[refute_0_0:[bind(X0,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3702,plain,
    composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) = composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)),
    introduced(tautology,[refl,[$fot(composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))]]) ).

cnf(refute_0_3703,plain,
    ( composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) != composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))
    | converse(converse(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) = composition(skolemFOFtoCNF_X1,complement(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_3704,plain,
    ( converse(converse(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) = composition(skolemFOFtoCNF_X1,complement(zero)) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) )],[refute_0_3702,refute_0_3703]) ).

cnf(refute_0_3705,plain,
    composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) = composition(skolemFOFtoCNF_X1,complement(zero)),
    inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_3701,refute_0_3704]) ).

cnf(refute_0_3706,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))))]]) ).

cnf(refute_0_3707,plain,
    ( composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) != composition(skolemFOFtoCNF_X1,complement(zero))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))) ),[1,1],$fot(composition(skolemFOFtoCNF_X1,complement(zero)))]]) ).

cnf(refute_0_3708,plain,
    ( composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) != composition(skolemFOFtoCNF_X1,complement(zero))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))) )],[refute_0_3706,refute_0_3707]) ).

cnf(refute_0_3709,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),
    inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)),composition(skolemFOFtoCNF_X1,complement(zero))) )],[refute_0_3705,refute_0_3708]) ).

cnf(refute_0_3710,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != complement(complement(skolemFOFtoCNF_X1))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero)))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) = complement(complement(skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),complement(complement(skolemFOFtoCNF_X1))) ),[0],$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))))]]) ).

cnf(refute_0_3711,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != complement(complement(skolemFOFtoCNF_X1))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) = complement(complement(skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero)))) )],[refute_0_3709,refute_0_3710]) ).

cnf(refute_0_3712,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) = complement(complement(skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),complement(complement(skolemFOFtoCNF_X1))) )],[refute_0_3700,refute_0_3711]) ).

cnf(refute_0_3713,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) = join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(complement(complement(skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3714,plain,
    composition(skolemFOFtoCNF_X1,complement(zero)) = composition(skolemFOFtoCNF_X1,complement(zero)),
    introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X1,complement(zero)))]]) ).

cnf(refute_0_3715,plain,
    ( complement(zero) != top
    | composition(skolemFOFtoCNF_X1,complement(zero)) != composition(skolemFOFtoCNF_X1,complement(zero))
    | composition(skolemFOFtoCNF_X1,complement(zero)) = composition(skolemFOFtoCNF_X1,top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X1,complement(zero)),composition(skolemFOFtoCNF_X1,complement(zero))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_3716,plain,
    ( complement(zero) != top
    | composition(skolemFOFtoCNF_X1,complement(zero)) = composition(skolemFOFtoCNF_X1,top) ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,complement(zero)),composition(skolemFOFtoCNF_X1,complement(zero))) )],[refute_0_3714,refute_0_3715]) ).

cnf(refute_0_3717,plain,
    composition(skolemFOFtoCNF_X1,complement(zero)) = composition(skolemFOFtoCNF_X1,top),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_2924,refute_0_3716]) ).

cnf(refute_0_3718,plain,
    ( composition(skolemFOFtoCNF_X1,complement(zero)) != composition(skolemFOFtoCNF_X1,top)
    | composition(skolemFOFtoCNF_X1,top) != skolemFOFtoCNF_X1
    | composition(skolemFOFtoCNF_X1,complement(zero)) = skolemFOFtoCNF_X1 ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(skolemFOFtoCNF_X1,complement(zero)))),bind(Y,$fot(composition(skolemFOFtoCNF_X1,top))),bind(Z,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3719,plain,
    ( composition(skolemFOFtoCNF_X1,top) != skolemFOFtoCNF_X1
    | composition(skolemFOFtoCNF_X1,complement(zero)) = skolemFOFtoCNF_X1 ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,complement(zero)),composition(skolemFOFtoCNF_X1,top)) )],[refute_0_3717,refute_0_3718]) ).

cnf(refute_0_3720,plain,
    composition(skolemFOFtoCNF_X1,complement(zero)) = skolemFOFtoCNF_X1,
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,top),skolemFOFtoCNF_X1) )],[refute_0_1854,refute_0_3719]) ).

cnf(refute_0_3721,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) = join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))))]]) ).

cnf(refute_0_3722,plain,
    ( composition(skolemFOFtoCNF_X1,complement(zero)) != skolemFOFtoCNF_X1
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) != join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero)))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) = join(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero)))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_3723,plain,
    ( composition(skolemFOFtoCNF_X1,complement(zero)) != skolemFOFtoCNF_X1
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) = join(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero)))) )],[refute_0_3721,refute_0_3722]) ).

cnf(refute_0_3724,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) = join(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,complement(zero)),skolemFOFtoCNF_X1) )],[refute_0_3720,refute_0_3723]) ).

cnf(refute_0_3725,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) != join(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
    | join(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1)))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) = join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))))),bind(Y,$fot(join(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))),bind(Z,$fot(join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_3726,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1)))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) = join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),join(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)) )],[refute_0_3724,refute_0_3725]) ).

cnf(refute_0_3727,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) = join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1)))) )],[refute_0_3713,refute_0_3726]) ).

cnf(refute_0_3728,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) != complement(complement(skolemFOFtoCNF_X1))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) != join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1)))
    | join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) = complement(complement(skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),complement(complement(skolemFOFtoCNF_X1))) ),[0],$fot(join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3729,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) != complement(complement(skolemFOFtoCNF_X1))
    | join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) = complement(complement(skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1)))) )],[refute_0_3727,refute_0_3728]) ).

cnf(refute_0_3730,plain,
    join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) = complement(complement(skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),complement(complement(skolemFOFtoCNF_X1))) )],[refute_0_3712,refute_0_3729]) ).

cnf(refute_0_3731,plain,
    complement(complement(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1,
    inference(subst,[],[refute_0_2776:[bind(X_114,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3732,plain,
    join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))),
    introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3733,plain,
    ( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1)))
    | join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1)))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_3734,plain,
    ( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1)))) )],[refute_0_3732,refute_0_3733]) ).

cnf(refute_0_3735,plain,
    join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_3731,refute_0_3734]) ).

cnf(refute_0_3736,plain,
    ( join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) != complement(complement(skolemFOFtoCNF_X1))
    | join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)
    | join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) = complement(complement(skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))),complement(complement(skolemFOFtoCNF_X1))) ),[0],$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3737,plain,
    ( join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) != complement(complement(skolemFOFtoCNF_X1))
    | join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) = complement(complement(skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) )],[refute_0_3735,refute_0_3736]) ).

cnf(refute_0_3738,plain,
    ( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) != complement(complement(skolemFOFtoCNF_X1))
    | join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1 ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),complement(complement(skolemFOFtoCNF_X1))) ),[1],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_3739,plain,
    ( join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) != complement(complement(skolemFOFtoCNF_X1))
    | join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1 ),
    inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_3731,refute_0_3738]) ).

cnf(refute_0_3740,plain,
    ( join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))) != complement(complement(skolemFOFtoCNF_X1))
    | join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1 ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),complement(complement(skolemFOFtoCNF_X1))) )],[refute_0_3737,refute_0_3739]) ).

cnf(refute_0_3741,plain,
    join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1,
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(complement(skolemFOFtoCNF_X1))),complement(complement(skolemFOFtoCNF_X1))) )],[refute_0_3730,refute_0_3740]) ).

cnf(refute_0_3742,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),X2),
    inference(subst,[],[refute_0_65:[bind(X0,$fot(complement(complement(skolemFOFtoCNF_X1)))),bind(X1,$fot(composition(skolemFOFtoCNF_X1,complement(zero))))]]) ).

cnf(refute_0_3743,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))) != complement(complement(skolemFOFtoCNF_X1))
    | join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),X2)
    | join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(complement(complement(skolemFOFtoCNF_X1)),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),X2)) ),[1,0],$fot(complement(complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3744,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),X2)
    | join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(complement(complement(skolemFOFtoCNF_X1)),X2) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),complement(complement(skolemFOFtoCNF_X1))) )],[refute_0_3712,refute_0_3743]) ).

cnf(refute_0_3745,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(complement(complement(skolemFOFtoCNF_X1)),X2),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(join(complement(complement(skolemFOFtoCNF_X1)),composition(skolemFOFtoCNF_X1,complement(zero))),X2)) )],[refute_0_3742,refute_0_3744]) ).

cnf(refute_0_3746,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,X2)) = join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)),
    inference(subst,[],[refute_0_417:[bind(X_50,$fot(skolemFOFtoCNF_X1)),bind(X_51,$fot(complement(complement(skolemFOFtoCNF_X1)))),bind(X_52,$fot(X2))]]) ).

cnf(refute_0_3747,plain,
    join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) = join(composition(skolemFOFtoCNF_X1,complement(zero)),X2),
    introduced(tautology,[refl,[$fot(join(composition(skolemFOFtoCNF_X1,complement(zero)),X2))]]) ).

cnf(refute_0_3748,plain,
    ( composition(skolemFOFtoCNF_X1,complement(zero)) != skolemFOFtoCNF_X1
    | join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) != join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)
    | join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) = join(skolemFOFtoCNF_X1,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X1,complement(zero)),X2),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_3749,plain,
    ( composition(skolemFOFtoCNF_X1,complement(zero)) != skolemFOFtoCNF_X1
    | join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) = join(skolemFOFtoCNF_X1,X2) ),
    inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X1,complement(zero)),X2),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) )],[refute_0_3747,refute_0_3748]) ).

cnf(refute_0_3750,plain,
    join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) = join(skolemFOFtoCNF_X1,X2),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,complement(zero)),skolemFOFtoCNF_X1) )],[refute_0_3720,refute_0_3749]) ).

cnf(refute_0_3751,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),
    introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)))]]) ).

cnf(refute_0_3752,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2))
    | join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) != join(skolemFOFtoCNF_X1,X2)
    | join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(complement(complement(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2))) ),[1,1],$fot(join(skolemFOFtoCNF_X1,X2))]]) ).

cnf(refute_0_3753,plain,
    ( join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) != join(skolemFOFtoCNF_X1,X2)
    | join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(complement(complement(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,X2)) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2))) )],[refute_0_3751,refute_0_3752]) ).

cnf(refute_0_3754,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(complement(complement(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,X2)),
    inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X1,complement(zero)),X2),join(skolemFOFtoCNF_X1,X2)) )],[refute_0_3750,refute_0_3753]) ).

cnf(refute_0_3755,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(complement(complement(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,X2))
    | join(complement(complement(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,X2)) != join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2))
    | join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)))),bind(Y,$fot(join(complement(complement(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,X2)))),bind(Z,$fot(join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2))))]]) ).

cnf(refute_0_3756,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,X2)) != join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2))
    | join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(complement(complement(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,X2))) )],[refute_0_3754,refute_0_3755]) ).

cnf(refute_0_3757,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,X2)),join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2))) )],[refute_0_3746,refute_0_3756]) ).

cnf(refute_0_3758,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(complement(complement(skolemFOFtoCNF_X1)),X2)
    | join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2))
    | join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) = join(complement(complement(skolemFOFtoCNF_X1)),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(complement(complement(skolemFOFtoCNF_X1)),X2)) ),[0],$fot(join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)))]]) ).

