%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : REL042+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n012.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 19:45:46 EDT 2022

% Result   : Theorem 29.53s 29.70s
% Output   : CNFRefutation 29.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  176
%            Number of leaves      :  780
% Syntax   : Number of formulae    : 3246 (1593 unt;   0 def)
%            Number of atoms       : 5640 (5639 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives : 4789 (2395   ~;2389   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :   15 (   3 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   : 3064 (  54 sgn  85   !;   1   ?)

% 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] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
     => join(composition(converse(X0),X0),one) = one ) ).

fof(subgoal_0,plain,
    ! [X0] :
      ( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
     => join(composition(converse(X0),X0),one) = one ),
    inference(strip,[],[goals]) ).

fof(negate_0_0,plain,
    ~ ! [X0] :
        ( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
       => join(composition(converse(X0),X0),one) = one ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(canonicalize,[],[converse_cancellativity]) ).

fof(normalize_0_1,plain,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(canonicalize,[],[maddux1_join_commutativity]) ).

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

fof(normalize_0_4,plain,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(canonicalize,[],[converse_multiplicativity]) ).

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

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

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

fof(normalize_0_8,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(canonicalize,[],[composition_identity]) ).

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

fof(normalize_0_10,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(canonicalize,[],[converse_additivity]) ).

fof(normalize_0_11,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(specialize,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(canonicalize,[],[maddux2_join_associativity]) ).

fof(normalize_0_13,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(specialize,[],[normalize_0_12]) ).

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

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

fof(normalize_0_16,plain,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    inference(canonicalize,[],[maddux4_definiton_of_meet]) ).

fof(normalize_0_17,plain,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    inference(specialize,[],[normalize_0_16]) ).

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

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

fof(normalize_0_20,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(canonicalize,[],[def_top]) ).

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

fof(normalize_0_22,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    inference(canonicalize,[],[maddux3_a_kind_of_de_Morgan]) ).

fof(normalize_0_23,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    inference(specialize,[],[normalize_0_22]) ).

fof(normalize_0_24,plain,
    ? [X0] :
      ( join(composition(converse(X0),X0),one) != one
      & ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_25,plain,
    ( join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) != one
    & ! [X1] : meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) = zero ),
    inference(skolemize,[],[normalize_0_24]) ).

fof(normalize_0_26,plain,
    ! [X1] : meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) = zero,
    inference(conjunct,[],[normalize_0_25]) ).

fof(normalize_0_27,plain,
    ! [X1] : meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) = zero,
    inference(specialize,[],[normalize_0_26]) ).

fof(normalize_0_28,plain,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(canonicalize,[],[composition_associativity]) ).

fof(normalize_0_29,plain,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(specialize,[],[normalize_0_28]) ).

fof(normalize_0_30,plain,
    join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) != one,
    inference(conjunct,[],[normalize_0_25]) ).

cnf(refute_0_0,plain,
    join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    join(X0,X1) = join(X1,X0),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( join(X0,X1) != join(X1,X0)
    | join(X1,X0) = join(X0,X1) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).

cnf(refute_0_6,plain,
    join(X1,X0) = join(X0,X1),
    inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_1,refute_0_5]) ).

cnf(refute_0_7,plain,
    join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).

cnf(refute_0_8,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_9,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_7,refute_0_8]) ).

cnf(refute_0_10,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_0,refute_0_9]) ).

cnf(refute_0_11,plain,
    join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(composition(converse(X_24),converse(X_23))))) = complement(converse(X_23)),
    inference(subst,[],[refute_0_10:[bind(X0,$fot(converse(X_24))),bind(X1,$fot(converse(X_23)))]]) ).

cnf(refute_0_12,plain,
    converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_13,plain,
    converse(composition(X_23,X_24)) = composition(converse(X_24),converse(X_23)),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(X_23)),bind(X1,$fot(X_24))]]) ).

cnf(refute_0_14,plain,
    ( converse(composition(X_23,X_24)) != composition(converse(X_24),converse(X_23))
    | composition(converse(X_24),converse(X_23)) = converse(composition(X_23,X_24)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X_23,X_24)))),bind(Y,$fot(composition(converse(X_24),converse(X_23))))]]) ).

cnf(refute_0_15,plain,
    composition(converse(X_24),converse(X_23)) = converse(composition(X_23,X_24)),
    inference(resolve,[$cnf( $equal(converse(composition(X_23,X_24)),composition(converse(X_24),converse(X_23))) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( composition(converse(X_24),converse(X_23)) != converse(composition(X_23,X_24))
    | join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(composition(converse(X_24),converse(X_23))))) != complement(converse(X_23))
    | join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) = complement(converse(X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(composition(converse(X_24),converse(X_23))))),complement(converse(X_23))) ),[0,1,1,0],$fot(converse(composition(X_23,X_24)))]]) ).

cnf(refute_0_17,plain,
    ( join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(composition(converse(X_24),converse(X_23))))) != complement(converse(X_23))
    | join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) = complement(converse(X_23)) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_24),converse(X_23)),converse(composition(X_23,X_24))) )],[refute_0_15,refute_0_16]) ).

cnf(refute_0_18,plain,
    join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) = complement(converse(X_23)),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(composition(converse(X_24),converse(X_23))))),complement(converse(X_23))) )],[refute_0_11,refute_0_17]) ).

cnf(refute_0_19,plain,
    converse(converse(X0)) = X0,
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_20,plain,
    converse(converse(X_24)) = X_24,
    inference(subst,[],[refute_0_19:[bind(X0,$fot(X_24))]]) ).

cnf(refute_0_21,plain,
    composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))) = composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))),
    introduced(tautology,[refl,[$fot(composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))))]]) ).

cnf(refute_0_22,plain,
    ( composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))) != composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))
    | converse(converse(X_24)) != X_24
    | composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))) = composition(X_24,complement(converse(composition(X_23,X_24)))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) ),[1,0],$fot(X_24)]]) ).

cnf(refute_0_23,plain,
    ( converse(converse(X_24)) != X_24
    | composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))) = composition(X_24,complement(converse(composition(X_23,X_24)))) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) )],[refute_0_21,refute_0_22]) ).

cnf(refute_0_24,plain,
    composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))) = composition(X_24,complement(converse(composition(X_23,X_24)))),
    inference(resolve,[$cnf( $equal(converse(converse(X_24)),X_24) )],[refute_0_20,refute_0_23]) ).

cnf(refute_0_25,plain,
    join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) = join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))),
    introduced(tautology,[refl,[$fot(join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))))]]) ).

cnf(refute_0_26,plain,
    ( composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))) != composition(X_24,complement(converse(composition(X_23,X_24))))
    | join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) != join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))))
    | join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) = join(complement(converse(X_23)),composition(X_24,complement(converse(composition(X_23,X_24))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))),join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))))) ),[1,1],$fot(composition(X_24,complement(converse(composition(X_23,X_24)))))]]) ).

cnf(refute_0_27,plain,
    ( composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))) != composition(X_24,complement(converse(composition(X_23,X_24))))
    | join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) = join(complement(converse(X_23)),composition(X_24,complement(converse(composition(X_23,X_24))))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))),join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))))) )],[refute_0_25,refute_0_26]) ).

cnf(refute_0_28,plain,
    join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) = join(complement(converse(X_23)),composition(X_24,complement(converse(composition(X_23,X_24))))),
    inference(resolve,[$cnf( $equal(composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24)))),composition(X_24,complement(converse(composition(X_23,X_24))))) )],[refute_0_24,refute_0_27]) ).

cnf(refute_0_29,plain,
    ( join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) != complement(converse(X_23))
    | join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) != join(complement(converse(X_23)),composition(X_24,complement(converse(composition(X_23,X_24)))))
    | join(complement(converse(X_23)),composition(X_24,complement(converse(composition(X_23,X_24))))) = complement(converse(X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))),complement(converse(X_23))) ),[0],$fot(join(complement(converse(X_23)),composition(X_24,complement(converse(composition(X_23,X_24))))))]]) ).

cnf(refute_0_30,plain,
    ( join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))) != complement(converse(X_23))
    | join(complement(converse(X_23)),composition(X_24,complement(converse(composition(X_23,X_24))))) = complement(converse(X_23)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))),join(complement(converse(X_23)),composition(X_24,complement(converse(composition(X_23,X_24)))))) )],[refute_0_28,refute_0_29]) ).

cnf(refute_0_31,plain,
    join(complement(converse(X_23)),composition(X_24,complement(converse(composition(X_23,X_24))))) = complement(converse(X_23)),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_23)),composition(converse(converse(X_24)),complement(converse(composition(X_23,X_24))))),complement(converse(X_23))) )],[refute_0_18,refute_0_30]) ).

cnf(refute_0_32,plain,
    join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) = complement(converse(complement(one))),
    inference(subst,[],[refute_0_31:[bind(X_23,$fot(complement(one))),bind(X_24,$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_33,plain,
    join(complement(one),composition(converse(X_14),complement(composition(X_14,one)))) = complement(one),
    inference(subst,[],[refute_0_10:[bind(X0,$fot(X_14)),bind(X1,$fot(one))]]) ).

cnf(refute_0_34,plain,
    composition(X0,one) = X0,
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_35,plain,
    composition(X_14,one) = X_14,
    inference(subst,[],[refute_0_34:[bind(X0,$fot(X_14))]]) ).

cnf(refute_0_36,plain,
    ( composition(X_14,one) != X_14
    | join(complement(one),composition(converse(X_14),complement(composition(X_14,one)))) != complement(one)
    | join(complement(one),composition(converse(X_14),complement(X_14))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_14),complement(composition(X_14,one)))),complement(one)) ),[0,1,1,0],$fot(X_14)]]) ).

cnf(refute_0_37,plain,
    ( join(complement(one),composition(converse(X_14),complement(composition(X_14,one)))) != complement(one)
    | join(complement(one),composition(converse(X_14),complement(X_14))) = complement(one) ),
    inference(resolve,[$cnf( $equal(composition(X_14,one),X_14) )],[refute_0_35,refute_0_36]) ).

cnf(refute_0_38,plain,
    join(complement(one),composition(converse(X_14),complement(X_14))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_14),complement(composition(X_14,one)))),complement(one)) )],[refute_0_33,refute_0_37]) ).

cnf(refute_0_39,plain,
    join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) = complement(one),
    inference(subst,[],[refute_0_38:[bind(X_14,$fot(converse(X0)))]]) ).

cnf(refute_0_40,plain,
    ( converse(converse(X0)) != X0
    | join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) != complement(one)
    | join(complement(one),composition(X0,complement(converse(X0)))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))),complement(one)) ),[0,1,0],$fot(X0)]]) ).

cnf(refute_0_41,plain,
    ( join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) != complement(one)
    | join(complement(one),composition(X0,complement(converse(X0)))) = complement(one) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_19,refute_0_40]) ).

cnf(refute_0_42,plain,
    join(complement(one),composition(X0,complement(converse(X0)))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))),complement(one)) )],[refute_0_39,refute_0_41]) ).

cnf(refute_0_43,plain,
    join(complement(one),composition(join(X1,X0),complement(converse(join(X1,X0))))) = complement(one),
    inference(subst,[],[refute_0_42:[bind(X0,$fot(join(X1,X0)))]]) ).

cnf(refute_0_44,plain,
    converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_45,plain,
    join(converse(X0),converse(X1)) = join(converse(X1),converse(X0)),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(X0))),bind(X1,$fot(converse(X1)))]]) ).

cnf(refute_0_46,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_47,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_45,refute_0_46]) ).

cnf(refute_0_48,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_44,refute_0_47]) ).

cnf(refute_0_49,plain,
    ( converse(join(X0,X1)) != join(converse(X0),converse(X1))
    | join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).

cnf(refute_0_50,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_44,refute_0_49]) ).

cnf(refute_0_51,plain,
    join(converse(X1),converse(X0)) = converse(join(X1,X0)),
    inference(subst,[],[refute_0_50:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).

cnf(refute_0_52,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_53,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_51,refute_0_52]) ).

cnf(refute_0_54,plain,
    converse(join(X0,X1)) = converse(join(X1,X0)),
    inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) )],[refute_0_48,refute_0_53]) ).

cnf(refute_0_55,plain,
    ( converse(join(X0,X1)) != converse(join(X1,X0))
    | converse(join(X1,X0)) = converse(join(X0,X1)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(converse(join(X1,X0))))]]) ).

cnf(refute_0_56,plain,
    converse(join(X1,X0)) = converse(join(X0,X1)),
    inference(resolve,[$cnf( $equal(converse(join(X0,X1)),converse(join(X1,X0))) )],[refute_0_54,refute_0_55]) ).

cnf(refute_0_57,plain,
    ( converse(join(X1,X0)) != converse(join(X0,X1))
    | join(complement(one),composition(join(X1,X0),complement(converse(join(X1,X0))))) != complement(one)
    | join(complement(one),composition(join(X1,X0),complement(converse(join(X0,X1))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(X1,X0),complement(converse(join(X1,X0))))),complement(one)) ),[0,1,1,0],$fot(converse(join(X0,X1)))]]) ).

cnf(refute_0_58,plain,
    ( join(complement(one),composition(join(X1,X0),complement(converse(join(X1,X0))))) != complement(one)
    | join(complement(one),composition(join(X1,X0),complement(converse(join(X0,X1))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    join(complement(one),composition(join(X1,X0),complement(converse(join(X0,X1))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(X1,X0),complement(converse(join(X1,X0))))),complement(one)) )],[refute_0_43,refute_0_58]) ).

cnf(refute_0_60,plain,
    join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_421,join(X_42,X_421)))))) = complement(one),
    inference(subst,[],[refute_0_59:[bind(X0,$fot(X_421)),bind(X1,$fot(join(X_42,X_421)))]]) ).

cnf(refute_0_61,plain,
    join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_62,plain,
    join(X_41,join(X_42,X_43)) = join(join(X_41,X_42),X_43),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(X_41)),bind(X1,$fot(X_42)),bind(X2,$fot(X_43))]]) ).

cnf(refute_0_63,plain,
    join(X_42,X_41) = join(X_41,X_42),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(X_42)),bind(X1,$fot(X_41))]]) ).

cnf(refute_0_64,plain,
    ( join(X_42,X_41) != join(X_41,X_42)
    | join(X_41,X_42) = join(X_42,X_41) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_42,X_41))),bind(Y,$fot(join(X_41,X_42)))]]) ).

cnf(refute_0_65,plain,
    join(X_41,X_42) = join(X_42,X_41),
    inference(resolve,[$cnf( $equal(join(X_42,X_41),join(X_41,X_42)) )],[refute_0_63,refute_0_64]) ).

cnf(refute_0_66,plain,
    ( join(X_41,X_42) != join(X_42,X_41)
    | join(X_41,join(X_42,X_43)) != join(join(X_41,X_42),X_43)
    | join(X_41,join(X_42,X_43)) = join(join(X_42,X_41),X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(X_42,X_43)),join(join(X_41,X_42),X_43)) ),[1,0],$fot(join(X_42,X_41))]]) ).

cnf(refute_0_67,plain,
    ( join(X_41,join(X_42,X_43)) != join(join(X_41,X_42),X_43)
    | join(X_41,join(X_42,X_43)) = join(join(X_42,X_41),X_43) ),
    inference(resolve,[$cnf( $equal(join(X_41,X_42),join(X_42,X_41)) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    join(X_41,join(X_42,X_43)) = join(join(X_42,X_41),X_43),
    inference(resolve,[$cnf( $equal(join(X_41,join(X_42,X_43)),join(join(X_41,X_42),X_43)) )],[refute_0_62,refute_0_67]) ).

cnf(refute_0_69,plain,
    ( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
    | join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).

cnf(refute_0_70,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_61,refute_0_69]) ).

cnf(refute_0_71,plain,
    join(join(X_42,X_41),X_43) = join(X_42,join(X_41,X_43)),
    inference(subst,[],[refute_0_70:[bind(X0,$fot(X_42)),bind(X1,$fot(X_41)),bind(X2,$fot(X_43))]]) ).

cnf(refute_0_72,plain,
    ( join(X_41,join(X_42,X_43)) != join(join(X_42,X_41),X_43)
    | join(join(X_42,X_41),X_43) != join(X_42,join(X_41,X_43))
    | join(X_41,join(X_42,X_43)) = join(X_42,join(X_41,X_43)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_41,join(X_42,X_43)),join(X_42,join(X_41,X_43))) ),[0],$fot(join(join(X_42,X_41),X_43))]]) ).

cnf(refute_0_73,plain,
    ( join(X_41,join(X_42,X_43)) != join(join(X_42,X_41),X_43)
    | join(X_41,join(X_42,X_43)) = join(X_42,join(X_41,X_43)) ),
    inference(resolve,[$cnf( $equal(join(join(X_42,X_41),X_43),join(X_42,join(X_41,X_43))) )],[refute_0_71,refute_0_72]) ).

cnf(refute_0_74,plain,
    join(X_41,join(X_42,X_43)) = join(X_42,join(X_41,X_43)),
    inference(resolve,[$cnf( $equal(join(X_41,join(X_42,X_43)),join(join(X_42,X_41),X_43)) )],[refute_0_68,refute_0_73]) ).

cnf(refute_0_75,plain,
    join(X_43,join(X_42,X_43)) = join(X_42,join(X_43,X_43)),
    inference(subst,[],[refute_0_74:[bind(X_41,$fot(X_43))]]) ).

cnf(refute_0_76,plain,
    composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_77,plain,
    composition(join(X_67,one),X_69) = join(composition(X_67,X_69),composition(one,X_69)),
    inference(subst,[],[refute_0_76:[bind(X0,$fot(X_67)),bind(X1,$fot(one)),bind(X2,$fot(X_69))]]) ).

cnf(refute_0_78,plain,
    converse(composition(converse(X0),X_24)) = composition(converse(X_24),converse(converse(X0))),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_24))]]) ).

cnf(refute_0_79,plain,
    ( converse(composition(converse(X0),X_24)) != composition(converse(X_24),converse(converse(X0)))
    | converse(converse(X0)) != X0
    | converse(composition(converse(X0),X_24)) = composition(converse(X_24),X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_24)),composition(converse(X_24),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).

cnf(refute_0_80,plain,
    ( converse(composition(converse(X0),X_24)) != composition(converse(X_24),converse(converse(X0)))
    | converse(composition(converse(X0),X_24)) = composition(converse(X_24),X0) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_19,refute_0_79]) ).

cnf(refute_0_81,plain,
    converse(composition(converse(X0),X_24)) = composition(converse(X_24),X0),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_24)),composition(converse(X_24),converse(converse(X0)))) )],[refute_0_78,refute_0_80]) ).

cnf(refute_0_82,plain,
    converse(composition(converse(X_26),one)) = composition(converse(one),X_26),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(X_26)),bind(X_24,$fot(one))]]) ).

cnf(refute_0_83,plain,
    composition(converse(X_26),one) = converse(X_26),
    inference(subst,[],[refute_0_34:[bind(X0,$fot(converse(X_26)))]]) ).

cnf(refute_0_84,plain,
    ( composition(converse(X_26),one) != converse(X_26)
    | converse(composition(converse(X_26),one)) != composition(converse(one),X_26)
    | converse(converse(X_26)) = composition(converse(one),X_26) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_26),one)),composition(converse(one),X_26)) ),[0,0],$fot(converse(X_26))]]) ).

cnf(refute_0_85,plain,
    ( converse(composition(converse(X_26),one)) != composition(converse(one),X_26)
    | converse(converse(X_26)) = composition(converse(one),X_26) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_26),one),converse(X_26)) )],[refute_0_83,refute_0_84]) ).

cnf(refute_0_86,plain,
    converse(converse(X_26)) = composition(converse(one),X_26),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_26),one)),composition(converse(one),X_26)) )],[refute_0_82,refute_0_85]) ).

cnf(refute_0_87,plain,
    converse(converse(X_26)) = X_26,
    inference(subst,[],[refute_0_19:[bind(X0,$fot(X_26))]]) ).

cnf(refute_0_88,plain,
    ( converse(converse(X_26)) != X_26
    | converse(converse(X_26)) != composition(converse(one),X_26)
    | X_26 = composition(converse(one),X_26) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_26)),composition(converse(one),X_26)) ),[0],$fot(X_26)]]) ).

cnf(refute_0_89,plain,
    ( converse(converse(X_26)) != composition(converse(one),X_26)
    | X_26 = composition(converse(one),X_26) ),
    inference(resolve,[$cnf( $equal(converse(converse(X_26)),X_26) )],[refute_0_87,refute_0_88]) ).

cnf(refute_0_90,plain,
    X_26 = composition(converse(one),X_26),
    inference(resolve,[$cnf( $equal(converse(converse(X_26)),composition(converse(one),X_26)) )],[refute_0_86,refute_0_89]) ).

cnf(refute_0_91,plain,
    composition(converse(one),one) = converse(one),
    inference(subst,[],[refute_0_34:[bind(X0,$fot(converse(one)))]]) ).

cnf(refute_0_92,plain,
    one = composition(converse(one),one),
    inference(subst,[],[refute_0_90:[bind(X_26,$fot(one))]]) ).

cnf(refute_0_93,plain,
    ( one != composition(converse(one),one)
    | composition(converse(one),one) = one ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).

cnf(refute_0_94,plain,
    composition(converse(one),one) = one,
    inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_92,refute_0_93]) ).

cnf(refute_0_95,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_96,plain,
    ( composition(converse(one),one) != converse(one)
    | one = converse(one) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_94,refute_0_95]) ).

cnf(refute_0_97,plain,
    one = converse(one),
    inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_91,refute_0_96]) ).

cnf(refute_0_98,plain,
    ( one != converse(one)
    | converse(one) = one ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).

cnf(refute_0_99,plain,
    converse(one) = one,
    inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    composition(converse(one),X_26) = composition(converse(one),X_26),
    introduced(tautology,[refl,[$fot(composition(converse(one),X_26))]]) ).

cnf(refute_0_101,plain,
    ( composition(converse(one),X_26) != composition(converse(one),X_26)
    | converse(one) != one
    | composition(converse(one),X_26) = composition(one,X_26) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_26),composition(converse(one),X_26)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_102,plain,
    ( converse(one) != one
    | composition(converse(one),X_26) = composition(one,X_26) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),X_26),composition(converse(one),X_26)) )],[refute_0_100,refute_0_101]) ).

cnf(refute_0_103,plain,
    composition(converse(one),X_26) = composition(one,X_26),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_99,refute_0_102]) ).

cnf(refute_0_104,plain,
    ( X_26 != composition(converse(one),X_26)
    | composition(converse(one),X_26) != composition(one,X_26)
    | X_26 = composition(one,X_26) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_26,composition(one,X_26)) ),[0],$fot(composition(converse(one),X_26))]]) ).

cnf(refute_0_105,plain,
    ( X_26 != composition(converse(one),X_26)
    | X_26 = composition(one,X_26) ),
    inference(resolve,[$cnf( $equal(composition(converse(one),X_26),composition(one,X_26)) )],[refute_0_103,refute_0_104]) ).

cnf(refute_0_106,plain,
    X_26 = composition(one,X_26),
    inference(resolve,[$cnf( $equal(X_26,composition(converse(one),X_26)) )],[refute_0_90,refute_0_105]) ).

cnf(refute_0_107,plain,
    X_69 = composition(one,X_69),
    inference(subst,[],[refute_0_106:[bind(X_26,$fot(X_69))]]) ).

cnf(refute_0_108,plain,
    ( X_69 != composition(one,X_69)
    | composition(one,X_69) = X_69 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_69)),bind(Y,$fot(composition(one,X_69)))]]) ).

cnf(refute_0_109,plain,
    composition(one,X_69) = X_69,
    inference(resolve,[$cnf( $equal(X_69,composition(one,X_69)) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    ( composition(join(X_67,one),X_69) != join(composition(X_67,X_69),composition(one,X_69))
    | composition(one,X_69) != X_69
    | composition(join(X_67,one),X_69) = join(composition(X_67,X_69),X_69) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X_67,one),X_69),join(composition(X_67,X_69),composition(one,X_69))) ),[1,1],$fot(X_69)]]) ).

cnf(refute_0_111,plain,
    ( composition(join(X_67,one),X_69) != join(composition(X_67,X_69),composition(one,X_69))
    | composition(join(X_67,one),X_69) = join(composition(X_67,X_69),X_69) ),
    inference(resolve,[$cnf( $equal(composition(one,X_69),X_69) )],[refute_0_109,refute_0_110]) ).

cnf(refute_0_112,plain,
    composition(join(X_67,one),X_69) = join(composition(X_67,X_69),X_69),
    inference(resolve,[$cnf( $equal(composition(join(X_67,one),X_69),join(composition(X_67,X_69),composition(one,X_69))) )],[refute_0_77,refute_0_111]) ).

cnf(refute_0_113,plain,
    join(composition(X_67,X_69),X_69) = join(X_69,composition(X_67,X_69)),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(X_69)),bind(X1,$fot(composition(X_67,X_69)))]]) ).

cnf(refute_0_114,plain,
    ( composition(join(X_67,one),X_69) != join(composition(X_67,X_69),X_69)
    | join(composition(X_67,X_69),X_69) != join(X_69,composition(X_67,X_69))
    | composition(join(X_67,one),X_69) = join(X_69,composition(X_67,X_69)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_67,one),X_69),join(X_69,composition(X_67,X_69))) ),[0],$fot(join(composition(X_67,X_69),X_69))]]) ).

cnf(refute_0_115,plain,
    ( composition(join(X_67,one),X_69) != join(composition(X_67,X_69),X_69)
    | composition(join(X_67,one),X_69) = join(X_69,composition(X_67,X_69)) ),
    inference(resolve,[$cnf( $equal(join(composition(X_67,X_69),X_69),join(X_69,composition(X_67,X_69))) )],[refute_0_113,refute_0_114]) ).

cnf(refute_0_116,plain,
    composition(join(X_67,one),X_69) = join(X_69,composition(X_67,X_69)),
    inference(resolve,[$cnf( $equal(composition(join(X_67,one),X_69),join(composition(X_67,X_69),X_69)) )],[refute_0_112,refute_0_115]) ).

cnf(refute_0_117,plain,
    composition(join(one,one),X_256) = join(X_256,composition(one,X_256)),
    inference(subst,[],[refute_0_116:[bind(X_67,$fot(one)),bind(X_69,$fot(X_256))]]) ).

cnf(refute_0_118,plain,
    X_256 = composition(one,X_256),
    inference(subst,[],[refute_0_106:[bind(X_26,$fot(X_256))]]) ).

cnf(refute_0_119,plain,
    ( X_256 != composition(one,X_256)
    | composition(one,X_256) = X_256 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_256)),bind(Y,$fot(composition(one,X_256)))]]) ).

cnf(refute_0_120,plain,
    composition(one,X_256) = X_256,
    inference(resolve,[$cnf( $equal(X_256,composition(one,X_256)) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    ( composition(join(one,one),X_256) != join(X_256,composition(one,X_256))
    | composition(one,X_256) != X_256
    | composition(join(one,one),X_256) = join(X_256,X_256) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_256),join(X_256,composition(one,X_256))) ),[1,1],$fot(X_256)]]) ).

cnf(refute_0_122,plain,
    ( composition(join(one,one),X_256) != join(X_256,composition(one,X_256))
    | composition(join(one,one),X_256) = join(X_256,X_256) ),
    inference(resolve,[$cnf( $equal(composition(one,X_256),X_256) )],[refute_0_120,refute_0_121]) ).

cnf(refute_0_123,plain,
    composition(join(one,one),X_256) = join(X_256,X_256),
    inference(resolve,[$cnf( $equal(composition(join(one,one),X_256),join(X_256,composition(one,X_256))) )],[refute_0_117,refute_0_122]) ).

cnf(refute_0_124,plain,
    composition(join(one,one),one) = join(one,one),
    inference(subst,[],[refute_0_34:[bind(X0,$fot(join(one,one)))]]) ).

cnf(refute_0_125,plain,
    join(complement(converse(X_76)),composition(one,complement(converse(composition(X_76,one))))) = complement(converse(X_76)),
    inference(subst,[],[refute_0_31:[bind(X_23,$fot(X_76)),bind(X_24,$fot(one))]]) ).

cnf(refute_0_126,plain,
    composition(X_76,one) = X_76,
    inference(subst,[],[refute_0_34:[bind(X0,$fot(X_76))]]) ).

cnf(refute_0_127,plain,
    ( composition(X_76,one) != X_76
    | join(complement(converse(X_76)),composition(one,complement(converse(composition(X_76,one))))) != complement(converse(X_76))
    | join(complement(converse(X_76)),composition(one,complement(converse(X_76)))) = complement(converse(X_76)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_76)),composition(one,complement(converse(composition(X_76,one))))),complement(converse(X_76))) ),[0,1,1,0,0],$fot(X_76)]]) ).

cnf(refute_0_128,plain,
    ( join(complement(converse(X_76)),composition(one,complement(converse(composition(X_76,one))))) != complement(converse(X_76))
    | join(complement(converse(X_76)),composition(one,complement(converse(X_76)))) = complement(converse(X_76)) ),
    inference(resolve,[$cnf( $equal(composition(X_76,one),X_76) )],[refute_0_126,refute_0_127]) ).

cnf(refute_0_129,plain,
    join(complement(converse(X_76)),composition(one,complement(converse(X_76)))) = complement(converse(X_76)),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_76)),composition(one,complement(converse(composition(X_76,one))))),complement(converse(X_76))) )],[refute_0_125,refute_0_128]) ).

cnf(refute_0_130,plain,
    ( composition(join(X_67,one),X_69) != join(X_69,composition(X_67,X_69))
    | join(X_69,composition(X_67,X_69)) = composition(join(X_67,one),X_69) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_67,one),X_69))),bind(Y,$fot(join(X_69,composition(X_67,X_69))))]]) ).

cnf(refute_0_131,plain,
    join(X_69,composition(X_67,X_69)) = composition(join(X_67,one),X_69),
    inference(resolve,[$cnf( $equal(composition(join(X_67,one),X_69),join(X_69,composition(X_67,X_69))) )],[refute_0_116,refute_0_130]) ).

cnf(refute_0_132,plain,
    join(complement(converse(X_76)),composition(one,complement(converse(X_76)))) = composition(join(one,one),complement(converse(X_76))),
    inference(subst,[],[refute_0_131:[bind(X_67,$fot(one)),bind(X_69,$fot(complement(converse(X_76))))]]) ).

cnf(refute_0_133,plain,
    ( join(complement(converse(X_76)),composition(one,complement(converse(X_76)))) != complement(converse(X_76))
    | join(complement(converse(X_76)),composition(one,complement(converse(X_76)))) != composition(join(one,one),complement(converse(X_76)))
    | composition(join(one,one),complement(converse(X_76))) = complement(converse(X_76)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_76)),composition(one,complement(converse(X_76)))),complement(converse(X_76))) ),[0],$fot(composition(join(one,one),complement(converse(X_76))))]]) ).

cnf(refute_0_134,plain,
    ( join(complement(converse(X_76)),composition(one,complement(converse(X_76)))) != complement(converse(X_76))
    | composition(join(one,one),complement(converse(X_76))) = complement(converse(X_76)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_76)),composition(one,complement(converse(X_76)))),composition(join(one,one),complement(converse(X_76)))) )],[refute_0_132,refute_0_133]) ).

cnf(refute_0_135,plain,
    composition(join(one,one),complement(converse(X_76))) = complement(converse(X_76)),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_76)),composition(one,complement(converse(X_76)))),complement(converse(X_76))) )],[refute_0_129,refute_0_134]) ).

cnf(refute_0_136,plain,
    composition(join(one,one),complement(converse(converse(X0)))) = complement(converse(converse(X0))),
    inference(subst,[],[refute_0_135:[bind(X_76,$fot(converse(X0)))]]) ).

cnf(refute_0_137,plain,
    ( composition(join(one,one),complement(converse(converse(X0)))) != complement(converse(converse(X0)))
    | converse(converse(X0)) != X0
    | composition(join(one,one),complement(X0)) = complement(converse(converse(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(converse(converse(X0)))),complement(converse(converse(X0)))) ),[0,1,0],$fot(X0)]]) ).

cnf(refute_0_138,plain,
    ( composition(join(one,one),complement(converse(converse(X0)))) != complement(converse(converse(X0)))
    | composition(join(one,one),complement(X0)) = complement(converse(converse(X0))) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_19,refute_0_137]) ).

cnf(refute_0_139,plain,
    composition(join(one,one),complement(X0)) = complement(converse(converse(X0))),
    inference(resolve,[$cnf( $equal(composition(join(one,one),complement(converse(converse(X0)))),complement(converse(converse(X0)))) )],[refute_0_136,refute_0_138]) ).

cnf(refute_0_140,plain,
    complement(converse(converse(X0))) = complement(converse(converse(X0))),
    introduced(tautology,[refl,[$fot(complement(converse(converse(X0))))]]) ).

cnf(refute_0_141,plain,
    ( complement(converse(converse(X0))) != complement(converse(converse(X0)))
    | converse(converse(X0)) != X0
    | complement(converse(converse(X0))) = complement(X0) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) ),[1,0],$fot(X0)]]) ).

cnf(refute_0_142,plain,
    ( converse(converse(X0)) != X0
    | complement(converse(converse(X0))) = complement(X0) ),
    inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    complement(converse(converse(X0))) = complement(X0),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_19,refute_0_142]) ).

cnf(refute_0_144,plain,
    ( complement(converse(converse(X0))) != complement(X0)
    | composition(join(one,one),complement(X0)) != complement(converse(converse(X0)))
    | composition(join(one,one),complement(X0)) = complement(X0) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(X0)),complement(converse(converse(X0)))) ),[1],$fot(complement(X0))]]) ).

cnf(refute_0_145,plain,
    ( composition(join(one,one),complement(X0)) != complement(converse(converse(X0)))
    | composition(join(one,one),complement(X0)) = complement(X0) ),
    inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    composition(join(one,one),complement(X0)) = complement(X0),
    inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X0)),complement(converse(converse(X0)))) )],[refute_0_139,refute_0_145]) ).

cnf(refute_0_147,plain,
    composition(join(one,one),complement(complement(X_95))) = complement(complement(X_95)),
    inference(subst,[],[refute_0_146:[bind(X0,$fot(complement(X_95)))]]) ).

cnf(refute_0_148,plain,
    meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_149,plain,
    meet(top,X1) = complement(join(complement(top),complement(X1))),
    inference(subst,[],[refute_0_148:[bind(X0,$fot(top))]]) ).

cnf(refute_0_150,plain,
    zero = meet(X0,complement(X0)),
    inference(canonicalize,[],[normalize_0_19]) ).

cnf(refute_0_151,plain,
    zero = meet(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20)))),
    inference(subst,[],[refute_0_150:[bind(X0,$fot(join(complement(X_19),complement(X_20))))]]) ).

cnf(refute_0_152,plain,
    meet(X_19,X_20) = complement(join(complement(X_19),complement(X_20))),
    inference(subst,[],[refute_0_148:[bind(X0,$fot(X_19)),bind(X1,$fot(X_20))]]) ).

cnf(refute_0_153,plain,
    ( meet(X_19,X_20) != complement(join(complement(X_19),complement(X_20)))
    | complement(join(complement(X_19),complement(X_20))) = meet(X_19,X_20) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_19,X_20))),bind(Y,$fot(complement(join(complement(X_19),complement(X_20)))))]]) ).

cnf(refute_0_154,plain,
    complement(join(complement(X_19),complement(X_20))) = meet(X_19,X_20),
    inference(resolve,[$cnf( $equal(meet(X_19,X_20),complement(join(complement(X_19),complement(X_20)))) )],[refute_0_152,refute_0_153]) ).

cnf(refute_0_155,plain,
    ( complement(join(complement(X_19),complement(X_20))) != meet(X_19,X_20)
    | zero != meet(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))
    | zero = meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))) ),[1,1],$fot(meet(X_19,X_20))]]) ).

cnf(refute_0_156,plain,
    ( zero != meet(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))
    | zero = meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_19),complement(X_20))),meet(X_19,X_20)) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    zero = meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)),
    inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))) )],[refute_0_151,refute_0_156]) ).

cnf(refute_0_158,plain,
    top = join(X0,complement(X0)),
    inference(canonicalize,[],[normalize_0_21]) ).

cnf(refute_0_159,plain,
    ( top != join(X0,complement(X0))
    | join(X0,complement(X0)) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).

cnf(refute_0_160,plain,
    join(X0,complement(X0)) = top,
    inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    join(meet(X_19,X_20),complement(meet(X_19,X_20))) = top,
    inference(subst,[],[refute_0_160:[bind(X0,$fot(meet(X_19,X_20)))]]) ).

cnf(refute_0_162,plain,
    complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) = complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))),
    introduced(tautology,[refl,[$fot(complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))))]]) ).

cnf(refute_0_163,plain,
    ( complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) != complement(join(meet(X_19,X_20),complement(meet(X_19,X_20))))
    | join(meet(X_19,X_20),complement(meet(X_19,X_20))) != top
    | complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))),complement(join(meet(X_19,X_20),complement(meet(X_19,X_20))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_164,plain,
    ( join(meet(X_19,X_20),complement(meet(X_19,X_20))) != top
    | complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))),complement(join(meet(X_19,X_20),complement(meet(X_19,X_20))))) )],[refute_0_162,refute_0_163]) ).

cnf(refute_0_165,plain,
    complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) = complement(top),
    inference(resolve,[$cnf( $equal(join(meet(X_19,X_20),complement(meet(X_19,X_20))),top) )],[refute_0_161,refute_0_164]) ).

cnf(refute_0_166,plain,
    meet(join(complement(X_19),complement(X_20)),X1) = complement(join(complement(join(complement(X_19),complement(X_20))),complement(X1))),
    inference(subst,[],[refute_0_148:[bind(X0,$fot(join(complement(X_19),complement(X_20))))]]) ).

cnf(refute_0_167,plain,
    ( complement(join(complement(X_19),complement(X_20))) != meet(X_19,X_20)
    | meet(join(complement(X_19),complement(X_20)),X1) != complement(join(complement(join(complement(X_19),complement(X_20))),complement(X1)))
    | meet(join(complement(X_19),complement(X_20)),X1) = complement(join(meet(X_19,X_20),complement(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),X1),complement(join(complement(join(complement(X_19),complement(X_20))),complement(X1)))) ),[1,0,0],$fot(meet(X_19,X_20))]]) ).

cnf(refute_0_168,plain,
    ( meet(join(complement(X_19),complement(X_20)),X1) != complement(join(complement(join(complement(X_19),complement(X_20))),complement(X1)))
    | meet(join(complement(X_19),complement(X_20)),X1) = complement(join(meet(X_19,X_20),complement(X1))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_19),complement(X_20))),meet(X_19,X_20)) )],[refute_0_154,refute_0_167]) ).

cnf(refute_0_169,plain,
    meet(join(complement(X_19),complement(X_20)),X1) = complement(join(meet(X_19,X_20),complement(X1))),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),X1),complement(join(complement(join(complement(X_19),complement(X_20))),complement(X1)))) )],[refute_0_166,refute_0_168]) ).

cnf(refute_0_170,plain,
    meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) = complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))),
    inference(subst,[],[refute_0_169:[bind(X1,$fot(meet(X_19,X_20)))]]) ).

cnf(refute_0_171,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_172,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_171]) ).

cnf(refute_0_173,plain,
    ( complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) != complement(top)
    | meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) != complement(join(meet(X_19,X_20),complement(meet(X_19,X_20))))
    | meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) = complement(top) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)))),bind(Y,$fot(complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))))),bind(Z,$fot(complement(top)))]]) ).

cnf(refute_0_174,plain,
    ( complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) != complement(top)
    | meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) = complement(top) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)),complement(join(meet(X_19,X_20),complement(meet(X_19,X_20))))) )],[refute_0_170,refute_0_173]) ).

cnf(refute_0_175,plain,
    meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) = complement(top),
    inference(resolve,[$cnf( $equal(complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))),complement(top)) )],[refute_0_165,refute_0_174]) ).

cnf(refute_0_176,plain,
    ( meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) != complement(top)
    | zero != meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20))
    | zero = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20))) ),[1],$fot(complement(top))]]) ).

cnf(refute_0_177,plain,
    ( zero != meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20))
    | zero = complement(top) ),
    inference(resolve,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)),complement(top)) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    zero = complement(top),
    inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20))) )],[refute_0_157,refute_0_177]) ).

cnf(refute_0_179,plain,
    ( zero != complement(top)
    | complement(top) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).

cnf(refute_0_180,plain,
    complement(top) = zero,
    inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_178,refute_0_179]) ).

cnf(refute_0_181,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_182,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_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    meet(top,X1) = complement(join(zero,complement(X1))),
    inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_149,refute_0_182]) ).

cnf(refute_0_184,plain,
    X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    inference(canonicalize,[],[normalize_0_23]) ).

cnf(refute_0_185,plain,
    join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).

cnf(refute_0_186,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_187,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_185,refute_0_186]) ).

cnf(refute_0_188,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_184,refute_0_187]) ).

cnf(refute_0_189,plain,
    join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).

cnf(refute_0_190,plain,
    ( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
    | complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).

cnf(refute_0_191,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_148,refute_0_190]) ).

cnf(refute_0_192,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_193,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_194,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_192,refute_0_193]) ).

cnf(refute_0_195,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_191,refute_0_194]) ).

cnf(refute_0_196,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_172:[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_197,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_195,refute_0_196]) ).

cnf(refute_0_198,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_189,refute_0_197]) ).

cnf(refute_0_199,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_200,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_198,refute_0_199]) ).

cnf(refute_0_201,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_188,refute_0_200]) ).

cnf(refute_0_202,plain,
    X_85 = join(meet(X_85,top),complement(join(complement(X_85),top))),
    inference(subst,[],[refute_0_201:[bind(X0,$fot(X_85)),bind(X1,$fot(top))]]) ).

cnf(refute_0_203,plain,
    join(X_41,join(complement(X_41),X_43)) = join(join(X_41,complement(X_41)),X_43),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(X_41)),bind(X1,$fot(complement(X_41))),bind(X2,$fot(X_43))]]) ).

cnf(refute_0_204,plain,
    top = join(X_41,complement(X_41)),
    inference(subst,[],[refute_0_158:[bind(X0,$fot(X_41))]]) ).

cnf(refute_0_205,plain,
    ( top != join(X_41,complement(X_41))
    | join(X_41,complement(X_41)) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_41,complement(X_41))))]]) ).

cnf(refute_0_206,plain,
    join(X_41,complement(X_41)) = top,
    inference(resolve,[$cnf( $equal(top,join(X_41,complement(X_41))) )],[refute_0_204,refute_0_205]) ).

cnf(refute_0_207,plain,
    ( join(X_41,complement(X_41)) != top
    | join(X_41,join(complement(X_41),X_43)) != join(join(X_41,complement(X_41)),X_43)
    | join(X_41,join(complement(X_41),X_43)) = join(top,X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(complement(X_41),X_43)),join(join(X_41,complement(X_41)),X_43)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_208,plain,
    ( join(X_41,join(complement(X_41),X_43)) != join(join(X_41,complement(X_41)),X_43)
    | join(X_41,join(complement(X_41),X_43)) = join(top,X_43) ),
    inference(resolve,[$cnf( $equal(join(X_41,complement(X_41)),top) )],[refute_0_206,refute_0_207]) ).

cnf(refute_0_209,plain,
    join(X_41,join(complement(X_41),X_43)) = join(top,X_43),
    inference(resolve,[$cnf( $equal(join(X_41,join(complement(X_41),X_43)),join(join(X_41,complement(X_41)),X_43)) )],[refute_0_203,refute_0_208]) ).

cnf(refute_0_210,plain,
    join(X_51,join(complement(X_51),complement(complement(X_51)))) = join(top,complement(complement(X_51))),
    inference(subst,[],[refute_0_209:[bind(X_41,$fot(X_51)),bind(X_43,$fot(complement(complement(X_51))))]]) ).

cnf(refute_0_211,plain,
    top = join(complement(X_51),complement(complement(X_51))),
    inference(subst,[],[refute_0_158:[bind(X0,$fot(complement(X_51)))]]) ).

cnf(refute_0_212,plain,
    ( top != join(complement(X_51),complement(complement(X_51)))
    | join(complement(X_51),complement(complement(X_51))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_51),complement(complement(X_51)))))]]) ).

cnf(refute_0_213,plain,
    join(complement(X_51),complement(complement(X_51))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(X_51),complement(complement(X_51)))) )],[refute_0_211,refute_0_212]) ).

cnf(refute_0_214,plain,
    ( join(X_51,join(complement(X_51),complement(complement(X_51)))) != join(top,complement(complement(X_51)))
    | join(complement(X_51),complement(complement(X_51))) != top
    | join(X_51,top) = join(top,complement(complement(X_51))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_51,join(complement(X_51),complement(complement(X_51)))),join(top,complement(complement(X_51)))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_215,plain,
    ( join(X_51,join(complement(X_51),complement(complement(X_51)))) != join(top,complement(complement(X_51)))
    | join(X_51,top) = join(top,complement(complement(X_51))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_51),complement(complement(X_51))),top) )],[refute_0_213,refute_0_214]) ).

cnf(refute_0_216,plain,
    join(X_51,top) = join(top,complement(complement(X_51))),
    inference(resolve,[$cnf( $equal(join(X_51,join(complement(X_51),complement(complement(X_51)))),join(top,complement(complement(X_51)))) )],[refute_0_210,refute_0_215]) ).

cnf(refute_0_217,plain,
    join(X_41,join(complement(X_41),complement(X_41))) = join(top,complement(X_41)),
    inference(subst,[],[refute_0_209:[bind(X_43,$fot(complement(X_41)))]]) ).

cnf(refute_0_218,plain,
    join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) = complement(X1),
    inference(subst,[],[refute_0_10:[bind(X0,$fot(converse(one)))]]) ).

cnf(refute_0_219,plain,
    X1 = composition(converse(one),X1),
    inference(subst,[],[refute_0_90:[bind(X_26,$fot(X1))]]) ).

cnf(refute_0_220,plain,
    ( X1 != composition(converse(one),X1)
    | composition(converse(one),X1) = X1 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X1)),bind(Y,$fot(composition(converse(one),X1)))]]) ).

cnf(refute_0_221,plain,
    composition(converse(one),X1) = X1,
    inference(resolve,[$cnf( $equal(X1,composition(converse(one),X1)) )],[refute_0_219,refute_0_220]) ).

cnf(refute_0_222,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_223,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_221,refute_0_222]) ).

cnf(refute_0_224,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_218,refute_0_223]) ).

cnf(refute_0_225,plain,
    converse(converse(one)) = one,
    inference(subst,[],[refute_0_19:[bind(X0,$fot(one))]]) ).

cnf(refute_0_226,plain,
    composition(converse(converse(one)),complement(X1)) = composition(converse(converse(one)),complement(X1)),
    introduced(tautology,[refl,[$fot(composition(converse(converse(one)),complement(X1)))]]) ).

cnf(refute_0_227,plain,
    ( composition(converse(converse(one)),complement(X1)) != composition(converse(converse(one)),complement(X1))
    | converse(converse(one)) != one
    | composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(converse(converse(one)),complement(X1))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_228,plain,
    ( converse(converse(one)) != one
    | composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)) ),
    inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(converse(converse(one)),complement(X1))) )],[refute_0_226,refute_0_227]) ).

cnf(refute_0_229,plain,
    composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)),
    inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_225,refute_0_228]) ).

cnf(refute_0_230,plain,
    join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(converse(converse(one)),complement(X1))),
    introduced(tautology,[refl,[$fot(join(complement(X1),composition(converse(converse(one)),complement(X1))))]]) ).

cnf(refute_0_231,plain,
    ( composition(converse(converse(one)),complement(X1)) != composition(one,complement(X1))
    | join(complement(X1),composition(converse(converse(one)),complement(X1))) != join(complement(X1),composition(converse(converse(one)),complement(X1)))
    | join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(converse(converse(one)),complement(X1)))) ),[1,1],$fot(composition(one,complement(X1)))]]) ).

cnf(refute_0_232,plain,
    ( composition(converse(converse(one)),complement(X1)) != composition(one,complement(X1))
    | join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))) ),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(converse(converse(one)),complement(X1)))) )],[refute_0_230,refute_0_231]) ).

cnf(refute_0_233,plain,
    join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))),
    inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(one,complement(X1))) )],[refute_0_229,refute_0_232]) ).

cnf(refute_0_234,plain,
    ( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
    | join(complement(X1),composition(converse(converse(one)),complement(X1))) != join(complement(X1),composition(one,complement(X1)))
    | join(complement(X1),composition(one,complement(X1))) = complement(X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) ),[0],$fot(join(complement(X1),composition(one,complement(X1))))]]) ).

cnf(refute_0_235,plain,
    ( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
    | join(complement(X1),composition(one,complement(X1))) = complement(X1) ),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(one,complement(X1)))) )],[refute_0_233,refute_0_234]) ).

cnf(refute_0_236,plain,
    join(complement(X1),composition(one,complement(X1))) = complement(X1),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) )],[refute_0_224,refute_0_235]) ).

cnf(refute_0_237,plain,
    ( X_26 != composition(one,X_26)
    | composition(one,X_26) = X_26 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_26)),bind(Y,$fot(composition(one,X_26)))]]) ).

cnf(refute_0_238,plain,
    composition(one,X_26) = X_26,
    inference(resolve,[$cnf( $equal(X_26,composition(one,X_26)) )],[refute_0_106,refute_0_237]) ).

cnf(refute_0_239,plain,
    composition(one,complement(X1)) = complement(X1),
    inference(subst,[],[refute_0_238:[bind(X_26,$fot(complement(X1)))]]) ).

cnf(refute_0_240,plain,
    join(complement(X1),composition(one,complement(X1))) = join(complement(X1),composition(one,complement(X1))),
    introduced(tautology,[refl,[$fot(join(complement(X1),composition(one,complement(X1))))]]) ).

cnf(refute_0_241,plain,
    ( composition(one,complement(X1)) != complement(X1)
    | join(complement(X1),composition(one,complement(X1))) != join(complement(X1),composition(one,complement(X1)))
    | join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),composition(one,complement(X1)))) ),[1,1],$fot(complement(X1))]]) ).

cnf(refute_0_242,plain,
    ( composition(one,complement(X1)) != complement(X1)
    | join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)) ),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),composition(one,complement(X1)))) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)),
    inference(resolve,[$cnf( $equal(composition(one,complement(X1)),complement(X1)) )],[refute_0_239,refute_0_242]) ).

cnf(refute_0_244,plain,
    ( join(complement(X1),composition(one,complement(X1))) != complement(X1)
    | join(complement(X1),composition(one,complement(X1))) != join(complement(X1),complement(X1))
    | join(complement(X1),complement(X1)) = complement(X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),complement(X1)) ),[0],$fot(join(complement(X1),complement(X1)))]]) ).

cnf(refute_0_245,plain,
    ( join(complement(X1),composition(one,complement(X1))) != complement(X1)
    | join(complement(X1),complement(X1)) = complement(X1) ),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),complement(X1))) )],[refute_0_243,refute_0_244]) ).

cnf(refute_0_246,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),complement(X1)) )],[refute_0_236,refute_0_245]) ).

cnf(refute_0_247,plain,
    join(complement(X_41),complement(X_41)) = complement(X_41),
    inference(subst,[],[refute_0_246:[bind(X1,$fot(X_41))]]) ).

cnf(refute_0_248,plain,
    ( join(X_41,join(complement(X_41),complement(X_41))) != join(top,complement(X_41))
    | join(complement(X_41),complement(X_41)) != complement(X_41)
    | join(X_41,complement(X_41)) = join(top,complement(X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(complement(X_41),complement(X_41))),join(top,complement(X_41))) ),[0,1],$fot(complement(X_41))]]) ).

cnf(refute_0_249,plain,
    ( join(X_41,join(complement(X_41),complement(X_41))) != join(top,complement(X_41))
    | join(X_41,complement(X_41)) = join(top,complement(X_41)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_41),complement(X_41)),complement(X_41)) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    join(X_41,complement(X_41)) = join(top,complement(X_41)),
    inference(resolve,[$cnf( $equal(join(X_41,join(complement(X_41),complement(X_41))),join(top,complement(X_41))) )],[refute_0_217,refute_0_249]) ).

cnf(refute_0_251,plain,
    ( join(X_41,complement(X_41)) != join(top,complement(X_41))
    | join(X_41,complement(X_41)) != top
    | top = join(top,complement(X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_41,complement(X_41)),join(top,complement(X_41))) ),[0],$fot(top)]]) ).

cnf(refute_0_252,plain,
    ( join(X_41,complement(X_41)) != join(top,complement(X_41))
    | top = join(top,complement(X_41)) ),
    inference(resolve,[$cnf( $equal(join(X_41,complement(X_41)),top) )],[refute_0_206,refute_0_251]) ).

cnf(refute_0_253,plain,
    top = join(top,complement(X_41)),
    inference(resolve,[$cnf( $equal(join(X_41,complement(X_41)),join(top,complement(X_41))) )],[refute_0_250,refute_0_252]) ).

cnf(refute_0_254,plain,
    ( top != join(top,complement(X_41))
    | join(top,complement(X_41)) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_41))))]]) ).

cnf(refute_0_255,plain,
    join(top,complement(X_41)) = top,
    inference(resolve,[$cnf( $equal(top,join(top,complement(X_41))) )],[refute_0_253,refute_0_254]) ).

cnf(refute_0_256,plain,
    join(top,complement(complement(X_51))) = top,
    inference(subst,[],[refute_0_255:[bind(X_41,$fot(complement(X_51)))]]) ).

cnf(refute_0_257,plain,
    ( join(X_51,top) != join(top,complement(complement(X_51)))
    | join(top,complement(complement(X_51))) != top
    | join(X_51,top) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_51,top),top) ),[0],$fot(join(top,complement(complement(X_51))))]]) ).

cnf(refute_0_258,plain,
    ( join(X_51,top) != join(top,complement(complement(X_51)))
    | join(X_51,top) = top ),
    inference(resolve,[$cnf( $equal(join(top,complement(complement(X_51))),top) )],[refute_0_256,refute_0_257]) ).

cnf(refute_0_259,plain,
    join(X_51,top) = top,
    inference(resolve,[$cnf( $equal(join(X_51,top),join(top,complement(complement(X_51)))) )],[refute_0_216,refute_0_258]) ).

cnf(refute_0_260,plain,
    join(complement(X_85),top) = top,
    inference(subst,[],[refute_0_259:[bind(X_51,$fot(complement(X_85)))]]) ).

cnf(refute_0_261,plain,
    ( X_85 != join(meet(X_85,top),complement(join(complement(X_85),top)))
    | join(complement(X_85),top) != top
    | X_85 = join(meet(X_85,top),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_85,join(meet(X_85,top),complement(join(complement(X_85),top)))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_262,plain,
    ( X_85 != join(meet(X_85,top),complement(join(complement(X_85),top)))
    | X_85 = join(meet(X_85,top),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_85),top),top) )],[refute_0_260,refute_0_261]) ).

cnf(refute_0_263,plain,
    X_85 = join(meet(X_85,top),complement(top)),
    inference(resolve,[$cnf( $equal(X_85,join(meet(X_85,top),complement(join(complement(X_85),top)))) )],[refute_0_202,refute_0_262]) ).

cnf(refute_0_264,plain,
    join(complement(top),meet(X_85,top)) = join(complement(top),meet(X_85,top)),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(X_85,top)))]]) ).

cnf(refute_0_265,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_85,top)) != join(complement(top),meet(X_85,top))
    | join(complement(top),meet(X_85,top)) = join(zero,meet(X_85,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_85,top)),join(complement(top),meet(X_85,top))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_266,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_85,top)) = join(zero,meet(X_85,top)) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_85,top)),join(complement(top),meet(X_85,top))) )],[refute_0_264,refute_0_265]) ).

cnf(refute_0_267,plain,
    join(complement(top),meet(X_85,top)) = join(zero,meet(X_85,top)),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_266]) ).

cnf(refute_0_268,plain,
    join(meet(X_85,top),complement(top)) = join(complement(top),meet(X_85,top)),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_85,top)))]]) ).

cnf(refute_0_269,plain,
    ( join(complement(top),meet(X_85,top)) != join(zero,meet(X_85,top))
    | join(meet(X_85,top),complement(top)) != join(complement(top),meet(X_85,top))
    | join(meet(X_85,top),complement(top)) = join(zero,meet(X_85,top)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(X_85,top),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_85,top)))),bind(Z,$fot(join(zero,meet(X_85,top))))]]) ).

cnf(refute_0_270,plain,
    ( join(complement(top),meet(X_85,top)) != join(zero,meet(X_85,top))
    | join(meet(X_85,top),complement(top)) = join(zero,meet(X_85,top)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_85,top),complement(top)),join(complement(top),meet(X_85,top))) )],[refute_0_268,refute_0_269]) ).

cnf(refute_0_271,plain,
    join(meet(X_85,top),complement(top)) = join(zero,meet(X_85,top)),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_85,top)),join(zero,meet(X_85,top))) )],[refute_0_267,refute_0_270]) ).

cnf(refute_0_272,plain,
    ( X_85 != join(meet(X_85,top),complement(top))
    | join(meet(X_85,top),complement(top)) != join(zero,meet(X_85,top))
    | X_85 = join(zero,meet(X_85,top)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_85,join(zero,meet(X_85,top))) ),[0],$fot(join(meet(X_85,top),complement(top)))]]) ).

cnf(refute_0_273,plain,
    ( X_85 != join(meet(X_85,top),complement(top))
    | X_85 = join(zero,meet(X_85,top)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_85,top),complement(top)),join(zero,meet(X_85,top))) )],[refute_0_271,refute_0_272]) ).

cnf(refute_0_274,plain,
    X_85 = join(zero,meet(X_85,top)),
    inference(resolve,[$cnf( $equal(X_85,join(meet(X_85,top),complement(top))) )],[refute_0_263,refute_0_273]) ).

cnf(refute_0_275,plain,
    X_87 = join(zero,meet(X_87,top)),
    inference(subst,[],[refute_0_274:[bind(X_85,$fot(X_87))]]) ).

cnf(refute_0_276,plain,
    join(complement(X_20),complement(X_19)) = join(complement(X_19),complement(X_20)),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_20))),bind(X1,$fot(complement(X_19)))]]) ).

cnf(refute_0_277,plain,
    ( join(complement(X_20),complement(X_19)) != join(complement(X_19),complement(X_20))
    | join(complement(X_19),complement(X_20)) = join(complement(X_20),complement(X_19)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_20),complement(X_19)))),bind(Y,$fot(join(complement(X_19),complement(X_20))))]]) ).

cnf(refute_0_278,plain,
    join(complement(X_19),complement(X_20)) = join(complement(X_20),complement(X_19)),
    inference(resolve,[$cnf( $equal(join(complement(X_20),complement(X_19)),join(complement(X_19),complement(X_20))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    ( join(complement(X_19),complement(X_20)) != join(complement(X_20),complement(X_19))
    | meet(X_19,X_20) != complement(join(complement(X_19),complement(X_20)))
    | meet(X_19,X_20) = complement(join(complement(X_20),complement(X_19))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_19,X_20),complement(join(complement(X_19),complement(X_20)))) ),[1,0],$fot(join(complement(X_20),complement(X_19)))]]) ).

cnf(refute_0_280,plain,
    ( meet(X_19,X_20) != complement(join(complement(X_19),complement(X_20)))
    | meet(X_19,X_20) = complement(join(complement(X_20),complement(X_19))) ),
    inference(resolve,[$cnf( $equal(join(complement(X_19),complement(X_20)),join(complement(X_20),complement(X_19))) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    meet(X_19,X_20) = complement(join(complement(X_20),complement(X_19))),
    inference(resolve,[$cnf( $equal(meet(X_19,X_20),complement(join(complement(X_19),complement(X_20)))) )],[refute_0_152,refute_0_280]) ).

cnf(refute_0_282,plain,
    complement(join(complement(X_20),complement(X_19))) = meet(X_20,X_19),
    inference(subst,[],[refute_0_191:[bind(X0,$fot(X_20)),bind(X1,$fot(X_19))]]) ).

cnf(refute_0_283,plain,
    ( complement(join(complement(X_20),complement(X_19))) != meet(X_20,X_19)
    | meet(X_19,X_20) != complement(join(complement(X_20),complement(X_19)))
    | meet(X_19,X_20) = meet(X_20,X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_19,X_20),complement(join(complement(X_20),complement(X_19)))) ),[1],$fot(meet(X_20,X_19))]]) ).

cnf(refute_0_284,plain,
    ( meet(X_19,X_20) != complement(join(complement(X_20),complement(X_19)))
    | meet(X_19,X_20) = meet(X_20,X_19) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_20),complement(X_19))),meet(X_20,X_19)) )],[refute_0_282,refute_0_283]) ).

cnf(refute_0_285,plain,
    meet(X_19,X_20) = meet(X_20,X_19),
    inference(resolve,[$cnf( $equal(meet(X_19,X_20),complement(join(complement(X_20),complement(X_19)))) )],[refute_0_281,refute_0_284]) ).

cnf(refute_0_286,plain,
    meet(top,X_87) = meet(X_87,top),
    inference(subst,[],[refute_0_285:[bind(X_19,$fot(top)),bind(X_20,$fot(X_87))]]) ).

cnf(refute_0_287,plain,
    ( meet(top,X_87) != meet(X_87,top)
    | meet(X_87,top) = meet(top,X_87) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_87))),bind(Y,$fot(meet(X_87,top)))]]) ).

cnf(refute_0_288,plain,
    meet(X_87,top) = meet(top,X_87),
    inference(resolve,[$cnf( $equal(meet(top,X_87),meet(X_87,top)) )],[refute_0_286,refute_0_287]) ).

cnf(refute_0_289,plain,
    ( X_87 != join(zero,meet(X_87,top))
    | meet(X_87,top) != meet(top,X_87)
    | X_87 = join(zero,meet(top,X_87)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_87,join(zero,meet(X_87,top))) ),[1,1],$fot(meet(top,X_87))]]) ).

cnf(refute_0_290,plain,
    ( X_87 != join(zero,meet(X_87,top))
    | X_87 = join(zero,meet(top,X_87)) ),
    inference(resolve,[$cnf( $equal(meet(X_87,top),meet(top,X_87)) )],[refute_0_288,refute_0_289]) ).

cnf(refute_0_291,plain,
    X_87 = join(zero,meet(top,X_87)),
    inference(resolve,[$cnf( $equal(X_87,join(zero,meet(X_87,top))) )],[refute_0_275,refute_0_290]) ).

cnf(refute_0_292,plain,
    join(zero,join(zero,X2)) = join(join(zero,zero),X2),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(zero)),bind(X1,$fot(zero))]]) ).

cnf(refute_0_293,plain,
    join(complement(top),complement(top)) = complement(top),
    inference(subst,[],[refute_0_246:[bind(X1,$fot(top))]]) ).

cnf(refute_0_294,plain,
    ( complement(top) != zero
    | join(complement(top),complement(top)) != complement(top)
    | join(complement(top),zero) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) ),[0,1],$fot(zero)]]) ).

cnf(refute_0_295,plain,
    ( join(complement(top),complement(top)) != complement(top)
    | join(complement(top),zero) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_294]) ).

cnf(refute_0_296,plain,
    join(complement(top),zero) = complement(top),
    inference(resolve,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) )],[refute_0_293,refute_0_295]) ).

cnf(refute_0_297,plain,
    join(zero,complement(top)) = join(zero,complement(top)),
    introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).

cnf(refute_0_298,plain,
    ( complement(top) != zero
    | join(zero,complement(top)) != join(zero,complement(top))
    | join(zero,complement(top)) = join(zero,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_299,plain,
    ( complement(top) != zero
    | join(zero,complement(top)) = join(zero,zero) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_297,refute_0_298]) ).

cnf(refute_0_300,plain,
    join(zero,complement(top)) = join(zero,zero),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_299]) ).

cnf(refute_0_301,plain,
    join(complement(top),zero) = join(zero,complement(top)),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(top)))]]) ).

cnf(refute_0_302,plain,
    ( join(complement(top),zero) != join(zero,complement(top))
    | join(zero,complement(top)) != join(zero,zero)
    | join(complement(top),zero) = join(zero,zero) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(top),zero))),bind(Y,$fot(join(zero,complement(top)))),bind(Z,$fot(join(zero,zero)))]]) ).

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

cnf(refute_0_304,plain,
    join(complement(top),zero) = join(zero,zero),
    inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_300,refute_0_303]) ).

cnf(refute_0_305,plain,
    ( join(complement(top),zero) != complement(top)
    | join(complement(top),zero) != join(zero,zero)
    | join(zero,zero) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),zero),complement(top)) ),[0],$fot(join(zero,zero))]]) ).

cnf(refute_0_306,plain,
    ( join(complement(top),zero) != complement(top)
    | join(zero,zero) = complement(top) ),
    inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,zero)) )],[refute_0_304,refute_0_305]) ).

cnf(refute_0_307,plain,
    ( complement(top) != zero
    | join(zero,zero) != complement(top)
    | join(zero,zero) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_308,plain,
    ( join(zero,zero) != complement(top)
    | join(zero,zero) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_307]) ).

cnf(refute_0_309,plain,
    ( join(complement(top),zero) != complement(top)
    | join(zero,zero) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,zero),complement(top)) )],[refute_0_306,refute_0_308]) ).

cnf(refute_0_310,plain,
    join(zero,zero) = zero,
    inference(resolve,[$cnf( $equal(join(complement(top),zero),complement(top)) )],[refute_0_296,refute_0_309]) ).

cnf(refute_0_311,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_312,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_310,refute_0_311]) ).

cnf(refute_0_313,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_292,refute_0_312]) ).

cnf(refute_0_314,plain,
    join(zero,join(zero,meet(X_87,top))) = join(zero,meet(X_87,top)),
    inference(subst,[],[refute_0_313:[bind(X2,$fot(meet(X_87,top)))]]) ).

cnf(refute_0_315,plain,
    ( X_87 != join(zero,meet(X_87,top))
    | join(zero,meet(X_87,top)) = X_87 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_87)),bind(Y,$fot(join(zero,meet(X_87,top))))]]) ).

cnf(refute_0_316,plain,
    join(zero,meet(X_87,top)) = X_87,
    inference(resolve,[$cnf( $equal(X_87,join(zero,meet(X_87,top))) )],[refute_0_275,refute_0_315]) ).

cnf(refute_0_317,plain,
    ( join(zero,join(zero,meet(X_87,top))) != join(zero,meet(X_87,top))
    | join(zero,meet(X_87,top)) != X_87
    | join(zero,X_87) = join(zero,meet(X_87,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_87,top))),join(zero,meet(X_87,top))) ),[0,1],$fot(X_87)]]) ).

cnf(refute_0_318,plain,
    ( join(zero,join(zero,meet(X_87,top))) != join(zero,meet(X_87,top))
    | join(zero,X_87) = join(zero,meet(X_87,top)) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_87,top)),X_87) )],[refute_0_316,refute_0_317]) ).

cnf(refute_0_319,plain,
    join(zero,X_87) = join(zero,meet(X_87,top)),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_87,top))),join(zero,meet(X_87,top))) )],[refute_0_314,refute_0_318]) ).

cnf(refute_0_320,plain,
    ( join(zero,X_87) != join(zero,meet(X_87,top))
    | join(zero,meet(X_87,top)) != X_87
    | join(zero,X_87) = X_87 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_87),X_87) ),[0],$fot(join(zero,meet(X_87,top)))]]) ).

cnf(refute_0_321,plain,
    ( join(zero,X_87) != join(zero,meet(X_87,top))
    | join(zero,X_87) = X_87 ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_87,top)),X_87) )],[refute_0_316,refute_0_320]) ).

cnf(refute_0_322,plain,
    join(zero,X_87) = X_87,
    inference(resolve,[$cnf( $equal(join(zero,X_87),join(zero,meet(X_87,top))) )],[refute_0_319,refute_0_321]) ).

cnf(refute_0_323,plain,
    join(zero,meet(top,X_87)) = meet(top,X_87),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(meet(top,X_87)))]]) ).

cnf(refute_0_324,plain,
    ( X_87 != join(zero,meet(top,X_87))
    | join(zero,meet(top,X_87)) != meet(top,X_87)
    | X_87 = meet(top,X_87) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_87,meet(top,X_87)) ),[0],$fot(join(zero,meet(top,X_87)))]]) ).

cnf(refute_0_325,plain,
    ( X_87 != join(zero,meet(top,X_87))
    | X_87 = meet(top,X_87) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(top,X_87)),meet(top,X_87)) )],[refute_0_323,refute_0_324]) ).

cnf(refute_0_326,plain,
    X_87 = meet(top,X_87),
    inference(resolve,[$cnf( $equal(X_87,join(zero,meet(top,X_87))) )],[refute_0_291,refute_0_325]) ).

cnf(refute_0_327,plain,
    ( X_87 != meet(top,X_87)
    | meet(top,X_87) = X_87 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_87)),bind(Y,$fot(meet(top,X_87)))]]) ).

cnf(refute_0_328,plain,
    meet(top,X_87) = X_87,
    inference(resolve,[$cnf( $equal(X_87,meet(top,X_87)) )],[refute_0_326,refute_0_327]) ).

cnf(refute_0_329,plain,
    meet(top,X1) = X1,
    inference(subst,[],[refute_0_328:[bind(X_87,$fot(X1))]]) ).

cnf(refute_0_330,plain,
    ( meet(top,X1) != X1
    | meet(top,X1) != complement(join(zero,complement(X1)))
    | X1 = complement(join(zero,complement(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[0],$fot(X1)]]) ).

cnf(refute_0_331,plain,
    ( meet(top,X1) != complement(join(zero,complement(X1)))
    | X1 = complement(join(zero,complement(X1))) ),
    inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_329,refute_0_330]) ).

cnf(refute_0_332,plain,
    join(zero,complement(X1)) = complement(X1),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(complement(X1)))]]) ).

cnf(refute_0_333,plain,
    complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
    introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).

cnf(refute_0_334,plain,
    ( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
    | join(zero,complement(X1)) != complement(X1)
    | complement(join(zero,complement(X1))) = complement(complement(X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).

cnf(refute_0_335,plain,
    ( join(zero,complement(X1)) != complement(X1)
    | complement(join(zero,complement(X1))) = complement(complement(X1)) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    complement(join(zero,complement(X1))) = complement(complement(X1)),
    inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_332,refute_0_335]) ).

cnf(refute_0_337,plain,
    ( X1 != complement(join(zero,complement(X1)))
    | complement(join(zero,complement(X1))) != complement(complement(X1))
    | X1 = complement(complement(X1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X1,complement(complement(X1))) ),[0],$fot(complement(join(zero,complement(X1))))]]) ).

cnf(refute_0_338,plain,
    ( X1 != complement(join(zero,complement(X1)))
    | X1 = complement(complement(X1)) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_336,refute_0_337]) ).

cnf(refute_0_339,plain,
    ( meet(top,X1) != complement(join(zero,complement(X1)))
    | X1 = complement(complement(X1)) ),
    inference(resolve,[$cnf( $equal(X1,complement(join(zero,complement(X1)))) )],[refute_0_331,refute_0_338]) ).

cnf(refute_0_340,plain,
    X1 = complement(complement(X1)),
    inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_183,refute_0_339]) ).

cnf(refute_0_341,plain,
    X_95 = complement(complement(X_95)),
    inference(subst,[],[refute_0_340:[bind(X1,$fot(X_95))]]) ).

cnf(refute_0_342,plain,
    ( X_95 != complement(complement(X_95))
    | complement(complement(X_95)) = X_95 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_95)),bind(Y,$fot(complement(complement(X_95))))]]) ).

cnf(refute_0_343,plain,
    complement(complement(X_95)) = X_95,
    inference(resolve,[$cnf( $equal(X_95,complement(complement(X_95))) )],[refute_0_341,refute_0_342]) ).

cnf(refute_0_344,plain,
    ( complement(complement(X_95)) != X_95
    | composition(join(one,one),complement(complement(X_95))) != complement(complement(X_95))
    | composition(join(one,one),X_95) = complement(complement(X_95)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(complement(X_95))),complement(complement(X_95))) ),[0,1],$fot(X_95)]]) ).

cnf(refute_0_345,plain,
    ( composition(join(one,one),complement(complement(X_95))) != complement(complement(X_95))
    | composition(join(one,one),X_95) = complement(complement(X_95)) ),
    inference(resolve,[$cnf( $equal(complement(complement(X_95)),X_95) )],[refute_0_343,refute_0_344]) ).

cnf(refute_0_346,plain,
    composition(join(one,one),X_95) = complement(complement(X_95)),
    inference(resolve,[$cnf( $equal(composition(join(one,one),complement(complement(X_95))),complement(complement(X_95))) )],[refute_0_147,refute_0_345]) ).

cnf(refute_0_347,plain,
    ( complement(complement(X_95)) != X_95
    | composition(join(one,one),X_95) != complement(complement(X_95))
    | composition(join(one,one),X_95) = X_95 ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_95),complement(complement(X_95))) ),[1],$fot(X_95)]]) ).

cnf(refute_0_348,plain,
    ( composition(join(one,one),X_95) != complement(complement(X_95))
    | composition(join(one,one),X_95) = X_95 ),
    inference(resolve,[$cnf( $equal(complement(complement(X_95)),X_95) )],[refute_0_343,refute_0_347]) ).

cnf(refute_0_349,plain,
    composition(join(one,one),X_95) = X_95,
    inference(resolve,[$cnf( $equal(composition(join(one,one),X_95),complement(complement(X_95))) )],[refute_0_346,refute_0_348]) ).

cnf(refute_0_350,plain,
    composition(join(one,one),one) = one,
    inference(subst,[],[refute_0_349:[bind(X_95,$fot(one))]]) ).

cnf(refute_0_351,plain,
    ( composition(join(one,one),one) != join(one,one)
    | composition(join(one,one),one) != one
    | one = join(one,one) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),one),join(one,one)) ),[0],$fot(one)]]) ).

cnf(refute_0_352,plain,
    ( composition(join(one,one),one) != join(one,one)
    | one = join(one,one) ),
    inference(resolve,[$cnf( $equal(composition(join(one,one),one),one) )],[refute_0_350,refute_0_351]) ).

cnf(refute_0_353,plain,
    one = join(one,one),
    inference(resolve,[$cnf( $equal(composition(join(one,one),one),join(one,one)) )],[refute_0_124,refute_0_352]) ).

cnf(refute_0_354,plain,
    ( one != join(one,one)
    | join(one,one) = one ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(join(one,one)))]]) ).

cnf(refute_0_355,plain,
    join(one,one) = one,
    inference(resolve,[$cnf( $equal(one,join(one,one)) )],[refute_0_353,refute_0_354]) ).

cnf(refute_0_356,plain,
    composition(join(one,one),X_256) = composition(join(one,one),X_256),
    introduced(tautology,[refl,[$fot(composition(join(one,one),X_256))]]) ).

cnf(refute_0_357,plain,
    ( composition(join(one,one),X_256) != composition(join(one,one),X_256)
    | join(one,one) != one
    | composition(join(one,one),X_256) = composition(one,X_256) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_256),composition(join(one,one),X_256)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_358,plain,
    ( join(one,one) != one
    | composition(join(one,one),X_256) = composition(one,X_256) ),
    inference(resolve,[$cnf( $equal(composition(join(one,one),X_256),composition(join(one,one),X_256)) )],[refute_0_356,refute_0_357]) ).

cnf(refute_0_359,plain,
    composition(join(one,one),X_256) = composition(one,X_256),
    inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_355,refute_0_358]) ).

cnf(refute_0_360,plain,
    ( composition(join(one,one),X_256) != composition(one,X_256)
    | composition(one,X_256) != X_256
    | composition(join(one,one),X_256) = X_256 ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(one,one),X_256))),bind(Y,$fot(composition(one,X_256))),bind(Z,$fot(X_256))]]) ).

cnf(refute_0_361,plain,
    ( composition(one,X_256) != X_256
    | composition(join(one,one),X_256) = X_256 ),
    inference(resolve,[$cnf( $equal(composition(join(one,one),X_256),composition(one,X_256)) )],[refute_0_359,refute_0_360]) ).

cnf(refute_0_362,plain,
    composition(join(one,one),X_256) = X_256,
    inference(resolve,[$cnf( $equal(composition(one,X_256),X_256) )],[refute_0_120,refute_0_361]) ).

cnf(refute_0_363,plain,
    ( composition(join(one,one),X_256) != X_256
    | composition(join(one,one),X_256) != join(X_256,X_256)
    | X_256 = join(X_256,X_256) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_256),join(X_256,X_256)) ),[0],$fot(X_256)]]) ).

cnf(refute_0_364,plain,
    ( composition(join(one,one),X_256) != join(X_256,X_256)
    | X_256 = join(X_256,X_256) ),
    inference(resolve,[$cnf( $equal(composition(join(one,one),X_256),X_256) )],[refute_0_362,refute_0_363]) ).

cnf(refute_0_365,plain,
    X_256 = join(X_256,X_256),
    inference(resolve,[$cnf( $equal(composition(join(one,one),X_256),join(X_256,X_256)) )],[refute_0_123,refute_0_364]) ).

cnf(refute_0_366,plain,
    X_43 = join(X_43,X_43),
    inference(subst,[],[refute_0_365:[bind(X_256,$fot(X_43))]]) ).

cnf(refute_0_367,plain,
    ( X_43 != join(X_43,X_43)
    | join(X_43,X_43) = X_43 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_43)),bind(Y,$fot(join(X_43,X_43)))]]) ).

cnf(refute_0_368,plain,
    join(X_43,X_43) = X_43,
    inference(resolve,[$cnf( $equal(X_43,join(X_43,X_43)) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    ( join(X_43,X_43) != X_43
    | join(X_43,join(X_42,X_43)) != join(X_42,join(X_43,X_43))
    | join(X_43,join(X_42,X_43)) = join(X_42,X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_43,join(X_42,X_43)),join(X_42,join(X_43,X_43))) ),[1,1],$fot(X_43)]]) ).

cnf(refute_0_370,plain,
    ( join(X_43,join(X_42,X_43)) != join(X_42,join(X_43,X_43))
    | join(X_43,join(X_42,X_43)) = join(X_42,X_43) ),
    inference(resolve,[$cnf( $equal(join(X_43,X_43),X_43) )],[refute_0_368,refute_0_369]) ).

cnf(refute_0_371,plain,
    join(X_43,join(X_42,X_43)) = join(X_42,X_43),
    inference(resolve,[$cnf( $equal(join(X_43,join(X_42,X_43)),join(X_42,join(X_43,X_43))) )],[refute_0_75,refute_0_370]) ).

cnf(refute_0_372,plain,
    join(X_421,join(X_42,X_421)) = join(X_42,X_421),
    inference(subst,[],[refute_0_371:[bind(X_43,$fot(X_421))]]) ).

cnf(refute_0_373,plain,
    ( join(X_421,join(X_42,X_421)) != join(X_42,X_421)
    | join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_421,join(X_42,X_421)))))) != complement(one)
    | join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_42,X_421))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_421,join(X_42,X_421)))))),complement(one)) ),[0,1,1,0,0],$fot(join(X_42,X_421))]]) ).

cnf(refute_0_374,plain,
    ( join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_421,join(X_42,X_421)))))) != complement(one)
    | join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_42,X_421))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(X_421,join(X_42,X_421)),join(X_42,X_421)) )],[refute_0_372,refute_0_373]) ).

cnf(refute_0_375,plain,
    join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_42,X_421))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_421,join(X_42,X_421)))))),complement(one)) )],[refute_0_60,refute_0_374]) ).

cnf(refute_0_376,plain,
    join(complement(one),join(composition(X0,complement(converse(X0))),X_43)) = join(join(complement(one),composition(X0,complement(converse(X0)))),X_43),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(complement(one))),bind(X1,$fot(composition(X0,complement(converse(X0))))),bind(X2,$fot(X_43))]]) ).

cnf(refute_0_377,plain,
    ( join(complement(one),composition(X0,complement(converse(X0)))) != complement(one)
    | join(complement(one),join(composition(X0,complement(converse(X0))),X_43)) != join(join(complement(one),composition(X0,complement(converse(X0)))),X_43)
    | join(complement(one),join(composition(X0,complement(converse(X0))),X_43)) = join(complement(one),X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(X0,complement(converse(X0))),X_43)),join(join(complement(one),composition(X0,complement(converse(X0)))),X_43)) ),[1,0],$fot(complement(one))]]) ).

cnf(refute_0_378,plain,
    ( join(complement(one),join(composition(X0,complement(converse(X0))),X_43)) != join(join(complement(one),composition(X0,complement(converse(X0)))),X_43)
    | join(complement(one),join(composition(X0,complement(converse(X0))),X_43)) = join(complement(one),X_43) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(X0,complement(converse(X0)))),complement(one)) )],[refute_0_42,refute_0_377]) ).

cnf(refute_0_379,plain,
    join(complement(one),join(composition(X0,complement(converse(X0))),X_43)) = join(complement(one),X_43),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(X0,complement(converse(X0))),X_43)),join(join(complement(one),composition(X0,complement(converse(X0)))),X_43)) )],[refute_0_376,refute_0_378]) ).

cnf(refute_0_380,plain,
    join(complement(one),join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186))))) = join(complement(one),composition(X1,complement(converse(X_186)))),
    inference(subst,[],[refute_0_379:[bind(X0,$fot(X_186)),bind(X_43,$fot(composition(X1,complement(converse(X_186)))))]]) ).

cnf(refute_0_381,plain,
    composition(join(X_186,X1),complement(converse(X_186))) = join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186)))),
    inference(subst,[],[refute_0_76:[bind(X0,$fot(X_186)),bind(X2,$fot(complement(converse(X_186))))]]) ).

cnf(refute_0_382,plain,
    ( composition(join(X_186,X1),complement(converse(X_186))) != join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186))))
    | join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186)))) = composition(join(X_186,X1),complement(converse(X_186))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_186,X1),complement(converse(X_186))))),bind(Y,$fot(join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186))))))]]) ).

cnf(refute_0_383,plain,
    join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186)))) = composition(join(X_186,X1),complement(converse(X_186))),
    inference(resolve,[$cnf( $equal(composition(join(X_186,X1),complement(converse(X_186))),join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186))))) )],[refute_0_381,refute_0_382]) ).

cnf(refute_0_384,plain,
    ( join(complement(one),join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186))))) != join(complement(one),composition(X1,complement(converse(X_186))))
    | join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186)))) != composition(join(X_186,X1),complement(converse(X_186)))
    | join(complement(one),composition(join(X_186,X1),complement(converse(X_186)))) = join(complement(one),composition(X1,complement(converse(X_186)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186))))),join(complement(one),composition(X1,complement(converse(X_186))))) ),[0,1],$fot(composition(join(X_186,X1),complement(converse(X_186))))]]) ).

cnf(refute_0_385,plain,
    ( join(complement(one),join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186))))) != join(complement(one),composition(X1,complement(converse(X_186))))
    | join(complement(one),composition(join(X_186,X1),complement(converse(X_186)))) = join(complement(one),composition(X1,complement(converse(X_186)))) ),
    inference(resolve,[$cnf( $equal(join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186)))),composition(join(X_186,X1),complement(converse(X_186)))) )],[refute_0_383,refute_0_384]) ).