cnf(refute_0_3759,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(complement(complement(skolemFOFtoCNF_X1)),X2)
    | join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) = join(complement(complement(skolemFOFtoCNF_X1)),X2) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2))) )],[refute_0_3757,refute_0_3758]) ).

cnf(refute_0_3760,plain,
    join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) = join(complement(complement(skolemFOFtoCNF_X1)),X2),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(complement(complement(skolemFOFtoCNF_X1)),X2)) )],[refute_0_3745,refute_0_3759]) ).

cnf(refute_0_3761,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),X2) = join(complement(complement(skolemFOFtoCNF_X1)),X2),
    introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X1)),X2))]]) ).

cnf(refute_0_3762,plain,
    ( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | join(complement(complement(skolemFOFtoCNF_X1)),X2) != join(complement(complement(skolemFOFtoCNF_X1)),X2)
    | join(complement(complement(skolemFOFtoCNF_X1)),X2) = join(skolemFOFtoCNF_X1,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),X2),join(complement(complement(skolemFOFtoCNF_X1)),X2)) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_3763,plain,
    ( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | join(complement(complement(skolemFOFtoCNF_X1)),X2) = join(skolemFOFtoCNF_X1,X2) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),X2),join(complement(complement(skolemFOFtoCNF_X1)),X2)) )],[refute_0_3761,refute_0_3762]) ).

cnf(refute_0_3764,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),X2) = join(skolemFOFtoCNF_X1,X2),
    inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_3731,refute_0_3763]) ).

cnf(refute_0_3765,plain,
    join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) = join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)),
    introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)))]]) ).

cnf(refute_0_3766,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),X2) != join(skolemFOFtoCNF_X1,X2)
    | join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) != join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2))
    | join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)),join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2))) ),[1,1],$fot(join(skolemFOFtoCNF_X1,X2))]]) ).

cnf(refute_0_3767,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),X2) != join(skolemFOFtoCNF_X1,X2)
    | join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)),join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2))) )],[refute_0_3765,refute_0_3766]) ).

cnf(refute_0_3768,plain,
    join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),X2),join(skolemFOFtoCNF_X1,X2)) )],[refute_0_3764,refute_0_3767]) ).

cnf(refute_0_3769,plain,
    ( join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) != join(complement(complement(skolemFOFtoCNF_X1)),X2)
    | join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2))
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) = join(complement(complement(skolemFOFtoCNF_X1)),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)),join(complement(complement(skolemFOFtoCNF_X1)),X2)) ),[0],$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)))]]) ).

cnf(refute_0_3770,plain,
    ( join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) != join(complement(complement(skolemFOFtoCNF_X1)),X2)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) = join(complement(complement(skolemFOFtoCNF_X1)),X2) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2))) )],[refute_0_3768,refute_0_3769]) ).

cnf(refute_0_3771,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),X2) != join(skolemFOFtoCNF_X1,X2)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) != join(complement(complement(skolemFOFtoCNF_X1)),X2)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) = join(skolemFOFtoCNF_X1,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)),join(complement(complement(skolemFOFtoCNF_X1)),X2)) ),[1],$fot(join(skolemFOFtoCNF_X1,X2))]]) ).

cnf(refute_0_3772,plain,
    ( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) != join(complement(complement(skolemFOFtoCNF_X1)),X2)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) = join(skolemFOFtoCNF_X1,X2) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),X2),join(skolemFOFtoCNF_X1,X2)) )],[refute_0_3764,refute_0_3771]) ).

cnf(refute_0_3773,plain,
    ( join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)) != join(complement(complement(skolemFOFtoCNF_X1)),X2)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) = join(skolemFOFtoCNF_X1,X2) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)),join(complement(complement(skolemFOFtoCNF_X1)),X2)) )],[refute_0_3770,refute_0_3772]) ).

cnf(refute_0_3774,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) = join(skolemFOFtoCNF_X1,X2),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(complement(complement(skolemFOFtoCNF_X1)),X2)),join(complement(complement(skolemFOFtoCNF_X1)),X2)) )],[refute_0_3760,refute_0_3773]) ).

cnf(refute_0_3775,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),
    inference(subst,[],[refute_0_3774:[bind(X2,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3776,plain,
    ( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)
    | join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) != skolemFOFtoCNF_X1
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1 ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),bind(Z,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3777,plain,
    ( join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) != skolemFOFtoCNF_X1
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1 ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) )],[refute_0_3775,refute_0_3776]) ).

cnf(refute_0_3778,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1,
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1) )],[refute_0_3741,refute_0_3777]) ).

cnf(refute_0_3779,plain,
    join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),
    introduced(tautology,[refl,[$fot(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3780,plain,
    ( join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(X0,skolemFOFtoCNF_X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_3781,plain,
    ( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(X0,skolemFOFtoCNF_X1) ),
    inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) )],[refute_0_3779,refute_0_3780]) ).

cnf(refute_0_3782,plain,
    join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(X0,skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_3778,refute_0_3781]) ).

cnf(refute_0_3783,plain,
    composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),
    introduced(tautology,[refl,[$fot(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top))]]) ).

cnf(refute_0_3784,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) != composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top)
    | join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != join(X0,skolemFOFtoCNF_X1)
    | composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = composition(join(X0,skolemFOFtoCNF_X1),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top)) ),[1,0],$fot(join(X0,skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3785,plain,
    ( join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != join(X0,skolemFOFtoCNF_X1)
    | composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = composition(join(X0,skolemFOFtoCNF_X1),top) ),
    inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top)) )],[refute_0_3783,refute_0_3784]) ).

cnf(refute_0_3786,plain,
    composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = composition(join(X0,skolemFOFtoCNF_X1),top),
    inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(X0,skolemFOFtoCNF_X1)) )],[refute_0_3782,refute_0_3785]) ).

cnf(refute_0_3787,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) != composition(join(X0,skolemFOFtoCNF_X1),top)
    | composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) ),[0],$fot(composition(join(X0,skolemFOFtoCNF_X1),top))]]) ).

cnf(refute_0_3788,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
    inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),composition(join(X0,skolemFOFtoCNF_X1),top)) )],[refute_0_3786,refute_0_3787]) ).

cnf(refute_0_3789,plain,
    composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = join(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),composition(X1,top)),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),bind(X2,$fot(top))]]) ).

cnf(refute_0_3790,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != join(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),composition(X1,top))
    | composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)
    | composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),join(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),composition(X1,top))) ),[1,0],$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3791,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != join(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),composition(X1,top))
    | composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) )],[refute_0_3631,refute_0_3790]) ).

cnf(refute_0_3792,plain,
    composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),join(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),composition(X1,top))) )],[refute_0_3789,refute_0_3791]) ).

cnf(refute_0_3793,plain,
    join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(skolemFOFtoCNF_X1)),bind(X2,$fot(X1))]]) ).

cnf(refute_0_3794,plain,
    composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),
    introduced(tautology,[refl,[$fot(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top))]]) ).

cnf(refute_0_3795,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top)
    | join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1))
    | composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)))]]) ).

cnf(refute_0_3796,plain,
    ( join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1))
    | composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) ),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top)) )],[refute_0_3794,refute_0_3795]) ).

cnf(refute_0_3797,plain,
    composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),
    inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1))) )],[refute_0_3793,refute_0_3796]) ).

cnf(refute_0_3798,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top)
    | composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))) ),[0],$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top))]]) ).

cnf(refute_0_3799,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) ),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top)) )],[refute_0_3797,refute_0_3798]) ).

cnf(refute_0_3800,plain,
    composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
    inference(subst,[],[refute_0_3649:[bind(X_49,$fot(join(X1,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3801,plain,
    join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) = composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),
    inference(subst,[],[refute_0_3643:[bind(X_45,$fot(join(X1,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3802,plain,
    ( composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) != composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)
    | join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)))),bind(Y,$fot(composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)))]]) ).

cnf(refute_0_3803,plain,
    ( composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)),composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)) )],[refute_0_3801,refute_0_3802]) ).

cnf(refute_0_3804,plain,
    join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_3800,refute_0_3803]) ).

cnf(refute_0_3805,plain,
    join(skolemFOFtoCNF_X1,composition(X1,top)) = composition(join(X1,skolemFOFtoCNF_X1),top),
    inference(subst,[],[refute_0_3643:[bind(X_45,$fot(X1))]]) ).

cnf(refute_0_3806,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),
    introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))))]]) ).

cnf(refute_0_3807,plain,
    ( join(skolemFOFtoCNF_X1,composition(X1,top)) != composition(join(X1,skolemFOFtoCNF_X1),top)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top)))
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top)))) ),[1,1],$fot(composition(join(X1,skolemFOFtoCNF_X1),top))]]) ).

cnf(refute_0_3808,plain,
    ( join(skolemFOFtoCNF_X1,composition(X1,top)) != composition(join(X1,skolemFOFtoCNF_X1),top)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top)))) )],[refute_0_3806,refute_0_3807]) ).

cnf(refute_0_3809,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(X1,top)),composition(join(X1,skolemFOFtoCNF_X1),top)) )],[refute_0_3805,refute_0_3808]) ).

cnf(refute_0_3810,plain,
    ( join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) != join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top))
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)))]]) ).

cnf(refute_0_3811,plain,
    ( join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top))) )],[refute_0_3809,refute_0_3810]) ).

cnf(refute_0_3812,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_3804,refute_0_3811]) ).

cnf(refute_0_3813,plain,
    join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),
    inference(subst,[],[refute_0_139:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(skolemFOFtoCNF_X1)),bind(X2,$fot(composition(X1,top)))]]) ).

cnf(refute_0_3814,plain,
    ( join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top)))
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
    | join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)))]]) ).

cnf(refute_0_3815,plain,
    ( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
    | join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top)))) )],[refute_0_3813,refute_0_3814]) ).

cnf(refute_0_3816,plain,
    join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_3812,refute_0_3815]) ).

cnf(refute_0_3817,plain,
    ( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))
    | join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) ),[0],$fot(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)))]]) ).

cnf(refute_0_3818,plain,
    ( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_3816,refute_0_3817]) ).

cnf(refute_0_3819,plain,
    ( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))) )],[refute_0_3799,refute_0_3818]) ).

cnf(refute_0_3820,plain,
    composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))) )],[refute_0_3792,refute_0_3819]) ).

cnf(refute_0_3821,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)) = join(skolemFOFtoCNF_X1,X1),
    inference(subst,[],[refute_0_3774:[bind(X2,$fot(X1))]]) ).

cnf(refute_0_3822,plain,
    composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),
    introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top))]]) ).

cnf(refute_0_3823,plain,
    ( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)) != join(skolemFOFtoCNF_X1,X1)
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,X1),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X1,X1))]]) ).

cnf(refute_0_3824,plain,
    ( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)) != join(skolemFOFtoCNF_X1,X1)
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,X1),top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top)) )],[refute_0_3822,refute_0_3823]) ).

cnf(refute_0_3825,plain,
    composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,X1),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),join(skolemFOFtoCNF_X1,X1)) )],[refute_0_3821,refute_0_3824]) ).

cnf(refute_0_3826,plain,
    ( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != composition(join(skolemFOFtoCNF_X1,X1),top)
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
    | composition(join(skolemFOFtoCNF_X1,X1),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) ),[0],$fot(composition(join(skolemFOFtoCNF_X1,X1),top))]]) ).