cnf(refute_0_386,plain,
    join(complement(one),composition(join(X_186,X1),complement(converse(X_186)))) = join(complement(one),composition(X1,complement(converse(X_186)))),
    inference(resolve,[$cnf( $equal(join(complement(one),join(composition(X_186,complement(converse(X_186))),composition(X1,complement(converse(X_186))))),join(complement(one),composition(X1,complement(converse(X_186))))) )],[refute_0_380,refute_0_385]) ).

cnf(refute_0_387,plain,
    join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_42,X_421))))) = join(complement(one),composition(X_421,complement(converse(join(X_42,X_421))))),
    inference(subst,[],[refute_0_386:[bind(X1,$fot(X_421)),bind(X_186,$fot(join(X_42,X_421)))]]) ).

cnf(refute_0_388,plain,
    ( join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_42,X_421))))) != complement(one)
    | join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_42,X_421))))) != join(complement(one),composition(X_421,complement(converse(join(X_42,X_421)))))
    | join(complement(one),composition(X_421,complement(converse(join(X_42,X_421))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_42,X_421))))),complement(one)) ),[0],$fot(join(complement(one),composition(X_421,complement(converse(join(X_42,X_421))))))]]) ).

cnf(refute_0_389,plain,
    ( join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_42,X_421))))) != complement(one)
    | join(complement(one),composition(X_421,complement(converse(join(X_42,X_421))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_42,X_421))))),join(complement(one),composition(X_421,complement(converse(join(X_42,X_421)))))) )],[refute_0_387,refute_0_388]) ).

cnf(refute_0_390,plain,
    join(complement(one),composition(X_421,complement(converse(join(X_42,X_421))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(join(X_42,X_421),X_421),complement(converse(join(X_42,X_421))))),complement(one)) )],[refute_0_375,refute_0_389]) ).

cnf(refute_0_391,plain,
    join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = complement(one),
    inference(subst,[],[refute_0_390:[bind(X_42,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))),bind(X_421,$fot(converse(composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_392,plain,
    join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_86),complement(join(complement(join(zero,complement(X1))),X_86))),
    inference(subst,[],[refute_0_201:[bind(X0,$fot(join(zero,complement(X1)))),bind(X1,$fot(X_86))]]) ).

cnf(refute_0_393,plain,
    ( meet(top,X1) != complement(join(zero,complement(X1)))
    | complement(join(zero,complement(X1))) = meet(top,X1) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).

cnf(refute_0_394,plain,
    complement(join(zero,complement(X1))) = meet(top,X1),
    inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_183,refute_0_393]) ).

cnf(refute_0_395,plain,
    ( complement(join(zero,complement(X1))) != meet(top,X1)
    | join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_86),complement(join(complement(join(zero,complement(X1))),X_86)))
    | join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_86),complement(join(meet(top,X1),X_86))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_86),complement(join(complement(join(zero,complement(X1))),X_86)))) ),[1,1,0,0],$fot(meet(top,X1))]]) ).

cnf(refute_0_396,plain,
    ( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_86),complement(join(complement(join(zero,complement(X1))),X_86)))
    | join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_86),complement(join(meet(top,X1),X_86))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_394,refute_0_395]) ).

cnf(refute_0_397,plain,
    join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_86),complement(join(meet(top,X1),X_86))),
    inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_86),complement(join(complement(join(zero,complement(X1))),X_86)))) )],[refute_0_392,refute_0_396]) ).

cnf(refute_0_398,plain,
    join(meet(join(zero,complement(X1)),X_86),complement(join(meet(top,X1),X_86))) = join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(meet(top,X1),X_86)))),bind(X1,$fot(meet(join(zero,complement(X1)),X_86)))]]) ).

cnf(refute_0_399,plain,
    ( join(meet(join(zero,complement(X1)),X_86),complement(join(meet(top,X1),X_86))) != join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))
    | join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_86),complement(join(meet(top,X1),X_86)))
    | join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_86),complement(join(meet(top,X1),X_86)))) ),[1],$fot(join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)))]]) ).

cnf(refute_0_400,plain,
    ( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_86),complement(join(meet(top,X1),X_86)))
    | join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) ),
    inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(X1)),X_86),complement(join(meet(top,X1),X_86))),join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))) )],[refute_0_398,refute_0_399]) ).

cnf(refute_0_401,plain,
    join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)),
    inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_86),complement(join(meet(top,X1),X_86)))) )],[refute_0_397,refute_0_400]) ).

cnf(refute_0_402,plain,
    ( join(zero,complement(X1)) != complement(X1)
    | join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))
    | complement(X1) = join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))) ),[0],$fot(complement(X1))]]) ).

cnf(refute_0_403,plain,
    ( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))
    | complement(X1) = join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_332,refute_0_402]) ).

cnf(refute_0_404,plain,
    meet(join(zero,complement(X1)),X_86) = meet(join(zero,complement(X1)),X_86),
    introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_86))]]) ).

cnf(refute_0_405,plain,
    ( join(zero,complement(X1)) != complement(X1)
    | meet(join(zero,complement(X1)),X_86) != meet(join(zero,complement(X1)),X_86)
    | meet(join(zero,complement(X1)),X_86) = meet(complement(X1),X_86) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_86),meet(join(zero,complement(X1)),X_86)) ),[1,0],$fot(complement(X1))]]) ).

cnf(refute_0_406,plain,
    ( join(zero,complement(X1)) != complement(X1)
    | meet(join(zero,complement(X1)),X_86) = meet(complement(X1),X_86) ),
    inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_86),meet(join(zero,complement(X1)),X_86)) )],[refute_0_404,refute_0_405]) ).

cnf(refute_0_407,plain,
    meet(join(zero,complement(X1)),X_86) = meet(complement(X1),X_86),
    inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_332,refute_0_406]) ).

cnf(refute_0_408,plain,
    join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)),
    introduced(tautology,[refl,[$fot(join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)))]]) ).

cnf(refute_0_409,plain,
    ( join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)) != join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86))
    | meet(join(zero,complement(X1)),X_86) != meet(complement(X1),X_86)
    | join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(X1,X_86)),meet(complement(X1),X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)),join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86))) ),[1,1],$fot(meet(complement(X1),X_86))]]) ).

cnf(refute_0_410,plain,
    ( meet(join(zero,complement(X1)),X_86) != meet(complement(X1),X_86)
    | join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(X1,X_86)),meet(complement(X1),X_86)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)),join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86))) )],[refute_0_408,refute_0_409]) ).

cnf(refute_0_411,plain,
    join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(X1,X_86)),meet(complement(X1),X_86)),
    inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_86),meet(complement(X1),X_86)) )],[refute_0_407,refute_0_410]) ).

cnf(refute_0_412,plain,
    join(meet(top,X1),X_86) = join(meet(top,X1),X_86),
    introduced(tautology,[refl,[$fot(join(meet(top,X1),X_86))]]) ).

cnf(refute_0_413,plain,
    ( join(meet(top,X1),X_86) != join(meet(top,X1),X_86)
    | meet(top,X1) != X1
    | join(meet(top,X1),X_86) = join(X1,X_86) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),X_86),join(meet(top,X1),X_86)) ),[1,0],$fot(X1)]]) ).

cnf(refute_0_414,plain,
    ( meet(top,X1) != X1
    | join(meet(top,X1),X_86) = join(X1,X_86) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X1),X_86),join(meet(top,X1),X_86)) )],[refute_0_412,refute_0_413]) ).

cnf(refute_0_415,plain,
    join(meet(top,X1),X_86) = join(X1,X_86),
    inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_329,refute_0_414]) ).

cnf(refute_0_416,plain,
    complement(join(meet(top,X1),X_86)) = complement(join(meet(top,X1),X_86)),
    introduced(tautology,[refl,[$fot(complement(join(meet(top,X1),X_86)))]]) ).

cnf(refute_0_417,plain,
    ( complement(join(meet(top,X1),X_86)) != complement(join(meet(top,X1),X_86))
    | join(meet(top,X1),X_86) != join(X1,X_86)
    | complement(join(meet(top,X1),X_86)) = complement(join(X1,X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X1),X_86)),complement(join(meet(top,X1),X_86))) ),[1,0],$fot(join(X1,X_86))]]) ).

cnf(refute_0_418,plain,
    ( join(meet(top,X1),X_86) != join(X1,X_86)
    | complement(join(meet(top,X1),X_86)) = complement(join(X1,X_86)) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_86)),complement(join(meet(top,X1),X_86))) )],[refute_0_416,refute_0_417]) ).

cnf(refute_0_419,plain,
    complement(join(meet(top,X1),X_86)) = complement(join(X1,X_86)),
    inference(resolve,[$cnf( $equal(join(meet(top,X1),X_86),join(X1,X_86)) )],[refute_0_415,refute_0_418]) ).

cnf(refute_0_420,plain,
    join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)),
    introduced(tautology,[refl,[$fot(join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)))]]) ).

cnf(refute_0_421,plain,
    ( complement(join(meet(top,X1),X_86)) != complement(join(X1,X_86))
    | join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) != join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))
    | join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)),join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))) ),[1,0],$fot(complement(join(X1,X_86)))]]) ).

cnf(refute_0_422,plain,
    ( complement(join(meet(top,X1),X_86)) != complement(join(X1,X_86))
    | join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)),join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))) )],[refute_0_420,refute_0_421]) ).

cnf(refute_0_423,plain,
    join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)),
    inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_86)),complement(join(X1,X_86))) )],[refute_0_419,refute_0_422]) ).

cnf(refute_0_424,plain,
    ( join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)) != join(complement(join(X1,X_86)),meet(complement(X1),X_86))
    | join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) != join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86))
    | join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(X1,X_86)),meet(complement(X1),X_86)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)))),bind(Y,$fot(join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)))),bind(Z,$fot(join(complement(join(X1,X_86)),meet(complement(X1),X_86))))]]) ).

cnf(refute_0_425,plain,
    ( join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)) != join(complement(join(X1,X_86)),meet(complement(X1),X_86))
    | join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(X1,X_86)),meet(complement(X1),X_86)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)),join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86))) )],[refute_0_423,refute_0_424]) ).

cnf(refute_0_426,plain,
    join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) = join(complement(join(X1,X_86)),meet(complement(X1),X_86)),
    inference(resolve,[$cnf( $equal(join(complement(join(X1,X_86)),meet(join(zero,complement(X1)),X_86)),join(complement(join(X1,X_86)),meet(complement(X1),X_86))) )],[refute_0_411,refute_0_425]) ).

cnf(refute_0_427,plain,
    ( complement(X1) != join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))
    | join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)) != join(complement(join(X1,X_86)),meet(complement(X1),X_86))
    | complement(X1) = join(complement(join(X1,X_86)),meet(complement(X1),X_86)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),join(complement(join(X1,X_86)),meet(complement(X1),X_86))) ),[0],$fot(join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)))]]) ).

cnf(refute_0_428,plain,
    ( complement(X1) != join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))
    | complement(X1) = join(complement(join(X1,X_86)),meet(complement(X1),X_86)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86)),join(complement(join(X1,X_86)),meet(complement(X1),X_86))) )],[refute_0_426,refute_0_427]) ).

cnf(refute_0_429,plain,
    ( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))
    | complement(X1) = join(complement(join(X1,X_86)),meet(complement(X1),X_86)) ),
    inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))) )],[refute_0_403,refute_0_428]) ).

cnf(refute_0_430,plain,
    complement(X1) = join(complement(join(X1,X_86)),meet(complement(X1),X_86)),
    inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_86)),meet(join(zero,complement(X1)),X_86))) )],[refute_0_401,refute_0_429]) ).

cnf(refute_0_431,plain,
    complement(converse(skolemFOFtoCNF_X0)) = join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(subst,[],[refute_0_430:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_86,$fot(converse(composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_432,plain,
    X_85 = join(meet(X_85,X_86),complement(join(complement(X_85),X_86))),
    inference(subst,[],[refute_0_201:[bind(X0,$fot(X_85)),bind(X1,$fot(X_86))]]) ).

cnf(refute_0_433,plain,
    meet(X_86,X_85) = meet(X_85,X_86),
    inference(subst,[],[refute_0_285:[bind(X_19,$fot(X_86)),bind(X_20,$fot(X_85))]]) ).

cnf(refute_0_434,plain,
    ( meet(X_86,X_85) != meet(X_85,X_86)
    | meet(X_85,X_86) = meet(X_86,X_85) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_86,X_85))),bind(Y,$fot(meet(X_85,X_86)))]]) ).

cnf(refute_0_435,plain,
    meet(X_85,X_86) = meet(X_86,X_85),
    inference(resolve,[$cnf( $equal(meet(X_86,X_85),meet(X_85,X_86)) )],[refute_0_433,refute_0_434]) ).

cnf(refute_0_436,plain,
    ( X_85 != join(meet(X_85,X_86),complement(join(complement(X_85),X_86)))
    | meet(X_85,X_86) != meet(X_86,X_85)
    | X_85 = join(meet(X_86,X_85),complement(join(complement(X_85),X_86))) ),
    introduced(tautology,[equality,[$cnf( $equal(X_85,join(meet(X_85,X_86),complement(join(complement(X_85),X_86)))) ),[1,0],$fot(meet(X_86,X_85))]]) ).

cnf(refute_0_437,plain,
    ( X_85 != join(meet(X_85,X_86),complement(join(complement(X_85),X_86)))
    | X_85 = join(meet(X_86,X_85),complement(join(complement(X_85),X_86))) ),
    inference(resolve,[$cnf( $equal(meet(X_85,X_86),meet(X_86,X_85)) )],[refute_0_435,refute_0_436]) ).

cnf(refute_0_438,plain,
    X_85 = join(meet(X_86,X_85),complement(join(complement(X_85),X_86))),
    inference(resolve,[$cnf( $equal(X_85,join(meet(X_85,X_86),complement(join(complement(X_85),X_86)))) )],[refute_0_432,refute_0_437]) ).

cnf(refute_0_439,plain,
    meet(X0,join(zero,complement(X_32))) = complement(join(complement(X0),complement(join(zero,complement(X_32))))),
    inference(subst,[],[refute_0_148:[bind(X1,$fot(join(zero,complement(X_32))))]]) ).

cnf(refute_0_440,plain,
    meet(top,X_32) = complement(join(zero,complement(X_32))),
    inference(subst,[],[refute_0_183:[bind(X1,$fot(X_32))]]) ).

cnf(refute_0_441,plain,
    ( meet(top,X_32) != complement(join(zero,complement(X_32)))
    | complement(join(zero,complement(X_32))) = meet(top,X_32) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_32))),bind(Y,$fot(complement(join(zero,complement(X_32)))))]]) ).

cnf(refute_0_442,plain,
    complement(join(zero,complement(X_32))) = meet(top,X_32),
    inference(resolve,[$cnf( $equal(meet(top,X_32),complement(join(zero,complement(X_32)))) )],[refute_0_440,refute_0_441]) ).

cnf(refute_0_443,plain,
    ( complement(join(zero,complement(X_32))) != meet(top,X_32)
    | meet(X0,join(zero,complement(X_32))) != complement(join(complement(X0),complement(join(zero,complement(X_32)))))
    | meet(X0,join(zero,complement(X_32))) = complement(join(complement(X0),meet(top,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_32))),complement(join(complement(X0),complement(join(zero,complement(X_32)))))) ),[1,0,1],$fot(meet(top,X_32))]]) ).

cnf(refute_0_444,plain,
    ( meet(X0,join(zero,complement(X_32))) != complement(join(complement(X0),complement(join(zero,complement(X_32)))))
    | meet(X0,join(zero,complement(X_32))) = complement(join(complement(X0),meet(top,X_32))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_32))),meet(top,X_32)) )],[refute_0_442,refute_0_443]) ).

cnf(refute_0_445,plain,
    meet(X0,join(zero,complement(X_32))) = complement(join(complement(X0),meet(top,X_32))),
    inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_32))),complement(join(complement(X0),complement(join(zero,complement(X_32)))))) )],[refute_0_439,refute_0_444]) ).

cnf(refute_0_446,plain,
    join(zero,complement(X_32)) = complement(X_32),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(complement(X_32)))]]) ).

cnf(refute_0_447,plain,
    meet(X0,join(zero,complement(X_32))) = meet(X0,join(zero,complement(X_32))),
    introduced(tautology,[refl,[$fot(meet(X0,join(zero,complement(X_32))))]]) ).

cnf(refute_0_448,plain,
    ( join(zero,complement(X_32)) != complement(X_32)
    | meet(X0,join(zero,complement(X_32))) != meet(X0,join(zero,complement(X_32)))
    | meet(X0,join(zero,complement(X_32))) = meet(X0,complement(X_32)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_32))),meet(X0,join(zero,complement(X_32)))) ),[1,1],$fot(complement(X_32))]]) ).

cnf(refute_0_449,plain,
    ( join(zero,complement(X_32)) != complement(X_32)
    | meet(X0,join(zero,complement(X_32))) = meet(X0,complement(X_32)) ),
    inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_32))),meet(X0,join(zero,complement(X_32)))) )],[refute_0_447,refute_0_448]) ).

cnf(refute_0_450,plain,
    meet(X0,join(zero,complement(X_32))) = meet(X0,complement(X_32)),
    inference(resolve,[$cnf( $equal(join(zero,complement(X_32)),complement(X_32)) )],[refute_0_446,refute_0_449]) ).

cnf(refute_0_451,plain,
    ( meet(X0,join(zero,complement(X_32))) != complement(join(complement(X0),meet(top,X_32)))
    | meet(X0,join(zero,complement(X_32))) != meet(X0,complement(X_32))
    | meet(X0,complement(X_32)) = complement(join(complement(X0),meet(top,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_32))),complement(join(complement(X0),meet(top,X_32)))) ),[0],$fot(meet(X0,complement(X_32)))]]) ).

cnf(refute_0_452,plain,
    ( meet(X0,join(zero,complement(X_32))) != complement(join(complement(X0),meet(top,X_32)))
    | meet(X0,complement(X_32)) = complement(join(complement(X0),meet(top,X_32))) ),
    inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_32))),meet(X0,complement(X_32))) )],[refute_0_450,refute_0_451]) ).

cnf(refute_0_453,plain,
    meet(top,X_32) = X_32,
    inference(subst,[],[refute_0_328:[bind(X_87,$fot(X_32))]]) ).

cnf(refute_0_454,plain,
    join(complement(X0),meet(top,X_32)) = join(complement(X0),meet(top,X_32)),
    introduced(tautology,[refl,[$fot(join(complement(X0),meet(top,X_32)))]]) ).

cnf(refute_0_455,plain,
    ( join(complement(X0),meet(top,X_32)) != join(complement(X0),meet(top,X_32))
    | meet(top,X_32) != X_32
    | join(complement(X0),meet(top,X_32)) = join(complement(X0),X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),meet(top,X_32)),join(complement(X0),meet(top,X_32))) ),[1,1],$fot(X_32)]]) ).

cnf(refute_0_456,plain,
    ( meet(top,X_32) != X_32
    | join(complement(X0),meet(top,X_32)) = join(complement(X0),X_32) ),
    inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_32)),join(complement(X0),meet(top,X_32))) )],[refute_0_454,refute_0_455]) ).

cnf(refute_0_457,plain,
    join(complement(X0),meet(top,X_32)) = join(complement(X0),X_32),
    inference(resolve,[$cnf( $equal(meet(top,X_32),X_32) )],[refute_0_453,refute_0_456]) ).

cnf(refute_0_458,plain,
    complement(join(complement(X0),meet(top,X_32))) = complement(join(complement(X0),meet(top,X_32))),
    introduced(tautology,[refl,[$fot(complement(join(complement(X0),meet(top,X_32))))]]) ).

cnf(refute_0_459,plain,
    ( complement(join(complement(X0),meet(top,X_32))) != complement(join(complement(X0),meet(top,X_32)))
    | join(complement(X0),meet(top,X_32)) != join(complement(X0),X_32)
    | complement(join(complement(X0),meet(top,X_32))) = complement(join(complement(X0),X_32)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),meet(top,X_32))),complement(join(complement(X0),meet(top,X_32)))) ),[1,0],$fot(join(complement(X0),X_32))]]) ).

cnf(refute_0_460,plain,
    ( join(complement(X0),meet(top,X_32)) != join(complement(X0),X_32)
    | complement(join(complement(X0),meet(top,X_32))) = complement(join(complement(X0),X_32)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_32))),complement(join(complement(X0),meet(top,X_32)))) )],[refute_0_458,refute_0_459]) ).

cnf(refute_0_461,plain,
    complement(join(complement(X0),meet(top,X_32))) = complement(join(complement(X0),X_32)),
    inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_32)),join(complement(X0),X_32)) )],[refute_0_457,refute_0_460]) ).

cnf(refute_0_462,plain,
    ( complement(join(complement(X0),meet(top,X_32))) != complement(join(complement(X0),X_32))
    | meet(X0,complement(X_32)) != complement(join(complement(X0),meet(top,X_32)))
    | meet(X0,complement(X_32)) = complement(join(complement(X0),X_32)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(X_32)),complement(join(complement(X0),meet(top,X_32)))) ),[1],$fot(complement(join(complement(X0),X_32)))]]) ).

cnf(refute_0_463,plain,
    ( meet(X0,complement(X_32)) != complement(join(complement(X0),meet(top,X_32)))
    | meet(X0,complement(X_32)) = complement(join(complement(X0),X_32)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_32))),complement(join(complement(X0),X_32))) )],[refute_0_461,refute_0_462]) ).

cnf(refute_0_464,plain,
    ( meet(X0,join(zero,complement(X_32))) != complement(join(complement(X0),meet(top,X_32)))
    | meet(X0,complement(X_32)) = complement(join(complement(X0),X_32)) ),
    inference(resolve,[$cnf( $equal(meet(X0,complement(X_32)),complement(join(complement(X0),meet(top,X_32)))) )],[refute_0_452,refute_0_463]) ).

cnf(refute_0_465,plain,
    meet(X0,complement(X_32)) = complement(join(complement(X0),X_32)),
    inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_32))),complement(join(complement(X0),meet(top,X_32)))) )],[refute_0_445,refute_0_464]) ).

cnf(refute_0_466,plain,
    ( meet(X0,complement(X_32)) != complement(join(complement(X0),X_32))
    | complement(join(complement(X0),X_32)) = meet(X0,complement(X_32)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,complement(X_32)))),bind(Y,$fot(complement(join(complement(X0),X_32))))]]) ).

cnf(refute_0_467,plain,
    complement(join(complement(X0),X_32)) = meet(X0,complement(X_32)),
    inference(resolve,[$cnf( $equal(meet(X0,complement(X_32)),complement(join(complement(X0),X_32))) )],[refute_0_465,refute_0_466]) ).

cnf(refute_0_468,plain,
    complement(join(complement(X_85),X_86)) = meet(X_85,complement(X_86)),
    inference(subst,[],[refute_0_467:[bind(X0,$fot(X_85)),bind(X_32,$fot(X_86))]]) ).

cnf(refute_0_469,plain,
    join(meet(X_86,X_85),complement(join(complement(X_85),X_86))) = join(meet(X_86,X_85),complement(join(complement(X_85),X_86))),
    introduced(tautology,[refl,[$fot(join(meet(X_86,X_85),complement(join(complement(X_85),X_86))))]]) ).

cnf(refute_0_470,plain,
    ( complement(join(complement(X_85),X_86)) != meet(X_85,complement(X_86))
    | join(meet(X_86,X_85),complement(join(complement(X_85),X_86))) != join(meet(X_86,X_85),complement(join(complement(X_85),X_86)))
    | join(meet(X_86,X_85),complement(join(complement(X_85),X_86))) = join(meet(X_86,X_85),meet(X_85,complement(X_86))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_86,X_85),complement(join(complement(X_85),X_86))),join(meet(X_86,X_85),complement(join(complement(X_85),X_86)))) ),[1,1],$fot(meet(X_85,complement(X_86)))]]) ).

cnf(refute_0_471,plain,
    ( complement(join(complement(X_85),X_86)) != meet(X_85,complement(X_86))
    | join(meet(X_86,X_85),complement(join(complement(X_85),X_86))) = join(meet(X_86,X_85),meet(X_85,complement(X_86))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_86,X_85),complement(join(complement(X_85),X_86))),join(meet(X_86,X_85),complement(join(complement(X_85),X_86)))) )],[refute_0_469,refute_0_470]) ).

cnf(refute_0_472,plain,
    join(meet(X_86,X_85),complement(join(complement(X_85),X_86))) = join(meet(X_86,X_85),meet(X_85,complement(X_86))),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_85),X_86)),meet(X_85,complement(X_86))) )],[refute_0_468,refute_0_471]) ).

cnf(refute_0_473,plain,
    ( X_85 != join(meet(X_86,X_85),complement(join(complement(X_85),X_86)))
    | join(meet(X_86,X_85),complement(join(complement(X_85),X_86))) != join(meet(X_86,X_85),meet(X_85,complement(X_86)))
    | X_85 = join(meet(X_86,X_85),meet(X_85,complement(X_86))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_85,join(meet(X_86,X_85),meet(X_85,complement(X_86)))) ),[0],$fot(join(meet(X_86,X_85),complement(join(complement(X_85),X_86))))]]) ).

cnf(refute_0_474,plain,
    ( X_85 != join(meet(X_86,X_85),complement(join(complement(X_85),X_86)))
    | X_85 = join(meet(X_86,X_85),meet(X_85,complement(X_86))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_86,X_85),complement(join(complement(X_85),X_86))),join(meet(X_86,X_85),meet(X_85,complement(X_86)))) )],[refute_0_472,refute_0_473]) ).

cnf(refute_0_475,plain,
    X_85 = join(meet(X_86,X_85),meet(X_85,complement(X_86))),
    inference(resolve,[$cnf( $equal(X_85,join(meet(X_86,X_85),complement(join(complement(X_85),X_86)))) )],[refute_0_438,refute_0_474]) ).

cnf(refute_0_476,plain,
    X_99 = join(meet(X_100,X_99),meet(X_99,complement(X_100))),
    inference(subst,[],[refute_0_475:[bind(X_85,$fot(X_99)),bind(X_86,$fot(X_100))]]) ).

cnf(refute_0_477,plain,
    meet(complement(X_100),X_99) = meet(X_99,complement(X_100)),
    inference(subst,[],[refute_0_285:[bind(X_19,$fot(complement(X_100))),bind(X_20,$fot(X_99))]]) ).

cnf(refute_0_478,plain,
    ( meet(complement(X_100),X_99) != meet(X_99,complement(X_100))
    | meet(X_99,complement(X_100)) = meet(complement(X_100),X_99) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_100),X_99))),bind(Y,$fot(meet(X_99,complement(X_100))))]]) ).

cnf(refute_0_479,plain,
    meet(X_99,complement(X_100)) = meet(complement(X_100),X_99),
    inference(resolve,[$cnf( $equal(meet(complement(X_100),X_99),meet(X_99,complement(X_100))) )],[refute_0_477,refute_0_478]) ).

cnf(refute_0_480,plain,
    ( X_99 != join(meet(X_100,X_99),meet(X_99,complement(X_100)))
    | meet(X_99,complement(X_100)) != meet(complement(X_100),X_99)
    | X_99 = join(meet(X_100,X_99),meet(complement(X_100),X_99)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_99,join(meet(X_100,X_99),meet(X_99,complement(X_100)))) ),[1,1],$fot(meet(complement(X_100),X_99))]]) ).

cnf(refute_0_481,plain,
    ( X_99 != join(meet(X_100,X_99),meet(X_99,complement(X_100)))
    | X_99 = join(meet(X_100,X_99),meet(complement(X_100),X_99)) ),
    inference(resolve,[$cnf( $equal(meet(X_99,complement(X_100)),meet(complement(X_100),X_99)) )],[refute_0_479,refute_0_480]) ).

cnf(refute_0_482,plain,
    X_99 = join(meet(X_100,X_99),meet(complement(X_100),X_99)),
    inference(resolve,[$cnf( $equal(X_99,join(meet(X_100,X_99),meet(X_99,complement(X_100)))) )],[refute_0_476,refute_0_481]) ).

cnf(refute_0_483,plain,
    converse(composition(skolemFOFtoCNF_X0,complement(one))) = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(subst,[],[refute_0_482:[bind(X_100,$fot(converse(skolemFOFtoCNF_X0))),bind(X_99,$fot(converse(composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_484,plain,
    converse(complement(converse(complement(X_100)))) = join(meet(X_100,converse(complement(converse(complement(X_100))))),meet(converse(complement(converse(complement(X_100)))),complement(X_100))),
    inference(subst,[],[refute_0_475:[bind(X_85,$fot(converse(complement(converse(complement(X_100)))))),bind(X_86,$fot(X_100))]]) ).

cnf(refute_0_485,plain,
    X_85 = join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(join(complement(X_85),converse(complement(converse(complement(X_85))))))),
    inference(subst,[],[refute_0_201:[bind(X0,$fot(X_85)),bind(X1,$fot(converse(complement(converse(complement(X_85))))))]]) ).

cnf(refute_0_486,plain,
    converse(join(converse(X0),X_6)) = join(converse(converse(X0)),converse(X_6)),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_6))]]) ).

cnf(refute_0_487,plain,
    ( converse(converse(X0)) != X0
    | converse(join(converse(X0),X_6)) != join(converse(converse(X0)),converse(X_6))
    | converse(join(converse(X0),X_6)) = join(X0,converse(X_6)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_6)),join(converse(converse(X0)),converse(X_6))) ),[1,0],$fot(X0)]]) ).

cnf(refute_0_488,plain,
    ( converse(join(converse(X0),X_6)) != join(converse(converse(X0)),converse(X_6))
    | converse(join(converse(X0),X_6)) = join(X0,converse(X_6)) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_19,refute_0_487]) ).

cnf(refute_0_489,plain,
    converse(join(converse(X0),X_6)) = join(X0,converse(X_6)),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_6)),join(converse(converse(X0)),converse(X_6))) )],[refute_0_486,refute_0_488]) ).

cnf(refute_0_490,plain,
    converse(join(converse(X_11),complement(converse(X_11)))) = join(X_11,converse(complement(converse(X_11)))),
    inference(subst,[],[refute_0_489:[bind(X0,$fot(X_11)),bind(X_6,$fot(complement(converse(X_11))))]]) ).

cnf(refute_0_491,plain,
    top = join(converse(X_11),complement(converse(X_11))),
    inference(subst,[],[refute_0_158:[bind(X0,$fot(converse(X_11)))]]) ).

cnf(refute_0_492,plain,
    ( top != join(converse(X_11),complement(converse(X_11)))
    | join(converse(X_11),complement(converse(X_11))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_11),complement(converse(X_11)))))]]) ).

cnf(refute_0_493,plain,
    join(converse(X_11),complement(converse(X_11))) = top,
    inference(resolve,[$cnf( $equal(top,join(converse(X_11),complement(converse(X_11)))) )],[refute_0_491,refute_0_492]) ).

cnf(refute_0_494,plain,
    ( converse(join(converse(X_11),complement(converse(X_11)))) != join(X_11,converse(complement(converse(X_11))))
    | join(converse(X_11),complement(converse(X_11))) != top
    | converse(top) = join(X_11,converse(complement(converse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_11),complement(converse(X_11)))),join(X_11,converse(complement(converse(X_11))))) ),[0,0],$fot(top)]]) ).

cnf(refute_0_495,plain,
    ( converse(join(converse(X_11),complement(converse(X_11)))) != join(X_11,converse(complement(converse(X_11))))
    | converse(top) = join(X_11,converse(complement(converse(X_11)))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_11),complement(converse(X_11))),top) )],[refute_0_493,refute_0_494]) ).

cnf(refute_0_496,plain,
    converse(top) = join(X_11,converse(complement(converse(X_11)))),
    inference(resolve,[$cnf( $equal(converse(join(converse(X_11),complement(converse(X_11)))),join(X_11,converse(complement(converse(X_11))))) )],[refute_0_490,refute_0_495]) ).

cnf(refute_0_497,plain,
    converse(top) = join(join(X_5,converse(X0)),converse(complement(converse(join(X_5,converse(X0)))))),
    inference(subst,[],[refute_0_496:[bind(X_11,$fot(join(X_5,converse(X0))))]]) ).

cnf(refute_0_498,plain,
    converse(join(X_5,converse(X0))) = join(converse(X_5),converse(converse(X0))),
    inference(subst,[],[refute_0_44:[bind(X0,$fot(X_5)),bind(X1,$fot(converse(X0)))]]) ).

cnf(refute_0_499,plain,
    ( converse(converse(X0)) != X0
    | converse(join(X_5,converse(X0))) != join(converse(X_5),converse(converse(X0)))
    | converse(join(X_5,converse(X0))) = join(converse(X_5),X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_5,converse(X0))),join(converse(X_5),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).

cnf(refute_0_500,plain,
    ( converse(join(X_5,converse(X0))) != join(converse(X_5),converse(converse(X0)))
    | converse(join(X_5,converse(X0))) = join(converse(X_5),X0) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_19,refute_0_499]) ).

cnf(refute_0_501,plain,
    converse(join(X_5,converse(X0))) = join(converse(X_5),X0),
    inference(resolve,[$cnf( $equal(converse(join(X_5,converse(X0))),join(converse(X_5),converse(converse(X0)))) )],[refute_0_498,refute_0_500]) ).

cnf(refute_0_502,plain,
    ( converse(join(X_5,converse(X0))) != join(converse(X_5),X0)
    | converse(top) != join(join(X_5,converse(X0)),converse(complement(converse(join(X_5,converse(X0))))))
    | converse(top) = join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_5,converse(X0)),converse(complement(converse(join(X_5,converse(X0))))))) ),[1,1,0,0],$fot(join(converse(X_5),X0))]]) ).

cnf(refute_0_503,plain,
    ( converse(top) != join(join(X_5,converse(X0)),converse(complement(converse(join(X_5,converse(X0))))))
    | converse(top) = join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_5,converse(X0))),join(converse(X_5),X0)) )],[refute_0_501,refute_0_502]) ).

cnf(refute_0_504,plain,
    converse(top) = join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(X_5,converse(X0)),converse(complement(converse(join(X_5,converse(X0))))))) )],[refute_0_497,refute_0_503]) ).

cnf(refute_0_505,plain,
    join(converse(X0),converse(complement(join(converse(X_5),X0)))) = converse(join(X0,complement(join(converse(X_5),X0)))),
    inference(subst,[],[refute_0_50:[bind(X1,$fot(complement(join(converse(X_5),X0))))]]) ).

cnf(refute_0_506,plain,
    join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))) = join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))),
    introduced(tautology,[refl,[$fot(join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))))]]) ).

cnf(refute_0_507,plain,
    ( join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))) != join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0)))))
    | join(converse(X0),converse(complement(join(converse(X_5),X0)))) != converse(join(X0,complement(join(converse(X_5),X0))))
    | join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))) = join(X_5,converse(join(X0,complement(join(converse(X_5),X0))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))),join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0)))))) ),[1,1],$fot(converse(join(X0,complement(join(converse(X_5),X0)))))]]) ).

cnf(refute_0_508,plain,
    ( join(converse(X0),converse(complement(join(converse(X_5),X0)))) != converse(join(X0,complement(join(converse(X_5),X0))))
    | join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))) = join(X_5,converse(join(X0,complement(join(converse(X_5),X0))))) ),
    inference(resolve,[$cnf( $equal(join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))),join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0)))))) )],[refute_0_506,refute_0_507]) ).

cnf(refute_0_509,plain,
    join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))) = join(X_5,converse(join(X0,complement(join(converse(X_5),X0))))),
    inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(join(converse(X_5),X0)))),converse(join(X0,complement(join(converse(X_5),X0))))) )],[refute_0_505,refute_0_508]) ).

cnf(refute_0_510,plain,
    join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))) = join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))),
    inference(subst,[],[refute_0_70:[bind(X0,$fot(X_5)),bind(X1,$fot(converse(X0))),bind(X2,$fot(converse(complement(join(converse(X_5),X0)))))]]) ).

cnf(refute_0_511,plain,
    ( join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))) != join(X_5,converse(join(X0,complement(join(converse(X_5),X0)))))
    | join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))) != join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0)))))
    | join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))) = join(X_5,converse(join(X0,complement(join(converse(X_5),X0))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))))),bind(Y,$fot(join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))))),bind(Z,$fot(join(X_5,converse(join(X0,complement(join(converse(X_5),X0)))))))]]) ).

cnf(refute_0_512,plain,
    ( join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))) != join(X_5,converse(join(X0,complement(join(converse(X_5),X0)))))
    | join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))) = join(X_5,converse(join(X0,complement(join(converse(X_5),X0))))) ),
    inference(resolve,[$cnf( $equal(join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))),join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0)))))) )],[refute_0_510,refute_0_511]) ).

cnf(refute_0_513,plain,
    join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))) = join(X_5,converse(join(X0,complement(join(converse(X_5),X0))))),
    inference(resolve,[$cnf( $equal(join(X_5,join(converse(X0),converse(complement(join(converse(X_5),X0))))),join(X_5,converse(join(X0,complement(join(converse(X_5),X0)))))) )],[refute_0_509,refute_0_512]) ).

cnf(refute_0_514,plain,
    ( converse(top) != join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0))))
    | join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))) != join(X_5,converse(join(X0,complement(join(converse(X_5),X0)))))
    | converse(top) = join(X_5,converse(join(X0,complement(join(converse(X_5),X0))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_5,converse(join(X0,complement(join(converse(X_5),X0)))))) ),[0],$fot(join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))))]]) ).

cnf(refute_0_515,plain,
    ( converse(top) != join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0))))
    | converse(top) = join(X_5,converse(join(X0,complement(join(converse(X_5),X0))))) ),
    inference(resolve,[$cnf( $equal(join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0)))),join(X_5,converse(join(X0,complement(join(converse(X_5),X0)))))) )],[refute_0_513,refute_0_514]) ).

cnf(refute_0_516,plain,
    converse(top) = join(X_5,converse(join(X0,complement(join(converse(X_5),X0))))),
    inference(resolve,[$cnf( $equal(converse(top),join(join(X_5,converse(X0)),converse(complement(join(converse(X_5),X0))))) )],[refute_0_504,refute_0_515]) ).

cnf(refute_0_517,plain,
    converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero))))))),
    inference(subst,[],[refute_0_516:[bind(X0,$fot(complement(converse(zero)))),bind(X_5,$fot(top))]]) ).

cnf(refute_0_518,plain,
    converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(complement(converse(zero))))),
    inference(subst,[],[refute_0_54:[bind(X0,$fot(converse(complement(converse(zero))))),bind(X1,$fot(top))]]) ).

cnf(refute_0_519,plain,
    join(top,join(zero,X_43)) = join(join(top,zero),X_43),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_43))]]) ).

cnf(refute_0_520,plain,
    top = join(top,complement(top)),
    inference(subst,[],[refute_0_158:[bind(X0,$fot(top))]]) ).

cnf(refute_0_521,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_522,plain,
    ( top != join(top,complement(top))
    | top = join(top,zero) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_521]) ).

cnf(refute_0_523,plain,
    top = join(top,zero),
    inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_520,refute_0_522]) ).

cnf(refute_0_524,plain,
    ( top != join(top,zero)
    | join(top,zero) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).

cnf(refute_0_525,plain,
    join(top,zero) = top,
    inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_523,refute_0_524]) ).

cnf(refute_0_526,plain,
    ( join(top,join(zero,X_43)) != join(join(top,zero),X_43)
    | join(top,zero) != top
    | join(top,join(zero,X_43)) = join(top,X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_43)),join(join(top,zero),X_43)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_527,plain,
    ( join(top,join(zero,X_43)) != join(join(top,zero),X_43)
    | join(top,join(zero,X_43)) = join(top,X_43) ),
    inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_525,refute_0_526]) ).

cnf(refute_0_528,plain,
    join(top,join(zero,X_43)) = join(top,X_43),
    inference(resolve,[$cnf( $equal(join(top,join(zero,X_43)),join(join(top,zero),X_43)) )],[refute_0_519,refute_0_527]) ).

cnf(refute_0_529,plain,
    join(top,join(zero,converse(complement(converse(zero))))) = join(top,converse(complement(converse(zero)))),
    inference(subst,[],[refute_0_528:[bind(X_43,$fot(converse(complement(converse(zero)))))]]) ).

cnf(refute_0_530,plain,
    converse(top) = join(zero,converse(complement(converse(zero)))),
    inference(subst,[],[refute_0_496:[bind(X_11,$fot(zero))]]) ).

cnf(refute_0_531,plain,
    ( converse(top) != join(zero,converse(complement(converse(zero))))
    | join(zero,converse(complement(converse(zero)))) = converse(top) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).

cnf(refute_0_532,plain,
    join(zero,converse(complement(converse(zero)))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_530,refute_0_531]) ).

cnf(refute_0_533,plain,
    ( join(top,join(zero,converse(complement(converse(zero))))) != join(top,converse(complement(converse(zero))))
    | join(zero,converse(complement(converse(zero)))) != converse(top)
    | join(top,converse(top)) = join(top,converse(complement(converse(zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,converse(complement(converse(zero))))),join(top,converse(complement(converse(zero))))) ),[0,1],$fot(converse(top))]]) ).

cnf(refute_0_534,plain,
    ( join(top,join(zero,converse(complement(converse(zero))))) != join(top,converse(complement(converse(zero))))
    | join(top,converse(top)) = join(top,converse(complement(converse(zero)))) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_532,refute_0_533]) ).

cnf(refute_0_535,plain,
    join(top,converse(top)) = join(top,converse(complement(converse(zero)))),
    inference(resolve,[$cnf( $equal(join(top,join(zero,converse(complement(converse(zero))))),join(top,converse(complement(converse(zero))))) )],[refute_0_529,refute_0_534]) ).

cnf(refute_0_536,plain,
    ( join(top,converse(top)) != join(top,converse(complement(converse(zero))))
    | join(top,converse(complement(converse(zero)))) = join(top,converse(top)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(top,converse(top)))),bind(Y,$fot(join(top,converse(complement(converse(zero))))))]]) ).

cnf(refute_0_537,plain,
    join(top,converse(complement(converse(zero)))) = join(top,converse(top)),
    inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,converse(complement(converse(zero))))) )],[refute_0_535,refute_0_536]) ).

cnf(refute_0_538,plain,
    ( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(complement(converse(zero)))))
    | join(top,converse(complement(converse(zero)))) != join(top,converse(top))
    | converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(complement(converse(zero)))))) ),[1,0],$fot(join(top,converse(top)))]]) ).

cnf(refute_0_539,plain,
    ( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(complement(converse(zero)))))
    | converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))) ),
    inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(zero)))),join(top,converse(top))) )],[refute_0_537,refute_0_538]) ).

cnf(refute_0_540,plain,
    converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(complement(converse(zero)))))) )],[refute_0_518,refute_0_539]) ).

cnf(refute_0_541,plain,
    converse(join(top,converse(complement(converse(zero))))) = join(converse(top),complement(converse(zero))),
    inference(subst,[],[refute_0_501:[bind(X0,$fot(complement(converse(zero)))),bind(X_5,$fot(top))]]) ).

cnf(refute_0_542,plain,
    ( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(complement(converse(zero)))))
    | converse(join(top,converse(complement(converse(zero))))) != join(converse(top),complement(converse(zero)))
    | converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(join(converse(complement(converse(zero))),top)))),bind(Y,$fot(converse(join(top,converse(complement(converse(zero))))))),bind(Z,$fot(join(converse(top),complement(converse(zero)))))]]) ).

cnf(refute_0_543,plain,
    ( converse(join(top,converse(complement(converse(zero))))) != join(converse(top),complement(converse(zero)))
    | converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(complement(converse(zero)))))) )],[refute_0_518,refute_0_542]) ).

cnf(refute_0_544,plain,
    converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))),
    inference(resolve,[$cnf( $equal(converse(join(top,converse(complement(converse(zero))))),join(converse(top),complement(converse(zero)))) )],[refute_0_541,refute_0_543]) ).

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

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

cnf(refute_0_547,plain,
    join(X_41,join(X_42,join(zero,complement(X_42)))) = join(join(X_41,X_42),join(zero,complement(X_42))),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(X_41)),bind(X1,$fot(X_42)),bind(X2,$fot(join(zero,complement(X_42))))]]) ).

cnf(refute_0_548,plain,
    converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),
    inference(subst,[],[refute_0_489:[bind(X_6,$fot(converse(join(zero,complement(converse(converse(X0)))))))]]) ).

cnf(refute_0_549,plain,
    converse(top) = join(X_36,converse(join(complement(converse(X_36)),complement(join(converse(X_36),complement(converse(X_36))))))),
    inference(subst,[],[refute_0_516:[bind(X0,$fot(complement(converse(X_36)))),bind(X_5,$fot(X_36))]]) ).

cnf(refute_0_550,plain,
    top = join(converse(X_36),complement(converse(X_36))),
    inference(subst,[],[refute_0_158:[bind(X0,$fot(converse(X_36)))]]) ).

cnf(refute_0_551,plain,
    ( top != join(converse(X_36),complement(converse(X_36)))
    | join(converse(X_36),complement(converse(X_36))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_36),complement(converse(X_36)))))]]) ).

cnf(refute_0_552,plain,
    join(converse(X_36),complement(converse(X_36))) = top,
    inference(resolve,[$cnf( $equal(top,join(converse(X_36),complement(converse(X_36)))) )],[refute_0_550,refute_0_551]) ).

cnf(refute_0_553,plain,
    ( converse(top) != join(X_36,converse(join(complement(converse(X_36)),complement(join(converse(X_36),complement(converse(X_36)))))))
    | join(converse(X_36),complement(converse(X_36))) != top
    | converse(top) = join(X_36,converse(join(complement(converse(X_36)),complement(top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_36,converse(join(complement(converse(X_36)),complement(join(converse(X_36),complement(converse(X_36)))))))) ),[1,1,0,1,0],$fot(top)]]) ).

cnf(refute_0_554,plain,
    ( converse(top) != join(X_36,converse(join(complement(converse(X_36)),complement(join(converse(X_36),complement(converse(X_36)))))))
    | converse(top) = join(X_36,converse(join(complement(converse(X_36)),complement(top)))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_36),complement(converse(X_36))),top) )],[refute_0_552,refute_0_553]) ).

cnf(refute_0_555,plain,
    converse(top) = join(X_36,converse(join(complement(converse(X_36)),complement(top)))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_36,converse(join(complement(converse(X_36)),complement(join(converse(X_36),complement(converse(X_36)))))))) )],[refute_0_549,refute_0_554]) ).

cnf(refute_0_556,plain,
    join(complement(top),complement(converse(X_36))) = join(complement(top),complement(converse(X_36))),
    introduced(tautology,[refl,[$fot(join(complement(top),complement(converse(X_36))))]]) ).

cnf(refute_0_557,plain,
    ( complement(top) != zero
    | join(complement(top),complement(converse(X_36))) != join(complement(top),complement(converse(X_36)))
    | join(complement(top),complement(converse(X_36))) = join(zero,complement(converse(X_36))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(converse(X_36))),join(complement(top),complement(converse(X_36)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_558,plain,
    ( complement(top) != zero
    | join(complement(top),complement(converse(X_36))) = join(zero,complement(converse(X_36))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_36))),join(complement(top),complement(converse(X_36)))) )],[refute_0_556,refute_0_557]) ).

cnf(refute_0_559,plain,
    join(complement(top),complement(converse(X_36))) = join(zero,complement(converse(X_36))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_558]) ).

cnf(refute_0_560,plain,
    converse(join(complement(top),complement(converse(X_36)))) = converse(join(complement(top),complement(converse(X_36)))),
    introduced(tautology,[refl,[$fot(converse(join(complement(top),complement(converse(X_36)))))]]) ).

cnf(refute_0_561,plain,
    ( converse(join(complement(top),complement(converse(X_36)))) != converse(join(complement(top),complement(converse(X_36))))
    | join(complement(top),complement(converse(X_36))) != join(zero,complement(converse(X_36)))
    | converse(join(complement(top),complement(converse(X_36)))) = converse(join(zero,complement(converse(X_36)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),complement(converse(X_36)))),converse(join(complement(top),complement(converse(X_36))))) ),[1,0],$fot(join(zero,complement(converse(X_36))))]]) ).

cnf(refute_0_562,plain,
    ( join(complement(top),complement(converse(X_36))) != join(zero,complement(converse(X_36)))
    | converse(join(complement(top),complement(converse(X_36)))) = converse(join(zero,complement(converse(X_36)))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_36)))),converse(join(complement(top),complement(converse(X_36))))) )],[refute_0_560,refute_0_561]) ).

cnf(refute_0_563,plain,
    converse(join(complement(top),complement(converse(X_36)))) = converse(join(zero,complement(converse(X_36)))),
    inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_36))),join(zero,complement(converse(X_36)))) )],[refute_0_559,refute_0_562]) ).

cnf(refute_0_564,plain,
    join(X_36,converse(join(complement(top),complement(converse(X_36))))) = join(X_36,converse(join(complement(top),complement(converse(X_36))))),
    introduced(tautology,[refl,[$fot(join(X_36,converse(join(complement(top),complement(converse(X_36))))))]]) ).

cnf(refute_0_565,plain,
    ( converse(join(complement(top),complement(converse(X_36)))) != converse(join(zero,complement(converse(X_36))))
    | join(X_36,converse(join(complement(top),complement(converse(X_36))))) != join(X_36,converse(join(complement(top),complement(converse(X_36)))))
    | join(X_36,converse(join(complement(top),complement(converse(X_36))))) = join(X_36,converse(join(zero,complement(converse(X_36))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_36,converse(join(complement(top),complement(converse(X_36))))),join(X_36,converse(join(complement(top),complement(converse(X_36)))))) ),[1,1],$fot(converse(join(zero,complement(converse(X_36)))))]]) ).

cnf(refute_0_566,plain,
    ( converse(join(complement(top),complement(converse(X_36)))) != converse(join(zero,complement(converse(X_36))))
    | join(X_36,converse(join(complement(top),complement(converse(X_36))))) = join(X_36,converse(join(zero,complement(converse(X_36))))) ),
    inference(resolve,[$cnf( $equal(join(X_36,converse(join(complement(top),complement(converse(X_36))))),join(X_36,converse(join(complement(top),complement(converse(X_36)))))) )],[refute_0_564,refute_0_565]) ).

cnf(refute_0_567,plain,
    join(X_36,converse(join(complement(top),complement(converse(X_36))))) = join(X_36,converse(join(zero,complement(converse(X_36))))),
    inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_36)))),converse(join(zero,complement(converse(X_36))))) )],[refute_0_563,refute_0_566]) ).

cnf(refute_0_568,plain,
    converse(join(converse(X0),join(X_17,X_18))) = join(X0,converse(join(X_17,X_18))),
    inference(subst,[],[refute_0_489:[bind(X_6,$fot(join(X_17,X_18)))]]) ).

cnf(refute_0_569,plain,
    converse(join(X_17,X_18)) = converse(join(X_18,X_17)),
    inference(subst,[],[refute_0_54:[bind(X0,$fot(X_17)),bind(X1,$fot(X_18))]]) ).

cnf(refute_0_570,plain,
    ( converse(join(X_17,X_18)) != converse(join(X_18,X_17))
    | converse(join(converse(X0),join(X_17,X_18))) != join(X0,converse(join(X_17,X_18)))
    | converse(join(converse(X0),join(X_17,X_18))) = join(X0,converse(join(X_18,X_17))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_17,X_18))),join(X0,converse(join(X_17,X_18)))) ),[1,1],$fot(converse(join(X_18,X_17)))]]) ).

cnf(refute_0_571,plain,
    ( converse(join(converse(X0),join(X_17,X_18))) != join(X0,converse(join(X_17,X_18)))
    | converse(join(converse(X0),join(X_17,X_18))) = join(X0,converse(join(X_18,X_17))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_17,X_18)),converse(join(X_18,X_17))) )],[refute_0_569,refute_0_570]) ).

cnf(refute_0_572,plain,
    converse(join(converse(X0),join(X_17,X_18))) = join(X0,converse(join(X_18,X_17))),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_17,X_18))),join(X0,converse(join(X_17,X_18)))) )],[refute_0_568,refute_0_571]) ).

cnf(refute_0_573,plain,
    ( converse(join(converse(X0),join(X_17,X_18))) != join(X0,converse(join(X_17,X_18)))
    | converse(join(converse(X0),join(X_17,X_18))) != join(X0,converse(join(X_18,X_17)))
    | join(X0,converse(join(X_17,X_18))) = join(X0,converse(join(X_18,X_17))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_17,X_18))),join(X0,converse(join(X_18,X_17)))) ),[0],$fot(join(X0,converse(join(X_17,X_18))))]]) ).

cnf(refute_0_574,plain,
    ( converse(join(converse(X0),join(X_17,X_18))) != join(X0,converse(join(X_18,X_17)))
    | join(X0,converse(join(X_17,X_18))) = join(X0,converse(join(X_18,X_17))) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_17,X_18))),join(X0,converse(join(X_17,X_18)))) )],[refute_0_568,refute_0_573]) ).

cnf(refute_0_575,plain,
    join(X0,converse(join(X_17,X_18))) = join(X0,converse(join(X_18,X_17))),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_17,X_18))),join(X0,converse(join(X_18,X_17)))) )],[refute_0_572,refute_0_574]) ).

cnf(refute_0_576,plain,
    ( join(X0,converse(join(X_17,X_18))) != join(X0,converse(join(X_18,X_17)))
    | join(X0,converse(join(X_18,X_17))) = join(X0,converse(join(X_17,X_18))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,converse(join(X_17,X_18))))),bind(Y,$fot(join(X0,converse(join(X_18,X_17)))))]]) ).

cnf(refute_0_577,plain,
    join(X0,converse(join(X_18,X_17))) = join(X0,converse(join(X_17,X_18))),
    inference(resolve,[$cnf( $equal(join(X0,converse(join(X_17,X_18))),join(X0,converse(join(X_18,X_17)))) )],[refute_0_575,refute_0_576]) ).

cnf(refute_0_578,plain,
    join(X_36,converse(join(complement(converse(X_36)),complement(top)))) = join(X_36,converse(join(complement(top),complement(converse(X_36))))),
    inference(subst,[],[refute_0_577:[bind(X0,$fot(X_36)),bind(X_17,$fot(complement(top))),bind(X_18,$fot(complement(converse(X_36))))]]) ).

cnf(refute_0_579,plain,
    ( join(X_36,converse(join(complement(converse(X_36)),complement(top)))) != join(X_36,converse(join(complement(top),complement(converse(X_36)))))
    | join(X_36,converse(join(complement(top),complement(converse(X_36))))) != join(X_36,converse(join(zero,complement(converse(X_36)))))
    | join(X_36,converse(join(complement(converse(X_36)),complement(top)))) = join(X_36,converse(join(zero,complement(converse(X_36))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(X_36,converse(join(complement(converse(X_36)),complement(top)))))),bind(Y,$fot(join(X_36,converse(join(complement(top),complement(converse(X_36))))))),bind(Z,$fot(join(X_36,converse(join(zero,complement(converse(X_36)))))))]]) ).

cnf(refute_0_580,plain,
    ( join(X_36,converse(join(complement(top),complement(converse(X_36))))) != join(X_36,converse(join(zero,complement(converse(X_36)))))
    | join(X_36,converse(join(complement(converse(X_36)),complement(top)))) = join(X_36,converse(join(zero,complement(converse(X_36))))) ),
    inference(resolve,[$cnf( $equal(join(X_36,converse(join(complement(converse(X_36)),complement(top)))),join(X_36,converse(join(complement(top),complement(converse(X_36)))))) )],[refute_0_578,refute_0_579]) ).

cnf(refute_0_581,plain,
    join(X_36,converse(join(complement(converse(X_36)),complement(top)))) = join(X_36,converse(join(zero,complement(converse(X_36))))),
    inference(resolve,[$cnf( $equal(join(X_36,converse(join(complement(top),complement(converse(X_36))))),join(X_36,converse(join(zero,complement(converse(X_36)))))) )],[refute_0_567,refute_0_580]) ).

cnf(refute_0_582,plain,
    ( converse(top) != join(X_36,converse(join(complement(converse(X_36)),complement(top))))
    | join(X_36,converse(join(complement(converse(X_36)),complement(top)))) != join(X_36,converse(join(zero,complement(converse(X_36)))))
    | converse(top) = join(X_36,converse(join(zero,complement(converse(X_36))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_36,converse(join(zero,complement(converse(X_36)))))) ),[0],$fot(join(X_36,converse(join(complement(converse(X_36)),complement(top)))))]]) ).

cnf(refute_0_583,plain,
    ( converse(top) != join(X_36,converse(join(complement(converse(X_36)),complement(top))))
    | converse(top) = join(X_36,converse(join(zero,complement(converse(X_36))))) ),
    inference(resolve,[$cnf( $equal(join(X_36,converse(join(complement(converse(X_36)),complement(top)))),join(X_36,converse(join(zero,complement(converse(X_36)))))) )],[refute_0_581,refute_0_582]) ).

cnf(refute_0_584,plain,
    converse(top) = join(X_36,converse(join(zero,complement(converse(X_36))))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_36,converse(join(complement(converse(X_36)),complement(top))))) )],[refute_0_555,refute_0_583]) ).

cnf(refute_0_585,plain,
    converse(top) = join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))),
    inference(subst,[],[refute_0_584:[bind(X_36,$fot(converse(X0)))]]) ).

cnf(refute_0_586,plain,
    ( converse(top) != join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))
    | join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))) = converse(top) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))))]]) ).

cnf(refute_0_587,plain,
    join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(top),join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) )],[refute_0_585,refute_0_586]) ).

cnf(refute_0_588,plain,
    ( converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
    | join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))) != converse(top)
    | converse(converse(top)) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[0,0],$fot(converse(top))]]) ).

cnf(refute_0_589,plain,
    ( converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
    | converse(converse(top)) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))),converse(top)) )],[refute_0_587,refute_0_588]) ).

cnf(refute_0_590,plain,
    converse(converse(top)) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_548,refute_0_589]) ).

cnf(refute_0_591,plain,
    converse(converse(top)) = top,
    inference(subst,[],[refute_0_19:[bind(X0,$fot(top))]]) ).

cnf(refute_0_592,plain,
    ( converse(converse(top)) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
    | converse(converse(top)) != top
    | top = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[0],$fot(top)]]) ).

cnf(refute_0_593,plain,
    ( converse(converse(top)) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
    | top = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
    inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_591,refute_0_592]) ).

cnf(refute_0_594,plain,
    join(zero,complement(converse(converse(X0)))) = join(zero,complement(converse(converse(X0)))),
    introduced(tautology,[refl,[$fot(join(zero,complement(converse(converse(X0)))))]]) ).

cnf(refute_0_595,plain,
    ( complement(converse(converse(X0))) != complement(X0)
    | join(zero,complement(converse(converse(X0)))) != join(zero,complement(converse(converse(X0))))
    | join(zero,complement(converse(converse(X0)))) = join(zero,complement(X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(converse(converse(X0)))),join(zero,complement(converse(converse(X0))))) ),[1,1],$fot(complement(X0))]]) ).

cnf(refute_0_596,plain,
    ( complement(converse(converse(X0))) != complement(X0)
    | join(zero,complement(converse(converse(X0)))) = join(zero,complement(X0)) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(converse(converse(X0)))),join(zero,complement(converse(converse(X0))))) )],[refute_0_594,refute_0_595]) ).

cnf(refute_0_597,plain,
    join(zero,complement(converse(converse(X0)))) = join(zero,complement(X0)),
    inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_143,refute_0_596]) ).

cnf(refute_0_598,plain,
    converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(converse(converse(X0)))),
    inference(subst,[],[refute_0_19:[bind(X0,$fot(join(zero,complement(converse(converse(X0))))))]]) ).

cnf(refute_0_599,plain,
    ( converse(converse(join(zero,complement(converse(converse(X0)))))) != join(zero,complement(converse(converse(X0))))
    | join(zero,complement(converse(converse(X0)))) != join(zero,complement(X0))
    | converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(X0)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(converse(join(zero,complement(converse(converse(X0)))))))),bind(Y,$fot(join(zero,complement(converse(converse(X0)))))),bind(Z,$fot(join(zero,complement(X0))))]]) ).

cnf(refute_0_600,plain,
    ( join(zero,complement(converse(converse(X0)))) != join(zero,complement(X0))
    | converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(X0)) ),
    inference(resolve,[$cnf( $equal(converse(converse(join(zero,complement(converse(converse(X0)))))),join(zero,complement(converse(converse(X0))))) )],[refute_0_598,refute_0_599]) ).

cnf(refute_0_601,plain,
    converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(X0)),
    inference(resolve,[$cnf( $equal(join(zero,complement(converse(converse(X0)))),join(zero,complement(X0))) )],[refute_0_597,refute_0_600]) ).

cnf(refute_0_602,plain,
    join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),
    introduced(tautology,[refl,[$fot(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))))]]) ).

cnf(refute_0_603,plain,
    ( converse(converse(join(zero,complement(converse(converse(X0)))))) != join(zero,complement(X0))
    | join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
    | join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,join(zero,complement(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[1,1],$fot(join(zero,complement(X0)))]]) ).

cnf(refute_0_604,plain,
    ( converse(converse(join(zero,complement(converse(converse(X0)))))) != join(zero,complement(X0))
    | join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,join(zero,complement(X0))) ),
    inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_602,refute_0_603]) ).

cnf(refute_0_605,plain,
    join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,join(zero,complement(X0))),
    inference(resolve,[$cnf( $equal(converse(converse(join(zero,complement(converse(converse(X0)))))),join(zero,complement(X0))) )],[refute_0_601,refute_0_604]) ).

cnf(refute_0_606,plain,
    ( join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) != join(X0,join(zero,complement(X0)))
    | top != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
    | top = join(X0,join(zero,complement(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[1],$fot(join(X0,join(zero,complement(X0))))]]) ).

cnf(refute_0_607,plain,
    ( top != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
    | top = join(X0,join(zero,complement(X0))) ),
    inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),join(X0,join(zero,complement(X0)))) )],[refute_0_605,refute_0_606]) ).

cnf(refute_0_608,plain,
    ( converse(converse(top)) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
    | top = join(X0,join(zero,complement(X0))) ),
    inference(resolve,[$cnf( $equal(top,join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_593,refute_0_607]) ).

cnf(refute_0_609,plain,
    top = join(X0,join(zero,complement(X0))),
    inference(resolve,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_590,refute_0_608]) ).

cnf(refute_0_610,plain,
    top = join(X_42,join(zero,complement(X_42))),
    inference(subst,[],[refute_0_609:[bind(X0,$fot(X_42))]]) ).

cnf(refute_0_611,plain,
    ( top != join(X_42,join(zero,complement(X_42)))
    | join(X_42,join(zero,complement(X_42))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_42,join(zero,complement(X_42)))))]]) ).

cnf(refute_0_612,plain,
    join(X_42,join(zero,complement(X_42))) = top,
    inference(resolve,[$cnf( $equal(top,join(X_42,join(zero,complement(X_42)))) )],[refute_0_610,refute_0_611]) ).

cnf(refute_0_613,plain,
    ( join(X_41,join(X_42,join(zero,complement(X_42)))) != join(join(X_41,X_42),join(zero,complement(X_42)))
    | join(X_42,join(zero,complement(X_42))) != top
    | join(X_41,top) = join(join(X_41,X_42),join(zero,complement(X_42))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(X_42,join(zero,complement(X_42)))),join(join(X_41,X_42),join(zero,complement(X_42)))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_614,plain,
    ( join(X_41,join(X_42,join(zero,complement(X_42)))) != join(join(X_41,X_42),join(zero,complement(X_42)))
    | join(X_41,top) = join(join(X_41,X_42),join(zero,complement(X_42))) ),
    inference(resolve,[$cnf( $equal(join(X_42,join(zero,complement(X_42))),top) )],[refute_0_612,refute_0_613]) ).

cnf(refute_0_615,plain,
    join(X_41,top) = join(join(X_41,X_42),join(zero,complement(X_42))),
    inference(resolve,[$cnf( $equal(join(X_41,join(X_42,join(zero,complement(X_42)))),join(join(X_41,X_42),join(zero,complement(X_42)))) )],[refute_0_547,refute_0_614]) ).

cnf(refute_0_616,plain,
    join(X0,join(X_41,X_42)) = join(join(X_41,X_42),X0),
    inference(subst,[],[refute_0_1:[bind(X1,$fot(join(X_41,X_42)))]]) ).

cnf(refute_0_617,plain,
    join(X_41,join(X_42,X0)) = join(join(X_41,X_42),X0),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(X_41)),bind(X1,$fot(X_42)),bind(X2,$fot(X0))]]) ).

cnf(refute_0_618,plain,
    ( join(X_41,join(X_42,X0)) != join(join(X_41,X_42),X0)
    | join(join(X_41,X_42),X0) = join(X_41,join(X_42,X0)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_41,join(X_42,X0)))),bind(Y,$fot(join(join(X_41,X_42),X0)))]]) ).

cnf(refute_0_619,plain,
    join(join(X_41,X_42),X0) = join(X_41,join(X_42,X0)),
    inference(resolve,[$cnf( $equal(join(X_41,join(X_42,X0)),join(join(X_41,X_42),X0)) )],[refute_0_617,refute_0_618]) ).

cnf(refute_0_620,plain,
    ( join(X0,join(X_41,X_42)) != join(join(X_41,X_42),X0)
    | join(join(X_41,X_42),X0) != join(X_41,join(X_42,X0))
    | join(X0,join(X_41,X_42)) = join(X_41,join(X_42,X0)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_41,X_42)),join(X_41,join(X_42,X0))) ),[0],$fot(join(join(X_41,X_42),X0))]]) ).

cnf(refute_0_621,plain,
    ( join(X0,join(X_41,X_42)) != join(join(X_41,X_42),X0)
    | join(X0,join(X_41,X_42)) = join(X_41,join(X_42,X0)) ),
    inference(resolve,[$cnf( $equal(join(join(X_41,X_42),X0),join(X_41,join(X_42,X0))) )],[refute_0_619,refute_0_620]) ).

cnf(refute_0_622,plain,
    join(X0,join(X_41,X_42)) = join(X_41,join(X_42,X0)),
    inference(resolve,[$cnf( $equal(join(X0,join(X_41,X_42)),join(join(X_41,X_42),X0)) )],[refute_0_616,refute_0_621]) ).

cnf(refute_0_623,plain,
    ( join(X0,join(X_41,X_42)) != join(X_41,join(X_42,X0))
    | join(X_41,join(X_42,X0)) = join(X0,join(X_41,X_42)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X_41,X_42)))),bind(Y,$fot(join(X_41,join(X_42,X0))))]]) ).

cnf(refute_0_624,plain,
    join(X_41,join(X_42,X0)) = join(X0,join(X_41,X_42)),
    inference(resolve,[$cnf( $equal(join(X0,join(X_41,X_42)),join(X_41,join(X_42,X0))) )],[refute_0_622,refute_0_623]) ).

cnf(refute_0_625,plain,
    join(complement(X_42),join(X_41,X_42)) = join(X_42,join(complement(X_42),X_41)),
    inference(subst,[],[refute_0_624:[bind(X0,$fot(X_42)),bind(X_41,$fot(complement(X_42))),bind(X_42,$fot(X_41))]]) ).

cnf(refute_0_626,plain,
    join(zero,join(complement(X_42),join(X_41,X_42))) = join(zero,join(complement(X_42),join(X_41,X_42))),
    introduced(tautology,[refl,[$fot(join(zero,join(complement(X_42),join(X_41,X_42))))]]) ).

cnf(refute_0_627,plain,
    ( join(complement(X_42),join(X_41,X_42)) != join(X_42,join(complement(X_42),X_41))
    | join(zero,join(complement(X_42),join(X_41,X_42))) != join(zero,join(complement(X_42),join(X_41,X_42)))
    | join(zero,join(complement(X_42),join(X_41,X_42))) = join(zero,join(X_42,join(complement(X_42),X_41))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_42),join(X_41,X_42))),join(zero,join(complement(X_42),join(X_41,X_42)))) ),[1,1],$fot(join(X_42,join(complement(X_42),X_41)))]]) ).

cnf(refute_0_628,plain,
    ( join(complement(X_42),join(X_41,X_42)) != join(X_42,join(complement(X_42),X_41))
    | join(zero,join(complement(X_42),join(X_41,X_42))) = join(zero,join(X_42,join(complement(X_42),X_41))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(X_42),join(X_41,X_42))),join(zero,join(complement(X_42),join(X_41,X_42)))) )],[refute_0_626,refute_0_627]) ).

cnf(refute_0_629,plain,
    join(zero,join(complement(X_42),join(X_41,X_42))) = join(zero,join(X_42,join(complement(X_42),X_41))),
    inference(resolve,[$cnf( $equal(join(complement(X_42),join(X_41,X_42)),join(X_42,join(complement(X_42),X_41))) )],[refute_0_625,refute_0_628]) ).

cnf(refute_0_630,plain,
    join(complement(X_42),join(join(X_41,X_42),zero)) = join(zero,join(complement(X_42),join(X_41,X_42))),
    inference(subst,[],[refute_0_624:[bind(X0,$fot(zero)),bind(X_41,$fot(complement(X_42))),bind(X_42,$fot(join(X_41,X_42)))]]) ).

cnf(refute_0_631,plain,
    join(join(X_41,X_42),join(zero,complement(X_42))) = join(complement(X_42),join(join(X_41,X_42),zero)),
    inference(subst,[],[refute_0_624:[bind(X0,$fot(complement(X_42))),bind(X_41,$fot(join(X_41,X_42))),bind(X_42,$fot(zero))]]) ).

cnf(refute_0_632,plain,
    ( join(complement(X_42),join(join(X_41,X_42),zero)) != join(zero,join(complement(X_42),join(X_41,X_42)))
    | join(join(X_41,X_42),join(zero,complement(X_42))) != join(complement(X_42),join(join(X_41,X_42),zero))
    | join(join(X_41,X_42),join(zero,complement(X_42))) = join(zero,join(complement(X_42),join(X_41,X_42))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(join(X_41,X_42),join(zero,complement(X_42))))),bind(Y,$fot(join(complement(X_42),join(join(X_41,X_42),zero)))),bind(Z,$fot(join(zero,join(complement(X_42),join(X_41,X_42)))))]]) ).

cnf(refute_0_633,plain,
    ( join(complement(X_42),join(join(X_41,X_42),zero)) != join(zero,join(complement(X_42),join(X_41,X_42)))
    | join(join(X_41,X_42),join(zero,complement(X_42))) = join(zero,join(complement(X_42),join(X_41,X_42))) ),
    inference(resolve,[$cnf( $equal(join(join(X_41,X_42),join(zero,complement(X_42))),join(complement(X_42),join(join(X_41,X_42),zero))) )],[refute_0_631,refute_0_632]) ).

cnf(refute_0_634,plain,
    join(join(X_41,X_42),join(zero,complement(X_42))) = join(zero,join(complement(X_42),join(X_41,X_42))),
    inference(resolve,[$cnf( $equal(join(complement(X_42),join(join(X_41,X_42),zero)),join(zero,join(complement(X_42),join(X_41,X_42)))) )],[refute_0_630,refute_0_633]) ).

cnf(refute_0_635,plain,
    ( join(join(X_41,X_42),join(zero,complement(X_42))) != join(zero,join(complement(X_42),join(X_41,X_42)))
    | join(zero,join(complement(X_42),join(X_41,X_42))) != join(zero,join(X_42,join(complement(X_42),X_41)))
    | join(join(X_41,X_42),join(zero,complement(X_42))) = join(zero,join(X_42,join(complement(X_42),X_41))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(join(X_41,X_42),join(zero,complement(X_42))))),bind(Y,$fot(join(zero,join(complement(X_42),join(X_41,X_42))))),bind(Z,$fot(join(zero,join(X_42,join(complement(X_42),X_41)))))]]) ).

cnf(refute_0_636,plain,
    ( join(zero,join(complement(X_42),join(X_41,X_42))) != join(zero,join(X_42,join(complement(X_42),X_41)))
    | join(join(X_41,X_42),join(zero,complement(X_42))) = join(zero,join(X_42,join(complement(X_42),X_41))) ),
    inference(resolve,[$cnf( $equal(join(join(X_41,X_42),join(zero,complement(X_42))),join(zero,join(complement(X_42),join(X_41,X_42)))) )],[refute_0_634,refute_0_635]) ).

cnf(refute_0_637,plain,
    join(join(X_41,X_42),join(zero,complement(X_42))) = join(zero,join(X_42,join(complement(X_42),X_41))),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(X_42),join(X_41,X_42))),join(zero,join(X_42,join(complement(X_42),X_41)))) )],[refute_0_629,refute_0_636]) ).

cnf(refute_0_638,plain,
    ( join(X_41,top) != join(join(X_41,X_42),join(zero,complement(X_42)))
    | join(join(X_41,X_42),join(zero,complement(X_42))) != join(zero,join(X_42,join(complement(X_42),X_41)))
    | join(X_41,top) = join(zero,join(X_42,join(complement(X_42),X_41))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_41,top),join(zero,join(X_42,join(complement(X_42),X_41)))) ),[0],$fot(join(join(X_41,X_42),join(zero,complement(X_42))))]]) ).

cnf(refute_0_639,plain,
    ( join(X_41,top) != join(join(X_41,X_42),join(zero,complement(X_42)))
    | join(X_41,top) = join(zero,join(X_42,join(complement(X_42),X_41))) ),
    inference(resolve,[$cnf( $equal(join(join(X_41,X_42),join(zero,complement(X_42))),join(zero,join(X_42,join(complement(X_42),X_41)))) )],[refute_0_637,refute_0_638]) ).

cnf(refute_0_640,plain,
    join(X_41,top) = join(zero,join(X_42,join(complement(X_42),X_41))),
    inference(resolve,[$cnf( $equal(join(X_41,top),join(join(X_41,X_42),join(zero,complement(X_42)))) )],[refute_0_615,refute_0_639]) ).

cnf(refute_0_641,plain,
    join(top,join(zero,X_41)) = join(top,X_41),
    inference(subst,[],[refute_0_528:[bind(X_43,$fot(X_41))]]) ).

cnf(refute_0_642,plain,
    ( join(X_41,join(X_42,X_43)) != join(X_42,join(X_41,X_43))
    | join(X_42,join(X_41,X_43)) = join(X_41,join(X_42,X_43)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_41,join(X_42,X_43)))),bind(Y,$fot(join(X_42,join(X_41,X_43))))]]) ).

cnf(refute_0_643,plain,
    join(X_42,join(X_41,X_43)) = join(X_41,join(X_42,X_43)),
    inference(resolve,[$cnf( $equal(join(X_41,join(X_42,X_43)),join(X_42,join(X_41,X_43))) )],[refute_0_74,refute_0_642]) ).

cnf(refute_0_644,plain,
    join(zero,join(top,X_41)) = join(top,join(zero,X_41)),
    inference(subst,[],[refute_0_643:[bind(X_41,$fot(top)),bind(X_42,$fot(zero)),bind(X_43,$fot(X_41))]]) ).

cnf(refute_0_645,plain,
    ( join(top,join(zero,X_41)) != join(top,X_41)
    | join(zero,join(top,X_41)) != join(top,join(zero,X_41))
    | join(zero,join(top,X_41)) = join(top,X_41) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(zero,join(top,X_41)))),bind(Y,$fot(join(top,join(zero,X_41)))),bind(Z,$fot(join(top,X_41)))]]) ).

cnf(refute_0_646,plain,
    ( join(top,join(zero,X_41)) != join(top,X_41)
    | join(zero,join(top,X_41)) = join(top,X_41) ),
    inference(resolve,[$cnf( $equal(join(zero,join(top,X_41)),join(top,join(zero,X_41))) )],[refute_0_644,refute_0_645]) ).

cnf(refute_0_647,plain,
    join(zero,join(top,X_41)) = join(top,X_41),
    inference(resolve,[$cnf( $equal(join(top,join(zero,X_41)),join(top,X_41)) )],[refute_0_641,refute_0_646]) ).

cnf(refute_0_648,plain,
    join(X_42,join(complement(X_42),X_41)) = join(top,X_41),
    inference(subst,[],[refute_0_209:[bind(X_41,$fot(X_42)),bind(X_43,$fot(X_41))]]) ).

cnf(refute_0_649,plain,
    join(zero,join(X_42,join(complement(X_42),X_41))) = join(zero,join(X_42,join(complement(X_42),X_41))),
    introduced(tautology,[refl,[$fot(join(zero,join(X_42,join(complement(X_42),X_41))))]]) ).

cnf(refute_0_650,plain,
    ( join(X_42,join(complement(X_42),X_41)) != join(top,X_41)
    | join(zero,join(X_42,join(complement(X_42),X_41))) != join(zero,join(X_42,join(complement(X_42),X_41)))
    | join(zero,join(X_42,join(complement(X_42),X_41))) = join(zero,join(top,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X_42,join(complement(X_42),X_41))),join(zero,join(X_42,join(complement(X_42),X_41)))) ),[1,1],$fot(join(top,X_41))]]) ).

cnf(refute_0_651,plain,
    ( join(X_42,join(complement(X_42),X_41)) != join(top,X_41)
    | join(zero,join(X_42,join(complement(X_42),X_41))) = join(zero,join(top,X_41)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(X_42,join(complement(X_42),X_41))),join(zero,join(X_42,join(complement(X_42),X_41)))) )],[refute_0_649,refute_0_650]) ).

cnf(refute_0_652,plain,
    join(zero,join(X_42,join(complement(X_42),X_41))) = join(zero,join(top,X_41)),
    inference(resolve,[$cnf( $equal(join(X_42,join(complement(X_42),X_41)),join(top,X_41)) )],[refute_0_648,refute_0_651]) ).

cnf(refute_0_653,plain,
    ( join(zero,join(X_42,join(complement(X_42),X_41))) != join(zero,join(top,X_41))
    | join(zero,join(top,X_41)) != join(top,X_41)
    | join(zero,join(X_42,join(complement(X_42),X_41))) = join(top,X_41) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(zero,join(X_42,join(complement(X_42),X_41))))),bind(Y,$fot(join(zero,join(top,X_41)))),bind(Z,$fot(join(top,X_41)))]]) ).

cnf(refute_0_654,plain,
    ( join(zero,join(top,X_41)) != join(top,X_41)
    | join(zero,join(X_42,join(complement(X_42),X_41))) = join(top,X_41) ),
    inference(resolve,[$cnf( $equal(join(zero,join(X_42,join(complement(X_42),X_41))),join(zero,join(top,X_41))) )],[refute_0_652,refute_0_653]) ).

cnf(refute_0_655,plain,
    join(zero,join(X_42,join(complement(X_42),X_41))) = join(top,X_41),
    inference(resolve,[$cnf( $equal(join(zero,join(top,X_41)),join(top,X_41)) )],[refute_0_647,refute_0_654]) ).

cnf(refute_0_656,plain,
    ( join(X_41,top) != join(zero,join(X_42,join(complement(X_42),X_41)))
    | join(zero,join(X_42,join(complement(X_42),X_41))) != join(top,X_41)
    | join(X_41,top) = join(top,X_41) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_41,top),join(top,X_41)) ),[0],$fot(join(zero,join(X_42,join(complement(X_42),X_41))))]]) ).

cnf(refute_0_657,plain,
    ( join(X_41,top) != join(zero,join(X_42,join(complement(X_42),X_41)))
    | join(X_41,top) = join(top,X_41) ),
    inference(resolve,[$cnf( $equal(join(zero,join(X_42,join(complement(X_42),X_41))),join(top,X_41)) )],[refute_0_655,refute_0_656]) ).

cnf(refute_0_658,plain,
    join(X_41,top) = join(top,X_41),
    inference(resolve,[$cnf( $equal(join(X_41,top),join(zero,join(X_42,join(complement(X_42),X_41)))) )],[refute_0_640,refute_0_657]) ).

cnf(refute_0_659,plain,
    join(converse(top),top) = join(top,converse(top)),
    inference(subst,[],[refute_0_658:[bind(X_41,$fot(converse(top)))]]) ).

cnf(refute_0_660,plain,
    converse(join(top,converse(top))) = join(converse(top),top),
    inference(subst,[],[refute_0_501:[bind(X0,$fot(top)),bind(X_5,$fot(top))]]) ).

cnf(refute_0_661,plain,
    ( converse(join(top,converse(top))) != join(converse(top),top)
    | join(converse(top),top) != join(top,converse(top))
    | converse(join(top,converse(top))) = join(top,converse(top)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(join(top,converse(top))))),bind(Y,$fot(join(converse(top),top))),bind(Z,$fot(join(top,converse(top))))]]) ).

cnf(refute_0_662,plain,
    ( join(converse(top),top) != join(top,converse(top))
    | converse(join(top,converse(top))) = join(top,converse(top)) ),
    inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(converse(top),top)) )],[refute_0_660,refute_0_661]) ).

cnf(refute_0_663,plain,
    converse(join(top,converse(top))) = join(top,converse(top)),
    inference(resolve,[$cnf( $equal(join(converse(top),top),join(top,converse(top))) )],[refute_0_659,refute_0_662]) ).

cnf(refute_0_664,plain,
    ( converse(join(top,converse(top))) != join(top,converse(top))
    | join(converse(top),complement(converse(zero))) != converse(join(top,converse(top)))
    | join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(converse(zero))),converse(join(top,converse(top)))) ),[1],$fot(join(top,converse(top)))]]) ).

cnf(refute_0_665,plain,
    ( join(converse(top),complement(converse(zero))) != converse(join(top,converse(top)))
    | join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
    inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(top,converse(top))) )],[refute_0_663,refute_0_664]) ).

cnf(refute_0_666,plain,
    ( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(top)))
    | join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
    inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),converse(join(top,converse(top)))) )],[refute_0_546,refute_0_665]) ).

cnf(refute_0_667,plain,
    join(converse(top),complement(converse(zero))) = join(top,converse(top)),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(top)))) )],[refute_0_540,refute_0_666]) ).

cnf(refute_0_668,plain,
    ( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))
    | join(converse(top),complement(converse(zero))) != join(top,converse(top))
    | converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))) ),[1,1,0,1,0],$fot(join(top,converse(top)))]]) ).

cnf(refute_0_669,plain,
    ( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))
    | converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) ),
    inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),join(top,converse(top))) )],[refute_0_667,refute_0_668]) ).

cnf(refute_0_670,plain,
    converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))) )],[refute_0_517,refute_0_669]) ).

cnf(refute_0_671,plain,
    join(X_41,join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top)))))) = join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(X_41)),bind(X1,$fot(meet(top,join(zero,zero)))),bind(X2,$fot(join(zero,meet(top,join(zero,meet(top,top))))))]]) ).

cnf(refute_0_672,plain,
    join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) = join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top))))),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))))),bind(X1,$fot(zero))]]) ).

cnf(refute_0_673,plain,
    top = join(join(zero,complement(X_32)),complement(join(zero,complement(X_32)))),
    inference(subst,[],[refute_0_158:[bind(X0,$fot(join(zero,complement(X_32))))]]) ).

cnf(refute_0_674,plain,
    ( complement(join(zero,complement(X_32))) != meet(top,X_32)
    | top != join(join(zero,complement(X_32)),complement(join(zero,complement(X_32))))
    | top = join(join(zero,complement(X_32)),meet(top,X_32)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,complement(X_32)),complement(join(zero,complement(X_32))))) ),[1,1],$fot(meet(top,X_32))]]) ).

cnf(refute_0_675,plain,
    ( top != join(join(zero,complement(X_32)),complement(join(zero,complement(X_32))))
    | top = join(join(zero,complement(X_32)),meet(top,X_32)) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_32))),meet(top,X_32)) )],[refute_0_442,refute_0_674]) ).

cnf(refute_0_676,plain,
    top = join(join(zero,complement(X_32)),meet(top,X_32)),
    inference(resolve,[$cnf( $equal(top,join(join(zero,complement(X_32)),complement(join(zero,complement(X_32))))) )],[refute_0_673,refute_0_675]) ).

cnf(refute_0_677,plain,
    join(join(zero,complement(X_32)),meet(top,X_32)) = join(zero,join(complement(X_32),meet(top,X_32))),
    inference(subst,[],[refute_0_70:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X_32))),bind(X2,$fot(meet(top,X_32)))]]) ).

cnf(refute_0_678,plain,
    ( join(join(zero,complement(X_32)),meet(top,X_32)) != join(zero,join(complement(X_32),meet(top,X_32)))
    | top != join(join(zero,complement(X_32)),meet(top,X_32))
    | top = join(zero,join(complement(X_32),meet(top,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,complement(X_32)),meet(top,X_32))) ),[1],$fot(join(zero,join(complement(X_32),meet(top,X_32))))]]) ).

cnf(refute_0_679,plain,
    ( top != join(join(zero,complement(X_32)),meet(top,X_32))
    | top = join(zero,join(complement(X_32),meet(top,X_32))) ),
    inference(resolve,[$cnf( $equal(join(join(zero,complement(X_32)),meet(top,X_32)),join(zero,join(complement(X_32),meet(top,X_32)))) )],[refute_0_677,refute_0_678]) ).

cnf(refute_0_680,plain,
    top = join(zero,join(complement(X_32),meet(top,X_32))),
    inference(resolve,[$cnf( $equal(top,join(join(zero,complement(X_32)),meet(top,X_32))) )],[refute_0_676,refute_0_679]) ).

cnf(refute_0_681,plain,
    top = join(zero,join(complement(join(zero,meet(top,top))),meet(top,join(zero,meet(top,top))))),
    inference(subst,[],[refute_0_680:[bind(X_32,$fot(join(zero,meet(top,top))))]]) ).

cnf(refute_0_682,plain,
    meet(top,join(zero,zero)) = complement(join(zero,complement(join(zero,zero)))),
    inference(subst,[],[refute_0_183:[bind(X1,$fot(join(zero,zero)))]]) ).

cnf(refute_0_683,plain,
    meet(top,top) = complement(join(zero,complement(top))),
    inference(subst,[],[refute_0_183:[bind(X1,$fot(top))]]) ).

cnf(refute_0_684,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_685,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_180,refute_0_684]) ).

cnf(refute_0_686,plain,
    meet(top,top) = complement(join(zero,zero)),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_683,refute_0_685]) ).

cnf(refute_0_687,plain,
    ( meet(top,top) != complement(join(zero,zero))
    | complement(join(zero,zero)) = meet(top,top) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).

cnf(refute_0_688,plain,
    complement(join(zero,zero)) = meet(top,top),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_686,refute_0_687]) ).

cnf(refute_0_689,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_690,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_688,refute_0_689]) ).

cnf(refute_0_691,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_682,refute_0_690]) ).

cnf(refute_0_692,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_4:[bind(X,$fot(meet(top,join(zero,zero)))),bind(Y,$fot(complement(join(zero,meet(top,top)))))]]) ).

cnf(refute_0_693,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_691,refute_0_692]) ).

cnf(refute_0_694,plain,
    ( complement(join(zero,meet(top,top))) != meet(top,join(zero,zero))
    | top != join(zero,join(complement(join(zero,meet(top,top))),meet(top,join(zero,meet(top,top)))))
    | top = join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(complement(join(zero,meet(top,top))),meet(top,join(zero,meet(top,top)))))) ),[1,1,0],$fot(meet(top,join(zero,zero)))]]) ).

cnf(refute_0_695,plain,
    ( top != join(zero,join(complement(join(zero,meet(top,top))),meet(top,join(zero,meet(top,top)))))
    | top = join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top))))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,top))),meet(top,join(zero,zero))) )],[refute_0_693,refute_0_694]) ).

cnf(refute_0_696,plain,
    top = join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top))))),
    inference(resolve,[$cnf( $equal(top,join(zero,join(complement(join(zero,meet(top,top))),meet(top,join(zero,meet(top,top)))))) )],[refute_0_681,refute_0_695]) ).

cnf(refute_0_697,plain,
    ( top != join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))))
    | join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top))))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))))))]]) ).

cnf(refute_0_698,plain,
    join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top))))) = top,
    inference(resolve,[$cnf( $equal(top,join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))))) )],[refute_0_696,refute_0_697]) ).

cnf(refute_0_699,plain,
    ( join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) != join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))))
    | join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top))))) != top
    | join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero),top) ),[0],$fot(join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top))))))]]) ).

cnf(refute_0_700,plain,
    ( join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) != join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))))
    | join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) = top ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top))))),top) )],[refute_0_698,refute_0_699]) ).

cnf(refute_0_701,plain,
    join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) = top,
    inference(resolve,[$cnf( $equal(join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero),join(zero,join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))))) )],[refute_0_672,refute_0_700]) ).

cnf(refute_0_702,plain,
    join(meet(top,join(zero,meet(top,top))),zero) = join(zero,meet(top,join(zero,meet(top,top)))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,join(zero,meet(top,top)))))]]) ).

cnf(refute_0_703,plain,
    join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)) = join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)),
    introduced(tautology,[refl,[$fot(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)))]]) ).

cnf(refute_0_704,plain,
    ( join(meet(top,join(zero,meet(top,top))),zero) != join(zero,meet(top,join(zero,meet(top,top))))
    | join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)) != join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero))
    | join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)) = join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)),join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero))) ),[1,1],$fot(join(zero,meet(top,join(zero,meet(top,top)))))]]) ).