cnf(refute_0_3827,plain,
    ( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
    | composition(join(skolemFOFtoCNF_X1,X1),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,X1),top)) )],[refute_0_3825,refute_0_3826]) ).

cnf(refute_0_3828,plain,
    composition(join(skolemFOFtoCNF_X1,X1),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_3820,refute_0_3827]) ).

cnf(refute_0_3829,plain,
    ( composition(join(skolemFOFtoCNF_X1,X1),top) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
    | composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) = composition(join(skolemFOFtoCNF_X1,X1),top) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(skolemFOFtoCNF_X1,X1),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)))]]) ).

cnf(refute_0_3830,plain,
    composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) = composition(join(skolemFOFtoCNF_X1,X1),top),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,X1),top),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_3828,refute_0_3829]) ).

cnf(refute_0_3831,plain,
    composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) = composition(join(skolemFOFtoCNF_X1,X0),top),
    inference(subst,[],[refute_0_3830:[bind(X1,$fot(X0))]]) ).

cnf(refute_0_3832,plain,
    join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),
    inference(subst,[],[refute_0_3774:[bind(X2,$fot(join(X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3833,plain,
    composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),
    introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top))]]) ).

cnf(refute_0_3834,plain,
    ( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3835,plain,
    ( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_3833,refute_0_3834]) ).

cnf(refute_0_3836,plain,
    composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))) )],[refute_0_3832,refute_0_3835]) ).

cnf(refute_0_3837,plain,
    ( composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) != composition(join(skolemFOFtoCNF_X1,X0),top)
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) = composition(join(skolemFOFtoCNF_X1,X0),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,X0),top)))]]) ).

cnf(refute_0_3838,plain,
    ( composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) != composition(join(skolemFOFtoCNF_X1,X0),top)
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) = composition(join(skolemFOFtoCNF_X1,X0),top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_3836,refute_0_3837]) ).

cnf(refute_0_3839,plain,
    composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) = composition(join(skolemFOFtoCNF_X1,X0),top),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),composition(join(skolemFOFtoCNF_X1,X0),top)) )],[refute_0_3831,refute_0_3838]) ).

cnf(refute_0_3840,plain,
    ( composition(join(X0,skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) != composition(join(skolemFOFtoCNF_X1,X0),top)
    | composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X0),top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,X0),top)) ),[0],$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top))]]) ).

cnf(refute_0_3841,plain,
    ( composition(join(X0,skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X0),top) ),
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),composition(join(skolemFOFtoCNF_X1,X0),top)) )],[refute_0_3839,refute_0_3840]) ).

cnf(refute_0_3842,plain,
    ( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
    | composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X0),top) ),
    inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_3788,refute_0_3841]) ).

cnf(refute_0_3843,plain,
    composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X0),top),
    inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_3696,refute_0_3842]) ).

cnf(refute_0_3844,plain,
    composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),
    inference(subst,[],[refute_0_3843:[bind(X0,$fot(complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3845,plain,
    ( composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top)
    | composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) != top
    | composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3846,plain,
    ( composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) != top
    | composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = top ),
    inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top)) )],[refute_0_3844,refute_0_3845]) ).

cnf(refute_0_3847,plain,
    composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = top,
    inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),top) )],[refute_0_3617,refute_0_3846]) ).

cnf(refute_0_3848,plain,
    join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) = composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),
    inference(subst,[],[refute_0_3643:[bind(X_45,$fot(complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3849,plain,
    ( composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != top
    | join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) != composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)
    | join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)))),bind(Y,$fot(composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3850,plain,
    ( composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != top
    | join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) = top ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)),composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)) )],[refute_0_3848,refute_0_3849]) ).

cnf(refute_0_3851,plain,
    join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) = top,
    inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),top) )],[refute_0_3847,refute_0_3850]) ).

cnf(refute_0_3852,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),
    introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_3853,plain,
    ( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) != join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).

cnf(refute_0_3854,plain,
    ( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_3852,refute_0_3853]) ).

cnf(refute_0_3855,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)),
    inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_3731,refute_0_3854]) ).

cnf(refute_0_3856,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) != join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top))
    | join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) != top
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3857,plain,
    ( join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) != top
    | join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = top ),
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_3855,refute_0_3856]) ).

cnf(refute_0_3858,plain,
    join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = top,
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)),top) )],[refute_0_3851,refute_0_3857]) ).

cnf(refute_0_3859,plain,
    join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))) = join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(complement(skolemFOFtoCNF_X1)))),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_3860,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) != top
    | join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))) != join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))
    | join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))),bind(Y,$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_3861,plain,
    ( join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) != top
    | join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))) = top ),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))),join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_3859,refute_0_3860]) ).

cnf(refute_0_3862,plain,
    join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))) = top,
    inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),top) )],[refute_0_3858,refute_0_3861]) ).

cnf(refute_0_3863,plain,
    complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) = complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))),
    introduced(tautology,[refl,[$fot(complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_3864,plain,
    ( complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) != complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))
    | join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))) != top
    | complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_3865,plain,
    ( join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))) != top
    | complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) )],[refute_0_3863,refute_0_3864]) ).

cnf(refute_0_3866,plain,
    complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) = complement(top),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))),top) )],[refute_0_3862,refute_0_3865]) ).

cnf(refute_0_3867,plain,
    ( complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) != complement(top)
    | complement(top) != zero
    | complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_3868,plain,
    ( complement(top) != zero
    | complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))),complement(top)) )],[refute_0_3866,refute_0_3867]) ).

cnf(refute_0_3869,plain,
    complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_3868]) ).

cnf(refute_0_3870,plain,
    join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) = join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))),
    introduced(tautology,[refl,[$fot(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))))]]) ).

cnf(refute_0_3871,plain,
    ( complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) != zero
    | join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) != join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))
    | join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) = join(composition(complement(skolemFOFtoCNF_X1),top),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))),join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_3872,plain,
    ( complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))) != zero
    | join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) = join(composition(complement(skolemFOFtoCNF_X1),top),zero) ),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))),join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))) )],[refute_0_3870,refute_0_3871]) ).

cnf(refute_0_3873,plain,
    join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) = join(composition(complement(skolemFOFtoCNF_X1),top),zero),
    inference(resolve,[$cnf( $equal(complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))),zero) )],[refute_0_3869,refute_0_3872]) ).

cnf(refute_0_3874,plain,
    ( join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) != join(composition(complement(skolemFOFtoCNF_X1),top),zero)
    | join(composition(complement(skolemFOFtoCNF_X1),top),zero) != composition(complement(skolemFOFtoCNF_X1),top)
    | join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) = composition(complement(skolemFOFtoCNF_X1),top) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))))),bind(Y,$fot(join(composition(complement(skolemFOFtoCNF_X1),top),zero))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_3875,plain,
    ( join(composition(complement(skolemFOFtoCNF_X1),top),zero) != composition(complement(skolemFOFtoCNF_X1),top)
    | join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) = composition(complement(skolemFOFtoCNF_X1),top) ),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))),join(composition(complement(skolemFOFtoCNF_X1),top),zero)) )],[refute_0_3873,refute_0_3874]) ).

cnf(refute_0_3876,plain,
    join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) = composition(complement(skolemFOFtoCNF_X1),top),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),zero),composition(complement(skolemFOFtoCNF_X1),top)) )],[refute_0_3609,refute_0_3875]) ).

cnf(refute_0_3877,plain,
    ( complement(skolemFOFtoCNF_X1) != join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))
    | join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))) != composition(complement(skolemFOFtoCNF_X1),top)
    | complement(skolemFOFtoCNF_X1) = composition(complement(skolemFOFtoCNF_X1),top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) ),[0],$fot(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))))]]) ).

cnf(refute_0_3878,plain,
    ( complement(skolemFOFtoCNF_X1) != join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))
    | complement(skolemFOFtoCNF_X1) = composition(complement(skolemFOFtoCNF_X1),top) ),
    inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1))))),composition(complement(skolemFOFtoCNF_X1),top)) )],[refute_0_3876,refute_0_3877]) ).

cnf(refute_0_3879,plain,
    complement(skolemFOFtoCNF_X1) = composition(complement(skolemFOFtoCNF_X1),top),
    inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(composition(complement(skolemFOFtoCNF_X1),top),complement(complement(skolemFOFtoCNF_X1)))))) )],[refute_0_3608,refute_0_3878]) ).

cnf(refute_0_3880,plain,
    ( complement(skolemFOFtoCNF_X1) != composition(complement(skolemFOFtoCNF_X1),top)
    | composition(complement(skolemFOFtoCNF_X1),top) = complement(skolemFOFtoCNF_X1) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(complement(skolemFOFtoCNF_X1))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_3881,plain,
    composition(complement(skolemFOFtoCNF_X1),top) = complement(skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) )],[refute_0_3879,refute_0_3880]) ).

cnf(refute_0_3882,plain,
    ( composition(complement(skolemFOFtoCNF_X1),top) != complement(skolemFOFtoCNF_X1)
    | composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X1),top))
    | composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X1),top))) ),[1,1],$fot(complement(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3883,plain,
    ( composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X1),top))
    | composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)) )],[refute_0_3881,refute_0_3882]) ).

cnf(refute_0_3884,plain,
    composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_3479,refute_0_3883]) ).

cnf(refute_0_3885,plain,
    join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
    inference(subst,[],[refute_0_2483:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_3886,plain,
    composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),
    introduced(tautology,[refl,[$fot(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top))]]) ).

cnf(refute_0_3887,plain,
    ( composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) != composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top)
    | join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
    | composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top)) ),[1,0],$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3888,plain,
    ( join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
    | composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) ),
    inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top)) )],[refute_0_3886,refute_0_3887]) ).

cnf(refute_0_3889,plain,
    composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_3885,refute_0_3888]) ).

cnf(refute_0_3890,plain,
    ( composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) != composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)
    | composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))
    | composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) ),[0],$fot(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top))]]) ).

cnf(refute_0_3891,plain,
    ( composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))
    | composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_3889,refute_0_3890]) ).

cnf(refute_0_3892,plain,
    ( composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))
    | join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
    | composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3893,plain,
    ( composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))
    | composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_3885,refute_0_3892]) ).

cnf(refute_0_3894,plain,
    ( composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))
    | composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) )],[refute_0_3891,refute_0_3893]) ).

cnf(refute_0_3895,plain,
    composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) )],[refute_0_3884,refute_0_3894]) ).

cnf(refute_0_3896,plain,
    ( composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
    | join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top))))) != complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
    | join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) = complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top))))),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),[0,1,1,0,0],$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3897,plain,
    ( join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top))))) != complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
    | join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) = complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
    inference(resolve,[$cnf( $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_3895,refute_0_3896]) ).

cnf(refute_0_3898,plain,
    join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) = complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top))))),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_32,refute_0_3897]) ).

cnf(refute_0_3899,plain,
    converse(composition(X_15,converse(X0))) = composition(converse(converse(X0)),converse(X_15)),
    inference(subst,[],[refute_0_14:[bind(X0,$fot(X_15)),bind(X1,$fot(converse(X0)))]]) ).

cnf(refute_0_3900,plain,
    ( converse(composition(X_15,converse(X0))) != composition(converse(converse(X0)),converse(X_15))
    | converse(converse(X0)) != X0
    | converse(composition(X_15,converse(X0))) = composition(X0,converse(X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_15,converse(X0))),composition(converse(converse(X0)),converse(X_15))) ),[1,0],$fot(X0)]]) ).