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

cnf(refute_0_706,plain,
    join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)) = join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top))))),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),zero),join(zero,meet(top,join(zero,meet(top,top))))) )],[refute_0_702,refute_0_705]) ).

cnf(refute_0_707,plain,
    join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) = join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)),
    inference(subst,[],[refute_0_70:[bind(X0,$fot(meet(top,join(zero,zero)))),bind(X1,$fot(meet(top,join(zero,meet(top,top))))),bind(X2,$fot(zero))]]) ).

cnf(refute_0_708,plain,
    ( join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) != join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero))
    | join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)) != join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top)))))
    | join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) = join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero))),bind(Y,$fot(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)))),bind(Z,$fot(join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top)))))))]]) ).

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

cnf(refute_0_710,plain,
    join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) = join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top))))),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),zero)),join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top)))))) )],[refute_0_706,refute_0_709]) ).

cnf(refute_0_711,plain,
    ( join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) != join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top)))))
    | join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero) != top
    | join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top))))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero),top) ),[0],$fot(join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top))))))]]) ).

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

cnf(refute_0_713,plain,
    join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top))))) = top,
    inference(resolve,[$cnf( $equal(join(join(meet(top,join(zero,zero)),meet(top,join(zero,meet(top,top)))),zero),top) )],[refute_0_701,refute_0_712]) ).

cnf(refute_0_714,plain,
    ( join(X_41,join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top)))))) != join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top)))))
    | join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top))))) != top
    | join(X_41,top) = join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top)))))),join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top)))))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_715,plain,
    ( join(X_41,join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top)))))) != join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top)))))
    | join(X_41,top) = join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))) ),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top))))),top) )],[refute_0_713,refute_0_714]) ).

cnf(refute_0_716,plain,
    join(X_41,top) = join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))),
    inference(resolve,[$cnf( $equal(join(X_41,join(meet(top,join(zero,zero)),join(zero,meet(top,join(zero,meet(top,top)))))),join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top)))))) )],[refute_0_671,refute_0_715]) ).

cnf(refute_0_717,plain,
    join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero)))) = join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)),
    inference(subst,[],[refute_0_624:[bind(X0,$fot(meet(top,join(zero,zero)))),bind(X_41,$fot(meet(top,join(zero,meet(top,top))))),bind(X_42,$fot(X_41))]]) ).

cnf(refute_0_718,plain,
    join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))) = join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))),
    introduced(tautology,[refl,[$fot(join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))))]]) ).

cnf(refute_0_719,plain,
    ( join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero)))) != join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))
    | join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))) != join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero)))))
    | join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))) = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))),join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero)))))) ),[1,1],$fot(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))]]) ).

cnf(refute_0_720,plain,
    ( join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero)))) != join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))
    | join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))) = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))),join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero)))))) )],[refute_0_718,refute_0_719]) ).

cnf(refute_0_721,plain,
    join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))) = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero)))),join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) )],[refute_0_717,refute_0_720]) ).

cnf(refute_0_722,plain,
    join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))) = join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))),
    inference(subst,[],[refute_0_622:[bind(X0,$fot(join(X_41,meet(top,join(zero,zero))))),bind(X_41,$fot(zero)),bind(X_42,$fot(meet(top,join(zero,meet(top,top)))))]]) ).

cnf(refute_0_723,plain,
    ( join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))) != join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero)))))
    | join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))) != join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))
    | join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))) = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))))),bind(Y,$fot(join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))))),bind(Z,$fot(join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))))]]) ).

cnf(refute_0_724,plain,
    ( join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))) != join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))
    | join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))) = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) ),
    inference(resolve,[$cnf( $equal(join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))),join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero)))))) )],[refute_0_722,refute_0_723]) ).

cnf(refute_0_725,plain,
    join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))) = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,top))),join(X_41,meet(top,join(zero,zero))))),join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))) )],[refute_0_721,refute_0_724]) ).

cnf(refute_0_726,plain,
    ( join(X_41,top) != join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top)))))
    | join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))) != join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))
    | join(X_41,top) = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_41,top),join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))) ),[0],$fot(join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))))]]) ).

cnf(refute_0_727,plain,
    ( join(X_41,top) != join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top)))))
    | join(X_41,top) = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) ),
    inference(resolve,[$cnf( $equal(join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top))))),join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))) )],[refute_0_725,refute_0_726]) ).

cnf(refute_0_728,plain,
    join(X_41,top) = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))),
    inference(resolve,[$cnf( $equal(join(X_41,top),join(join(X_41,meet(top,join(zero,zero))),join(zero,meet(top,join(zero,meet(top,top)))))) )],[refute_0_716,refute_0_727]) ).

cnf(refute_0_729,plain,
    join(X_41,top) = top,
    inference(subst,[],[refute_0_259:[bind(X_51,$fot(X_41))]]) ).

cnf(refute_0_730,plain,
    ( join(X_41,top) != join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))
    | join(X_41,top) != top
    | top = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_41,top),join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))) ),[0],$fot(top)]]) ).

cnf(refute_0_731,plain,
    ( join(X_41,top) != join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))
    | top = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) ),
    inference(resolve,[$cnf( $equal(join(X_41,top),top) )],[refute_0_729,refute_0_730]) ).

cnf(refute_0_732,plain,
    join(zero,join(complement(zero),X_41)) = join(top,X_41),
    inference(subst,[],[refute_0_209:[bind(X_41,$fot(zero)),bind(X_43,$fot(X_41))]]) ).

cnf(refute_0_733,plain,
    complement(complement(top)) = complement(complement(top)),
    introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).

cnf(refute_0_734,plain,
    ( complement(complement(top)) != complement(complement(top))
    | complement(top) != zero
    | complement(complement(top)) = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_735,plain,
    ( complement(top) != zero
    | complement(complement(top)) = complement(zero) ),
    inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_733,refute_0_734]) ).

cnf(refute_0_736,plain,
    complement(complement(top)) = complement(zero),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_735]) ).

cnf(refute_0_737,plain,
    meet(X1,X1) = complement(join(complement(X1),complement(X1))),
    inference(subst,[],[refute_0_148:[bind(X0,$fot(X1))]]) ).

cnf(refute_0_738,plain,
    ( join(complement(X1),complement(X1)) != complement(X1)
    | meet(X1,X1) != complement(join(complement(X1),complement(X1)))
    | meet(X1,X1) = complement(complement(X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).

cnf(refute_0_739,plain,
    ( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
    | meet(X1,X1) = complement(complement(X1)) ),
    inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_246,refute_0_738]) ).

cnf(refute_0_740,plain,
    meet(X1,X1) = complement(complement(X1)),
    inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_737,refute_0_739]) ).

cnf(refute_0_741,plain,
    meet(top,top) = complement(complement(top)),
    inference(subst,[],[refute_0_740:[bind(X1,$fot(top))]]) ).

cnf(refute_0_742,plain,
    ( complement(complement(top)) != complement(zero)
    | meet(top,top) != complement(complement(top))
    | meet(top,top) = complement(zero) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).

cnf(refute_0_743,plain,
    ( complement(complement(top)) != complement(zero)
    | meet(top,top) = complement(zero) ),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(complement(top))) )],[refute_0_741,refute_0_742]) ).

cnf(refute_0_744,plain,
    meet(top,top) = complement(zero),
    inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_736,refute_0_743]) ).

cnf(refute_0_745,plain,
    join(zero,complement(zero)) = top,
    inference(subst,[],[refute_0_160:[bind(X0,$fot(zero))]]) ).

cnf(refute_0_746,plain,
    join(zero,meet(top,top)) = join(zero,meet(top,top)),
    introduced(tautology,[refl,[$fot(join(zero,meet(top,top)))]]) ).

cnf(refute_0_747,plain,
    ( join(zero,meet(top,top)) != join(zero,meet(top,top))
    | meet(top,top) != complement(zero)
    | join(zero,meet(top,top)) = join(zero,complement(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,top)),join(zero,meet(top,top))) ),[1,1],$fot(complement(zero))]]) ).

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

cnf(refute_0_749,plain,
    join(zero,meet(top,top)) = join(zero,complement(zero)),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_0_744,refute_0_748]) ).

cnf(refute_0_750,plain,
    ( join(zero,complement(zero)) != top
    | join(zero,meet(top,top)) != join(zero,complement(zero))
    | join(zero,meet(top,top)) = top ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(zero,meet(top,top)))),bind(Y,$fot(join(zero,complement(zero)))),bind(Z,$fot(top))]]) ).

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

cnf(refute_0_752,plain,
    join(zero,meet(top,top)) = top,
    inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_745,refute_0_751]) ).

cnf(refute_0_753,plain,
    meet(top,join(zero,meet(top,top))) = meet(top,join(zero,meet(top,top))),
    introduced(tautology,[refl,[$fot(meet(top,join(zero,meet(top,top))))]]) ).

cnf(refute_0_754,plain,
    ( join(zero,meet(top,top)) != top
    | meet(top,join(zero,meet(top,top))) != meet(top,join(zero,meet(top,top)))
    | meet(top,join(zero,meet(top,top))) = meet(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,meet(top,top))),meet(top,join(zero,meet(top,top)))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_755,plain,
    ( join(zero,meet(top,top)) != top
    | meet(top,join(zero,meet(top,top))) = meet(top,top) ),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,top))),meet(top,join(zero,meet(top,top)))) )],[refute_0_753,refute_0_754]) ).

cnf(refute_0_756,plain,
    meet(top,join(zero,meet(top,top))) = meet(top,top),
    inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),top) )],[refute_0_752,refute_0_755]) ).

cnf(refute_0_757,plain,
    ( meet(top,join(zero,meet(top,top))) != meet(top,top)
    | meet(top,top) != complement(zero)
    | meet(top,join(zero,meet(top,top))) = complement(zero) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(top,join(zero,meet(top,top))))),bind(Y,$fot(meet(top,top))),bind(Z,$fot(complement(zero)))]]) ).

cnf(refute_0_758,plain,
    ( meet(top,top) != complement(zero)
    | meet(top,join(zero,meet(top,top))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,top))),meet(top,top)) )],[refute_0_756,refute_0_757]) ).

cnf(refute_0_759,plain,
    meet(top,join(zero,meet(top,top))) = complement(zero),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_0_744,refute_0_758]) ).

cnf(refute_0_760,plain,
    join(meet(top,join(zero,meet(top,top))),X_41) = join(meet(top,join(zero,meet(top,top))),X_41),
    introduced(tautology,[refl,[$fot(join(meet(top,join(zero,meet(top,top))),X_41))]]) ).

cnf(refute_0_761,plain,
    ( join(meet(top,join(zero,meet(top,top))),X_41) != join(meet(top,join(zero,meet(top,top))),X_41)
    | meet(top,join(zero,meet(top,top))) != complement(zero)
    | join(meet(top,join(zero,meet(top,top))),X_41) = join(complement(zero),X_41) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),X_41),join(meet(top,join(zero,meet(top,top))),X_41)) ),[1,0],$fot(complement(zero))]]) ).

cnf(refute_0_762,plain,
    ( meet(top,join(zero,meet(top,top))) != complement(zero)
    | join(meet(top,join(zero,meet(top,top))),X_41) = join(complement(zero),X_41) ),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),X_41),join(meet(top,join(zero,meet(top,top))),X_41)) )],[refute_0_760,refute_0_761]) ).

cnf(refute_0_763,plain,
    join(meet(top,join(zero,meet(top,top))),X_41) = join(complement(zero),X_41),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,top))),complement(zero)) )],[refute_0_759,refute_0_762]) ).

cnf(refute_0_764,plain,
    join(zero,join(meet(top,join(zero,meet(top,top))),X_41)) = join(zero,join(meet(top,join(zero,meet(top,top))),X_41)),
    introduced(tautology,[refl,[$fot(join(zero,join(meet(top,join(zero,meet(top,top))),X_41)))]]) ).

cnf(refute_0_765,plain,
    ( join(meet(top,join(zero,meet(top,top))),X_41) != join(complement(zero),X_41)
    | join(zero,join(meet(top,join(zero,meet(top,top))),X_41)) != join(zero,join(meet(top,join(zero,meet(top,top))),X_41))
    | join(zero,join(meet(top,join(zero,meet(top,top))),X_41)) = join(zero,join(complement(zero),X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,top))),X_41)),join(zero,join(meet(top,join(zero,meet(top,top))),X_41))) ),[1,1],$fot(join(complement(zero),X_41))]]) ).

cnf(refute_0_766,plain,
    ( join(meet(top,join(zero,meet(top,top))),X_41) != join(complement(zero),X_41)
    | join(zero,join(meet(top,join(zero,meet(top,top))),X_41)) = join(zero,join(complement(zero),X_41)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,top))),X_41)),join(zero,join(meet(top,join(zero,meet(top,top))),X_41))) )],[refute_0_764,refute_0_765]) ).

cnf(refute_0_767,plain,
    join(zero,join(meet(top,join(zero,meet(top,top))),X_41)) = join(zero,join(complement(zero),X_41)),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,meet(top,top))),X_41),join(complement(zero),X_41)) )],[refute_0_763,refute_0_766]) ).

cnf(refute_0_768,plain,
    zero = meet(top,complement(top)),
    inference(subst,[],[refute_0_150:[bind(X0,$fot(top))]]) ).

cnf(refute_0_769,plain,
    ( complement(top) != zero
    | zero != meet(top,complement(top))
    | zero = meet(top,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(top,complement(top))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_770,plain,
    ( zero != meet(top,complement(top))
    | zero = meet(top,zero) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_769]) ).

cnf(refute_0_771,plain,
    zero = meet(top,zero),
    inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_768,refute_0_770]) ).

cnf(refute_0_772,plain,
    ( zero != meet(top,zero)
    | meet(top,zero) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,zero)))]]) ).

cnf(refute_0_773,plain,
    meet(top,zero) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(top,zero)) )],[refute_0_771,refute_0_772]) ).

cnf(refute_0_774,plain,
    meet(top,join(zero,zero)) = meet(top,join(zero,zero)),
    introduced(tautology,[refl,[$fot(meet(top,join(zero,zero)))]]) ).

cnf(refute_0_775,plain,
    ( join(zero,zero) != zero
    | meet(top,join(zero,zero)) != meet(top,join(zero,zero))
    | meet(top,join(zero,zero)) = meet(top,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,join(zero,zero))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_776,plain,
    ( join(zero,zero) != zero
    | meet(top,join(zero,zero)) = meet(top,zero) ),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,join(zero,zero))) )],[refute_0_774,refute_0_775]) ).

cnf(refute_0_777,plain,
    meet(top,join(zero,zero)) = meet(top,zero),
    inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_310,refute_0_776]) ).

cnf(refute_0_778,plain,
    ( meet(top,join(zero,zero)) != meet(top,zero)
    | meet(top,zero) != zero
    | meet(top,join(zero,zero)) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(top,join(zero,zero)))),bind(Y,$fot(meet(top,zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_779,plain,
    ( meet(top,zero) != zero
    | meet(top,join(zero,zero)) = zero ),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,zero)) )],[refute_0_777,refute_0_778]) ).

cnf(refute_0_780,plain,
    meet(top,join(zero,zero)) = zero,
    inference(resolve,[$cnf( $equal(meet(top,zero),zero) )],[refute_0_773,refute_0_779]) ).

cnf(refute_0_781,plain,
    join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) = join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)),
    introduced(tautology,[refl,[$fot(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))]]) ).

cnf(refute_0_782,plain,
    ( join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) != join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))
    | meet(top,join(zero,zero)) != zero
    | join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) = join(zero,join(meet(top,join(zero,meet(top,top))),X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)),join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_783,plain,
    ( meet(top,join(zero,zero)) != zero
    | join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) = join(zero,join(meet(top,join(zero,meet(top,top))),X_41)) ),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)),join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) )],[refute_0_781,refute_0_782]) ).

cnf(refute_0_784,plain,
    join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) = join(zero,join(meet(top,join(zero,meet(top,top))),X_41)),
    inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),zero) )],[refute_0_780,refute_0_783]) ).

cnf(refute_0_785,plain,
    ( join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) != join(zero,join(meet(top,join(zero,meet(top,top))),X_41))
    | join(zero,join(meet(top,join(zero,meet(top,top))),X_41)) != join(zero,join(complement(zero),X_41))
    | join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) = join(zero,join(complement(zero),X_41)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))),bind(Y,$fot(join(zero,join(meet(top,join(zero,meet(top,top))),X_41)))),bind(Z,$fot(join(zero,join(complement(zero),X_41))))]]) ).

cnf(refute_0_786,plain,
    ( join(zero,join(meet(top,join(zero,meet(top,top))),X_41)) != join(zero,join(complement(zero),X_41))
    | join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) = join(zero,join(complement(zero),X_41)) ),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)),join(zero,join(meet(top,join(zero,meet(top,top))),X_41))) )],[refute_0_784,refute_0_785]) ).

cnf(refute_0_787,plain,
    join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) = join(zero,join(complement(zero),X_41)),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,meet(top,top))),X_41)),join(zero,join(complement(zero),X_41))) )],[refute_0_767,refute_0_786]) ).

cnf(refute_0_788,plain,
    ( join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) != join(zero,join(complement(zero),X_41))
    | join(zero,join(complement(zero),X_41)) != join(top,X_41)
    | join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) = join(top,X_41) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))),bind(Y,$fot(join(zero,join(complement(zero),X_41)))),bind(Z,$fot(join(top,X_41)))]]) ).

cnf(refute_0_789,plain,
    ( join(zero,join(complement(zero),X_41)) != join(top,X_41)
    | join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) = join(top,X_41) ),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)),join(zero,join(complement(zero),X_41))) )],[refute_0_787,refute_0_788]) ).

cnf(refute_0_790,plain,
    join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) = join(top,X_41),
    inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),X_41)),join(top,X_41)) )],[refute_0_732,refute_0_789]) ).

cnf(refute_0_791,plain,
    join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) = join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))),
    introduced(tautology,[refl,[$fot(join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))))]]) ).

cnf(refute_0_792,plain,
    ( join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) != join(top,X_41)
    | join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) != join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))
    | join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) = join(zero,join(top,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))),join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))) ),[1,1],$fot(join(top,X_41))]]) ).

cnf(refute_0_793,plain,
    ( join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)) != join(top,X_41)
    | join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) = join(zero,join(top,X_41)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))),join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))) )],[refute_0_791,refute_0_792]) ).

cnf(refute_0_794,plain,
    join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) = join(zero,join(top,X_41)),
    inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)),join(top,X_41)) )],[refute_0_790,refute_0_793]) ).

cnf(refute_0_795,plain,
    ( join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) != join(zero,join(top,X_41))
    | join(zero,join(top,X_41)) != join(top,X_41)
    | join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) = join(top,X_41) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))))),bind(Y,$fot(join(zero,join(top,X_41)))),bind(Z,$fot(join(top,X_41)))]]) ).

cnf(refute_0_796,plain,
    ( join(zero,join(top,X_41)) != join(top,X_41)
    | join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) = join(top,X_41) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))),join(zero,join(top,X_41))) )],[refute_0_794,refute_0_795]) ).

cnf(refute_0_797,plain,
    join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) = join(top,X_41),
    inference(resolve,[$cnf( $equal(join(zero,join(top,X_41)),join(top,X_41)) )],[refute_0_647,refute_0_796]) ).

cnf(refute_0_798,plain,
    ( join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))) != join(top,X_41)
    | top != join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))
    | top = join(top,X_41) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))) ),[1],$fot(join(top,X_41))]]) ).

cnf(refute_0_799,plain,
    ( top != join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))
    | top = join(top,X_41) ),
    inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41))),join(top,X_41)) )],[refute_0_797,refute_0_798]) ).

cnf(refute_0_800,plain,
    ( join(X_41,top) != join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))
    | top = join(top,X_41) ),
    inference(resolve,[$cnf( $equal(top,join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))) )],[refute_0_731,refute_0_799]) ).

cnf(refute_0_801,plain,
    top = join(top,X_41),
    inference(resolve,[$cnf( $equal(join(X_41,top),join(zero,join(meet(top,join(zero,zero)),join(meet(top,join(zero,meet(top,top))),X_41)))) )],[refute_0_728,refute_0_800]) ).

cnf(refute_0_802,plain,
    ( top != join(top,X_41)
    | join(top,X_41) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_41)))]]) ).

cnf(refute_0_803,plain,
    join(top,X_41) = top,
    inference(resolve,[$cnf( $equal(top,join(top,X_41)) )],[refute_0_801,refute_0_802]) ).

cnf(refute_0_804,plain,
    join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) = top,
    inference(subst,[],[refute_0_803:[bind(X_41,$fot(converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))]]) ).

cnf(refute_0_805,plain,
    ( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top))))))
    | join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) != top
    | converse(top) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))]]) ).

cnf(refute_0_806,plain,
    ( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top))))))
    | converse(top) = top ),
    inference(resolve,[$cnf( $equal(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top) )],[refute_0_804,refute_0_805]) ).

cnf(refute_0_807,plain,
    converse(top) = top,
    inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top))))))) )],[refute_0_670,refute_0_806]) ).

cnf(refute_0_808,plain,
    ( converse(top) != join(X_11,converse(complement(converse(X_11))))
    | converse(top) != top
    | top = join(X_11,converse(complement(converse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_11,converse(complement(converse(X_11))))) ),[0],$fot(top)]]) ).

cnf(refute_0_809,plain,
    ( converse(top) != join(X_11,converse(complement(converse(X_11))))
    | top = join(X_11,converse(complement(converse(X_11)))) ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_808]) ).

cnf(refute_0_810,plain,
    top = join(X_11,converse(complement(converse(X_11)))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_11,converse(complement(converse(X_11))))) )],[refute_0_496,refute_0_809]) ).

cnf(refute_0_811,plain,
    top = join(complement(X_85),converse(complement(converse(complement(X_85))))),
    inference(subst,[],[refute_0_810:[bind(X_11,$fot(complement(X_85)))]]) ).

cnf(refute_0_812,plain,
    ( top != join(complement(X_85),converse(complement(converse(complement(X_85)))))
    | join(complement(X_85),converse(complement(converse(complement(X_85))))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_85),converse(complement(converse(complement(X_85)))))))]]) ).

cnf(refute_0_813,plain,
    join(complement(X_85),converse(complement(converse(complement(X_85))))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(X_85),converse(complement(converse(complement(X_85)))))) )],[refute_0_811,refute_0_812]) ).

cnf(refute_0_814,plain,
    ( X_85 != join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(join(complement(X_85),converse(complement(converse(complement(X_85)))))))
    | join(complement(X_85),converse(complement(converse(complement(X_85))))) != top
    | X_85 = join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_85,join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(join(complement(X_85),converse(complement(converse(complement(X_85)))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_815,plain,
    ( X_85 != join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(join(complement(X_85),converse(complement(converse(complement(X_85)))))))
    | X_85 = join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_85),converse(complement(converse(complement(X_85))))),top) )],[refute_0_813,refute_0_814]) ).

cnf(refute_0_816,plain,
    X_85 = join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)),
    inference(resolve,[$cnf( $equal(X_85,join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(join(complement(X_85),converse(complement(converse(complement(X_85)))))))) )],[refute_0_485,refute_0_815]) ).

cnf(refute_0_817,plain,
    join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))) = join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))))]]) ).

cnf(refute_0_818,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))) != join(complement(top),meet(X_85,converse(complement(converse(complement(X_85))))))
    | join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))) = join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))),join(complement(top),meet(X_85,converse(complement(converse(complement(X_85))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_819,plain,
    ( complement(top) != zero
    | join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))) = join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))),join(complement(top),meet(X_85,converse(complement(converse(complement(X_85))))))) )],[refute_0_817,refute_0_818]) ).

cnf(refute_0_820,plain,
    join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))) = join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_819]) ).

cnf(refute_0_821,plain,
    join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)) = join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_85,converse(complement(converse(complement(X_85)))))))]]) ).

cnf(refute_0_822,plain,
    ( join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))) != join(zero,meet(X_85,converse(complement(converse(complement(X_85))))))
    | join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)) != join(complement(top),meet(X_85,converse(complement(converse(complement(X_85))))))
    | join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)) = join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))))),bind(Z,$fot(join(zero,meet(X_85,converse(complement(converse(complement(X_85))))))))]]) ).

cnf(refute_0_823,plain,
    ( join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))) != join(zero,meet(X_85,converse(complement(converse(complement(X_85))))))
    | join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)) = join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)),join(complement(top),meet(X_85,converse(complement(converse(complement(X_85))))))) )],[refute_0_821,refute_0_822]) ).

cnf(refute_0_824,plain,
    join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)) = join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(X_85,converse(complement(converse(complement(X_85)))))),join(zero,meet(X_85,converse(complement(converse(complement(X_85))))))) )],[refute_0_820,refute_0_823]) ).

cnf(refute_0_825,plain,
    ( X_85 != join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top))
    | join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)) != join(zero,meet(X_85,converse(complement(converse(complement(X_85))))))
    | X_85 = join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_85,join(zero,meet(X_85,converse(complement(converse(complement(X_85))))))) ),[0],$fot(join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)))]]) ).

cnf(refute_0_826,plain,
    ( X_85 != join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top))
    | X_85 = join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top)),join(zero,meet(X_85,converse(complement(converse(complement(X_85))))))) )],[refute_0_824,refute_0_825]) ).

cnf(refute_0_827,plain,
    X_85 = join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))),
    inference(resolve,[$cnf( $equal(X_85,join(meet(X_85,converse(complement(converse(complement(X_85))))),complement(top))) )],[refute_0_816,refute_0_826]) ).

cnf(refute_0_828,plain,
    join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))) = meet(X_85,converse(complement(converse(complement(X_85))))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(meet(X_85,converse(complement(converse(complement(X_85)))))))]]) ).

cnf(refute_0_829,plain,
    ( X_85 != join(zero,meet(X_85,converse(complement(converse(complement(X_85))))))
    | join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))) != meet(X_85,converse(complement(converse(complement(X_85)))))
    | X_85 = meet(X_85,converse(complement(converse(complement(X_85))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_85,meet(X_85,converse(complement(converse(complement(X_85)))))) ),[0],$fot(join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))))]]) ).

cnf(refute_0_830,plain,
    ( X_85 != join(zero,meet(X_85,converse(complement(converse(complement(X_85))))))
    | X_85 = meet(X_85,converse(complement(converse(complement(X_85))))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_85,converse(complement(converse(complement(X_85)))))),meet(X_85,converse(complement(converse(complement(X_85)))))) )],[refute_0_828,refute_0_829]) ).

cnf(refute_0_831,plain,
    X_85 = meet(X_85,converse(complement(converse(complement(X_85))))),
    inference(resolve,[$cnf( $equal(X_85,join(zero,meet(X_85,converse(complement(converse(complement(X_85))))))) )],[refute_0_827,refute_0_830]) ).

cnf(refute_0_832,plain,
    X_100 = meet(X_100,converse(complement(converse(complement(X_100))))),
    inference(subst,[],[refute_0_831:[bind(X_85,$fot(X_100))]]) ).

cnf(refute_0_833,plain,
    ( X_100 != meet(X_100,converse(complement(converse(complement(X_100)))))
    | meet(X_100,converse(complement(converse(complement(X_100))))) = X_100 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_100)),bind(Y,$fot(meet(X_100,converse(complement(converse(complement(X_100)))))))]]) ).

cnf(refute_0_834,plain,
    meet(X_100,converse(complement(converse(complement(X_100))))) = X_100,
    inference(resolve,[$cnf( $equal(X_100,meet(X_100,converse(complement(converse(complement(X_100)))))) )],[refute_0_832,refute_0_833]) ).

cnf(refute_0_835,plain,
    ( converse(complement(converse(complement(X_100)))) != join(meet(X_100,converse(complement(converse(complement(X_100))))),meet(converse(complement(converse(complement(X_100)))),complement(X_100)))
    | meet(X_100,converse(complement(converse(complement(X_100))))) != X_100
    | converse(complement(converse(complement(X_100)))) = join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(X_100)))),join(meet(X_100,converse(complement(converse(complement(X_100))))),meet(converse(complement(converse(complement(X_100)))),complement(X_100)))) ),[1,0],$fot(X_100)]]) ).

cnf(refute_0_836,plain,
    ( converse(complement(converse(complement(X_100)))) != join(meet(X_100,converse(complement(converse(complement(X_100))))),meet(converse(complement(converse(complement(X_100)))),complement(X_100)))
    | converse(complement(converse(complement(X_100)))) = join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))) ),
    inference(resolve,[$cnf( $equal(meet(X_100,converse(complement(converse(complement(X_100))))),X_100) )],[refute_0_834,refute_0_835]) ).

cnf(refute_0_837,plain,
    converse(complement(converse(complement(X_100)))) = join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_100)))),join(meet(X_100,converse(complement(converse(complement(X_100))))),meet(converse(complement(converse(complement(X_100)))),complement(X_100)))) )],[refute_0_484,refute_0_836]) ).

cnf(refute_0_838,plain,
    ( meet(X_19,X_20) != meet(X_20,X_19)
    | meet(X_20,X_19) = meet(X_19,X_20) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_19,X_20))),bind(Y,$fot(meet(X_20,X_19)))]]) ).

cnf(refute_0_839,plain,
    meet(X_20,X_19) = meet(X_19,X_20),
    inference(resolve,[$cnf( $equal(meet(X_19,X_20),meet(X_20,X_19)) )],[refute_0_285,refute_0_838]) ).

cnf(refute_0_840,plain,
    meet(converse(complement(converse(complement(X_100)))),complement(X_100)) = meet(complement(X_100),converse(complement(converse(complement(X_100))))),
    inference(subst,[],[refute_0_839:[bind(X_19,$fot(complement(X_100))),bind(X_20,$fot(converse(complement(converse(complement(X_100))))))]]) ).

cnf(refute_0_841,plain,
    join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))) = join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))),
    introduced(tautology,[refl,[$fot(join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))))]]) ).

cnf(refute_0_842,plain,
    ( join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))) != join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100)))
    | meet(converse(complement(converse(complement(X_100)))),complement(X_100)) != meet(complement(X_100),converse(complement(converse(complement(X_100)))))
    | join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))) = join(X_100,meet(complement(X_100),converse(complement(converse(complement(X_100)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))),join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100)))) ),[1,1],$fot(meet(complement(X_100),converse(complement(converse(complement(X_100))))))]]) ).

cnf(refute_0_843,plain,
    ( meet(converse(complement(converse(complement(X_100)))),complement(X_100)) != meet(complement(X_100),converse(complement(converse(complement(X_100)))))
    | join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))) = join(X_100,meet(complement(X_100),converse(complement(converse(complement(X_100)))))) ),
    inference(resolve,[$cnf( $equal(join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))),join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100)))) )],[refute_0_841,refute_0_842]) ).

cnf(refute_0_844,plain,
    join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))) = join(X_100,meet(complement(X_100),converse(complement(converse(complement(X_100)))))),
    inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(X_100)))),complement(X_100)),meet(complement(X_100),converse(complement(converse(complement(X_100)))))) )],[refute_0_840,refute_0_843]) ).

cnf(refute_0_845,plain,
    ( converse(complement(converse(complement(X_100)))) != join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100)))
    | join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))) != join(X_100,meet(complement(X_100),converse(complement(converse(complement(X_100))))))
    | converse(complement(converse(complement(X_100)))) = join(X_100,meet(complement(X_100),converse(complement(converse(complement(X_100)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(X_100)))),join(X_100,meet(complement(X_100),converse(complement(converse(complement(X_100))))))) ),[0],$fot(join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))))]]) ).

cnf(refute_0_846,plain,
    ( converse(complement(converse(complement(X_100)))) != join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100)))
    | converse(complement(converse(complement(X_100)))) = join(X_100,meet(complement(X_100),converse(complement(converse(complement(X_100)))))) ),
    inference(resolve,[$cnf( $equal(join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100))),join(X_100,meet(complement(X_100),converse(complement(converse(complement(X_100))))))) )],[refute_0_844,refute_0_845]) ).

cnf(refute_0_847,plain,
    converse(complement(converse(complement(X_100)))) = join(X_100,meet(complement(X_100),converse(complement(converse(complement(X_100)))))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_100)))),join(X_100,meet(converse(complement(converse(complement(X_100)))),complement(X_100)))) )],[refute_0_837,refute_0_846]) ).

cnf(refute_0_848,plain,
    converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))),
    inference(subst,[],[refute_0_847:[bind(X_100,$fot(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_849,plain,
    converse(join(X0,join(X_10,converse(X_9)))) = join(converse(X0),converse(join(X_10,converse(X_9)))),
    inference(subst,[],[refute_0_44:[bind(X1,$fot(join(X_10,converse(X_9))))]]) ).

cnf(refute_0_850,plain,
    converse(join(X_10,converse(X_9))) = join(converse(X_10),X_9),
    inference(subst,[],[refute_0_501:[bind(X0,$fot(X_9)),bind(X_5,$fot(X_10))]]) ).

cnf(refute_0_851,plain,
    ( converse(join(X0,join(X_10,converse(X_9)))) != join(converse(X0),converse(join(X_10,converse(X_9))))
    | converse(join(X_10,converse(X_9))) != join(converse(X_10),X_9)
    | converse(join(X0,join(X_10,converse(X_9)))) = join(converse(X0),join(converse(X_10),X_9)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_10,converse(X_9)))),join(converse(X0),converse(join(X_10,converse(X_9))))) ),[1,1],$fot(join(converse(X_10),X_9))]]) ).

cnf(refute_0_852,plain,
    ( converse(join(X0,join(X_10,converse(X_9)))) != join(converse(X0),converse(join(X_10,converse(X_9))))
    | converse(join(X0,join(X_10,converse(X_9)))) = join(converse(X0),join(converse(X_10),X_9)) ),
    inference(resolve,[$cnf( $equal(converse(join(X_10,converse(X_9))),join(converse(X_10),X_9)) )],[refute_0_850,refute_0_851]) ).

cnf(refute_0_853,plain,
    converse(join(X0,join(X_10,converse(X_9)))) = join(converse(X0),join(converse(X_10),X_9)),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_10,converse(X_9)))),join(converse(X0),converse(join(X_10,converse(X_9))))) )],[refute_0_849,refute_0_852]) ).

cnf(refute_0_854,plain,
    converse(join(join(X_41,X_42),converse(X0))) = join(converse(join(X_41,X_42)),X0),
    inference(subst,[],[refute_0_501:[bind(X_5,$fot(join(X_41,X_42)))]]) ).

cnf(refute_0_855,plain,
    join(X_41,join(X_42,converse(X0))) = join(join(X_41,X_42),converse(X0)),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(X_41)),bind(X1,$fot(X_42)),bind(X2,$fot(converse(X0)))]]) ).

cnf(refute_0_856,plain,
    ( join(X_41,join(X_42,converse(X0))) != join(join(X_41,X_42),converse(X0))
    | join(join(X_41,X_42),converse(X0)) = join(X_41,join(X_42,converse(X0))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_41,join(X_42,converse(X0))))),bind(Y,$fot(join(join(X_41,X_42),converse(X0))))]]) ).

cnf(refute_0_857,plain,
    join(join(X_41,X_42),converse(X0)) = join(X_41,join(X_42,converse(X0))),
    inference(resolve,[$cnf( $equal(join(X_41,join(X_42,converse(X0))),join(join(X_41,X_42),converse(X0))) )],[refute_0_855,refute_0_856]) ).

cnf(refute_0_858,plain,
    ( converse(join(join(X_41,X_42),converse(X0))) != join(converse(join(X_41,X_42)),X0)
    | join(join(X_41,X_42),converse(X0)) != join(X_41,join(X_42,converse(X0)))
    | converse(join(X_41,join(X_42,converse(X0)))) = join(converse(join(X_41,X_42)),X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_41,X_42),converse(X0))),join(converse(join(X_41,X_42)),X0)) ),[0,0],$fot(join(X_41,join(X_42,converse(X0))))]]) ).