cnf(refute_0_3901,plain,
    ( converse(composition(X_15,converse(X0))) != composition(converse(converse(X0)),converse(X_15))
    | converse(composition(X_15,converse(X0))) = composition(X0,converse(X_15)) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_0,refute_0_3900]) ).

cnf(refute_0_3902,plain,
    converse(composition(X_15,converse(X0))) = composition(X0,converse(X_15)),
    inference(resolve,[$cnf( $equal(converse(composition(X_15,converse(X0))),composition(converse(converse(X0)),converse(X_15))) )],[refute_0_3899,refute_0_3901]) ).

cnf(refute_0_3903,plain,
    converse(composition(X_15,converse(join(one,top)))) = composition(join(one,top),converse(X_15)),
    inference(subst,[],[refute_0_3902:[bind(X0,$fot(join(one,top)))]]) ).

cnf(refute_0_3904,plain,
    ( converse(composition(X_15,converse(join(one,top)))) != composition(join(one,top),converse(X_15))
    | converse(join(one,top)) != join(one,top)
    | converse(composition(X_15,join(one,top))) = composition(join(one,top),converse(X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_15,converse(join(one,top)))),composition(join(one,top),converse(X_15))) ),[0,0,1],$fot(join(one,top))]]) ).

cnf(refute_0_3905,plain,
    ( converse(composition(X_15,converse(join(one,top)))) != composition(join(one,top),converse(X_15))
    | converse(composition(X_15,join(one,top))) = composition(join(one,top),converse(X_15)) ),
    inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,top)) )],[refute_0_1818,refute_0_3904]) ).

cnf(refute_0_3906,plain,
    converse(composition(X_15,join(one,top))) = composition(join(one,top),converse(X_15)),
    inference(resolve,[$cnf( $equal(converse(composition(X_15,converse(join(one,top)))),composition(join(one,top),converse(X_15))) )],[refute_0_3903,refute_0_3905]) ).

cnf(refute_0_3907,plain,
    composition(X_15,join(one,top)) = composition(X_15,join(one,top)),
    introduced(tautology,[refl,[$fot(composition(X_15,join(one,top)))]]) ).

cnf(refute_0_3908,plain,
    ( composition(X_15,join(one,top)) != composition(X_15,join(one,top))
    | join(one,top) != top
    | composition(X_15,join(one,top)) = composition(X_15,top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(X_15,join(one,top)),composition(X_15,join(one,top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_3909,plain,
    ( join(one,top) != top
    | composition(X_15,join(one,top)) = composition(X_15,top) ),
    inference(resolve,[$cnf( $equal(composition(X_15,join(one,top)),composition(X_15,join(one,top))) )],[refute_0_3907,refute_0_3908]) ).

cnf(refute_0_3910,plain,
    composition(X_15,join(one,top)) = composition(X_15,top),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_3909]) ).

cnf(refute_0_3911,plain,
    converse(composition(X_15,join(one,top))) = converse(composition(X_15,join(one,top))),
    introduced(tautology,[refl,[$fot(converse(composition(X_15,join(one,top))))]]) ).

cnf(refute_0_3912,plain,
    ( composition(X_15,join(one,top)) != composition(X_15,top)
    | converse(composition(X_15,join(one,top))) != converse(composition(X_15,join(one,top)))
    | converse(composition(X_15,join(one,top))) = converse(composition(X_15,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_15,join(one,top))),converse(composition(X_15,join(one,top)))) ),[1,0],$fot(composition(X_15,top))]]) ).

cnf(refute_0_3913,plain,
    ( composition(X_15,join(one,top)) != composition(X_15,top)
    | converse(composition(X_15,join(one,top))) = converse(composition(X_15,top)) ),
    inference(resolve,[$cnf( $equal(converse(composition(X_15,join(one,top))),converse(composition(X_15,join(one,top)))) )],[refute_0_3911,refute_0_3912]) ).

cnf(refute_0_3914,plain,
    converse(composition(X_15,join(one,top))) = converse(composition(X_15,top)),
    inference(resolve,[$cnf( $equal(composition(X_15,join(one,top)),composition(X_15,top)) )],[refute_0_3910,refute_0_3913]) ).

cnf(refute_0_3915,plain,
    ( converse(composition(X_15,join(one,top))) != composition(join(one,top),converse(X_15))
    | converse(composition(X_15,join(one,top))) != converse(composition(X_15,top))
    | converse(composition(X_15,top)) = composition(join(one,top),converse(X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_15,join(one,top))),composition(join(one,top),converse(X_15))) ),[0],$fot(converse(composition(X_15,top)))]]) ).

cnf(refute_0_3916,plain,
    ( converse(composition(X_15,join(one,top))) != composition(join(one,top),converse(X_15))
    | converse(composition(X_15,top)) = composition(join(one,top),converse(X_15)) ),
    inference(resolve,[$cnf( $equal(converse(composition(X_15,join(one,top))),converse(composition(X_15,top))) )],[refute_0_3914,refute_0_3915]) ).

cnf(refute_0_3917,plain,
    composition(join(one,top),converse(X_15)) = composition(join(one,top),converse(X_15)),
    introduced(tautology,[refl,[$fot(composition(join(one,top),converse(X_15)))]]) ).

cnf(refute_0_3918,plain,
    ( composition(join(one,top),converse(X_15)) != composition(join(one,top),converse(X_15))
    | join(one,top) != top
    | composition(join(one,top),converse(X_15)) = composition(top,converse(X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),converse(X_15)),composition(join(one,top),converse(X_15))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_3919,plain,
    ( join(one,top) != top
    | composition(join(one,top),converse(X_15)) = composition(top,converse(X_15)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),converse(X_15)),composition(join(one,top),converse(X_15))) )],[refute_0_3917,refute_0_3918]) ).

cnf(refute_0_3920,plain,
    composition(join(one,top),converse(X_15)) = composition(top,converse(X_15)),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_3919]) ).

cnf(refute_0_3921,plain,
    ( composition(join(one,top),converse(X_15)) != composition(top,converse(X_15))
    | converse(composition(X_15,top)) != composition(join(one,top),converse(X_15))
    | converse(composition(X_15,top)) = composition(top,converse(X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_15,top)),composition(join(one,top),converse(X_15))) ),[1],$fot(composition(top,converse(X_15)))]]) ).

cnf(refute_0_3922,plain,
    ( converse(composition(X_15,top)) != composition(join(one,top),converse(X_15))
    | converse(composition(X_15,top)) = composition(top,converse(X_15)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),converse(X_15)),composition(top,converse(X_15))) )],[refute_0_3920,refute_0_3921]) ).

cnf(refute_0_3923,plain,
    ( converse(composition(X_15,join(one,top))) != composition(join(one,top),converse(X_15))
    | converse(composition(X_15,top)) = composition(top,converse(X_15)) ),
    inference(resolve,[$cnf( $equal(converse(composition(X_15,top)),composition(join(one,top),converse(X_15))) )],[refute_0_3916,refute_0_3922]) ).

cnf(refute_0_3924,plain,
    converse(composition(X_15,top)) = composition(top,converse(X_15)),
    inference(resolve,[$cnf( $equal(converse(composition(X_15,join(one,top))),composition(join(one,top),converse(X_15))) )],[refute_0_3906,refute_0_3923]) ).

cnf(refute_0_3925,plain,
    ( converse(composition(X_15,top)) != composition(top,converse(X_15))
    | composition(top,converse(X_15)) = converse(composition(X_15,top)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X_15,top)))),bind(Y,$fot(composition(top,converse(X_15))))]]) ).

cnf(refute_0_3926,plain,
    composition(top,converse(X_15)) = converse(composition(X_15,top)),
    inference(resolve,[$cnf( $equal(converse(composition(X_15,top)),composition(top,converse(X_15))) )],[refute_0_3924,refute_0_3925]) ).

cnf(refute_0_3927,plain,
    composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)),
    inference(subst,[],[refute_0_3926:[bind(X_15,$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_3928,plain,
    complement(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
    inference(subst,[],[refute_0_2776:[bind(X_114,$fot(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_3929,plain,
    complement(converse(X_324)) = join(meet(complement(converse(X_324)),converse(complement(X_324))),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))),
    inference(subst,[],[refute_0_62:[bind(X_88,$fot(complement(converse(X_324)))),bind(X_89,$fot(converse(complement(X_324))))]]) ).

cnf(refute_0_3930,plain,
    converse(X0) = meet(converse(X0),join(converse(X0),converse(X1))),
    inference(subst,[],[refute_0_2788:[bind(X_52,$fot(converse(X1))),bind(X_88,$fot(converse(X0)))]]) ).

cnf(refute_0_3931,plain,
    ( converse(X0) != meet(converse(X0),join(converse(X0),converse(X1)))
    | join(converse(X0),converse(X1)) != converse(join(X0,X1))
    | converse(X0) = meet(converse(X0),converse(join(X0,X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(X0),meet(converse(X0),join(converse(X0),converse(X1)))) ),[1,1],$fot(converse(join(X0,X1)))]]) ).

cnf(refute_0_3932,plain,
    ( converse(X0) != meet(converse(X0),join(converse(X0),converse(X1)))
    | converse(X0) = meet(converse(X0),converse(join(X0,X1))) ),
    inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),converse(join(X0,X1))) )],[refute_0_129,refute_0_3931]) ).

cnf(refute_0_3933,plain,
    converse(X0) = meet(converse(X0),converse(join(X0,X1))),
    inference(resolve,[$cnf( $equal(converse(X0),meet(converse(X0),join(converse(X0),converse(X1)))) )],[refute_0_3930,refute_0_3932]) ).

cnf(refute_0_3934,plain,
    converse(complement(X_322)) = meet(converse(complement(X_322)),converse(join(complement(X_322),meet(X_322,converse(complement(converse(X_322))))))),
    inference(subst,[],[refute_0_3933:[bind(X0,$fot(complement(X_322))),bind(X1,$fot(meet(X_322,converse(complement(converse(X_322))))))]]) ).

cnf(refute_0_3935,plain,
    converse(complement(converse(complement(complement(X_147))))) = join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),meet(complement(X_147),converse(complement(converse(complement(complement(X_147))))))),
    inference(subst,[],[refute_0_2808:[bind(X_105,$fot(X_147)),bind(X_106,$fot(converse(complement(converse(complement(complement(X_147)))))))]]) ).

cnf(refute_0_3936,plain,
    X_88 = join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(join(complement(X_88),converse(complement(converse(complement(X_88))))))),
    inference(subst,[],[refute_0_55:[bind(X0,$fot(X_88)),bind(X1,$fot(converse(complement(converse(complement(X_88))))))]]) ).

cnf(refute_0_3937,plain,
    top = join(complement(X_88),converse(complement(converse(complement(X_88))))),
    inference(subst,[],[refute_0_2868:[bind(X_8,$fot(complement(X_88)))]]) ).

cnf(refute_0_3938,plain,
    ( top != join(complement(X_88),converse(complement(converse(complement(X_88)))))
    | join(complement(X_88),converse(complement(converse(complement(X_88))))) = top ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_88),converse(complement(converse(complement(X_88)))))))]]) ).