cnf(refute_0_859,plain,
    ( converse(join(join(X_41,X_42),converse(X0))) != join(converse(join(X_41,X_42)),X0)
    | converse(join(X_41,join(X_42,converse(X0)))) = join(converse(join(X_41,X_42)),X0) ),
    inference(resolve,[$cnf( $equal(join(join(X_41,X_42),converse(X0)),join(X_41,join(X_42,converse(X0)))) )],[refute_0_857,refute_0_858]) ).

cnf(refute_0_860,plain,
    converse(join(X_41,join(X_42,converse(X0)))) = join(converse(join(X_41,X_42)),X0),
    inference(resolve,[$cnf( $equal(converse(join(join(X_41,X_42),converse(X0))),join(converse(join(X_41,X_42)),X0)) )],[refute_0_854,refute_0_859]) ).

cnf(refute_0_861,plain,
    converse(join(X0,join(X_10,converse(X_9)))) = join(converse(join(X0,X_10)),X_9),
    inference(subst,[],[refute_0_860:[bind(X0,$fot(X_9)),bind(X_41,$fot(X0)),bind(X_42,$fot(X_10))]]) ).

cnf(refute_0_862,plain,
    ( converse(join(X0,join(X_10,converse(X_9)))) != join(converse(X0),join(converse(X_10),X_9))
    | converse(join(X0,join(X_10,converse(X_9)))) != join(converse(join(X0,X_10)),X_9)
    | join(converse(join(X0,X_10)),X_9) = join(converse(X0),join(converse(X_10),X_9)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_10,converse(X_9)))),join(converse(X0),join(converse(X_10),X_9))) ),[0],$fot(join(converse(join(X0,X_10)),X_9))]]) ).

cnf(refute_0_863,plain,
    ( converse(join(X0,join(X_10,converse(X_9)))) != join(converse(X0),join(converse(X_10),X_9))
    | join(converse(join(X0,X_10)),X_9) = join(converse(X0),join(converse(X_10),X_9)) ),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_10,converse(X_9)))),join(converse(join(X0,X_10)),X_9)) )],[refute_0_861,refute_0_862]) ).

cnf(refute_0_864,plain,
    join(converse(join(X0,X_10)),X_9) = join(converse(X0),join(converse(X_10),X_9)),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_10,converse(X_9)))),join(converse(X0),join(converse(X_10),X_9))) )],[refute_0_853,refute_0_863]) ).

cnf(refute_0_865,plain,
    join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = join(converse(X_123),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))),
    inference(subst,[],[refute_0_864:[bind(X0,$fot(X_123)),bind(X_10,$fot(complement(skolemFOFtoCNF_X0))),bind(X_9,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_866,plain,
    converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) = converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))),
    inference(subst,[],[refute_0_54:[bind(X0,$fot(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_867,plain,
    join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) = join(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),X2),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).

cnf(refute_0_868,plain,
    meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) = complement(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))),
    inference(subst,[],[refute_0_183:[bind(X1,$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_869,plain,
    skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(subst,[],[refute_0_201:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).

cnf(refute_0_870,plain,
    meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) = zero,
    inference(canonicalize,[],[normalize_0_27]) ).

cnf(refute_0_871,plain,
    meet(composition(skolemFOFtoCNF_X0,one),composition(skolemFOFtoCNF_X0,complement(one))) = zero,
    inference(subst,[],[refute_0_870:[bind(X1,$fot(one))]]) ).

cnf(refute_0_872,plain,
    composition(skolemFOFtoCNF_X0,one) = skolemFOFtoCNF_X0,
    inference(subst,[],[refute_0_34:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_873,plain,
    ( composition(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
    | meet(composition(skolemFOFtoCNF_X0,one),composition(skolemFOFtoCNF_X0,complement(one))) != zero
    | meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,one),composition(skolemFOFtoCNF_X0,complement(one))),zero) ),[0,0],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_874,plain,
    ( meet(composition(skolemFOFtoCNF_X0,one),composition(skolemFOFtoCNF_X0,complement(one))) != zero
    | meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = zero ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,one),skolemFOFtoCNF_X0) )],[refute_0_872,refute_0_873]) ).

cnf(refute_0_875,plain,
    meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = zero,
    inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,one),composition(skolemFOFtoCNF_X0,complement(one))),zero) )],[refute_0_871,refute_0_874]) ).

cnf(refute_0_876,plain,
    ( meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != zero
    | skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))
    | skolemFOFtoCNF_X0 = join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_877,plain,
    ( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))
    | skolemFOFtoCNF_X0 = join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),zero) )],[refute_0_875,refute_0_876]) ).

cnf(refute_0_878,plain,
    skolemFOFtoCNF_X0 = join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_869,refute_0_877]) ).

cnf(refute_0_879,plain,
    ( skolemFOFtoCNF_X0 != join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))) = skolemFOFtoCNF_X0 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_880,plain,
    join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))) = skolemFOFtoCNF_X0,
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_878,refute_0_879]) ).

cnf(refute_0_881,plain,
    ( join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))) != skolemFOFtoCNF_X0
    | meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) != complement(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))))
    | meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) = complement(skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))),complement(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_882,plain,
    ( meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) != complement(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))))
    | meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) = complement(skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))),skolemFOFtoCNF_X0) )],[refute_0_880,refute_0_881]) ).

cnf(refute_0_883,plain,
    meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) = complement(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))),complement(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_868,refute_0_882]) ).

cnf(refute_0_884,plain,
    meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),
    inference(subst,[],[refute_0_328:[bind(X_87,$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_885,plain,
    ( meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) != complement(skolemFOFtoCNF_X0)
    | meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) != join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))
    | join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) = complement(skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))),complement(skolemFOFtoCNF_X0)) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))]]) ).

cnf(refute_0_886,plain,
    ( meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) != complement(skolemFOFtoCNF_X0)
    | join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) = complement(skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))),join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_884,refute_0_885]) ).

cnf(refute_0_887,plain,
    join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) = complement(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_883,refute_0_886]) ).

cnf(refute_0_888,plain,
    ( join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) != complement(skolemFOFtoCNF_X0)
    | join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) != join(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),X2)
    | join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) = join(complement(skolemFOFtoCNF_X0),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)),join(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),X2)) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_889,plain,
    ( join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) != join(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),X2)
    | join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) = join(complement(skolemFOFtoCNF_X0),X2) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)) )],[refute_0_887,refute_0_888]) ).

cnf(refute_0_890,plain,
    join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) = join(complement(skolemFOFtoCNF_X0),X2),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)),join(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),X2)) )],[refute_0_867,refute_0_889]) ).

cnf(refute_0_891,plain,
    join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))),
    inference(subst,[],[refute_0_890:[bind(X2,$fot(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_892,plain,
    top = join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))),
    inference(subst,[],[refute_0_810:[bind(X_11,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).

cnf(refute_0_893,plain,
    ( top != join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))))]]) ).

cnf(refute_0_894,plain,
    join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = top,
    inference(resolve,[$cnf( $equal(top,join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_892,refute_0_893]) ).

cnf(refute_0_895,plain,
    ( join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) != top
    | join(complement(skolemFOFtoCNF_X0),top) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) ),[0,1],$fot(top)]]) ).

cnf(refute_0_896,plain,
    ( join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(complement(skolemFOFtoCNF_X0),top) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))),top) )],[refute_0_894,refute_0_895]) ).

cnf(refute_0_897,plain,
    join(complement(skolemFOFtoCNF_X0),top) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_891,refute_0_896]) ).

cnf(refute_0_898,plain,
    join(complement(skolemFOFtoCNF_X0),top) = top,
    inference(subst,[],[refute_0_259:[bind(X_51,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_899,plain,
    ( join(complement(skolemFOFtoCNF_X0),top) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(complement(skolemFOFtoCNF_X0),top) != top
    | top = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) ),[0],$fot(top)]]) ).

cnf(refute_0_900,plain,
    ( join(complement(skolemFOFtoCNF_X0),top) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | top = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),top),top) )],[refute_0_898,refute_0_899]) ).

cnf(refute_0_901,plain,
    top = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_897,refute_0_900]) ).

cnf(refute_0_902,plain,
    ( top != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))))]]) ).

cnf(refute_0_903,plain,
    join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = top,
    inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_901,refute_0_902]) ).

cnf(refute_0_904,plain,
    ( converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))))
    | join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) != top
    | converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_905,plain,
    ( converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))))
    | converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) = converse(top) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))),top) )],[refute_0_903,refute_0_904]) ).

cnf(refute_0_906,plain,
    converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) = converse(top),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_866,refute_0_905]) ).

cnf(refute_0_907,plain,
    converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(subst,[],[refute_0_501:[bind(X0,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))),bind(X_5,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_908,plain,
    ( converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))))
    | converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))))),bind(Z,$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_909,plain,
    ( converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_866,refute_0_908]) ).

cnf(refute_0_910,plain,
    converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_907,refute_0_909]) ).

cnf(refute_0_911,plain,
    ( converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) != converse(top)
    | converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))),converse(top)) ),[0],$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_912,plain,
    ( converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) != converse(top)
    | join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_910,refute_0_911]) ).

cnf(refute_0_913,plain,
    ( converse(top) != top
    | join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != converse(top)
    | join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(top)) ),[1],$fot(top)]]) ).

cnf(refute_0_914,plain,
    ( join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != converse(top)
    | join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_913]) ).

cnf(refute_0_915,plain,
    ( converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))) != converse(top)
    | join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(top)) )],[refute_0_912,refute_0_914]) ).

cnf(refute_0_916,plain,
    join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top,
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(skolemFOFtoCNF_X0))),converse(top)) )],[refute_0_906,refute_0_915]) ).

cnf(refute_0_917,plain,
    ( join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != top
    | join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != join(converse(X_123),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = join(converse(X_123),top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),join(converse(X_123),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_918,plain,
    ( join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != join(converse(X_123),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = join(converse(X_123),top) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),top) )],[refute_0_916,refute_0_917]) ).

cnf(refute_0_919,plain,
    join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = join(converse(X_123),top),
    inference(resolve,[$cnf( $equal(join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),join(converse(X_123),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_865,refute_0_918]) ).

cnf(refute_0_920,plain,
    join(converse(X_123),top) = top,
    inference(subst,[],[refute_0_259:[bind(X_51,$fot(converse(X_123)))]]) ).

cnf(refute_0_921,plain,
    ( join(converse(X_123),top) != top
    | join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != join(converse(X_123),top)
    | join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),join(converse(X_123),top)) ),[1],$fot(top)]]) ).

cnf(refute_0_922,plain,
    ( join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != join(converse(X_123),top)
    | join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(X_123),top),top) )],[refute_0_920,refute_0_921]) ).

cnf(refute_0_923,plain,
    join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top,
    inference(resolve,[$cnf( $equal(join(converse(join(X_123,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),join(converse(X_123),top)) )],[refute_0_919,refute_0_922]) ).

cnf(refute_0_924,plain,
    join(converse(join(X_131,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top,
    inference(subst,[],[refute_0_923:[bind(X_123,$fot(X_131))]]) ).

cnf(refute_0_925,plain,
    join(complement(skolemFOFtoCNF_X0),X_131) = join(X_131,complement(skolemFOFtoCNF_X0)),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(X_131))]]) ).

cnf(refute_0_926,plain,
    ( join(complement(skolemFOFtoCNF_X0),X_131) != join(X_131,complement(skolemFOFtoCNF_X0))
    | join(X_131,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),X_131) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0),X_131))),bind(Y,$fot(join(X_131,complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_927,plain,
    join(X_131,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),X_131),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),X_131),join(X_131,complement(skolemFOFtoCNF_X0))) )],[refute_0_925,refute_0_926]) ).

cnf(refute_0_928,plain,
    ( join(X_131,complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),X_131)
    | join(converse(join(X_131,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != top
    | join(converse(join(complement(skolemFOFtoCNF_X0),X_131)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_131,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),top) ),[0,0,0],$fot(join(complement(skolemFOFtoCNF_X0),X_131))]]) ).

cnf(refute_0_929,plain,
    ( join(converse(join(X_131,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != top
    | join(converse(join(complement(skolemFOFtoCNF_X0),X_131)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    inference(resolve,[$cnf( $equal(join(X_131,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),X_131)) )],[refute_0_927,refute_0_928]) ).

cnf(refute_0_930,plain,
    join(converse(join(complement(skolemFOFtoCNF_X0),X_131)),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top,
    inference(resolve,[$cnf( $equal(join(converse(join(X_131,complement(skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),top) )],[refute_0_924,refute_0_929]) ).

cnf(refute_0_931,plain,
    join(converse(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top,
    inference(subst,[],[refute_0_930:[bind(X_131,$fot(meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))))]]) ).

cnf(refute_0_932,plain,
    converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))),
    inference(subst,[],[refute_0_847:[bind(X_100,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_933,plain,
    ( converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))) != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))
    | join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) = converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))))]]) ).

cnf(refute_0_934,plain,
    join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) = converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))),join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_932,refute_0_933]) ).

cnf(refute_0_935,plain,
    ( join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) != converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))
    | join(converse(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != top
    | join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),top) ),[0,0,0],$fot(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_936,plain,
    ( join(converse(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != top
    | join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_934,refute_0_935]) ).

cnf(refute_0_937,plain,
    join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top,
    inference(resolve,[$cnf( $equal(join(converse(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),top) )],[refute_0_931,refute_0_936]) ).

cnf(refute_0_938,plain,
    meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0)) = meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(subst,[],[refute_0_839:[bind(X_19,$fot(converse(skolemFOFtoCNF_X0))),bind(X_20,$fot(converse(composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_939,plain,
    complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))) = complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))),
    introduced(tautology,[refl,[$fot(complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_940,plain,
    ( complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))) != complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0)))
    | meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0)) != meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))),complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_941,plain,
    ( meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0)) != meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(resolve,[$cnf( $equal(complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))),complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0)))) )],[refute_0_939,refute_0_940]) ).

cnf(refute_0_942,plain,
    complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0)),meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_938,refute_0_941]) ).

cnf(refute_0_943,plain,
    join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_86),complement(join(complement(join(complement(X0),complement(X1))),X_86))),
    inference(subst,[],[refute_0_201:[bind(X0,$fot(join(complement(X0),complement(X1)))),bind(X1,$fot(X_86))]]) ).

cnf(refute_0_944,plain,
    ( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
    | join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_86),complement(join(complement(join(complement(X0),complement(X1))),X_86)))
    | join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_86),complement(join(complement(join(complement(X0),complement(X1))),X_86)))) ),[1,1,0,0],$fot(meet(X0,X1))]]) ).

cnf(refute_0_945,plain,
    ( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_86),complement(join(complement(join(complement(X0),complement(X1))),X_86)))
    | join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_191,refute_0_944]) ).

cnf(refute_0_946,plain,
    join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))),
    inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_86),complement(join(complement(join(complement(X0),complement(X1))),X_86)))) )],[refute_0_943,refute_0_945]) ).

cnf(refute_0_947,plain,
    meet(join(complement(X0),complement(X1)),X_86) = complement(join(meet(X0,X1),complement(X_86))),
    inference(subst,[],[refute_0_169:[bind(X1,$fot(X_86)),bind(X_19,$fot(X0)),bind(X_20,$fot(X1))]]) ).

cnf(refute_0_948,plain,
    join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)) = join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)),
    introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)))]]) ).

cnf(refute_0_949,plain,
    ( join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)) != join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86))
    | meet(join(complement(X0),complement(X1)),X_86) != complement(join(meet(X0,X1),complement(X_86)))
    | join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)) = join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)),join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(X_86))))]]) ).

cnf(refute_0_950,plain,
    ( meet(join(complement(X0),complement(X1)),X_86) != complement(join(meet(X0,X1),complement(X_86)))
    | join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)) = join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)),join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86))) )],[refute_0_948,refute_0_949]) ).

cnf(refute_0_951,plain,
    join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)) = join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))),
    inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),complement(X_86)))) )],[refute_0_947,refute_0_950]) ).

cnf(refute_0_952,plain,
    join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))) = join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(meet(X0,X1),X_86)))),bind(X1,$fot(meet(join(complement(X0),complement(X1)),X_86)))]]) ).

cnf(refute_0_953,plain,
    ( join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)) != join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))
    | join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))) != join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86))
    | join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))) = join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))))),bind(Y,$fot(join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)))),bind(Z,$fot(join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))))]]) ).

cnf(refute_0_954,plain,
    ( join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)) != join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))
    | join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))) = join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) ),
    inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))),join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86))) )],[refute_0_952,refute_0_953]) ).

cnf(refute_0_955,plain,
    join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))) = join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))),
    inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_86)),meet(join(complement(X0),complement(X1)),X_86)),join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))) )],[refute_0_951,refute_0_954]) ).

cnf(refute_0_956,plain,
    ( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86)))
    | join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))) != join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))
    | join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))) ),[0],$fot(join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))))]]) ).

cnf(refute_0_957,plain,
    ( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86)))
    | join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) ),
    inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86))),join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))) )],[refute_0_955,refute_0_956]) ).

cnf(refute_0_958,plain,
    join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))),
    inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_86),complement(join(meet(X0,X1),X_86)))) )],[refute_0_946,refute_0_957]) ).

cnf(refute_0_959,plain,
    meet(join(zero,complement(X_32)),X1) = complement(join(complement(join(zero,complement(X_32))),complement(X1))),
    inference(subst,[],[refute_0_148:[bind(X0,$fot(join(zero,complement(X_32))))]]) ).

cnf(refute_0_960,plain,
    ( complement(join(zero,complement(X_32))) != meet(top,X_32)
    | meet(join(zero,complement(X_32)),X1) != complement(join(complement(join(zero,complement(X_32))),complement(X1)))
    | meet(join(zero,complement(X_32)),X1) = complement(join(meet(top,X_32),complement(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),complement(join(complement(join(zero,complement(X_32))),complement(X1)))) ),[1,0,0],$fot(meet(top,X_32))]]) ).

cnf(refute_0_961,plain,
    ( meet(join(zero,complement(X_32)),X1) != complement(join(complement(join(zero,complement(X_32))),complement(X1)))
    | meet(join(zero,complement(X_32)),X1) = complement(join(meet(top,X_32),complement(X1))) ),
    inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_32))),meet(top,X_32)) )],[refute_0_442,refute_0_960]) ).

cnf(refute_0_962,plain,
    meet(join(zero,complement(X_32)),X1) = complement(join(meet(top,X_32),complement(X1))),
    inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),complement(join(complement(join(zero,complement(X_32))),complement(X1)))) )],[refute_0_959,refute_0_961]) ).

cnf(refute_0_963,plain,
    meet(join(zero,complement(X_32)),X1) = meet(join(zero,complement(X_32)),X1),
    introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_32)),X1))]]) ).

cnf(refute_0_964,plain,
    ( join(zero,complement(X_32)) != complement(X_32)
    | meet(join(zero,complement(X_32)),X1) != meet(join(zero,complement(X_32)),X1)
    | meet(join(zero,complement(X_32)),X1) = meet(complement(X_32),X1) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),meet(join(zero,complement(X_32)),X1)) ),[1,0],$fot(complement(X_32))]]) ).

cnf(refute_0_965,plain,
    ( join(zero,complement(X_32)) != complement(X_32)
    | meet(join(zero,complement(X_32)),X1) = meet(complement(X_32),X1) ),
    inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),meet(join(zero,complement(X_32)),X1)) )],[refute_0_963,refute_0_964]) ).

cnf(refute_0_966,plain,
    meet(join(zero,complement(X_32)),X1) = meet(complement(X_32),X1),
    inference(resolve,[$cnf( $equal(join(zero,complement(X_32)),complement(X_32)) )],[refute_0_446,refute_0_965]) ).

cnf(refute_0_967,plain,
    ( meet(join(zero,complement(X_32)),X1) != complement(join(meet(top,X_32),complement(X1)))
    | meet(join(zero,complement(X_32)),X1) != meet(complement(X_32),X1)
    | meet(complement(X_32),X1) = complement(join(meet(top,X_32),complement(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),complement(join(meet(top,X_32),complement(X1)))) ),[0],$fot(meet(complement(X_32),X1))]]) ).

cnf(refute_0_968,plain,
    ( meet(join(zero,complement(X_32)),X1) != complement(join(meet(top,X_32),complement(X1)))
    | meet(complement(X_32),X1) = complement(join(meet(top,X_32),complement(X1))) ),
    inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),meet(complement(X_32),X1)) )],[refute_0_966,refute_0_967]) ).

cnf(refute_0_969,plain,
    join(meet(top,X_32),complement(X1)) = join(meet(top,X_32),complement(X1)),
    introduced(tautology,[refl,[$fot(join(meet(top,X_32),complement(X1)))]]) ).

cnf(refute_0_970,plain,
    ( join(meet(top,X_32),complement(X1)) != join(meet(top,X_32),complement(X1))
    | meet(top,X_32) != X_32
    | join(meet(top,X_32),complement(X1)) = join(X_32,complement(X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_32),complement(X1)),join(meet(top,X_32),complement(X1))) ),[1,0],$fot(X_32)]]) ).

cnf(refute_0_971,plain,
    ( meet(top,X_32) != X_32
    | join(meet(top,X_32),complement(X1)) = join(X_32,complement(X1)) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_32),complement(X1)),join(meet(top,X_32),complement(X1))) )],[refute_0_969,refute_0_970]) ).

cnf(refute_0_972,plain,
    join(meet(top,X_32),complement(X1)) = join(X_32,complement(X1)),
    inference(resolve,[$cnf( $equal(meet(top,X_32),X_32) )],[refute_0_453,refute_0_971]) ).

cnf(refute_0_973,plain,
    complement(join(meet(top,X_32),complement(X1))) = complement(join(meet(top,X_32),complement(X1))),
    introduced(tautology,[refl,[$fot(complement(join(meet(top,X_32),complement(X1))))]]) ).

cnf(refute_0_974,plain,
    ( complement(join(meet(top,X_32),complement(X1))) != complement(join(meet(top,X_32),complement(X1)))
    | join(meet(top,X_32),complement(X1)) != join(X_32,complement(X1))
    | complement(join(meet(top,X_32),complement(X1))) = complement(join(X_32,complement(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_32),complement(X1))),complement(join(meet(top,X_32),complement(X1)))) ),[1,0],$fot(join(X_32,complement(X1)))]]) ).

cnf(refute_0_975,plain,
    ( join(meet(top,X_32),complement(X1)) != join(X_32,complement(X1))
    | complement(join(meet(top,X_32),complement(X1))) = complement(join(X_32,complement(X1))) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(top,X_32),complement(X1))),complement(join(meet(top,X_32),complement(X1)))) )],[refute_0_973,refute_0_974]) ).

cnf(refute_0_976,plain,
    complement(join(meet(top,X_32),complement(X1))) = complement(join(X_32,complement(X1))),
    inference(resolve,[$cnf( $equal(join(meet(top,X_32),complement(X1)),join(X_32,complement(X1))) )],[refute_0_972,refute_0_975]) ).

cnf(refute_0_977,plain,
    ( complement(join(meet(top,X_32),complement(X1))) != complement(join(X_32,complement(X1)))
    | meet(complement(X_32),X1) != complement(join(meet(top,X_32),complement(X1)))
    | meet(complement(X_32),X1) = complement(join(X_32,complement(X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_32),X1),complement(join(meet(top,X_32),complement(X1)))) ),[1],$fot(complement(join(X_32,complement(X1))))]]) ).

cnf(refute_0_978,plain,
    ( meet(complement(X_32),X1) != complement(join(meet(top,X_32),complement(X1)))
    | meet(complement(X_32),X1) = complement(join(X_32,complement(X1))) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(top,X_32),complement(X1))),complement(join(X_32,complement(X1)))) )],[refute_0_976,refute_0_977]) ).

cnf(refute_0_979,plain,
    ( meet(join(zero,complement(X_32)),X1) != complement(join(meet(top,X_32),complement(X1)))
    | meet(complement(X_32),X1) = complement(join(X_32,complement(X1))) ),
    inference(resolve,[$cnf( $equal(meet(complement(X_32),X1),complement(join(meet(top,X_32),complement(X1)))) )],[refute_0_968,refute_0_978]) ).

cnf(refute_0_980,plain,
    meet(complement(X_32),X1) = complement(join(X_32,complement(X1))),
    inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),complement(join(meet(top,X_32),complement(X1)))) )],[refute_0_962,refute_0_979]) ).

cnf(refute_0_981,plain,
    ( meet(complement(X_32),X1) != complement(join(X_32,complement(X1)))
    | complement(join(X_32,complement(X1))) = meet(complement(X_32),X1) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_32),X1))),bind(Y,$fot(complement(join(X_32,complement(X1)))))]]) ).

cnf(refute_0_982,plain,
    complement(join(X_32,complement(X1))) = meet(complement(X_32),X1),
    inference(resolve,[$cnf( $equal(meet(complement(X_32),X1),complement(join(X_32,complement(X1)))) )],[refute_0_980,refute_0_981]) ).

cnf(refute_0_983,plain,
    complement(join(meet(X0,X1),complement(X_86))) = meet(complement(meet(X0,X1)),X_86),
    inference(subst,[],[refute_0_982:[bind(X1,$fot(X_86)),bind(X_32,$fot(meet(X0,X1)))]]) ).

cnf(refute_0_984,plain,
    join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) = join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))),
    introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))))]]) ).

cnf(refute_0_985,plain,
    ( complement(join(meet(X0,X1),complement(X_86))) != meet(complement(meet(X0,X1)),X_86)
    | join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) != join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))
    | join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) = join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))),join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))) ),[1,1],$fot(meet(complement(meet(X0,X1)),X_86))]]) ).

cnf(refute_0_986,plain,
    ( complement(join(meet(X0,X1),complement(X_86))) != meet(complement(meet(X0,X1)),X_86)
    | join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) = join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))),join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))) )],[refute_0_984,refute_0_985]) ).

cnf(refute_0_987,plain,
    join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) = join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86)),
    inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),complement(X_86))),meet(complement(meet(X0,X1)),X_86)) )],[refute_0_983,refute_0_986]) ).

cnf(refute_0_988,plain,
    ( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))
    | join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))) != join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86))
    | join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86))) ),[0],$fot(join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))))]]) ).

cnf(refute_0_989,plain,
    ( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))
    | join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86)))),join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86))) )],[refute_0_987,refute_0_988]) ).

cnf(refute_0_990,plain,
    join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86)),
    inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_86)),complement(join(meet(X0,X1),complement(X_86))))) )],[refute_0_958,refute_0_989]) ).

cnf(refute_0_991,plain,
    ( complement(X1) != join(complement(join(X1,X_86)),meet(complement(X1),X_86))
    | join(complement(join(X1,X_86)),meet(complement(X1),X_86)) = complement(X1) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X1))),bind(Y,$fot(join(complement(join(X1,X_86)),meet(complement(X1),X_86))))]]) ).

cnf(refute_0_992,plain,
    join(complement(join(X1,X_86)),meet(complement(X1),X_86)) = complement(X1),
    inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,X_86)),meet(complement(X1),X_86))) )],[refute_0_430,refute_0_991]) ).

cnf(refute_0_993,plain,
    join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86)) = complement(meet(X0,X1)),
    inference(subst,[],[refute_0_992:[bind(X1,$fot(meet(X0,X1)))]]) ).

cnf(refute_0_994,plain,
    ( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86))
    | join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86)) != complement(meet(X0,X1))
    | join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86)))]]) ).

cnf(refute_0_995,plain,
    ( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86))
    | join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
    inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86)),complement(meet(X0,X1))) )],[refute_0_993,refute_0_994]) ).

cnf(refute_0_996,plain,
    join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
    inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_86)),meet(complement(meet(X0,X1)),X_86))) )],[refute_0_990,refute_0_995]) ).

cnf(refute_0_997,plain,
    join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))) = complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))),
    inference(subst,[],[refute_0_996:[bind(X0,$fot(converse(composition(skolemFOFtoCNF_X0,complement(one))))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_998,plain,
    ( complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))) != complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))) != complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0)))
    | join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_999,plain,
    ( complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))) != complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))),complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0)))) )],[refute_0_997,refute_0_998]) ).

cnf(refute_0_1000,plain,
    join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(resolve,[$cnf( $equal(complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(skolemFOFtoCNF_X0))),complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_942,refute_0_999]) ).

cnf(refute_0_1001,plain,
    ( X1 != complement(complement(X1))
    | complement(complement(X1)) = X1 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X1)),bind(Y,$fot(complement(complement(X1))))]]) ).

cnf(refute_0_1002,plain,
    complement(complement(X1)) = X1,
    inference(resolve,[$cnf( $equal(X1,complement(complement(X1))) )],[refute_0_340,refute_0_1001]) ).

cnf(refute_0_1003,plain,
    complement(complement(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
    inference(subst,[],[refute_0_1002:[bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_1004,plain,
    converse(complement(complement(skolemFOFtoCNF_X0))) = converse(complement(complement(skolemFOFtoCNF_X0))),
    introduced(tautology,[refl,[$fot(converse(complement(complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_1005,plain,
    ( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | converse(complement(complement(skolemFOFtoCNF_X0))) != converse(complement(complement(skolemFOFtoCNF_X0)))
    | converse(complement(complement(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(skolemFOFtoCNF_X0))),converse(complement(complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_1006,plain,
    ( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | converse(complement(complement(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(converse(complement(complement(skolemFOFtoCNF_X0))),converse(complement(complement(skolemFOFtoCNF_X0)))) )],[refute_0_1004,refute_0_1005]) ).

cnf(refute_0_1007,plain,
    converse(complement(complement(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1003,refute_0_1006]) ).

cnf(refute_0_1008,plain,
    complement(converse(complement(complement(skolemFOFtoCNF_X0)))) = complement(converse(complement(complement(skolemFOFtoCNF_X0)))),
    introduced(tautology,[refl,[$fot(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_1009,plain,
    ( complement(converse(complement(complement(skolemFOFtoCNF_X0)))) != complement(converse(complement(complement(skolemFOFtoCNF_X0))))
    | converse(complement(complement(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
    | complement(converse(complement(complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(skolemFOFtoCNF_X0)))),complement(converse(complement(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_1010,plain,
    ( converse(complement(complement(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
    | complement(converse(complement(complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(complement(skolemFOFtoCNF_X0)))),complement(converse(complement(complement(skolemFOFtoCNF_X0))))) )],[refute_0_1008,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    complement(converse(complement(complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(converse(complement(complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_1007,refute_0_1010]) ).

cnf(refute_0_1012,plain,
    converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))) = complement(converse(complement(complement(skolemFOFtoCNF_X0)))),
    inference(subst,[],[refute_0_19:[bind(X0,$fot(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_1013,plain,
    ( complement(converse(complement(complement(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
    | converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))) != complement(converse(complement(complement(skolemFOFtoCNF_X0))))
    | converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))) = complement(converse(skolemFOFtoCNF_X0)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_1014,plain,
    ( complement(converse(complement(complement(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
    | converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))) = complement(converse(skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(complement(complement(skolemFOFtoCNF_X0))))) )],[refute_0_1012,refute_0_1013]) ).

cnf(refute_0_1015,plain,
    converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))) = complement(converse(skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(complement(converse(complement(complement(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1011,refute_0_1014]) ).

cnf(refute_0_1016,plain,
    join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))),
    introduced(tautology,[refl,[$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))))]]) ).

cnf(refute_0_1017,plain,
    ( converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))) != complement(converse(skolemFOFtoCNF_X0))
    | join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))
    | join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_1018,plain,
    ( converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))) != complement(converse(skolemFOFtoCNF_X0))
    | join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_1016,refute_0_1017]) ).

cnf(refute_0_1019,plain,
    join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1015,refute_0_1018]) ).

cnf(refute_0_1020,plain,
    ( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))) != complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))
    | join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_1021,plain,
    ( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))) != complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1019,refute_0_1020]) ).

cnf(refute_0_1022,plain,
    join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))),complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_1000,refute_0_1021]) ).

cnf(refute_0_1023,plain,
    join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))))),bind(X1,$fot(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))))]]) ).

cnf(refute_0_1024,plain,
    ( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) != complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))
    | join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_1025,plain,
    ( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))) != complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_1023,refute_0_1024]) ).

cnf(refute_0_1026,plain,
    join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0))))))),complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_1022,refute_0_1025]) ).

cnf(refute_0_1027,plain,
    ( join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != top
    | complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),top) ),[0],$fot(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_1028,plain,
    ( join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))) != top
    | complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_1026,refute_0_1027]) ).

cnf(refute_0_1029,plain,
    complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) = top,
    inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(complement(complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(one))))),top) )],[refute_0_937,refute_0_1028]) ).

cnf(refute_0_1030,plain,
    ( complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) != top
    | converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))
    | converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_1031,plain,
    ( converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))
    | converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) ),
    inference(resolve,[$cnf( $equal(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),top) )],[refute_0_1029,refute_0_1030]) ).

cnf(refute_0_1032,plain,
    converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))) )],[refute_0_848,refute_0_1031]) ).

cnf(refute_0_1033,plain,
    zero = meet(converse(zero),complement(converse(zero))),
    inference(subst,[],[refute_0_150:[bind(X0,$fot(converse(zero)))]]) ).

cnf(refute_0_1034,plain,
    top = join(complement(converse(zero)),converse(complement(converse(complement(converse(zero)))))),
    inference(subst,[],[refute_0_810:[bind(X_11,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_1035,plain,
    top = join(zero,converse(complement(converse(zero)))),
    inference(subst,[],[refute_0_810:[bind(X_11,$fot(zero))]]) ).

cnf(refute_0_1036,plain,
    join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(converse(complement(converse(zero)))))]]) ).

cnf(refute_0_1037,plain,
    ( join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
    | top != join(zero,converse(complement(converse(zero))))
    | top = converse(complement(converse(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).

cnf(refute_0_1038,plain,
    ( top != join(zero,converse(complement(converse(zero))))
    | top = converse(complement(converse(zero))) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_1036,refute_0_1037]) ).

cnf(refute_0_1039,plain,
    top = converse(complement(converse(zero))),
    inference(resolve,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) )],[refute_0_1035,refute_0_1038]) ).

cnf(refute_0_1040,plain,
    ( top != converse(complement(converse(zero)))
    | converse(complement(converse(zero))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).

cnf(refute_0_1041,plain,
    converse(complement(converse(zero))) = top,
    inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_1039,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    ( converse(complement(converse(zero))) != top
    | top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
    | top = join(complement(converse(zero)),converse(complement(top))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) ),[1,1,0,0],$fot(top)]]) ).

cnf(refute_0_1043,plain,
    ( top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
    | top = join(complement(converse(zero)),converse(complement(top))) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_1041,refute_0_1042]) ).

cnf(refute_0_1044,plain,
    top = join(complement(converse(zero)),converse(complement(top))),
    inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) )],[refute_0_1034,refute_0_1043]) ).

cnf(refute_0_1045,plain,
    converse(join(zero,converse(X0))) = join(converse(zero),X0),
    inference(subst,[],[refute_0_501:[bind(X_5,$fot(zero))]]) ).

cnf(refute_0_1046,plain,
    join(zero,converse(X0)) = converse(X0),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(converse(X0)))]]) ).

cnf(refute_0_1047,plain,
    ( converse(join(zero,converse(X0))) != join(converse(zero),X0)
    | join(zero,converse(X0)) != converse(X0)
    | converse(converse(X0)) = join(converse(zero),X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) ),[0,0],$fot(converse(X0))]]) ).

cnf(refute_0_1048,plain,
    ( converse(join(zero,converse(X0))) != join(converse(zero),X0)
    | converse(converse(X0)) = join(converse(zero),X0) ),
    inference(resolve,[$cnf( $equal(join(zero,converse(X0)),converse(X0)) )],[refute_0_1046,refute_0_1047]) ).

cnf(refute_0_1049,plain,
    converse(converse(X0)) = join(converse(zero),X0),
    inference(resolve,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) )],[refute_0_1045,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    ( converse(converse(X0)) != X0
    | converse(converse(X0)) != join(converse(zero),X0)
    | X0 = join(converse(zero),X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) ),[0],$fot(X0)]]) ).

cnf(refute_0_1051,plain,
    ( converse(converse(X0)) != join(converse(zero),X0)
    | X0 = join(converse(zero),X0) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_19,refute_0_1050]) ).

cnf(refute_0_1052,plain,
    X0 = join(converse(zero),X0),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) )],[refute_0_1049,refute_0_1051]) ).

cnf(refute_0_1053,plain,
    ( X0 != join(converse(zero),X0)
    | join(converse(zero),X0) = X0 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(join(converse(zero),X0)))]]) ).

cnf(refute_0_1054,plain,
    join(converse(zero),X0) = X0,
    inference(resolve,[$cnf( $equal(X0,join(converse(zero),X0)) )],[refute_0_1052,refute_0_1053]) ).

cnf(refute_0_1055,plain,
    join(converse(zero),complement(converse(zero))) = complement(converse(zero)),
    inference(subst,[],[refute_0_1054:[bind(X0,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_1056,plain,
    join(complement(converse(zero)),converse(zero)) = join(converse(zero),complement(converse(zero))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(converse(zero))),bind(X1,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_1057,plain,
    ( join(complement(converse(zero)),converse(zero)) != join(converse(zero),complement(converse(zero)))
    | join(converse(zero),complement(converse(zero))) != complement(converse(zero))
    | join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(zero)),converse(zero)))),bind(Y,$fot(join(converse(zero),complement(converse(zero))))),bind(Z,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_1058,plain,
    ( join(converse(zero),complement(converse(zero))) != complement(converse(zero))
    | join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),join(converse(zero),complement(converse(zero)))) )],[refute_0_1056,refute_0_1057]) ).

cnf(refute_0_1059,plain,
    join(complement(converse(zero)),converse(zero)) = complement(converse(zero)),
    inference(resolve,[$cnf( $equal(join(converse(zero),complement(converse(zero))),complement(converse(zero))) )],[refute_0_1055,refute_0_1058]) ).

cnf(refute_0_1060,plain,
    converse(complement(top)) = converse(complement(top)),
    introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).

cnf(refute_0_1061,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_1062,plain,
    ( complement(top) != zero
    | converse(complement(top)) = converse(zero) ),
    inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_1060,refute_0_1061]) ).

cnf(refute_0_1063,plain,
    converse(complement(top)) = converse(zero),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_1062]) ).

cnf(refute_0_1064,plain,
    join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(complement(top))),
    introduced(tautology,[refl,[$fot(join(complement(converse(zero)),converse(complement(top))))]]) ).

cnf(refute_0_1065,plain,
    ( converse(complement(top)) != converse(zero)
    | join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(complement(top)))
    | join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) ),[1,1],$fot(converse(zero))]]) ).

cnf(refute_0_1066,plain,
    ( converse(complement(top)) != converse(zero)
    | join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_1064,refute_0_1065]) ).

cnf(refute_0_1067,plain,
    join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)),
    inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_1063,refute_0_1066]) ).

cnf(refute_0_1068,plain,
    ( join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(zero))
    | join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
    | join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(zero)),converse(complement(top))))),bind(Y,$fot(join(complement(converse(zero)),converse(zero)))),bind(Z,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_1069,plain,
    ( join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
    | join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(zero))) )],[refute_0_1067,refute_0_1068]) ).

cnf(refute_0_1070,plain,
    join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)),
    inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),complement(converse(zero))) )],[refute_0_1059,refute_0_1069]) ).

cnf(refute_0_1071,plain,
    ( join(complement(converse(zero)),converse(complement(top))) != complement(converse(zero))
    | top != join(complement(converse(zero)),converse(complement(top)))
    | top = complement(converse(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) ),[1],$fot(complement(converse(zero)))]]) ).

cnf(refute_0_1072,plain,
    ( top != join(complement(converse(zero)),converse(complement(top)))
    | top = complement(converse(zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),complement(converse(zero))) )],[refute_0_1070,refute_0_1071]) ).

cnf(refute_0_1073,plain,
    top = complement(converse(zero)),
    inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_1044,refute_0_1072]) ).

cnf(refute_0_1074,plain,
    ( top != complement(converse(zero))
    | complement(converse(zero)) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_1075,plain,
    complement(converse(zero)) = top,
    inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_1073,refute_0_1074]) ).

cnf(refute_0_1076,plain,
    ( complement(converse(zero)) != top
    | zero != meet(converse(zero),complement(converse(zero)))
    | zero = meet(converse(zero),top) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1077,plain,
    ( zero != meet(converse(zero),complement(converse(zero)))
    | zero = meet(converse(zero),top) ),
    inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_1075,refute_0_1076]) ).

cnf(refute_0_1078,plain,
    zero = meet(converse(zero),top),
    inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_1033,refute_0_1077]) ).

cnf(refute_0_1079,plain,
    join(zero,meet(X_85,top)) = meet(X_85,top),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(meet(X_85,top)))]]) ).

cnf(refute_0_1080,plain,
    ( X_85 != join(zero,meet(X_85,top))
    | join(zero,meet(X_85,top)) != meet(X_85,top)
    | X_85 = meet(X_85,top) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_85,meet(X_85,top)) ),[0],$fot(join(zero,meet(X_85,top)))]]) ).

cnf(refute_0_1081,plain,
    ( X_85 != join(zero,meet(X_85,top))
    | X_85 = meet(X_85,top) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(X_85,top)),meet(X_85,top)) )],[refute_0_1079,refute_0_1080]) ).

cnf(refute_0_1082,plain,
    X_85 = meet(X_85,top),
    inference(resolve,[$cnf( $equal(X_85,join(zero,meet(X_85,top))) )],[refute_0_274,refute_0_1081]) ).

cnf(refute_0_1083,plain,
    ( X_85 != meet(X_85,top)
    | meet(X_85,top) = X_85 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_85)),bind(Y,$fot(meet(X_85,top)))]]) ).

cnf(refute_0_1084,plain,
    meet(X_85,top) = X_85,
    inference(resolve,[$cnf( $equal(X_85,meet(X_85,top)) )],[refute_0_1082,refute_0_1083]) ).

cnf(refute_0_1085,plain,
    meet(converse(zero),top) = converse(zero),
    inference(subst,[],[refute_0_1084:[bind(X_85,$fot(converse(zero)))]]) ).

cnf(refute_0_1086,plain,
    ( meet(converse(zero),top) != converse(zero)
    | zero != meet(converse(zero),top)
    | zero = converse(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).

cnf(refute_0_1087,plain,
    ( zero != meet(converse(zero),top)
    | zero = converse(zero) ),
    inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_1085,refute_0_1086]) ).

cnf(refute_0_1088,plain,
    zero = converse(zero),
    inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_1078,refute_0_1087]) ).

cnf(refute_0_1089,plain,
    ( zero != converse(zero)
    | converse(zero) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).

cnf(refute_0_1090,plain,
    converse(zero) = zero,
    inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_1088,refute_0_1089]) ).

cnf(refute_0_1091,plain,
    converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),
    introduced(tautology,[refl,[$fot(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_1092,plain,
    ( complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) != top
    | converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) != converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1093,plain,
    ( complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) != top
    | converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1091,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = converse(top),
    inference(resolve,[$cnf( $equal(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),top) )],[refute_0_1029,refute_0_1093]) ).

cnf(refute_0_1095,plain,
    ( converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) != converse(top)
    | converse(top) != top
    | converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = top ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1096,plain,
    ( converse(top) != top
    | converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = top ),
    inference(resolve,[$cnf( $equal(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),converse(top)) )],[refute_0_1094,refute_0_1095]) ).

cnf(refute_0_1097,plain,
    converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = top,
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_1096]) ).

cnf(refute_0_1098,plain,
    complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) = complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))),
    introduced(tautology,[refl,[$fot(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))]]) ).

cnf(refute_0_1099,plain,
    ( complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) != complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))
    | converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) != top
    | complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))),complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1100,plain,
    ( converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) != top
    | complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))),complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_1098,refute_0_1099]) ).

cnf(refute_0_1101,plain,
    complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) = complement(top),
    inference(resolve,[$cnf( $equal(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),top) )],[refute_0_1097,refute_0_1100]) ).

cnf(refute_0_1102,plain,
    ( complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) != complement(top)
    | complement(top) != zero
    | complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1103,plain,
    ( complement(top) != zero
    | complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))),complement(top)) )],[refute_0_1101,refute_0_1102]) ).

cnf(refute_0_1104,plain,
    complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_1103]) ).

cnf(refute_0_1105,plain,
    converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),
    introduced(tautology,[refl,[$fot(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))]]) ).

cnf(refute_0_1106,plain,
    ( complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) != zero
    | converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))
    | converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = converse(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1107,plain,
    ( complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) != zero
    | converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = converse(zero) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_1105,refute_0_1106]) ).

cnf(refute_0_1108,plain,
    converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = converse(zero),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))),zero) )],[refute_0_1104,refute_0_1107]) ).

cnf(refute_0_1109,plain,
    ( converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != converse(zero)
    | converse(zero) != zero
    | converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1110,plain,
    ( converse(zero) != zero
    | converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = zero ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(zero)) )],[refute_0_1108,refute_0_1109]) ).

cnf(refute_0_1111,plain,
    converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) = zero,
    inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1090,refute_0_1110]) ).

cnf(refute_0_1112,plain,
    ( converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))
    | converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != zero
    | zero = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))) ),[0],$fot(zero)]]) ).

cnf(refute_0_1113,plain,
    ( converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))
    | zero = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),zero) )],[refute_0_1111,refute_0_1112]) ).

cnf(refute_0_1114,plain,
    join(join(zero,X_60),zero) = join(zero,join(zero,X_60)),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(join(zero,X_60))),bind(X1,$fot(zero))]]) ).

cnf(refute_0_1115,plain,
    join(zero,join(zero,X_60)) = join(zero,X_60),
    inference(subst,[],[refute_0_313:[bind(X2,$fot(X_60))]]) ).

cnf(refute_0_1116,plain,
    ( join(join(zero,X_60),zero) != join(zero,join(zero,X_60))
    | join(zero,join(zero,X_60)) != join(zero,X_60)
    | join(join(zero,X_60),zero) = join(zero,X_60) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(join(zero,X_60),zero),join(zero,X_60)) ),[0],$fot(join(zero,join(zero,X_60)))]]) ).

cnf(refute_0_1117,plain,
    ( join(join(zero,X_60),zero) != join(zero,join(zero,X_60))
    | join(join(zero,X_60),zero) = join(zero,X_60) ),
    inference(resolve,[$cnf( $equal(join(zero,join(zero,X_60)),join(zero,X_60)) )],[refute_0_1115,refute_0_1116]) ).

cnf(refute_0_1118,plain,
    join(join(zero,X_60),zero) = join(zero,X_60),
    inference(resolve,[$cnf( $equal(join(join(zero,X_60),zero),join(zero,join(zero,X_60))) )],[refute_0_1114,refute_0_1117]) ).

cnf(refute_0_1119,plain,
    join(join(zero,X_60),zero) = join(zero,join(X_60,zero)),
    inference(subst,[],[refute_0_70:[bind(X0,$fot(zero)),bind(X1,$fot(X_60)),bind(X2,$fot(zero))]]) ).

cnf(refute_0_1120,plain,
    ( join(join(zero,X_60),zero) != join(zero,X_60)
    | join(join(zero,X_60),zero) != join(zero,join(X_60,zero))
    | join(zero,join(X_60,zero)) = join(zero,X_60) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(zero,X_60),zero),join(zero,X_60)) ),[0],$fot(join(zero,join(X_60,zero)))]]) ).

cnf(refute_0_1121,plain,
    ( join(join(zero,X_60),zero) != join(zero,X_60)
    | join(zero,join(X_60,zero)) = join(zero,X_60) ),
    inference(resolve,[$cnf( $equal(join(join(zero,X_60),zero),join(zero,join(X_60,zero))) )],[refute_0_1119,refute_0_1120]) ).

cnf(refute_0_1122,plain,
    join(zero,join(X_60,zero)) = join(zero,X_60),
    inference(resolve,[$cnf( $equal(join(join(zero,X_60),zero),join(zero,X_60)) )],[refute_0_1118,refute_0_1121]) ).

cnf(refute_0_1123,plain,
    join(zero,join(X_60,zero)) = join(X_60,zero),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(join(X_60,zero)))]]) ).

cnf(refute_0_1124,plain,
    ( join(zero,join(X_60,zero)) != join(X_60,zero)
    | join(zero,join(X_60,zero)) != join(zero,X_60)
    | join(X_60,zero) = join(zero,X_60) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X_60,zero)),join(zero,X_60)) ),[0],$fot(join(X_60,zero))]]) ).

cnf(refute_0_1125,plain,
    ( join(zero,join(X_60,zero)) != join(zero,X_60)
    | join(X_60,zero) = join(zero,X_60) ),
    inference(resolve,[$cnf( $equal(join(zero,join(X_60,zero)),join(X_60,zero)) )],[refute_0_1123,refute_0_1124]) ).

cnf(refute_0_1126,plain,
    join(zero,X_60) = X_60,
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(X_60))]]) ).

cnf(refute_0_1127,plain,
    ( join(X_60,zero) != join(zero,X_60)
    | join(zero,X_60) != X_60
    | join(X_60,zero) = X_60 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_60,zero),X_60) ),[0],$fot(join(zero,X_60))]]) ).

cnf(refute_0_1128,plain,
    ( join(X_60,zero) != join(zero,X_60)
    | join(X_60,zero) = X_60 ),
    inference(resolve,[$cnf( $equal(join(zero,X_60),X_60) )],[refute_0_1126,refute_0_1127]) ).

cnf(refute_0_1129,plain,
    ( join(zero,join(X_60,zero)) != join(zero,X_60)
    | join(X_60,zero) = X_60 ),
    inference(resolve,[$cnf( $equal(join(X_60,zero),join(zero,X_60)) )],[refute_0_1125,refute_0_1128]) ).

cnf(refute_0_1130,plain,
    join(X_60,zero) = X_60,
    inference(resolve,[$cnf( $equal(join(zero,join(X_60,zero)),join(zero,X_60)) )],[refute_0_1122,refute_0_1129]) ).

cnf(refute_0_1131,plain,
    join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero) = meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(subst,[],[refute_0_1130:[bind(X_60,$fot(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_1132,plain,
    meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))) = converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),
    inference(subst,[],[refute_0_328:[bind(X_87,$fot(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))]]) ).

cnf(refute_0_1133,plain,
    ( converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != zero
    | meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))) != converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))
    | meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))),bind(Y,$fot(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1134,plain,
    ( converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != zero
    | meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))),converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_1132,refute_0_1133]) ).

cnf(refute_0_1135,plain,
    meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))) = zero,
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),zero) )],[refute_0_1111,refute_0_1134]) ).

cnf(refute_0_1136,plain,
    join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))),
    introduced(tautology,[refl,[$fot(join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))))]]) ).

cnf(refute_0_1137,plain,
    ( join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))
    | meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))) != zero
    | join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))),join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1138,plain,
    ( meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))) != zero
    | join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))),join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))) )],[refute_0_1136,refute_0_1137]) ).

cnf(refute_0_1139,plain,
    join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) = join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero),
    inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))),zero) )],[refute_0_1135,refute_0_1138]) ).

cnf(refute_0_1140,plain,
    ( join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero)
    | join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero) != meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) = meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))))),bind(Y,$fot(join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero))),bind(Z,$fot(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_1141,plain,
    ( join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero) != meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) = meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))),join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero)) )],[refute_0_1139,refute_0_1140]) ).

cnf(refute_0_1142,plain,
    join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) = meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero),meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1131,refute_0_1141]) ).

cnf(refute_0_1143,plain,
    ( join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))) != meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | zero != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))
    | zero = meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))) ),[1],$fot(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_1144,plain,
    ( zero != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))
    | zero = meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))))),meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1142,refute_0_1143]) ).

cnf(refute_0_1145,plain,
    ( converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))
    | zero = meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(resolve,[$cnf( $equal(zero,join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))) )],[refute_0_1113,refute_0_1144]) ).

cnf(refute_0_1146,plain,
    zero = meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(top,converse(complement(converse(complement(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))))))) )],[refute_0_1032,refute_0_1145]) ).

cnf(refute_0_1147,plain,
    ( zero != meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_1148,plain,
    meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1146,refute_0_1147]) ).

cnf(refute_0_1149,plain,
    ( converse(composition(skolemFOFtoCNF_X0,complement(one))) != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) != zero
    | converse(composition(skolemFOFtoCNF_X0,complement(one))) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(one))),join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1150,plain,
    ( converse(composition(skolemFOFtoCNF_X0,complement(one))) != join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | converse(composition(skolemFOFtoCNF_X0,complement(one))) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),zero) )],[refute_0_1148,refute_0_1149]) ).

cnf(refute_0_1151,plain,
    converse(composition(skolemFOFtoCNF_X0,complement(one))) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(one))),join(meet(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_483,refute_0_1150]) ).

cnf(refute_0_1152,plain,
    join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))) = meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_1153,plain,
    ( converse(composition(skolemFOFtoCNF_X0,complement(one))) != join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))) != meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | converse(composition(skolemFOFtoCNF_X0,complement(one))) = meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(skolemFOFtoCNF_X0,complement(one))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_1154,plain,
    ( converse(composition(skolemFOFtoCNF_X0,complement(one))) != join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | converse(composition(skolemFOFtoCNF_X0,complement(one))) = meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1152,refute_0_1153]) ).

cnf(refute_0_1155,plain,
    converse(composition(skolemFOFtoCNF_X0,complement(one))) = meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(one))),join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_1151,refute_0_1154]) ).

cnf(refute_0_1156,plain,
    ( converse(composition(skolemFOFtoCNF_X0,complement(one))) != meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = converse(composition(skolemFOFtoCNF_X0,complement(one))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_1157,plain,
    meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = converse(composition(skolemFOFtoCNF_X0,complement(one))),
    inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(one))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1155,refute_0_1156]) ).

cnf(refute_0_1158,plain,
    ( complement(converse(skolemFOFtoCNF_X0)) != join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))) != converse(composition(skolemFOFtoCNF_X0,complement(one)))
    | complement(converse(skolemFOFtoCNF_X0)) = join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).

cnf(refute_0_1159,plain,
    ( complement(converse(skolemFOFtoCNF_X0)) != join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | complement(converse(skolemFOFtoCNF_X0)) = join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_1157,refute_0_1158]) ).

cnf(refute_0_1160,plain,
    complement(converse(skolemFOFtoCNF_X0)) = join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_431,refute_0_1159]) ).

cnf(refute_0_1161,plain,
    converse(join(X_5,converse(join(X_10,converse(X_9))))) = join(converse(X_5),join(X_10,converse(X_9))),
    inference(subst,[],[refute_0_501:[bind(X0,$fot(join(X_10,converse(X_9))))]]) ).

cnf(refute_0_1162,plain,
    ( converse(join(X_10,converse(X_9))) != join(converse(X_10),X_9)
    | converse(join(X_5,converse(join(X_10,converse(X_9))))) != join(converse(X_5),join(X_10,converse(X_9)))
    | converse(join(X_5,join(converse(X_10),X_9))) = join(converse(X_5),join(X_10,converse(X_9))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_5,converse(join(X_10,converse(X_9))))),join(converse(X_5),join(X_10,converse(X_9)))) ),[0,0,1],$fot(join(converse(X_10),X_9))]]) ).

cnf(refute_0_1163,plain,
    ( converse(join(X_5,converse(join(X_10,converse(X_9))))) != join(converse(X_5),join(X_10,converse(X_9)))
    | converse(join(X_5,join(converse(X_10),X_9))) = join(converse(X_5),join(X_10,converse(X_9))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_10,converse(X_9))),join(converse(X_10),X_9)) )],[refute_0_850,refute_0_1162]) ).

cnf(refute_0_1164,plain,
    converse(join(X_5,join(converse(X_10),X_9))) = join(converse(X_5),join(X_10,converse(X_9))),
    inference(resolve,[$cnf( $equal(converse(join(X_5,converse(join(X_10,converse(X_9))))),join(converse(X_5),join(X_10,converse(X_9)))) )],[refute_0_1161,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    join(join(converse(X_124),X_125),converse(X_123)) = join(converse(X_123),join(converse(X_124),X_125)),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(join(converse(X_124),X_125))),bind(X1,$fot(converse(X_123)))]]) ).

cnf(refute_0_1166,plain,
    join(converse(join(X_123,X_124)),X_125) = join(converse(X_123),join(converse(X_124),X_125)),
    inference(subst,[],[refute_0_864:[bind(X0,$fot(X_123)),bind(X_10,$fot(X_124)),bind(X_9,$fot(X_125))]]) ).

cnf(refute_0_1167,plain,
    ( join(converse(join(X_123,X_124)),X_125) != join(converse(X_123),join(converse(X_124),X_125))
    | join(converse(X_123),join(converse(X_124),X_125)) = join(converse(join(X_123,X_124)),X_125) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(converse(join(X_123,X_124)),X_125))),bind(Y,$fot(join(converse(X_123),join(converse(X_124),X_125))))]]) ).

cnf(refute_0_1168,plain,
    join(converse(X_123),join(converse(X_124),X_125)) = join(converse(join(X_123,X_124)),X_125),
    inference(resolve,[$cnf( $equal(join(converse(join(X_123,X_124)),X_125),join(converse(X_123),join(converse(X_124),X_125))) )],[refute_0_1166,refute_0_1167]) ).

cnf(refute_0_1169,plain,
    ( join(converse(X_123),join(converse(X_124),X_125)) != join(converse(join(X_123,X_124)),X_125)
    | join(join(converse(X_124),X_125),converse(X_123)) != join(converse(X_123),join(converse(X_124),X_125))
    | join(join(converse(X_124),X_125),converse(X_123)) = join(converse(join(X_123,X_124)),X_125) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(converse(X_124),X_125),converse(X_123)),join(converse(X_123),join(converse(X_124),X_125))) ),[1],$fot(join(converse(join(X_123,X_124)),X_125))]]) ).

cnf(refute_0_1170,plain,
    ( join(join(converse(X_124),X_125),converse(X_123)) != join(converse(X_123),join(converse(X_124),X_125))
    | join(join(converse(X_124),X_125),converse(X_123)) = join(converse(join(X_123,X_124)),X_125) ),
    inference(resolve,[$cnf( $equal(join(converse(X_123),join(converse(X_124),X_125)),join(converse(join(X_123,X_124)),X_125)) )],[refute_0_1168,refute_0_1169]) ).

cnf(refute_0_1171,plain,
    join(join(converse(X_124),X_125),converse(X_123)) = join(converse(join(X_123,X_124)),X_125),
    inference(resolve,[$cnf( $equal(join(join(converse(X_124),X_125),converse(X_123)),join(converse(X_123),join(converse(X_124),X_125))) )],[refute_0_1165,refute_0_1170]) ).

cnf(refute_0_1172,plain,
    ( converse(join(X_5,join(converse(X_10),X_9))) != join(converse(X_5),join(X_10,converse(X_9)))
    | join(converse(X_5),join(X_10,converse(X_9))) = converse(join(X_5,join(converse(X_10),X_9))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_5,join(converse(X_10),X_9))))),bind(Y,$fot(join(converse(X_5),join(X_10,converse(X_9)))))]]) ).

cnf(refute_0_1173,plain,
    join(converse(X_5),join(X_10,converse(X_9))) = converse(join(X_5,join(converse(X_10),X_9))),
    inference(resolve,[$cnf( $equal(converse(join(X_5,join(converse(X_10),X_9))),join(converse(X_5),join(X_10,converse(X_9)))) )],[refute_0_1164,refute_0_1172]) ).

cnf(refute_0_1174,plain,
    join(converse(X_124),join(X_125,converse(X_123))) = converse(join(X_124,join(converse(X_125),X_123))),
    inference(subst,[],[refute_0_1173:[bind(X_10,$fot(X_125)),bind(X_5,$fot(X_124)),bind(X_9,$fot(X_123))]]) ).

cnf(refute_0_1175,plain,
    join(join(converse(X_124),X_125),converse(X_123)) = join(converse(X_124),join(X_125,converse(X_123))),
    inference(subst,[],[refute_0_70:[bind(X0,$fot(converse(X_124))),bind(X1,$fot(X_125)),bind(X2,$fot(converse(X_123)))]]) ).

cnf(refute_0_1176,plain,
    ( join(converse(X_124),join(X_125,converse(X_123))) != converse(join(X_124,join(converse(X_125),X_123)))
    | join(join(converse(X_124),X_125),converse(X_123)) != join(converse(X_124),join(X_125,converse(X_123)))
    | join(join(converse(X_124),X_125),converse(X_123)) = converse(join(X_124,join(converse(X_125),X_123))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(join(converse(X_124),X_125),converse(X_123)))),bind(Y,$fot(join(converse(X_124),join(X_125,converse(X_123))))),bind(Z,$fot(converse(join(X_124,join(converse(X_125),X_123)))))]]) ).

cnf(refute_0_1177,plain,
    ( join(converse(X_124),join(X_125,converse(X_123))) != converse(join(X_124,join(converse(X_125),X_123)))
    | join(join(converse(X_124),X_125),converse(X_123)) = converse(join(X_124,join(converse(X_125),X_123))) ),
    inference(resolve,[$cnf( $equal(join(join(converse(X_124),X_125),converse(X_123)),join(converse(X_124),join(X_125,converse(X_123)))) )],[refute_0_1175,refute_0_1176]) ).

cnf(refute_0_1178,plain,
    join(join(converse(X_124),X_125),converse(X_123)) = converse(join(X_124,join(converse(X_125),X_123))),
    inference(resolve,[$cnf( $equal(join(converse(X_124),join(X_125,converse(X_123))),converse(join(X_124,join(converse(X_125),X_123)))) )],[refute_0_1174,refute_0_1177]) ).

cnf(refute_0_1179,plain,
    ( join(join(converse(X_124),X_125),converse(X_123)) != converse(join(X_124,join(converse(X_125),X_123)))
    | join(join(converse(X_124),X_125),converse(X_123)) != join(converse(join(X_123,X_124)),X_125)
    | converse(join(X_124,join(converse(X_125),X_123))) = join(converse(join(X_123,X_124)),X_125) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(converse(X_124),X_125),converse(X_123)),join(converse(join(X_123,X_124)),X_125)) ),[0],$fot(converse(join(X_124,join(converse(X_125),X_123))))]]) ).

cnf(refute_0_1180,plain,
    ( join(join(converse(X_124),X_125),converse(X_123)) != join(converse(join(X_123,X_124)),X_125)
    | converse(join(X_124,join(converse(X_125),X_123))) = join(converse(join(X_123,X_124)),X_125) ),
    inference(resolve,[$cnf( $equal(join(join(converse(X_124),X_125),converse(X_123)),converse(join(X_124,join(converse(X_125),X_123)))) )],[refute_0_1178,refute_0_1179]) ).

cnf(refute_0_1181,plain,
    converse(join(X_124,join(converse(X_125),X_123))) = join(converse(join(X_123,X_124)),X_125),
    inference(resolve,[$cnf( $equal(join(join(converse(X_124),X_125),converse(X_123)),join(converse(join(X_123,X_124)),X_125)) )],[refute_0_1171,refute_0_1180]) ).

cnf(refute_0_1182,plain,
    converse(join(X_5,join(converse(X_10),X_9))) = join(converse(join(X_9,X_5)),X_10),
    inference(subst,[],[refute_0_1181:[bind(X_123,$fot(X_9)),bind(X_124,$fot(X_5)),bind(X_125,$fot(X_10))]]) ).

cnf(refute_0_1183,plain,
    ( converse(join(X_5,join(converse(X_10),X_9))) != join(converse(X_5),join(X_10,converse(X_9)))
    | converse(join(X_5,join(converse(X_10),X_9))) != join(converse(join(X_9,X_5)),X_10)
    | join(converse(join(X_9,X_5)),X_10) = join(converse(X_5),join(X_10,converse(X_9))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_5,join(converse(X_10),X_9))),join(converse(X_5),join(X_10,converse(X_9)))) ),[0],$fot(join(converse(join(X_9,X_5)),X_10))]]) ).

cnf(refute_0_1184,plain,
    ( converse(join(X_5,join(converse(X_10),X_9))) != join(converse(X_5),join(X_10,converse(X_9)))
    | join(converse(join(X_9,X_5)),X_10) = join(converse(X_5),join(X_10,converse(X_9))) ),
    inference(resolve,[$cnf( $equal(converse(join(X_5,join(converse(X_10),X_9))),join(converse(join(X_9,X_5)),X_10)) )],[refute_0_1182,refute_0_1183]) ).

cnf(refute_0_1185,plain,
    join(converse(join(X_9,X_5)),X_10) = join(converse(X_5),join(X_10,converse(X_9))),
    inference(resolve,[$cnf( $equal(converse(join(X_5,join(converse(X_10),X_9))),join(converse(X_5),join(X_10,converse(X_9)))) )],[refute_0_1164,refute_0_1184]) ).

cnf(refute_0_1186,plain,
    join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),join(X_10,converse(X_9))),
    inference(subst,[],[refute_0_1185:[bind(X_5,$fot(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))]]) ).

cnf(refute_0_1187,plain,
    join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(composition(X_62,X_63),X1)))) = complement(X1),
    inference(subst,[],[refute_0_10:[bind(X0,$fot(composition(X_62,X_63)))]]) ).

cnf(refute_0_1188,plain,
    composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(canonicalize,[],[normalize_0_29]) ).

cnf(refute_0_1189,plain,
    composition(X_62,composition(X_63,X1)) = composition(composition(X_62,X_63),X1),
    inference(subst,[],[refute_0_1188:[bind(X0,$fot(X_62)),bind(X1,$fot(X_63)),bind(X2,$fot(X1))]]) ).

cnf(refute_0_1190,plain,
    ( composition(X_62,composition(X_63,X1)) != composition(composition(X_62,X_63),X1)
    | composition(composition(X_62,X_63),X1) = composition(X_62,composition(X_63,X1)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X_62,composition(X_63,X1)))),bind(Y,$fot(composition(composition(X_62,X_63),X1)))]]) ).

cnf(refute_0_1191,plain,
    composition(composition(X_62,X_63),X1) = composition(X_62,composition(X_63,X1)),
    inference(resolve,[$cnf( $equal(composition(X_62,composition(X_63,X1)),composition(composition(X_62,X_63),X1)) )],[refute_0_1189,refute_0_1190]) ).

cnf(refute_0_1192,plain,
    ( composition(composition(X_62,X_63),X1) != composition(X_62,composition(X_63,X1))
    | join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(composition(X_62,X_63),X1)))) != complement(X1)
    | join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(X_62,composition(X_63,X1))))) = complement(X1) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(composition(X_62,X_63),X1)))),complement(X1)) ),[0,1,1,0],$fot(composition(X_62,composition(X_63,X1)))]]) ).

cnf(refute_0_1193,plain,
    ( join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(composition(X_62,X_63),X1)))) != complement(X1)
    | join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(X_62,composition(X_63,X1))))) = complement(X1) ),
    inference(resolve,[$cnf( $equal(composition(composition(X_62,X_63),X1),composition(X_62,composition(X_63,X1))) )],[refute_0_1191,refute_0_1192]) ).

cnf(refute_0_1194,plain,
    join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(X_62,composition(X_63,X1))))) = complement(X1),
    inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(composition(X_62,X_63)),complement(composition(composition(X_62,X_63),X1)))),complement(X1)) )],[refute_0_1187,refute_0_1193]) ).

cnf(refute_0_1195,plain,
    join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top))))) = complement(top),
    inference(subst,[],[refute_0_1194:[bind(X1,$fot(top)),bind(X_62,$fot(complement(one))),bind(X_63,$fot(meet(one,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_1196,plain,
    composition(X0,composition(complement(converse(composition(top,X0))),X2)) = composition(composition(X0,complement(converse(composition(top,X0)))),X2),
    inference(subst,[],[refute_0_1188:[bind(X1,$fot(complement(converse(composition(top,X0)))))]]) ).

cnf(refute_0_1197,plain,
    join(complement(converse(top)),composition(X_77,complement(converse(composition(top,X_77))))) = complement(converse(top)),
    inference(subst,[],[refute_0_31:[bind(X_23,$fot(top)),bind(X_24,$fot(X_77))]]) ).

cnf(refute_0_1198,plain,
    ( converse(top) != top
    | join(complement(converse(top)),composition(X_77,complement(converse(composition(top,X_77))))) != complement(converse(top))
    | join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) = complement(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(X_77,complement(converse(composition(top,X_77))))),complement(converse(top))) ),[0,0,0],$fot(top)]]) ).

cnf(refute_0_1199,plain,
    ( join(complement(converse(top)),composition(X_77,complement(converse(composition(top,X_77))))) != complement(converse(top))
    | join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) = complement(converse(top)) ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_1198]) ).

cnf(refute_0_1200,plain,
    join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) = complement(converse(top)),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(X_77,complement(converse(composition(top,X_77))))),complement(converse(top))) )],[refute_0_1197,refute_0_1199]) ).

cnf(refute_0_1201,plain,
    join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) = join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))),
    introduced(tautology,[refl,[$fot(join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))))]]) ).

cnf(refute_0_1202,plain,
    ( complement(top) != zero
    | join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) != join(complement(top),composition(X_77,complement(converse(composition(top,X_77)))))
    | join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) = join(zero,composition(X_77,complement(converse(composition(top,X_77))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))),join(complement(top),composition(X_77,complement(converse(composition(top,X_77)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1203,plain,
    ( complement(top) != zero
    | join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) = join(zero,composition(X_77,complement(converse(composition(top,X_77))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))),join(complement(top),composition(X_77,complement(converse(composition(top,X_77)))))) )],[refute_0_1201,refute_0_1202]) ).

cnf(refute_0_1204,plain,
    join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) = join(zero,composition(X_77,complement(converse(composition(top,X_77))))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_1203]) ).

cnf(refute_0_1205,plain,
    ( join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) != complement(converse(top))
    | join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) != join(zero,composition(X_77,complement(converse(composition(top,X_77)))))
    | join(zero,composition(X_77,complement(converse(composition(top,X_77))))) = complement(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))),complement(converse(top))) ),[0],$fot(join(zero,composition(X_77,complement(converse(composition(top,X_77))))))]]) ).

cnf(refute_0_1206,plain,
    ( join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) != complement(converse(top))
    | join(zero,composition(X_77,complement(converse(composition(top,X_77))))) = complement(converse(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))),join(zero,composition(X_77,complement(converse(composition(top,X_77)))))) )],[refute_0_1204,refute_0_1205]) ).

cnf(refute_0_1207,plain,
    complement(converse(top)) = complement(converse(top)),
    introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).

cnf(refute_0_1208,plain,
    ( complement(converse(top)) != complement(converse(top))
    | converse(top) != top
    | complement(converse(top)) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1209,plain,
    ( converse(top) != top
    | complement(converse(top)) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_1207,refute_0_1208]) ).

cnf(refute_0_1210,plain,
    complement(converse(top)) = complement(top),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_1209]) ).

cnf(refute_0_1211,plain,
    ( complement(converse(top)) != complement(top)
    | complement(top) != zero
    | complement(converse(top)) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1212,plain,
    ( complement(top) != zero
    | complement(converse(top)) = zero ),
    inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_1210,refute_0_1211]) ).

cnf(refute_0_1213,plain,
    complement(converse(top)) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_1212]) ).

cnf(refute_0_1214,plain,
    ( complement(converse(top)) != zero
    | join(zero,composition(X_77,complement(converse(composition(top,X_77))))) != complement(converse(top))
    | join(zero,composition(X_77,complement(converse(composition(top,X_77))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X_77,complement(converse(composition(top,X_77))))),complement(converse(top))) ),[1],$fot(zero)]]) ).

cnf(refute_0_1215,plain,
    ( join(zero,composition(X_77,complement(converse(composition(top,X_77))))) != complement(converse(top))
    | join(zero,composition(X_77,complement(converse(composition(top,X_77))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1213,refute_0_1214]) ).

cnf(refute_0_1216,plain,
    ( join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))) != complement(converse(top))
    | join(zero,composition(X_77,complement(converse(composition(top,X_77))))) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(X_77,complement(converse(composition(top,X_77))))),complement(converse(top))) )],[refute_0_1206,refute_0_1215]) ).

cnf(refute_0_1217,plain,
    join(zero,composition(X_77,complement(converse(composition(top,X_77))))) = zero,
    inference(resolve,[$cnf( $equal(join(complement(top),composition(X_77,complement(converse(composition(top,X_77))))),complement(converse(top))) )],[refute_0_1200,refute_0_1216]) ).

cnf(refute_0_1218,plain,
    join(zero,composition(X_77,complement(converse(composition(top,X_77))))) = composition(X_77,complement(converse(composition(top,X_77)))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(composition(X_77,complement(converse(composition(top,X_77))))))]]) ).

cnf(refute_0_1219,plain,
    ( join(zero,composition(X_77,complement(converse(composition(top,X_77))))) != composition(X_77,complement(converse(composition(top,X_77))))
    | join(zero,composition(X_77,complement(converse(composition(top,X_77))))) != zero
    | composition(X_77,complement(converse(composition(top,X_77)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X_77,complement(converse(composition(top,X_77))))),zero) ),[0],$fot(composition(X_77,complement(converse(composition(top,X_77)))))]]) ).

cnf(refute_0_1220,plain,
    ( join(zero,composition(X_77,complement(converse(composition(top,X_77))))) != zero
    | composition(X_77,complement(converse(composition(top,X_77)))) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(X_77,complement(converse(composition(top,X_77))))),composition(X_77,complement(converse(composition(top,X_77))))) )],[refute_0_1218,refute_0_1219]) ).

cnf(refute_0_1221,plain,
    composition(X_77,complement(converse(composition(top,X_77)))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(X_77,complement(converse(composition(top,X_77))))),zero) )],[refute_0_1217,refute_0_1220]) ).

cnf(refute_0_1222,plain,
    composition(X0,complement(converse(composition(top,X0)))) = zero,
    inference(subst,[],[refute_0_1221:[bind(X_77,$fot(X0))]]) ).

cnf(refute_0_1223,plain,
    ( composition(X0,complement(converse(composition(top,X0)))) != zero
    | composition(X0,composition(complement(converse(composition(top,X0))),X2)) != composition(composition(X0,complement(converse(composition(top,X0)))),X2)
    | composition(X0,composition(complement(converse(composition(top,X0))),X2)) = composition(zero,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(complement(converse(composition(top,X0))),X2)),composition(composition(X0,complement(converse(composition(top,X0)))),X2)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1224,plain,
    ( composition(X0,composition(complement(converse(composition(top,X0))),X2)) != composition(composition(X0,complement(converse(composition(top,X0)))),X2)
    | composition(X0,composition(complement(converse(composition(top,X0))),X2)) = composition(zero,X2) ),
    inference(resolve,[$cnf( $equal(composition(X0,complement(converse(composition(top,X0)))),zero) )],[refute_0_1222,refute_0_1223]) ).

cnf(refute_0_1225,plain,
    composition(X0,composition(complement(converse(composition(top,X0))),X2)) = composition(zero,X2),
    inference(resolve,[$cnf( $equal(composition(X0,composition(complement(converse(composition(top,X0))),X2)),composition(composition(X0,complement(converse(composition(top,X0)))),X2)) )],[refute_0_1196,refute_0_1224]) ).

cnf(refute_0_1226,plain,
    converse(composition(converse(X0),zero)) = composition(converse(zero),X0),
    inference(subst,[],[refute_0_81:[bind(X_24,$fot(zero))]]) ).

cnf(refute_0_1227,plain,
    composition(X0,composition(top,complement(composition(top,top)))) = composition(composition(X0,top),complement(composition(top,top))),
    inference(subst,[],[refute_0_1188:[bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).

cnf(refute_0_1228,plain,
    join(complement(converse(top)),composition(top,complement(converse(composition(top,top))))) = complement(converse(top)),
    inference(subst,[],[refute_0_31:[bind(X_23,$fot(top)),bind(X_24,$fot(top))]]) ).

cnf(refute_0_1229,plain,
    converse(composition(X_23,converse(X0))) = composition(converse(converse(X0)),converse(X_23)),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(X_23)),bind(X1,$fot(converse(X0)))]]) ).

cnf(refute_0_1230,plain,
    ( converse(composition(X_23,converse(X0))) != composition(converse(converse(X0)),converse(X_23))
    | converse(converse(X0)) != X0
    | converse(composition(X_23,converse(X0))) = composition(X0,converse(X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_23,converse(X0))),composition(converse(converse(X0)),converse(X_23))) ),[1,0],$fot(X0)]]) ).

cnf(refute_0_1231,plain,
    ( converse(composition(X_23,converse(X0))) != composition(converse(converse(X0)),converse(X_23))
    | converse(composition(X_23,converse(X0))) = composition(X0,converse(X_23)) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_19,refute_0_1230]) ).

cnf(refute_0_1232,plain,
    converse(composition(X_23,converse(X0))) = composition(X0,converse(X_23)),
    inference(resolve,[$cnf( $equal(converse(composition(X_23,converse(X0))),composition(converse(converse(X0)),converse(X_23))) )],[refute_0_1229,refute_0_1231]) ).

cnf(refute_0_1233,plain,
    converse(composition(X_23,converse(top))) = composition(top,converse(X_23)),
    inference(subst,[],[refute_0_1232:[bind(X0,$fot(top))]]) ).

cnf(refute_0_1234,plain,
    ( converse(composition(X_23,converse(top))) != composition(top,converse(X_23))
    | converse(top) != top
    | converse(composition(X_23,top)) = composition(top,converse(X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_23,converse(top))),composition(top,converse(X_23))) ),[0,0,1],$fot(top)]]) ).

cnf(refute_0_1235,plain,
    ( converse(composition(X_23,converse(top))) != composition(top,converse(X_23))
    | converse(composition(X_23,top)) = composition(top,converse(X_23)) ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_1234]) ).

cnf(refute_0_1236,plain,
    converse(composition(X_23,top)) = composition(top,converse(X_23)),
    inference(resolve,[$cnf( $equal(converse(composition(X_23,converse(top))),composition(top,converse(X_23))) )],[refute_0_1233,refute_0_1235]) ).

cnf(refute_0_1237,plain,
    converse(composition(top,top)) = composition(top,converse(top)),
    inference(subst,[],[refute_0_1236:[bind(X_23,$fot(top))]]) ).

cnf(refute_0_1238,plain,
    ( converse(composition(top,top)) != composition(top,converse(top))
    | converse(top) != top
    | converse(composition(top,top)) = composition(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,top)),composition(top,converse(top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1239,plain,
    ( converse(composition(top,top)) != composition(top,converse(top))
    | converse(composition(top,top)) = composition(top,top) ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_1238]) ).

cnf(refute_0_1240,plain,
    converse(composition(top,top)) = composition(top,top),
    inference(resolve,[$cnf( $equal(converse(composition(top,top)),composition(top,converse(top))) )],[refute_0_1237,refute_0_1239]) ).

cnf(refute_0_1241,plain,
    ( converse(composition(top,top)) != composition(top,top)
    | join(complement(converse(top)),composition(top,complement(converse(composition(top,top))))) != complement(converse(top))
    | join(complement(converse(top)),composition(top,complement(composition(top,top)))) = complement(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(top,complement(converse(composition(top,top))))),complement(converse(top))) ),[0,1,1,0],$fot(composition(top,top))]]) ).

cnf(refute_0_1242,plain,
    ( join(complement(converse(top)),composition(top,complement(converse(composition(top,top))))) != complement(converse(top))
    | join(complement(converse(top)),composition(top,complement(composition(top,top)))) = complement(converse(top)) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,top)),composition(top,top)) )],[refute_0_1240,refute_0_1241]) ).

cnf(refute_0_1243,plain,
    join(complement(converse(top)),composition(top,complement(composition(top,top)))) = complement(converse(top)),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(top,complement(converse(composition(top,top))))),complement(converse(top))) )],[refute_0_1228,refute_0_1242]) ).

cnf(refute_0_1244,plain,
    join(complement(converse(top)),composition(top,complement(composition(top,top)))) = join(complement(converse(top)),composition(top,complement(composition(top,top)))),
    introduced(tautology,[refl,[$fot(join(complement(converse(top)),composition(top,complement(composition(top,top)))))]]) ).

cnf(refute_0_1245,plain,
    ( complement(converse(top)) != zero
    | join(complement(converse(top)),composition(top,complement(composition(top,top)))) != join(complement(converse(top)),composition(top,complement(composition(top,top))))
    | join(complement(converse(top)),composition(top,complement(composition(top,top)))) = join(zero,composition(top,complement(composition(top,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(top,complement(composition(top,top)))),join(complement(converse(top)),composition(top,complement(composition(top,top))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1246,plain,
    ( complement(converse(top)) != zero
    | join(complement(converse(top)),composition(top,complement(composition(top,top)))) = join(zero,composition(top,complement(composition(top,top)))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(top,complement(composition(top,top)))),join(complement(converse(top)),composition(top,complement(composition(top,top))))) )],[refute_0_1244,refute_0_1245]) ).

cnf(refute_0_1247,plain,
    join(complement(converse(top)),composition(top,complement(composition(top,top)))) = join(zero,composition(top,complement(composition(top,top)))),
    inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1213,refute_0_1246]) ).

cnf(refute_0_1248,plain,
    ( join(complement(converse(top)),composition(top,complement(composition(top,top)))) != complement(converse(top))
    | join(complement(converse(top)),composition(top,complement(composition(top,top)))) != join(zero,composition(top,complement(composition(top,top))))
    | join(zero,composition(top,complement(composition(top,top)))) = complement(converse(top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(top,complement(composition(top,top)))),complement(converse(top))) ),[0],$fot(join(zero,composition(top,complement(composition(top,top)))))]]) ).

cnf(refute_0_1249,plain,
    ( join(complement(converse(top)),composition(top,complement(composition(top,top)))) != complement(converse(top))
    | join(zero,composition(top,complement(composition(top,top)))) = complement(converse(top)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(top,complement(composition(top,top)))),join(zero,composition(top,complement(composition(top,top))))) )],[refute_0_1247,refute_0_1248]) ).

cnf(refute_0_1250,plain,
    ( complement(converse(top)) != zero
    | join(zero,composition(top,complement(composition(top,top)))) != complement(converse(top))
    | join(zero,composition(top,complement(composition(top,top)))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),complement(converse(top))) ),[1],$fot(zero)]]) ).

cnf(refute_0_1251,plain,
    ( join(zero,composition(top,complement(composition(top,top)))) != complement(converse(top))
    | join(zero,composition(top,complement(composition(top,top)))) = zero ),
    inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1213,refute_0_1250]) ).

cnf(refute_0_1252,plain,
    ( join(complement(converse(top)),composition(top,complement(composition(top,top)))) != complement(converse(top))
    | join(zero,composition(top,complement(composition(top,top)))) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),complement(converse(top))) )],[refute_0_1249,refute_0_1251]) ).

cnf(refute_0_1253,plain,
    join(zero,composition(top,complement(composition(top,top)))) = zero,
    inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(top,complement(composition(top,top)))),complement(converse(top))) )],[refute_0_1243,refute_0_1252]) ).

cnf(refute_0_1254,plain,
    join(zero,composition(top,complement(composition(top,top)))) = composition(top,complement(composition(top,top))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(composition(top,complement(composition(top,top)))))]]) ).

cnf(refute_0_1255,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_1256,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_1254,refute_0_1255]) ).

cnf(refute_0_1257,plain,
    composition(top,complement(composition(top,top))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) )],[refute_0_1253,refute_0_1256]) ).