cnf(refute_0_3939,plain,
    join(complement(X_88),converse(complement(converse(complement(X_88))))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(X_88),converse(complement(converse(complement(X_88)))))) )],[refute_0_3937,refute_0_3938]) ).

cnf(refute_0_3940,plain,
    ( X_88 != join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(join(complement(X_88),converse(complement(converse(complement(X_88)))))))
    | join(complement(X_88),converse(complement(converse(complement(X_88))))) != top
    | X_88 = join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_88,join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(join(complement(X_88),converse(complement(converse(complement(X_88)))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_3941,plain,
    ( X_88 != join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(join(complement(X_88),converse(complement(converse(complement(X_88)))))))
    | X_88 = join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_88),converse(complement(converse(complement(X_88))))),top) )],[refute_0_3939,refute_0_3940]) ).

cnf(refute_0_3942,plain,
    X_88 = join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(join(complement(X_88),converse(complement(converse(complement(X_88)))))))) )],[refute_0_3936,refute_0_3941]) ).

cnf(refute_0_3943,plain,
    join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))) = join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))))]]) ).

cnf(refute_0_3944,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))) != join(complement(top),meet(X_88,converse(complement(converse(complement(X_88))))))
    | join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))) = join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))),join(complement(top),meet(X_88,converse(complement(converse(complement(X_88))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_3945,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))) = join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))),join(complement(top),meet(X_88,converse(complement(converse(complement(X_88))))))) )],[refute_0_3943,refute_0_3944]) ).

cnf(refute_0_3946,plain,
    join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))) = join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_3945]) ).

cnf(refute_0_3947,plain,
    join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)) = join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_88,converse(complement(converse(complement(X_88)))))))]]) ).

cnf(refute_0_3948,plain,
    ( join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))) != join(zero,meet(X_88,converse(complement(converse(complement(X_88))))))
    | join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)) != join(complement(top),meet(X_88,converse(complement(converse(complement(X_88))))))
    | join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)) = join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))))),bind(Z,$fot(join(zero,meet(X_88,converse(complement(converse(complement(X_88))))))))]]) ).

cnf(refute_0_3949,plain,
    ( join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))) != join(zero,meet(X_88,converse(complement(converse(complement(X_88))))))
    | join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)) = join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)),join(complement(top),meet(X_88,converse(complement(converse(complement(X_88))))))) )],[refute_0_3947,refute_0_3948]) ).

cnf(refute_0_3950,plain,
    join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)) = join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_88,converse(complement(converse(complement(X_88)))))),join(zero,meet(X_88,converse(complement(converse(complement(X_88))))))) )],[refute_0_3946,refute_0_3949]) ).

cnf(refute_0_3951,plain,
    ( X_88 != join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top))
    | join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)) != join(zero,meet(X_88,converse(complement(converse(complement(X_88))))))
    | X_88 = join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,join(zero,meet(X_88,converse(complement(converse(complement(X_88))))))) ),[0],$fot(join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)))]]) ).

cnf(refute_0_3952,plain,
    ( X_88 != join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top))
    | X_88 = join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top)),join(zero,meet(X_88,converse(complement(converse(complement(X_88))))))) )],[refute_0_3950,refute_0_3951]) ).

cnf(refute_0_3953,plain,
    X_88 = join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))),
    inference(resolve,[$cnf( $equal(X_88,join(meet(X_88,converse(complement(converse(complement(X_88))))),complement(top))) )],[refute_0_3942,refute_0_3952]) ).

cnf(refute_0_3954,plain,
    join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))) = meet(X_88,converse(complement(converse(complement(X_88))))),
    inference(subst,[],[refute_0_2647:[bind(X_88,$fot(meet(X_88,converse(complement(converse(complement(X_88)))))))]]) ).

cnf(refute_0_3955,plain,
    ( X_88 != join(zero,meet(X_88,converse(complement(converse(complement(X_88))))))
    | join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))) != meet(X_88,converse(complement(converse(complement(X_88)))))
    | X_88 = meet(X_88,converse(complement(converse(complement(X_88))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_88,meet(X_88,converse(complement(converse(complement(X_88)))))) ),[0],$fot(join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))))]]) ).

cnf(refute_0_3956,plain,
    ( X_88 != join(zero,meet(X_88,converse(complement(converse(complement(X_88))))))
    | X_88 = meet(X_88,converse(complement(converse(complement(X_88))))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_88,converse(complement(converse(complement(X_88)))))),meet(X_88,converse(complement(converse(complement(X_88)))))) )],[refute_0_3954,refute_0_3955]) ).

cnf(refute_0_3957,plain,
    X_88 = meet(X_88,converse(complement(converse(complement(X_88))))),
    inference(resolve,[$cnf( $equal(X_88,join(zero,meet(X_88,converse(complement(converse(complement(X_88))))))) )],[refute_0_3953,refute_0_3956]) ).

cnf(refute_0_3958,plain,
    complement(X_147) = meet(complement(X_147),converse(complement(converse(complement(complement(X_147)))))),
    inference(subst,[],[refute_0_3957:[bind(X_88,$fot(complement(X_147)))]]) ).

cnf(refute_0_3959,plain,
    ( complement(X_147) != meet(complement(X_147),converse(complement(converse(complement(complement(X_147))))))
    | meet(complement(X_147),converse(complement(converse(complement(complement(X_147)))))) = complement(X_147) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_147))),bind(Y,$fot(meet(complement(X_147),converse(complement(converse(complement(complement(X_147))))))))]]) ).

cnf(refute_0_3960,plain,
    meet(complement(X_147),converse(complement(converse(complement(complement(X_147)))))) = complement(X_147),
    inference(resolve,[$cnf( $equal(complement(X_147),meet(complement(X_147),converse(complement(converse(complement(complement(X_147))))))) )],[refute_0_3958,refute_0_3959]) ).

cnf(refute_0_3961,plain,
    ( converse(complement(converse(complement(complement(X_147))))) != join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),meet(complement(X_147),converse(complement(converse(complement(complement(X_147)))))))
    | meet(complement(X_147),converse(complement(converse(complement(complement(X_147)))))) != complement(X_147)
    | converse(complement(converse(complement(complement(X_147))))) = join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_147))))),join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),meet(complement(X_147),converse(complement(converse(complement(complement(X_147)))))))) ),[1,1],$fot(complement(X_147))]]) ).

cnf(refute_0_3962,plain,
    ( converse(complement(converse(complement(complement(X_147))))) != join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),meet(complement(X_147),converse(complement(converse(complement(complement(X_147)))))))
    | converse(complement(converse(complement(complement(X_147))))) = join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)) ),
    inference(resolve,[$cnf( $equal(meet(complement(X_147),converse(complement(converse(complement(complement(X_147)))))),complement(X_147)) )],[refute_0_3960,refute_0_3961]) ).

cnf(refute_0_3963,plain,
    converse(complement(converse(complement(complement(X_147))))) = join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_147))))),join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),meet(complement(X_147),converse(complement(converse(complement(complement(X_147)))))))) )],[refute_0_3935,refute_0_3962]) ).

cnf(refute_0_3964,plain,
    complement(complement(X_147)) = X_147,
    inference(subst,[],[refute_0_2776:[bind(X_114,$fot(X_147))]]) ).

cnf(refute_0_3965,plain,
    converse(complement(complement(X_147))) = converse(complement(complement(X_147))),
    introduced(tautology,[refl,[$fot(converse(complement(complement(X_147))))]]) ).

cnf(refute_0_3966,plain,
    ( complement(complement(X_147)) != X_147
    | converse(complement(complement(X_147))) != converse(complement(complement(X_147)))
    | converse(complement(complement(X_147))) = converse(X_147) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_147))),converse(complement(complement(X_147)))) ),[1,0],$fot(X_147)]]) ).

cnf(refute_0_3967,plain,
    ( complement(complement(X_147)) != X_147
    | converse(complement(complement(X_147))) = converse(X_147) ),
    inference(resolve,[$cnf( $equal(converse(complement(complement(X_147))),converse(complement(complement(X_147)))) )],[refute_0_3965,refute_0_3966]) ).

cnf(refute_0_3968,plain,
    converse(complement(complement(X_147))) = converse(X_147),
    inference(resolve,[$cnf( $equal(complement(complement(X_147)),X_147) )],[refute_0_3964,refute_0_3967]) ).

cnf(refute_0_3969,plain,
    complement(converse(complement(complement(X_147)))) = complement(converse(complement(complement(X_147)))),
    introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_147)))))]]) ).

cnf(refute_0_3970,plain,
    ( complement(converse(complement(complement(X_147)))) != complement(converse(complement(complement(X_147))))
    | converse(complement(complement(X_147))) != converse(X_147)
    | complement(converse(complement(complement(X_147)))) = complement(converse(X_147)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_147)))),complement(converse(complement(complement(X_147))))) ),[1,0],$fot(converse(X_147))]]) ).

cnf(refute_0_3971,plain,
    ( converse(complement(complement(X_147))) != converse(X_147)
    | complement(converse(complement(complement(X_147)))) = complement(converse(X_147)) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_147)))),complement(converse(complement(complement(X_147))))) )],[refute_0_3969,refute_0_3970]) ).

cnf(refute_0_3972,plain,
    complement(converse(complement(complement(X_147)))) = complement(converse(X_147)),
    inference(resolve,[$cnf( $equal(converse(complement(complement(X_147))),converse(X_147)) )],[refute_0_3968,refute_0_3971]) ).

cnf(refute_0_3973,plain,
    converse(complement(converse(complement(complement(X_147))))) = converse(complement(converse(complement(complement(X_147))))),
    introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_147))))))]]) ).

cnf(refute_0_3974,plain,
    ( complement(converse(complement(complement(X_147)))) != complement(converse(X_147))
    | converse(complement(converse(complement(complement(X_147))))) != converse(complement(converse(complement(complement(X_147)))))
    | converse(complement(converse(complement(complement(X_147))))) = converse(complement(converse(X_147))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_147))))),converse(complement(converse(complement(complement(X_147)))))) ),[1,0],$fot(complement(converse(X_147)))]]) ).

cnf(refute_0_3975,plain,
    ( complement(converse(complement(complement(X_147)))) != complement(converse(X_147))
    | converse(complement(converse(complement(complement(X_147))))) = converse(complement(converse(X_147))) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_147))))),converse(complement(converse(complement(complement(X_147)))))) )],[refute_0_3973,refute_0_3974]) ).

cnf(refute_0_3976,plain,
    converse(complement(converse(complement(complement(X_147))))) = converse(complement(converse(X_147))),
    inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_147)))),complement(converse(X_147))) )],[refute_0_3972,refute_0_3975]) ).

cnf(refute_0_3977,plain,
    ( converse(complement(converse(complement(complement(X_147))))) != converse(complement(converse(X_147)))
    | converse(complement(converse(complement(complement(X_147))))) != join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147))
    | converse(complement(converse(X_147))) = join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_147))))),join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147))) ),[0],$fot(converse(complement(converse(X_147))))]]) ).

cnf(refute_0_3978,plain,
    ( converse(complement(converse(complement(complement(X_147))))) != join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147))
    | converse(complement(converse(X_147))) = join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_147))))),converse(complement(converse(X_147)))) )],[refute_0_3976,refute_0_3977]) ).

cnf(refute_0_3979,plain,
    meet(X_147,converse(complement(converse(complement(complement(X_147)))))) = meet(X_147,converse(complement(converse(complement(complement(X_147)))))),
    introduced(tautology,[refl,[$fot(meet(X_147,converse(complement(converse(complement(complement(X_147)))))))]]) ).

cnf(refute_0_3980,plain,
    ( converse(complement(converse(complement(complement(X_147))))) != converse(complement(converse(X_147)))
    | meet(X_147,converse(complement(converse(complement(complement(X_147)))))) != meet(X_147,converse(complement(converse(complement(complement(X_147))))))
    | meet(X_147,converse(complement(converse(complement(complement(X_147)))))) = meet(X_147,converse(complement(converse(X_147)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_147,converse(complement(converse(complement(complement(X_147)))))),meet(X_147,converse(complement(converse(complement(complement(X_147))))))) ),[1,1],$fot(converse(complement(converse(X_147))))]]) ).

cnf(refute_0_3981,plain,
    ( converse(complement(converse(complement(complement(X_147))))) != converse(complement(converse(X_147)))
    | meet(X_147,converse(complement(converse(complement(complement(X_147)))))) = meet(X_147,converse(complement(converse(X_147)))) ),
    inference(resolve,[$cnf( $equal(meet(X_147,converse(complement(converse(complement(complement(X_147)))))),meet(X_147,converse(complement(converse(complement(complement(X_147))))))) )],[refute_0_3979,refute_0_3980]) ).

cnf(refute_0_3982,plain,
    meet(X_147,converse(complement(converse(complement(complement(X_147)))))) = meet(X_147,converse(complement(converse(X_147)))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_147))))),converse(complement(converse(X_147)))) )],[refute_0_3976,refute_0_3981]) ).

cnf(refute_0_3983,plain,
    meet(converse(complement(converse(complement(complement(X_147))))),X_147) = meet(X_147,converse(complement(converse(complement(complement(X_147)))))),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(X_147)),bind(X_32,$fot(converse(complement(converse(complement(complement(X_147)))))))]]) ).

cnf(refute_0_3984,plain,
    ( meet(X_147,converse(complement(converse(complement(complement(X_147)))))) != meet(X_147,converse(complement(converse(X_147))))
    | meet(converse(complement(converse(complement(complement(X_147))))),X_147) != meet(X_147,converse(complement(converse(complement(complement(X_147))))))
    | meet(converse(complement(converse(complement(complement(X_147))))),X_147) = meet(X_147,converse(complement(converse(X_147)))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(converse(complement(converse(complement(complement(X_147))))),X_147))),bind(Y,$fot(meet(X_147,converse(complement(converse(complement(complement(X_147)))))))),bind(Z,$fot(meet(X_147,converse(complement(converse(X_147))))))]]) ).

cnf(refute_0_3985,plain,
    ( meet(X_147,converse(complement(converse(complement(complement(X_147)))))) != meet(X_147,converse(complement(converse(X_147))))
    | meet(converse(complement(converse(complement(complement(X_147))))),X_147) = meet(X_147,converse(complement(converse(X_147)))) ),
    inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_147))))),X_147),meet(X_147,converse(complement(converse(complement(complement(X_147))))))) )],[refute_0_3983,refute_0_3984]) ).

cnf(refute_0_3986,plain,
    meet(converse(complement(converse(complement(complement(X_147))))),X_147) = meet(X_147,converse(complement(converse(X_147)))),
    inference(resolve,[$cnf( $equal(meet(X_147,converse(complement(converse(complement(complement(X_147)))))),meet(X_147,converse(complement(converse(X_147))))) )],[refute_0_3982,refute_0_3985]) ).

cnf(refute_0_3987,plain,
    join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)) = join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)),
    introduced(tautology,[refl,[$fot(join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)))]]) ).

cnf(refute_0_3988,plain,
    ( join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)) != join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147))
    | meet(converse(complement(converse(complement(complement(X_147))))),X_147) != meet(X_147,converse(complement(converse(X_147))))
    | join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)),join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147))) ),[1,1],$fot(meet(X_147,converse(complement(converse(X_147)))))]]) ).

cnf(refute_0_3989,plain,
    ( meet(converse(complement(converse(complement(complement(X_147))))),X_147) != meet(X_147,converse(complement(converse(X_147))))
    | join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)),join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147))) )],[refute_0_3987,refute_0_3988]) ).

cnf(refute_0_3990,plain,
    join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))),
    inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_147))))),X_147),meet(X_147,converse(complement(converse(X_147))))) )],[refute_0_3986,refute_0_3989]) ).

cnf(refute_0_3991,plain,
    join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)) = join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(X_147))),bind(X1,$fot(meet(converse(complement(converse(complement(complement(X_147))))),X_147)))]]) ).

cnf(refute_0_3992,plain,
    ( join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)) != join(complement(X_147),meet(X_147,converse(complement(converse(X_147)))))
    | join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)) != join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147))
    | join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)))),bind(Y,$fot(join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)))),bind(Z,$fot(join(complement(X_147),meet(X_147,converse(complement(converse(X_147)))))))]]) ).

cnf(refute_0_3993,plain,
    ( join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)) != join(complement(X_147),meet(X_147,converse(complement(converse(X_147)))))
    | join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)),join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147))) )],[refute_0_3991,refute_0_3992]) ).

cnf(refute_0_3994,plain,
    join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))),
    inference(resolve,[$cnf( $equal(join(complement(X_147),meet(converse(complement(converse(complement(complement(X_147))))),X_147)),join(complement(X_147),meet(X_147,converse(complement(converse(X_147)))))) )],[refute_0_3990,refute_0_3993]) ).

cnf(refute_0_3995,plain,
    ( converse(complement(converse(X_147))) != join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147))
    | join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)) != join(complement(X_147),meet(X_147,converse(complement(converse(X_147)))))
    | converse(complement(converse(X_147))) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_147))),join(complement(X_147),meet(X_147,converse(complement(converse(X_147)))))) ),[0],$fot(join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)))]]) ).

cnf(refute_0_3996,plain,
    ( converse(complement(converse(X_147))) != join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147))
    | converse(complement(converse(X_147))) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147)),join(complement(X_147),meet(X_147,converse(complement(converse(X_147)))))) )],[refute_0_3994,refute_0_3995]) ).

cnf(refute_0_3997,plain,
    ( converse(complement(converse(complement(complement(X_147))))) != join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147))
    | converse(complement(converse(X_147))) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(X_147))),join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147))) )],[refute_0_3978,refute_0_3996]) ).

cnf(refute_0_3998,plain,
    converse(complement(converse(X_147))) = join(complement(X_147),meet(X_147,converse(complement(converse(X_147))))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_147))))),join(meet(converse(complement(converse(complement(complement(X_147))))),X_147),complement(X_147))) )],[refute_0_3963,refute_0_3997]) ).

cnf(refute_0_3999,plain,
    converse(complement(converse(X_322))) = join(complement(X_322),meet(X_322,converse(complement(converse(X_322))))),
    inference(subst,[],[refute_0_3998:[bind(X_147,$fot(X_322))]]) ).

cnf(refute_0_4000,plain,
    ( converse(complement(converse(X_322))) != join(complement(X_322),meet(X_322,converse(complement(converse(X_322)))))
    | join(complement(X_322),meet(X_322,converse(complement(converse(X_322))))) = converse(complement(converse(X_322))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(complement(converse(X_322))))),bind(Y,$fot(join(complement(X_322),meet(X_322,converse(complement(converse(X_322)))))))]]) ).

cnf(refute_0_4001,plain,
    join(complement(X_322),meet(X_322,converse(complement(converse(X_322))))) = converse(complement(converse(X_322))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(X_322))),join(complement(X_322),meet(X_322,converse(complement(converse(X_322)))))) )],[refute_0_3999,refute_0_4000]) ).

cnf(refute_0_4002,plain,
    ( converse(complement(X_322)) != meet(converse(complement(X_322)),converse(join(complement(X_322),meet(X_322,converse(complement(converse(X_322)))))))
    | join(complement(X_322),meet(X_322,converse(complement(converse(X_322))))) != converse(complement(converse(X_322)))
    | converse(complement(X_322)) = meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_322)),meet(converse(complement(X_322)),converse(join(complement(X_322),meet(X_322,converse(complement(converse(X_322)))))))) ),[1,1,0],$fot(converse(complement(converse(X_322))))]]) ).

cnf(refute_0_4003,plain,
    ( converse(complement(X_322)) != meet(converse(complement(X_322)),converse(join(complement(X_322),meet(X_322,converse(complement(converse(X_322)))))))
    | converse(complement(X_322)) = meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_322),meet(X_322,converse(complement(converse(X_322))))),converse(complement(converse(X_322)))) )],[refute_0_4001,refute_0_4002]) ).

cnf(refute_0_4004,plain,
    converse(complement(X_322)) = meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))),
    inference(resolve,[$cnf( $equal(converse(complement(X_322)),meet(converse(complement(X_322)),converse(join(complement(X_322),meet(X_322,converse(complement(converse(X_322)))))))) )],[refute_0_3934,refute_0_4003]) ).

cnf(refute_0_4005,plain,
    meet(converse(complement(X_322)),complement(converse(X_322))) = meet(complement(converse(X_322)),converse(complement(X_322))),
    inference(subst,[],[refute_0_2316:[bind(X_31,$fot(complement(converse(X_322)))),bind(X_32,$fot(converse(complement(X_322))))]]) ).

cnf(refute_0_4006,plain,
    converse(converse(complement(converse(X_322)))) = complement(converse(X_322)),
    inference(subst,[],[refute_0_0:[bind(X0,$fot(complement(converse(X_322))))]]) ).

cnf(refute_0_4007,plain,
    meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) = meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))),
    introduced(tautology,[refl,[$fot(meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))))]]) ).

cnf(refute_0_4008,plain,
    ( converse(converse(complement(converse(X_322)))) != complement(converse(X_322))
    | meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) != meet(converse(complement(X_322)),converse(converse(complement(converse(X_322)))))
    | meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) = meet(converse(complement(X_322)),complement(converse(X_322))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))),meet(converse(complement(X_322)),converse(converse(complement(converse(X_322)))))) ),[1,1],$fot(complement(converse(X_322)))]]) ).

cnf(refute_0_4009,plain,
    ( converse(converse(complement(converse(X_322)))) != complement(converse(X_322))
    | meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) = meet(converse(complement(X_322)),complement(converse(X_322))) ),
    inference(resolve,[$cnf( $equal(meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))),meet(converse(complement(X_322)),converse(converse(complement(converse(X_322)))))) )],[refute_0_4007,refute_0_4008]) ).

cnf(refute_0_4010,plain,
    meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) = meet(converse(complement(X_322)),complement(converse(X_322))),
    inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_322)))),complement(converse(X_322))) )],[refute_0_4006,refute_0_4009]) ).

cnf(refute_0_4011,plain,
    ( meet(converse(complement(X_322)),complement(converse(X_322))) != meet(complement(converse(X_322)),converse(complement(X_322)))
    | meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) != meet(converse(complement(X_322)),complement(converse(X_322)))
    | meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) = meet(complement(converse(X_322)),converse(complement(X_322))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))))),bind(Y,$fot(meet(converse(complement(X_322)),complement(converse(X_322))))),bind(Z,$fot(meet(complement(converse(X_322)),converse(complement(X_322)))))]]) ).

cnf(refute_0_4012,plain,
    ( meet(converse(complement(X_322)),complement(converse(X_322))) != meet(complement(converse(X_322)),converse(complement(X_322)))
    | meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) = meet(complement(converse(X_322)),converse(complement(X_322))) ),
    inference(resolve,[$cnf( $equal(meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))),meet(converse(complement(X_322)),complement(converse(X_322)))) )],[refute_0_4010,refute_0_4011]) ).

cnf(refute_0_4013,plain,
    meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) = meet(complement(converse(X_322)),converse(complement(X_322))),
    inference(resolve,[$cnf( $equal(meet(converse(complement(X_322)),complement(converse(X_322))),meet(complement(converse(X_322)),converse(complement(X_322)))) )],[refute_0_4005,refute_0_4012]) ).

cnf(refute_0_4014,plain,
    ( converse(complement(X_322)) != meet(converse(complement(X_322)),converse(converse(complement(converse(X_322)))))
    | meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))) != meet(complement(converse(X_322)),converse(complement(X_322)))
    | converse(complement(X_322)) = meet(complement(converse(X_322)),converse(complement(X_322))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_322)),meet(complement(converse(X_322)),converse(complement(X_322)))) ),[0],$fot(meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))))]]) ).

cnf(refute_0_4015,plain,
    ( converse(complement(X_322)) != meet(converse(complement(X_322)),converse(converse(complement(converse(X_322)))))
    | converse(complement(X_322)) = meet(complement(converse(X_322)),converse(complement(X_322))) ),
    inference(resolve,[$cnf( $equal(meet(converse(complement(X_322)),converse(converse(complement(converse(X_322))))),meet(complement(converse(X_322)),converse(complement(X_322)))) )],[refute_0_4013,refute_0_4014]) ).

cnf(refute_0_4016,plain,
    converse(complement(X_322)) = meet(complement(converse(X_322)),converse(complement(X_322))),
    inference(resolve,[$cnf( $equal(converse(complement(X_322)),meet(converse(complement(X_322)),converse(converse(complement(converse(X_322)))))) )],[refute_0_4004,refute_0_4015]) ).

cnf(refute_0_4017,plain,
    converse(complement(X_324)) = meet(complement(converse(X_324)),converse(complement(X_324))),
    inference(subst,[],[refute_0_4016:[bind(X_322,$fot(X_324))]]) ).

cnf(refute_0_4018,plain,
    ( converse(complement(X_324)) != meet(complement(converse(X_324)),converse(complement(X_324)))
    | meet(complement(converse(X_324)),converse(complement(X_324))) = converse(complement(X_324)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(converse(complement(X_324)))),bind(Y,$fot(meet(complement(converse(X_324)),converse(complement(X_324)))))]]) ).

cnf(refute_0_4019,plain,
    meet(complement(converse(X_324)),converse(complement(X_324))) = converse(complement(X_324)),
    inference(resolve,[$cnf( $equal(converse(complement(X_324)),meet(complement(converse(X_324)),converse(complement(X_324)))) )],[refute_0_4017,refute_0_4018]) ).

cnf(refute_0_4020,plain,
    ( complement(converse(X_324)) != join(meet(complement(converse(X_324)),converse(complement(X_324))),complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))
    | meet(complement(converse(X_324)),converse(complement(X_324))) != converse(complement(X_324))
    | complement(converse(X_324)) = join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(X_324)),join(meet(complement(converse(X_324)),converse(complement(X_324))),complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))) ),[1,0],$fot(converse(complement(X_324)))]]) ).

cnf(refute_0_4021,plain,
    ( complement(converse(X_324)) != join(meet(complement(converse(X_324)),converse(complement(X_324))),complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))
    | complement(converse(X_324)) = join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) ),
    inference(resolve,[$cnf( $equal(meet(complement(converse(X_324)),converse(complement(X_324))),converse(complement(X_324))) )],[refute_0_4019,refute_0_4020]) ).

cnf(refute_0_4022,plain,
    complement(converse(X_324)) = join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))),
    inference(resolve,[$cnf( $equal(complement(converse(X_324)),join(meet(complement(converse(X_324)),converse(complement(X_324))),complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))) )],[refute_0_3929,refute_0_4021]) ).

cnf(refute_0_4023,plain,
    join(zero,converse(complement(X_324))) = converse(complement(X_324)),
    inference(subst,[],[refute_0_2647:[bind(X_88,$fot(converse(complement(X_324))))]]) ).

cnf(refute_0_4024,plain,
    join(converse(complement(X_324)),zero) = join(zero,converse(complement(X_324))),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(converse(complement(X_324)))),bind(X1,$fot(zero))]]) ).

cnf(refute_0_4025,plain,
    ( join(converse(complement(X_324)),zero) != join(zero,converse(complement(X_324)))
    | join(zero,converse(complement(X_324))) != converse(complement(X_324))
    | join(converse(complement(X_324)),zero) = converse(complement(X_324)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(complement(X_324)),zero))),bind(Y,$fot(join(zero,converse(complement(X_324))))),bind(Z,$fot(converse(complement(X_324))))]]) ).

cnf(refute_0_4026,plain,
    ( join(zero,converse(complement(X_324))) != converse(complement(X_324))
    | join(converse(complement(X_324)),zero) = converse(complement(X_324)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(X_324)),zero),join(zero,converse(complement(X_324)))) )],[refute_0_4024,refute_0_4025]) ).

cnf(refute_0_4027,plain,
    join(converse(complement(X_324)),zero) = converse(complement(X_324)),
    inference(resolve,[$cnf( $equal(join(zero,converse(complement(X_324))),converse(complement(X_324))) )],[refute_0_4023,refute_0_4026]) ).

cnf(refute_0_4028,plain,
    join(X_324,complement(X_324)) = top,
    inference(subst,[],[refute_0_91:[bind(X0,$fot(X_324))]]) ).

cnf(refute_0_4029,plain,
    converse(join(X_324,complement(X_324))) = converse(join(X_324,complement(X_324))),
    introduced(tautology,[refl,[$fot(converse(join(X_324,complement(X_324))))]]) ).

cnf(refute_0_4030,plain,
    ( converse(join(X_324,complement(X_324))) != converse(join(X_324,complement(X_324)))
    | join(X_324,complement(X_324)) != top
    | converse(join(X_324,complement(X_324))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_324,complement(X_324))),converse(join(X_324,complement(X_324)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_4031,plain,
    ( join(X_324,complement(X_324)) != top
    | converse(join(X_324,complement(X_324))) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(join(X_324,complement(X_324))),converse(join(X_324,complement(X_324)))) )],[refute_0_4029,refute_0_4030]) ).

cnf(refute_0_4032,plain,
    converse(join(X_324,complement(X_324))) = converse(top),
    inference(resolve,[$cnf( $equal(join(X_324,complement(X_324)),top) )],[refute_0_4028,refute_0_4031]) ).

cnf(refute_0_4033,plain,
    ( converse(join(X_324,complement(X_324))) != converse(top)
    | converse(top) != top
    | converse(join(X_324,complement(X_324))) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(converse(join(X_324,complement(X_324))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_4034,plain,
    ( converse(top) != top
    | converse(join(X_324,complement(X_324))) = top ),
    inference(resolve,[$cnf( $equal(converse(join(X_324,complement(X_324))),converse(top)) )],[refute_0_4032,refute_0_4033]) ).

cnf(refute_0_4035,plain,
    converse(join(X_324,complement(X_324))) = top,
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1681,refute_0_4034]) ).

cnf(refute_0_4036,plain,
    join(converse(X_324),converse(complement(X_324))) = converse(join(X_324,complement(X_324))),
    inference(subst,[],[refute_0_129:[bind(X0,$fot(X_324)),bind(X1,$fot(complement(X_324)))]]) ).

cnf(refute_0_4037,plain,
    ( converse(join(X_324,complement(X_324))) != top
    | join(converse(X_324),converse(complement(X_324))) != converse(join(X_324,complement(X_324)))
    | join(converse(X_324),converse(complement(X_324))) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(X_324),converse(complement(X_324))))),bind(Y,$fot(converse(join(X_324,complement(X_324))))),bind(Z,$fot(top))]]) ).

cnf(refute_0_4038,plain,
    ( converse(join(X_324,complement(X_324))) != top
    | join(converse(X_324),converse(complement(X_324))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(X_324),converse(complement(X_324))),converse(join(X_324,complement(X_324)))) )],[refute_0_4036,refute_0_4037]) ).

cnf(refute_0_4039,plain,
    join(converse(X_324),converse(complement(X_324))) = top,
    inference(resolve,[$cnf( $equal(converse(join(X_324,complement(X_324))),top) )],[refute_0_4035,refute_0_4038]) ).

cnf(refute_0_4040,plain,
    join(converse(complement(X_324)),converse(X_324)) = join(converse(X_324),converse(complement(X_324))),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(converse(complement(X_324)))),bind(X1,$fot(converse(X_324)))]]) ).

cnf(refute_0_4041,plain,
    ( join(converse(X_324),converse(complement(X_324))) != top
    | join(converse(complement(X_324)),converse(X_324)) != join(converse(X_324),converse(complement(X_324)))
    | join(converse(complement(X_324)),converse(X_324)) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(complement(X_324)),converse(X_324)))),bind(Y,$fot(join(converse(X_324),converse(complement(X_324))))),bind(Z,$fot(top))]]) ).

cnf(refute_0_4042,plain,
    ( join(converse(X_324),converse(complement(X_324))) != top
    | join(converse(complement(X_324)),converse(X_324)) = top ),
    inference(resolve,[$cnf( $equal(join(converse(complement(X_324)),converse(X_324)),join(converse(X_324),converse(complement(X_324)))) )],[refute_0_4040,refute_0_4041]) ).

cnf(refute_0_4043,plain,
    join(converse(complement(X_324)),converse(X_324)) = top,
    inference(resolve,[$cnf( $equal(join(converse(X_324),converse(complement(X_324))),top) )],[refute_0_4039,refute_0_4042]) ).

cnf(refute_0_4044,plain,
    complement(complement(converse(X_324))) = converse(X_324),
    inference(subst,[],[refute_0_2776:[bind(X_114,$fot(converse(X_324)))]]) ).

cnf(refute_0_4045,plain,
    join(converse(complement(X_324)),complement(complement(converse(X_324)))) = join(converse(complement(X_324)),complement(complement(converse(X_324)))),
    introduced(tautology,[refl,[$fot(join(converse(complement(X_324)),complement(complement(converse(X_324)))))]]) ).

cnf(refute_0_4046,plain,
    ( complement(complement(converse(X_324))) != converse(X_324)
    | join(converse(complement(X_324)),complement(complement(converse(X_324)))) != join(converse(complement(X_324)),complement(complement(converse(X_324))))
    | join(converse(complement(X_324)),complement(complement(converse(X_324)))) = join(converse(complement(X_324)),converse(X_324)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(X_324)),complement(complement(converse(X_324)))),join(converse(complement(X_324)),complement(complement(converse(X_324))))) ),[1,1],$fot(converse(X_324))]]) ).

cnf(refute_0_4047,plain,
    ( complement(complement(converse(X_324))) != converse(X_324)
    | join(converse(complement(X_324)),complement(complement(converse(X_324)))) = join(converse(complement(X_324)),converse(X_324)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(X_324)),complement(complement(converse(X_324)))),join(converse(complement(X_324)),complement(complement(converse(X_324))))) )],[refute_0_4045,refute_0_4046]) ).

cnf(refute_0_4048,plain,
    join(converse(complement(X_324)),complement(complement(converse(X_324)))) = join(converse(complement(X_324)),converse(X_324)),
    inference(resolve,[$cnf( $equal(complement(complement(converse(X_324))),converse(X_324)) )],[refute_0_4044,refute_0_4047]) ).

cnf(refute_0_4049,plain,
    ( join(converse(complement(X_324)),complement(complement(converse(X_324)))) != join(converse(complement(X_324)),converse(X_324))
    | join(converse(complement(X_324)),converse(X_324)) != top
    | join(converse(complement(X_324)),complement(complement(converse(X_324)))) = top ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(complement(X_324)),complement(complement(converse(X_324)))))),bind(Y,$fot(join(converse(complement(X_324)),converse(X_324)))),bind(Z,$fot(top))]]) ).

cnf(refute_0_4050,plain,
    ( join(converse(complement(X_324)),converse(X_324)) != top
    | join(converse(complement(X_324)),complement(complement(converse(X_324)))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(complement(X_324)),complement(complement(converse(X_324)))),join(converse(complement(X_324)),converse(X_324))) )],[refute_0_4048,refute_0_4049]) ).

cnf(refute_0_4051,plain,
    join(converse(complement(X_324)),complement(complement(converse(X_324)))) = top,
    inference(resolve,[$cnf( $equal(join(converse(complement(X_324)),converse(X_324)),top) )],[refute_0_4043,refute_0_4050]) ).

cnf(refute_0_4052,plain,
    complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) = complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))),
    introduced(tautology,[refl,[$fot(complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))]]) ).

cnf(refute_0_4053,plain,
    ( complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) != complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))
    | join(converse(complement(X_324)),complement(complement(converse(X_324)))) != top
    | complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_4054,plain,
    ( join(converse(complement(X_324)),complement(complement(converse(X_324)))) != top
    | complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) )],[refute_0_4052,refute_0_4053]) ).

cnf(refute_0_4055,plain,
    complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) = complement(top),
    inference(resolve,[$cnf( $equal(join(converse(complement(X_324)),complement(complement(converse(X_324)))),top) )],[refute_0_4051,refute_0_4054]) ).

cnf(refute_0_4056,plain,
    ( complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) != complement(top)
    | complement(top) != zero
    | complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) = zero ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_4057,plain,
    ( complement(top) != zero
    | complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))),complement(top)) )],[refute_0_4055,refute_0_4056]) ).

cnf(refute_0_4058,plain,
    complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_4057]) ).

cnf(refute_0_4059,plain,
    join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) = join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))),
    introduced(tautology,[refl,[$fot(join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))))]]) ).

cnf(refute_0_4060,plain,
    ( complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) != zero
    | join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) != join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))
    | join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) = join(converse(complement(X_324)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))),join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_4061,plain,
    ( complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))) != zero
    | join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) = join(converse(complement(X_324)),zero) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))),join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))) )],[refute_0_4059,refute_0_4060]) ).

cnf(refute_0_4062,plain,
    join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) = join(converse(complement(X_324)),zero),
    inference(resolve,[$cnf( $equal(complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))),zero) )],[refute_0_4058,refute_0_4061]) ).

cnf(refute_0_4063,plain,
    ( join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) != join(converse(complement(X_324)),zero)
    | join(converse(complement(X_324)),zero) != converse(complement(X_324))
    | join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) = converse(complement(X_324)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))))),bind(Y,$fot(join(converse(complement(X_324)),zero))),bind(Z,$fot(converse(complement(X_324))))]]) ).

cnf(refute_0_4064,plain,
    ( join(converse(complement(X_324)),zero) != converse(complement(X_324))
    | join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) = converse(complement(X_324)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))),join(converse(complement(X_324)),zero)) )],[refute_0_4062,refute_0_4063]) ).

cnf(refute_0_4065,plain,
    join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) = converse(complement(X_324)),
    inference(resolve,[$cnf( $equal(join(converse(complement(X_324)),zero),converse(complement(X_324))) )],[refute_0_4027,refute_0_4064]) ).

cnf(refute_0_4066,plain,
    ( complement(converse(X_324)) != join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))
    | join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))) != converse(complement(X_324))
    | complement(converse(X_324)) = converse(complement(X_324)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(X_324)),converse(complement(X_324))) ),[0],$fot(join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))))]]) ).

cnf(refute_0_4067,plain,
    ( complement(converse(X_324)) != join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))
    | complement(converse(X_324)) = converse(complement(X_324)) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324)))))),converse(complement(X_324))) )],[refute_0_4065,refute_0_4066]) ).

cnf(refute_0_4068,plain,
    complement(converse(X_324)) = converse(complement(X_324)),
    inference(resolve,[$cnf( $equal(complement(converse(X_324)),join(converse(complement(X_324)),complement(join(converse(complement(X_324)),complement(complement(converse(X_324))))))) )],[refute_0_4022,refute_0_4067]) ).

cnf(refute_0_4069,plain,
    ( complement(converse(X_324)) != converse(complement(X_324))
    | converse(complement(X_324)) = complement(converse(X_324)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(complement(converse(X_324)))),bind(Y,$fot(converse(complement(X_324))))]]) ).

cnf(refute_0_4070,plain,
    converse(complement(X_324)) = complement(converse(X_324)),
    inference(resolve,[$cnf( $equal(complement(converse(X_324)),converse(complement(X_324))) )],[refute_0_4068,refute_0_4069]) ).

cnf(refute_0_4071,plain,
    converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
    inference(subst,[],[refute_0_4070:[bind(X_324,$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_4072,plain,
    complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
    introduced(tautology,[refl,[$fot(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_4073,plain,
    ( complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
    | converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
    | complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = complement(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),[1,0],$fot(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_4074,plain,
    ( converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
    | complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = complement(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_4072,refute_0_4073]) ).

cnf(refute_0_4075,plain,
    complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = complement(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
    inference(resolve,[$cnf( $equal(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_4071,refute_0_4074]) ).

cnf(refute_0_4076,plain,
    ( complement(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
    | complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != complement(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
    | complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),bind(Y,$fot(complement(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),bind(Z,$fot(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).

cnf(refute_0_4077,plain,
    ( complement(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
    | complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),complement(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_4075,refute_0_4076]) ).

cnf(refute_0_4078,plain,
    complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(complement(complement(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_3928,refute_0_4077]) ).

cnf(refute_0_4079,plain,
    composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),
    introduced(tautology,[refl,[$fot(composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))]]) ).

cnf(refute_0_4080,plain,
    ( complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
    | composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
    | composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) ),[1,1],$fot(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_4081,plain,
    ( complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
    | composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
    inference(resolve,[$cnf( $equal(composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) )],[refute_0_4079,refute_0_4080]) ).

cnf(refute_0_4082,plain,
    composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_4078,refute_0_4081]) ).

cnf(refute_0_4083,plain,
    composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),
    introduced(tautology,[refl,[$fot(composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))]]) ).

cnf(refute_0_4084,plain,
    ( composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
    | join(one,top) != top
    | composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_4085,plain,
    ( join(one,top) != top
    | composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) )],[refute_0_4083,refute_0_4084]) ).

cnf(refute_0_4086,plain,
    composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2228,refute_0_4085]) ).

cnf(refute_0_4087,plain,
    ( composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
    | composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
    | composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))),bind(Y,$fot(composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))),bind(Z,$fot(composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).

cnf(refute_0_4088,plain,
    ( composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
    | composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) )],[refute_0_4086,refute_0_4087]) ).

cnf(refute_0_4089,plain,
    composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
    inference(resolve,[$cnf( $equal(composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_4082,refute_0_4088]) ).

cnf(refute_0_4090,plain,
    ( composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
    | composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))
    | composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))),bind(Y,$fot(composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),bind(Z,$fot(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))))]]) ).

cnf(refute_0_4091,plain,
    ( composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))
    | composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_4089,refute_0_4090]) ).

cnf(refute_0_4092,plain,
    composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)),
    inference(resolve,[$cnf( $equal(composition(top,converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))) )],[refute_0_3927,refute_0_4091]) ).

cnf(refute_0_4093,plain,
    join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) = composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),
    inference(subst,[],[refute_0_2093:[bind(X1,$fot(top)),bind(X2,$fot(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))]]) ).

cnf(refute_0_4094,plain,
    ( composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))
    | join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) != composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
    | join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) = converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) ),
    inference(subst,[],[refute_0_49:[bind(X,$fot(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))))),bind(Y,$fot(composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))),bind(Z,$fot(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))))]]) ).

cnf(refute_0_4095,plain,
    ( composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))
    | join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) = converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) )],[refute_0_4093,refute_0_4094]) ).

cnf(refute_0_4096,plain,
    join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) = converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))) )],[refute_0_4092,refute_0_4095]) ).

cnf(refute_0_4097,plain,
    ( join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) != complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
    | join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) != converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))
    | converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) = complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),[0],$fot(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_4098,plain,
    ( join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) != complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
    | converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) = complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))) )],[refute_0_4096,refute_0_4097]) ).

cnf(refute_0_4099,plain,
    ( complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
    | converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) != complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
    | converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) = converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),[1],$fot(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_4100,plain,
    ( converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) != complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
    | converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) = converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_4078,refute_0_4099]) ).

cnf(refute_0_4101,plain,
    ( join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) != complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
    | converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) = converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
    inference(resolve,[$cnf( $equal(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_4098,refute_0_4100]) ).

cnf(refute_0_4102,plain,
    converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) = converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),composition(top,complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),complement(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_3898,refute_0_4101]) ).

cnf(refute_0_4103,plain,
    ( converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) != converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
    | converse(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
    | converse(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) ),[0,0],$fot(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_4104,plain,
    ( converse(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
    | converse(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
    inference(resolve,[$cnf( $equal(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)),converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_4102,refute_0_4103]) ).

cnf(refute_0_4105,plain,
    converse(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),
    inference(resolve,[$cnf( $equal(converse(converse(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) )],[refute_0_1,refute_0_4104]) ).

cnf(refute_0_4106,plain,
    converse(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
    inference(subst,[],[refute_0_0:[bind(X0,$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).

cnf(refute_0_4107,plain,
    ( converse(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
    | converse(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
    | meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) ),[0],$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).

cnf(refute_0_4108,plain,
    ( converse(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
    | meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
    inference(resolve,[$cnf( $equal(converse(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_4106,refute_0_4107]) ).

cnf(refute_0_4109,plain,
    meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),
    inference(resolve,[$cnf( $equal(converse(converse(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) )],[refute_0_4105,refute_0_4108]) ).

cnf(refute_0_4110,plain,
    composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
    inference(canonicalize,[],[normalize_0_30]) ).

cnf(refute_0_4111,plain,
    ( meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
    | composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),bind(Y,$fot(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)))]]) ).

cnf(refute_0_4112,plain,
    meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),
    inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_4111,refute_0_4110]) ).

cnf(refute_0_4113,plain,
    $false,
    inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) )],[refute_0_4109,refute_0_4112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : REL019+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n014.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 11:08:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 19.37/19.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.37/19.55  
% 19.37/19.55  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.95/20.14  
%------------------------------------------------------------------------------