cnf(refute_0_1258,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_1259,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_1257,refute_0_1258]) ).

cnf(refute_0_1260,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_1227,refute_0_1259]) ).

cnf(refute_0_1261,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_76:[bind(X0,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).

cnf(refute_0_1262,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_1263,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_1257,refute_0_1262]) ).

cnf(refute_0_1264,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_1261,refute_0_1263]) ).

cnf(refute_0_1265,plain,
    join(top,X1) = top,
    inference(subst,[],[refute_0_803:[bind(X_41,$fot(X1))]]) ).

cnf(refute_0_1266,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_1267,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_1268,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_1266,refute_0_1267]) ).

cnf(refute_0_1269,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_1265,refute_0_1268]) ).

cnf(refute_0_1270,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_172:[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_1271,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_1269,refute_0_1270]) ).

cnf(refute_0_1272,plain,
    composition(join(top,X1),complement(composition(top,top))) = zero,
    inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1257,refute_0_1271]) ).

cnf(refute_0_1273,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_1274,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_1272,refute_0_1273]) ).

cnf(refute_0_1275,plain,
    join(zero,composition(X1,complement(composition(top,top)))) = composition(X1,complement(composition(top,top))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(composition(X1,complement(composition(top,top)))))]]) ).

cnf(refute_0_1276,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_1277,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_1275,refute_0_1276]) ).

cnf(refute_0_1278,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_1274,refute_0_1277]) ).

cnf(refute_0_1279,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_1264,refute_0_1278]) ).

cnf(refute_0_1280,plain,
    ( zero != composition(X1,complement(composition(top,top)))
    | composition(X1,complement(composition(top,top))) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(X1,complement(composition(top,top)))))]]) ).

cnf(refute_0_1281,plain,
    composition(X1,complement(composition(top,top))) = zero,
    inference(resolve,[$cnf( $equal(zero,composition(X1,complement(composition(top,top)))) )],[refute_0_1279,refute_0_1280]) ).

cnf(refute_0_1282,plain,
    composition(composition(X0,top),complement(composition(top,top))) = zero,
    inference(subst,[],[refute_0_1281:[bind(X1,$fot(composition(X0,top)))]]) ).

cnf(refute_0_1283,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_1284,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_1282,refute_0_1283]) ).

cnf(refute_0_1285,plain,
    composition(X0,zero) = zero,
    inference(resolve,[$cnf( $equal(composition(X0,zero),composition(composition(X0,top),complement(composition(top,top)))) )],[refute_0_1260,refute_0_1284]) ).

cnf(refute_0_1286,plain,
    composition(converse(X0),zero) = zero,
    inference(subst,[],[refute_0_1285:[bind(X0,$fot(converse(X0)))]]) ).

cnf(refute_0_1287,plain,
    ( composition(converse(X0),zero) != zero
    | converse(composition(converse(X0),zero)) != composition(converse(zero),X0)
    | converse(zero) = composition(converse(zero),X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),zero)),composition(converse(zero),X0)) ),[0,0],$fot(zero)]]) ).

cnf(refute_0_1288,plain,
    ( converse(composition(converse(X0),zero)) != composition(converse(zero),X0)
    | converse(zero) = composition(converse(zero),X0) ),
    inference(resolve,[$cnf( $equal(composition(converse(X0),zero),zero) )],[refute_0_1286,refute_0_1287]) ).

cnf(refute_0_1289,plain,
    converse(zero) = composition(converse(zero),X0),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X0),zero)),composition(converse(zero),X0)) )],[refute_0_1226,refute_0_1288]) ).

cnf(refute_0_1290,plain,
    ( converse(zero) != composition(converse(zero),X0)
    | converse(zero) != zero
    | zero = composition(converse(zero),X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(zero),X0)) ),[0],$fot(zero)]]) ).

cnf(refute_0_1291,plain,
    ( converse(zero) != composition(converse(zero),X0)
    | zero = composition(converse(zero),X0) ),
    inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1090,refute_0_1290]) ).

cnf(refute_0_1292,plain,
    composition(converse(zero),X0) = composition(converse(zero),X0),
    introduced(tautology,[refl,[$fot(composition(converse(zero),X0))]]) ).

cnf(refute_0_1293,plain,
    ( composition(converse(zero),X0) != composition(converse(zero),X0)
    | converse(zero) != zero
    | composition(converse(zero),X0) = composition(zero,X0) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(zero),X0),composition(converse(zero),X0)) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1294,plain,
    ( converse(zero) != zero
    | composition(converse(zero),X0) = composition(zero,X0) ),
    inference(resolve,[$cnf( $equal(composition(converse(zero),X0),composition(converse(zero),X0)) )],[refute_0_1292,refute_0_1293]) ).

cnf(refute_0_1295,plain,
    composition(converse(zero),X0) = composition(zero,X0),
    inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1090,refute_0_1294]) ).

cnf(refute_0_1296,plain,
    ( composition(converse(zero),X0) != composition(zero,X0)
    | zero != composition(converse(zero),X0)
    | zero = composition(zero,X0) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(zero),X0)) ),[1],$fot(composition(zero,X0))]]) ).

cnf(refute_0_1297,plain,
    ( zero != composition(converse(zero),X0)
    | zero = composition(zero,X0) ),
    inference(resolve,[$cnf( $equal(composition(converse(zero),X0),composition(zero,X0)) )],[refute_0_1295,refute_0_1296]) ).

cnf(refute_0_1298,plain,
    ( converse(zero) != composition(converse(zero),X0)
    | zero = composition(zero,X0) ),
    inference(resolve,[$cnf( $equal(zero,composition(converse(zero),X0)) )],[refute_0_1291,refute_0_1297]) ).

cnf(refute_0_1299,plain,
    zero = composition(zero,X0),
    inference(resolve,[$cnf( $equal(converse(zero),composition(converse(zero),X0)) )],[refute_0_1289,refute_0_1298]) ).

cnf(refute_0_1300,plain,
    ( zero != composition(zero,X0)
    | composition(zero,X0) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(zero,X0)))]]) ).

cnf(refute_0_1301,plain,
    composition(zero,X0) = zero,
    inference(resolve,[$cnf( $equal(zero,composition(zero,X0)) )],[refute_0_1299,refute_0_1300]) ).

cnf(refute_0_1302,plain,
    composition(zero,X2) = zero,
    inference(subst,[],[refute_0_1301:[bind(X0,$fot(X2))]]) ).

cnf(refute_0_1303,plain,
    ( composition(X0,composition(complement(converse(composition(top,X0))),X2)) != composition(zero,X2)
    | composition(zero,X2) != zero
    | composition(X0,composition(complement(converse(composition(top,X0))),X2)) = zero ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,composition(complement(converse(composition(top,X0))),X2)),zero) ),[0],$fot(composition(zero,X2))]]) ).

cnf(refute_0_1304,plain,
    ( composition(X0,composition(complement(converse(composition(top,X0))),X2)) != composition(zero,X2)
    | composition(X0,composition(complement(converse(composition(top,X0))),X2)) = zero ),
    inference(resolve,[$cnf( $equal(composition(zero,X2),zero) )],[refute_0_1302,refute_0_1303]) ).

cnf(refute_0_1305,plain,
    composition(X0,composition(complement(converse(composition(top,X0))),X2)) = zero,
    inference(resolve,[$cnf( $equal(composition(X0,composition(complement(converse(composition(top,X0))),X2)),composition(zero,X2)) )],[refute_0_1225,refute_0_1304]) ).

cnf(refute_0_1306,plain,
    composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),composition(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),top)) = zero,
    inference(subst,[],[refute_0_1305:[bind(X0,$fot(composition(complement(one),meet(one,complement(composition(top,complement(one))))))),bind(X2,$fot(top))]]) ).

cnf(refute_0_1307,plain,
    join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))) = complement(zero),
    inference(subst,[],[refute_0_10:[bind(X1,$fot(zero))]]) ).

cnf(refute_0_1308,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_1309,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_1285,refute_0_1308]) ).

cnf(refute_0_1310,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_1307,refute_0_1309]) ).

cnf(refute_0_1311,plain,
    converse(composition(converse(top),X_24)) = composition(converse(X_24),top),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(top))]]) ).

cnf(refute_0_1312,plain,
    ( converse(composition(converse(top),X_24)) != composition(converse(X_24),top)
    | converse(top) != top
    | converse(composition(top,X_24)) = composition(converse(X_24),top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_24)),composition(converse(X_24),top)) ),[0,0,0],$fot(top)]]) ).

cnf(refute_0_1313,plain,
    ( converse(composition(converse(top),X_24)) != composition(converse(X_24),top)
    | converse(composition(top,X_24)) = composition(converse(X_24),top) ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_1312]) ).

cnf(refute_0_1314,plain,
    converse(composition(top,X_24)) = composition(converse(X_24),top),
    inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_24)),composition(converse(X_24),top)) )],[refute_0_1311,refute_0_1313]) ).

cnf(refute_0_1315,plain,
    ( converse(composition(top,X_24)) != composition(converse(X_24),top)
    | composition(converse(X_24),top) = converse(composition(top,X_24)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(top,X_24)))),bind(Y,$fot(composition(converse(X_24),top)))]]) ).

cnf(refute_0_1316,plain,
    composition(converse(X_24),top) = converse(composition(top,X_24)),
    inference(resolve,[$cnf( $equal(converse(composition(top,X_24)),composition(converse(X_24),top)) )],[refute_0_1314,refute_0_1315]) ).

cnf(refute_0_1317,plain,
    composition(converse(join(one,X0)),top) = converse(composition(top,join(one,X0))),
    inference(subst,[],[refute_0_1316:[bind(X_24,$fot(join(one,X0)))]]) ).

cnf(refute_0_1318,plain,
    top = join(zero,meet(top,top)),
    inference(subst,[],[refute_0_274:[bind(X_85,$fot(top))]]) ).

cnf(refute_0_1319,plain,
    ( meet(top,top) != complement(complement(top))
    | top != join(zero,meet(top,top))
    | top = join(zero,complement(complement(top))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,top))) ),[1,1],$fot(complement(complement(top)))]]) ).

cnf(refute_0_1320,plain,
    ( top != join(zero,meet(top,top))
    | top = join(zero,complement(complement(top))) ),
    inference(resolve,[$cnf( $equal(meet(top,top),complement(complement(top))) )],[refute_0_741,refute_0_1319]) ).

cnf(refute_0_1321,plain,
    top = join(zero,complement(complement(top))),
    inference(resolve,[$cnf( $equal(top,join(zero,meet(top,top))) )],[refute_0_1318,refute_0_1320]) ).

cnf(refute_0_1322,plain,
    join(zero,complement(complement(top))) = complement(complement(top)),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(complement(complement(top))))]]) ).

cnf(refute_0_1323,plain,
    ( complement(complement(top)) != complement(zero)
    | join(zero,complement(complement(top))) != complement(complement(top))
    | join(zero,complement(complement(top))) = complement(zero) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(zero,complement(complement(top))))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).

cnf(refute_0_1324,plain,
    ( complement(complement(top)) != complement(zero)
    | join(zero,complement(complement(top))) = complement(zero) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(complement(top))),complement(complement(top))) )],[refute_0_1322,refute_0_1323]) ).

cnf(refute_0_1325,plain,
    join(zero,complement(complement(top))) = complement(zero),
    inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_736,refute_0_1324]) ).

cnf(refute_0_1326,plain,
    ( join(zero,complement(complement(top))) != complement(zero)
    | top != join(zero,complement(complement(top)))
    | top = complement(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(complement(top)))) ),[1],$fot(complement(zero))]]) ).

cnf(refute_0_1327,plain,
    ( top != join(zero,complement(complement(top)))
    | top = complement(zero) ),
    inference(resolve,[$cnf( $equal(join(zero,complement(complement(top))),complement(zero)) )],[refute_0_1325,refute_0_1326]) ).

cnf(refute_0_1328,plain,
    top = complement(zero),
    inference(resolve,[$cnf( $equal(top,join(zero,complement(complement(top)))) )],[refute_0_1321,refute_0_1327]) ).

cnf(refute_0_1329,plain,
    ( top != complement(zero)
    | complement(zero) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).

cnf(refute_0_1330,plain,
    complement(zero) = top,
    inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_0_1328,refute_0_1329]) ).

cnf(refute_0_1331,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_1332,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_1333,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_1331,refute_0_1332]) ).

cnf(refute_0_1334,plain,
    composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),top),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1330,refute_0_1333]) ).

cnf(refute_0_1335,plain,
    converse(join(converse(one),X_6)) = join(one,converse(X_6)),
    inference(subst,[],[refute_0_489:[bind(X0,$fot(one))]]) ).

cnf(refute_0_1336,plain,
    ( converse(join(converse(one),X_6)) != join(one,converse(X_6))
    | converse(one) != one
    | converse(join(one,X_6)) = join(one,converse(X_6)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_6)),join(one,converse(X_6))) ),[0,0,0],$fot(one)]]) ).

cnf(refute_0_1337,plain,
    ( converse(join(converse(one),X_6)) != join(one,converse(X_6))
    | converse(join(one,X_6)) = join(one,converse(X_6)) ),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_99,refute_0_1336]) ).

cnf(refute_0_1338,plain,
    converse(join(one,X_6)) = join(one,converse(X_6)),
    inference(resolve,[$cnf( $equal(converse(join(converse(one),X_6)),join(one,converse(X_6))) )],[refute_0_1335,refute_0_1337]) ).

cnf(refute_0_1339,plain,
    ( converse(join(one,X_6)) != join(one,converse(X_6))
    | join(one,converse(X_6)) = converse(join(one,X_6)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,X_6)))),bind(Y,$fot(join(one,converse(X_6))))]]) ).

cnf(refute_0_1340,plain,
    join(one,converse(X_6)) = converse(join(one,X_6)),
    inference(resolve,[$cnf( $equal(converse(join(one,X_6)),join(one,converse(X_6))) )],[refute_0_1338,refute_0_1339]) ).

cnf(refute_0_1341,plain,
    join(one,converse(X0)) = converse(join(one,X0)),
    inference(subst,[],[refute_0_1340:[bind(X_6,$fot(X0))]]) ).

cnf(refute_0_1342,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_1343,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_1344,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_1342,refute_0_1343]) ).

cnf(refute_0_1345,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_1341,refute_0_1344]) ).

cnf(refute_0_1346,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_172:[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_1347,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_1345,refute_0_1346]) ).

cnf(refute_0_1348,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_1334,refute_0_1347]) ).

cnf(refute_0_1349,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_172:[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_1350,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_1348,refute_0_1349]) ).

cnf(refute_0_1351,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_1317,refute_0_1350]) ).

cnf(refute_0_1352,plain,
    join(composition(X_68,X_69),composition(X_67,X_69)) = join(composition(X_67,X_69),composition(X_68,X_69)),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(composition(X_68,X_69))),bind(X1,$fot(composition(X_67,X_69)))]]) ).

cnf(refute_0_1353,plain,
    composition(join(X_67,X_68),X_69) = join(composition(X_67,X_69),composition(X_68,X_69)),
    inference(subst,[],[refute_0_76:[bind(X0,$fot(X_67)),bind(X1,$fot(X_68)),bind(X2,$fot(X_69))]]) ).

cnf(refute_0_1354,plain,
    ( composition(join(X_67,X_68),X_69) != join(composition(X_67,X_69),composition(X_68,X_69))
    | join(composition(X_67,X_69),composition(X_68,X_69)) = composition(join(X_67,X_68),X_69) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_67,X_68),X_69))),bind(Y,$fot(join(composition(X_67,X_69),composition(X_68,X_69))))]]) ).

cnf(refute_0_1355,plain,
    join(composition(X_67,X_69),composition(X_68,X_69)) = composition(join(X_67,X_68),X_69),
    inference(resolve,[$cnf( $equal(composition(join(X_67,X_68),X_69),join(composition(X_67,X_69),composition(X_68,X_69))) )],[refute_0_1353,refute_0_1354]) ).

cnf(refute_0_1356,plain,
    ( join(composition(X_67,X_69),composition(X_68,X_69)) != composition(join(X_67,X_68),X_69)
    | join(composition(X_68,X_69),composition(X_67,X_69)) != join(composition(X_67,X_69),composition(X_68,X_69))
    | join(composition(X_68,X_69),composition(X_67,X_69)) = composition(join(X_67,X_68),X_69) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(X_68,X_69),composition(X_67,X_69)),join(composition(X_67,X_69),composition(X_68,X_69))) ),[1],$fot(composition(join(X_67,X_68),X_69))]]) ).

cnf(refute_0_1357,plain,
    ( join(composition(X_68,X_69),composition(X_67,X_69)) != join(composition(X_67,X_69),composition(X_68,X_69))
    | join(composition(X_68,X_69),composition(X_67,X_69)) = composition(join(X_67,X_68),X_69) ),
    inference(resolve,[$cnf( $equal(join(composition(X_67,X_69),composition(X_68,X_69)),composition(join(X_67,X_68),X_69)) )],[refute_0_1355,refute_0_1356]) ).

cnf(refute_0_1358,plain,
    join(composition(X_68,X_69),composition(X_67,X_69)) = composition(join(X_67,X_68),X_69),
    inference(resolve,[$cnf( $equal(join(composition(X_68,X_69),composition(X_67,X_69)),join(composition(X_67,X_69),composition(X_68,X_69))) )],[refute_0_1352,refute_0_1357]) ).

cnf(refute_0_1359,plain,
    ( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
    | join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).

cnf(refute_0_1360,plain,
    join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
    inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_76,refute_0_1359]) ).

cnf(refute_0_1361,plain,
    join(composition(X_68,X_69),composition(X_67,X_69)) = composition(join(X_68,X_67),X_69),
    inference(subst,[],[refute_0_1360:[bind(X0,$fot(X_68)),bind(X1,$fot(X_67)),bind(X2,$fot(X_69))]]) ).

cnf(refute_0_1362,plain,
    ( join(composition(X_68,X_69),composition(X_67,X_69)) != composition(join(X_67,X_68),X_69)
    | join(composition(X_68,X_69),composition(X_67,X_69)) != composition(join(X_68,X_67),X_69)
    | composition(join(X_68,X_67),X_69) = composition(join(X_67,X_68),X_69) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(X_68,X_69),composition(X_67,X_69)),composition(join(X_67,X_68),X_69)) ),[0],$fot(composition(join(X_68,X_67),X_69))]]) ).

cnf(refute_0_1363,plain,
    ( join(composition(X_68,X_69),composition(X_67,X_69)) != composition(join(X_67,X_68),X_69)
    | composition(join(X_68,X_67),X_69) = composition(join(X_67,X_68),X_69) ),
    inference(resolve,[$cnf( $equal(join(composition(X_68,X_69),composition(X_67,X_69)),composition(join(X_68,X_67),X_69)) )],[refute_0_1361,refute_0_1362]) ).

cnf(refute_0_1364,plain,
    composition(join(X_68,X_67),X_69) = composition(join(X_67,X_68),X_69),
    inference(resolve,[$cnf( $equal(join(composition(X_68,X_69),composition(X_67,X_69)),composition(join(X_67,X_68),X_69)) )],[refute_0_1358,refute_0_1363]) ).

cnf(refute_0_1365,plain,
    ( composition(join(X_68,X_67),X_69) != composition(join(X_67,X_68),X_69)
    | composition(join(X_67,X_68),X_69) = composition(join(X_68,X_67),X_69) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_68,X_67),X_69))),bind(Y,$fot(composition(join(X_67,X_68),X_69)))]]) ).

cnf(refute_0_1366,plain,
    composition(join(X_67,X_68),X_69) = composition(join(X_68,X_67),X_69),
    inference(resolve,[$cnf( $equal(composition(join(X_68,X_67),X_69),composition(join(X_67,X_68),X_69)) )],[refute_0_1364,refute_0_1365]) ).

cnf(refute_0_1367,plain,
    composition(join(converse(X0),one),complement(zero)) = composition(join(one,converse(X0)),complement(zero)),
    inference(subst,[],[refute_0_1366:[bind(X_67,$fot(converse(X0))),bind(X_68,$fot(one)),bind(X_69,$fot(complement(zero)))]]) ).

cnf(refute_0_1368,plain,
    join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(converse(X0),one),complement(zero)),
    inference(subst,[],[refute_0_131:[bind(X_67,$fot(converse(X0))),bind(X_69,$fot(complement(zero)))]]) ).

cnf(refute_0_1369,plain,
    ( composition(join(converse(X0),one),complement(zero)) != composition(join(one,converse(X0)),complement(zero))
    | join(complement(zero),composition(converse(X0),complement(zero))) != composition(join(converse(X0),one),complement(zero))
    | join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(zero),composition(converse(X0),complement(zero))))),bind(Y,$fot(composition(join(converse(X0),one),complement(zero)))),bind(Z,$fot(composition(join(one,converse(X0)),complement(zero))))]]) ).

cnf(refute_0_1370,plain,
    ( composition(join(converse(X0),one),complement(zero)) != composition(join(one,converse(X0)),complement(zero))
    | join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),composition(join(converse(X0),one),complement(zero))) )],[refute_0_1368,refute_0_1369]) ).

cnf(refute_0_1371,plain,
    join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)),
    inference(resolve,[$cnf( $equal(composition(join(converse(X0),one),complement(zero)),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_1367,refute_0_1370]) ).

cnf(refute_0_1372,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_172:[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_1373,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_1371,refute_0_1372]) ).

cnf(refute_0_1374,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_1351,refute_0_1373]) ).

cnf(refute_0_1375,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_1376,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_1374,refute_0_1375]) ).

cnf(refute_0_1377,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_1378,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_1330,refute_0_1377]) ).

cnf(refute_0_1379,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_1376,refute_0_1378]) ).

cnf(refute_0_1380,plain,
    converse(composition(top,join(one,X0))) = top,
    inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),complement(zero)) )],[refute_0_1310,refute_0_1379]) ).

cnf(refute_0_1381,plain,
    converse(composition(top,join(one,converse(X_6)))) = top,
    inference(subst,[],[refute_0_1380:[bind(X0,$fot(converse(X_6)))]]) ).

cnf(refute_0_1382,plain,
    ( converse(composition(top,join(one,converse(X_6)))) != top
    | join(one,converse(X_6)) != converse(join(one,X_6))
    | converse(composition(top,converse(join(one,X_6)))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,converse(X_6)))),top) ),[0,0,1],$fot(converse(join(one,X_6)))]]) ).

cnf(refute_0_1383,plain,
    ( converse(composition(top,join(one,converse(X_6)))) != top
    | converse(composition(top,converse(join(one,X_6)))) = top ),
    inference(resolve,[$cnf( $equal(join(one,converse(X_6)),converse(join(one,X_6))) )],[refute_0_1340,refute_0_1382]) ).

cnf(refute_0_1384,plain,
    converse(composition(top,converse(join(one,X_6)))) = top,
    inference(resolve,[$cnf( $equal(converse(composition(top,join(one,converse(X_6)))),top) )],[refute_0_1381,refute_0_1383]) ).

cnf(refute_0_1385,plain,
    composition(join(one,X_6),converse(top)) = composition(join(one,X_6),converse(top)),
    introduced(tautology,[refl,[$fot(composition(join(one,X_6),converse(top)))]]) ).

cnf(refute_0_1386,plain,
    ( composition(join(one,X_6),converse(top)) != composition(join(one,X_6),converse(top))
    | converse(top) != top
    | composition(join(one,X_6),converse(top)) = composition(join(one,X_6),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,X_6),converse(top)),composition(join(one,X_6),converse(top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1387,plain,
    ( converse(top) != top
    | composition(join(one,X_6),converse(top)) = composition(join(one,X_6),top) ),
    inference(resolve,[$cnf( $equal(composition(join(one,X_6),converse(top)),composition(join(one,X_6),converse(top))) )],[refute_0_1385,refute_0_1386]) ).

cnf(refute_0_1388,plain,
    composition(join(one,X_6),converse(top)) = composition(join(one,X_6),top),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_1387]) ).

cnf(refute_0_1389,plain,
    converse(composition(top,converse(join(one,X_6)))) = composition(join(one,X_6),converse(top)),
    inference(subst,[],[refute_0_1232:[bind(X0,$fot(join(one,X_6))),bind(X_23,$fot(top))]]) ).

cnf(refute_0_1390,plain,
    ( composition(join(one,X_6),converse(top)) != composition(join(one,X_6),top)
    | converse(composition(top,converse(join(one,X_6)))) != composition(join(one,X_6),converse(top))
    | converse(composition(top,converse(join(one,X_6)))) = composition(join(one,X_6),top) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(composition(top,converse(join(one,X_6)))))),bind(Y,$fot(composition(join(one,X_6),converse(top)))),bind(Z,$fot(composition(join(one,X_6),top)))]]) ).

cnf(refute_0_1391,plain,
    ( composition(join(one,X_6),converse(top)) != composition(join(one,X_6),top)
    | converse(composition(top,converse(join(one,X_6)))) = composition(join(one,X_6),top) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,converse(join(one,X_6)))),composition(join(one,X_6),converse(top))) )],[refute_0_1389,refute_0_1390]) ).

cnf(refute_0_1392,plain,
    converse(composition(top,converse(join(one,X_6)))) = composition(join(one,X_6),top),
    inference(resolve,[$cnf( $equal(composition(join(one,X_6),converse(top)),composition(join(one,X_6),top)) )],[refute_0_1388,refute_0_1391]) ).

cnf(refute_0_1393,plain,
    ( converse(composition(top,converse(join(one,X_6)))) != composition(join(one,X_6),top)
    | converse(composition(top,converse(join(one,X_6)))) != top
    | composition(join(one,X_6),top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,converse(join(one,X_6)))),top) ),[0],$fot(composition(join(one,X_6),top))]]) ).

cnf(refute_0_1394,plain,
    ( converse(composition(top,converse(join(one,X_6)))) != top
    | composition(join(one,X_6),top) = top ),
    inference(resolve,[$cnf( $equal(converse(composition(top,converse(join(one,X_6)))),composition(join(one,X_6),top)) )],[refute_0_1392,refute_0_1393]) ).

cnf(refute_0_1395,plain,
    composition(join(one,X_6),top) = top,
    inference(resolve,[$cnf( $equal(converse(composition(top,converse(join(one,X_6)))),top) )],[refute_0_1384,refute_0_1394]) ).

cnf(refute_0_1396,plain,
    composition(join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))),top) = top,
    inference(subst,[],[refute_0_1395:[bind(X_6,$fot(meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))))]]) ).

cnf(refute_0_1397,plain,
    complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = join(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))),meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))),
    inference(subst,[],[refute_0_482:[bind(X_100,$fot(one)),bind(X_99,$fot(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))))]]) ).

cnf(refute_0_1398,plain,
    X_85 = join(meet(X_85,complement(X1)),complement(join(complement(X_85),complement(X1)))),
    inference(subst,[],[refute_0_201:[bind(X0,$fot(X_85)),bind(X1,$fot(complement(X1)))]]) ).

cnf(refute_0_1399,plain,
    meet(X_85,X1) = complement(join(complement(X_85),complement(X1))),
    inference(subst,[],[refute_0_148:[bind(X0,$fot(X_85))]]) ).

cnf(refute_0_1400,plain,
    ( meet(X_85,X1) != complement(join(complement(X_85),complement(X1)))
    | complement(join(complement(X_85),complement(X1))) = meet(X_85,X1) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_85,X1))),bind(Y,$fot(complement(join(complement(X_85),complement(X1)))))]]) ).

cnf(refute_0_1401,plain,
    complement(join(complement(X_85),complement(X1))) = meet(X_85,X1),
    inference(resolve,[$cnf( $equal(meet(X_85,X1),complement(join(complement(X_85),complement(X1)))) )],[refute_0_1399,refute_0_1400]) ).

cnf(refute_0_1402,plain,
    ( X_85 != join(meet(X_85,complement(X1)),complement(join(complement(X_85),complement(X1))))
    | complement(join(complement(X_85),complement(X1))) != meet(X_85,X1)
    | X_85 = join(meet(X_85,complement(X1)),meet(X_85,X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_85,join(meet(X_85,complement(X1)),complement(join(complement(X_85),complement(X1))))) ),[1,1],$fot(meet(X_85,X1))]]) ).

cnf(refute_0_1403,plain,
    ( X_85 != join(meet(X_85,complement(X1)),complement(join(complement(X_85),complement(X1))))
    | X_85 = join(meet(X_85,complement(X1)),meet(X_85,X1)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_85),complement(X1))),meet(X_85,X1)) )],[refute_0_1401,refute_0_1402]) ).

cnf(refute_0_1404,plain,
    X_85 = join(meet(X_85,complement(X1)),meet(X_85,X1)),
    inference(resolve,[$cnf( $equal(X_85,join(meet(X_85,complement(X1)),complement(join(complement(X_85),complement(X1))))) )],[refute_0_1398,refute_0_1403]) ).

cnf(refute_0_1405,plain,
    join(meet(X_85,complement(X1)),meet(X_85,X1)) = join(meet(X_85,X1),meet(X_85,complement(X1))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X_85,X1))),bind(X1,$fot(meet(X_85,complement(X1))))]]) ).

cnf(refute_0_1406,plain,
    ( X_85 != join(meet(X_85,complement(X1)),meet(X_85,X1))
    | join(meet(X_85,complement(X1)),meet(X_85,X1)) != join(meet(X_85,X1),meet(X_85,complement(X1)))
    | X_85 = join(meet(X_85,X1),meet(X_85,complement(X1))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_85,join(meet(X_85,X1),meet(X_85,complement(X1)))) ),[0],$fot(join(meet(X_85,complement(X1)),meet(X_85,X1)))]]) ).

cnf(refute_0_1407,plain,
    ( X_85 != join(meet(X_85,complement(X1)),meet(X_85,X1))
    | X_85 = join(meet(X_85,X1),meet(X_85,complement(X1))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_85,complement(X1)),meet(X_85,X1)),join(meet(X_85,X1),meet(X_85,complement(X1)))) )],[refute_0_1405,refute_0_1406]) ).

cnf(refute_0_1408,plain,
    X_85 = join(meet(X_85,X1),meet(X_85,complement(X1))),
    inference(resolve,[$cnf( $equal(X_85,join(meet(X_85,complement(X1)),meet(X_85,X1))) )],[refute_0_1404,refute_0_1407]) ).

cnf(refute_0_1409,plain,
    one = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))),
    inference(subst,[],[refute_0_1408:[bind(X1,$fot(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),bind(X_85,$fot(one))]]) ).

cnf(refute_0_1410,plain,
    converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))),
    inference(subst,[],[refute_0_847:[bind(X_100,$fot(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))]]) ).

cnf(refute_0_1411,plain,
    join(converse(join(X_123,X_124)),complement(converse(X_124))) = join(converse(X_123),join(converse(X_124),complement(converse(X_124)))),
    inference(subst,[],[refute_0_864:[bind(X0,$fot(X_123)),bind(X_10,$fot(X_124)),bind(X_9,$fot(complement(converse(X_124))))]]) ).

cnf(refute_0_1412,plain,
    top = join(converse(X_124),complement(converse(X_124))),
    inference(subst,[],[refute_0_158:[bind(X0,$fot(converse(X_124)))]]) ).

cnf(refute_0_1413,plain,
    ( top != join(converse(X_124),complement(converse(X_124)))
    | join(converse(X_124),complement(converse(X_124))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_124),complement(converse(X_124)))))]]) ).

cnf(refute_0_1414,plain,
    join(converse(X_124),complement(converse(X_124))) = top,
    inference(resolve,[$cnf( $equal(top,join(converse(X_124),complement(converse(X_124)))) )],[refute_0_1412,refute_0_1413]) ).

cnf(refute_0_1415,plain,
    ( join(converse(X_124),complement(converse(X_124))) != top
    | join(converse(join(X_123,X_124)),complement(converse(X_124))) != join(converse(X_123),join(converse(X_124),complement(converse(X_124))))
    | join(converse(join(X_123,X_124)),complement(converse(X_124))) = join(converse(X_123),top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_123,X_124)),complement(converse(X_124))),join(converse(X_123),join(converse(X_124),complement(converse(X_124))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1416,plain,
    ( join(converse(join(X_123,X_124)),complement(converse(X_124))) != join(converse(X_123),join(converse(X_124),complement(converse(X_124))))
    | join(converse(join(X_123,X_124)),complement(converse(X_124))) = join(converse(X_123),top) ),
    inference(resolve,[$cnf( $equal(join(converse(X_124),complement(converse(X_124))),top) )],[refute_0_1414,refute_0_1415]) ).

cnf(refute_0_1417,plain,
    join(converse(join(X_123,X_124)),complement(converse(X_124))) = join(converse(X_123),top),
    inference(resolve,[$cnf( $equal(join(converse(join(X_123,X_124)),complement(converse(X_124))),join(converse(X_123),join(converse(X_124),complement(converse(X_124))))) )],[refute_0_1411,refute_0_1416]) ).

cnf(refute_0_1418,plain,
    join(converse(join(X_123,X_124)),complement(converse(X_124))) = join(complement(converse(X_124)),converse(join(X_123,X_124))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(converse(X_124)))),bind(X1,$fot(converse(join(X_123,X_124))))]]) ).

cnf(refute_0_1419,plain,
    ( join(converse(join(X_123,X_124)),complement(converse(X_124))) != join(complement(converse(X_124)),converse(join(X_123,X_124)))
    | join(converse(join(X_123,X_124)),complement(converse(X_124))) != join(converse(X_123),top)
    | join(complement(converse(X_124)),converse(join(X_123,X_124))) = join(converse(X_123),top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_123,X_124)),complement(converse(X_124))),join(converse(X_123),top)) ),[0],$fot(join(complement(converse(X_124)),converse(join(X_123,X_124))))]]) ).

cnf(refute_0_1420,plain,
    ( join(converse(join(X_123,X_124)),complement(converse(X_124))) != join(converse(X_123),top)
    | join(complement(converse(X_124)),converse(join(X_123,X_124))) = join(converse(X_123),top) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X_123,X_124)),complement(converse(X_124))),join(complement(converse(X_124)),converse(join(X_123,X_124)))) )],[refute_0_1418,refute_0_1419]) ).

cnf(refute_0_1421,plain,
    ( join(complement(converse(X_124)),converse(join(X_123,X_124))) != join(converse(X_123),top)
    | join(converse(X_123),top) != top
    | join(complement(converse(X_124)),converse(join(X_123,X_124))) = top ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(converse(X_124)),converse(join(X_123,X_124))),top) ),[0],$fot(join(converse(X_123),top))]]) ).

cnf(refute_0_1422,plain,
    ( join(complement(converse(X_124)),converse(join(X_123,X_124))) != join(converse(X_123),top)
    | join(complement(converse(X_124)),converse(join(X_123,X_124))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(X_123),top),top) )],[refute_0_920,refute_0_1421]) ).

cnf(refute_0_1423,plain,
    ( join(converse(join(X_123,X_124)),complement(converse(X_124))) != join(converse(X_123),top)
    | join(complement(converse(X_124)),converse(join(X_123,X_124))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_124)),converse(join(X_123,X_124))),join(converse(X_123),top)) )],[refute_0_1420,refute_0_1422]) ).

cnf(refute_0_1424,plain,
    join(complement(converse(X_124)),converse(join(X_123,X_124))) = top,
    inference(resolve,[$cnf( $equal(join(converse(join(X_123,X_124)),complement(converse(X_124))),join(converse(X_123),top)) )],[refute_0_1417,refute_0_1423]) ).

cnf(refute_0_1425,plain,
    join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = top,
    inference(subst,[],[refute_0_1424:[bind(X_123,$fot(complement(one))),bind(X_124,$fot(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))]]) ).

cnf(refute_0_1426,plain,
    join(complement(one),composition(converse(join(converse(X0),X_6)),complement(join(converse(X0),X_6)))) = complement(one),
    inference(subst,[],[refute_0_38:[bind(X_14,$fot(join(converse(X0),X_6)))]]) ).

cnf(refute_0_1427,plain,
    ( converse(join(converse(X0),X_6)) != join(X0,converse(X_6))
    | join(complement(one),composition(converse(join(converse(X0),X_6)),complement(join(converse(X0),X_6)))) != complement(one)
    | join(complement(one),composition(join(X0,converse(X_6)),complement(join(converse(X0),X_6)))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(converse(X0),X_6)),complement(join(converse(X0),X_6)))),complement(one)) ),[0,1,0],$fot(join(X0,converse(X_6)))]]) ).

cnf(refute_0_1428,plain,
    ( join(complement(one),composition(converse(join(converse(X0),X_6)),complement(join(converse(X0),X_6)))) != complement(one)
    | join(complement(one),composition(join(X0,converse(X_6)),complement(join(converse(X0),X_6)))) = complement(one) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_6)),join(X0,converse(X_6))) )],[refute_0_489,refute_0_1427]) ).

cnf(refute_0_1429,plain,
    join(complement(one),composition(join(X0,converse(X_6)),complement(join(converse(X0),X_6)))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(converse(X0),X_6)),complement(join(converse(X0),X_6)))),complement(one)) )],[refute_0_1426,refute_0_1428]) ).

cnf(refute_0_1430,plain,
    join(complement(one),composition(join(X_136,converse(complement(one))),complement(join(converse(X_136),complement(one))))) = complement(one),
    inference(subst,[],[refute_0_1429:[bind(X0,$fot(X_136)),bind(X_6,$fot(complement(one)))]]) ).

cnf(refute_0_1431,plain,
    converse(join(converse(complement(one)),complement(one))) = converse(join(complement(one),converse(complement(one)))),
    inference(subst,[],[refute_0_54:[bind(X0,$fot(converse(complement(one)))),bind(X1,$fot(complement(one)))]]) ).

cnf(refute_0_1432,plain,
    join(complement(one),composition(converse(join(X_17,X_18)),complement(join(X_17,X_18)))) = complement(one),
    inference(subst,[],[refute_0_38:[bind(X_14,$fot(join(X_17,X_18)))]]) ).

cnf(refute_0_1433,plain,
    ( converse(join(X_17,X_18)) != converse(join(X_18,X_17))
    | join(complement(one),composition(converse(join(X_17,X_18)),complement(join(X_17,X_18)))) != complement(one)
    | join(complement(one),composition(converse(join(X_18,X_17)),complement(join(X_17,X_18)))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(X_17,X_18)),complement(join(X_17,X_18)))),complement(one)) ),[0,1,0],$fot(converse(join(X_18,X_17)))]]) ).

cnf(refute_0_1434,plain,
    ( join(complement(one),composition(converse(join(X_17,X_18)),complement(join(X_17,X_18)))) != complement(one)
    | join(complement(one),composition(converse(join(X_18,X_17)),complement(join(X_17,X_18)))) = complement(one) ),
    inference(resolve,[$cnf( $equal(converse(join(X_17,X_18)),converse(join(X_18,X_17))) )],[refute_0_569,refute_0_1433]) ).

cnf(refute_0_1435,plain,
    join(complement(one),composition(converse(join(X_18,X_17)),complement(join(X_17,X_18)))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(X_17,X_18)),complement(join(X_17,X_18)))),complement(one)) )],[refute_0_1432,refute_0_1434]) ).

cnf(refute_0_1436,plain,
    join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(join(complement(one),converse(zero))))) = complement(one),
    inference(subst,[],[refute_0_1435:[bind(X_17,$fot(complement(one))),bind(X_18,$fot(converse(zero)))]]) ).

cnf(refute_0_1437,plain,
    join(complement(one),composition(converse(zero),complement(zero))) = complement(one),
    inference(subst,[],[refute_0_38:[bind(X_14,$fot(zero))]]) ).

cnf(refute_0_1438,plain,
    ( complement(zero) != top
    | join(complement(one),composition(converse(zero),complement(zero))) != complement(one)
    | join(complement(one),composition(converse(zero),top)) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(zero),complement(zero))),complement(one)) ),[0,1,1],$fot(top)]]) ).

cnf(refute_0_1439,plain,
    ( join(complement(one),composition(converse(zero),complement(zero))) != complement(one)
    | join(complement(one),composition(converse(zero),top)) = complement(one) ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1330,refute_0_1438]) ).

cnf(refute_0_1440,plain,
    join(complement(one),composition(converse(zero),top)) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(zero),complement(zero))),complement(one)) )],[refute_0_1437,refute_0_1439]) ).

cnf(refute_0_1441,plain,
    composition(top,zero) = zero,
    inference(subst,[],[refute_0_1285:[bind(X0,$fot(top))]]) ).

cnf(refute_0_1442,plain,
    converse(composition(top,zero)) = converse(composition(top,zero)),
    introduced(tautology,[refl,[$fot(converse(composition(top,zero)))]]) ).

cnf(refute_0_1443,plain,
    ( composition(top,zero) != zero
    | converse(composition(top,zero)) != converse(composition(top,zero))
    | converse(composition(top,zero)) = converse(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,zero)),converse(composition(top,zero))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1444,plain,
    ( composition(top,zero) != zero
    | converse(composition(top,zero)) = converse(zero) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,zero)),converse(composition(top,zero))) )],[refute_0_1442,refute_0_1443]) ).

cnf(refute_0_1445,plain,
    converse(composition(top,zero)) = converse(zero),
    inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_1441,refute_0_1444]) ).

cnf(refute_0_1446,plain,
    composition(converse(zero),top) = converse(composition(top,zero)),
    inference(subst,[],[refute_0_1316:[bind(X_24,$fot(zero))]]) ).

cnf(refute_0_1447,plain,
    ( composition(converse(zero),top) != converse(composition(top,zero))
    | converse(composition(top,zero)) != converse(zero)
    | composition(converse(zero),top) = converse(zero) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(zero),top))),bind(Y,$fot(converse(composition(top,zero)))),bind(Z,$fot(converse(zero)))]]) ).

cnf(refute_0_1448,plain,
    ( converse(composition(top,zero)) != converse(zero)
    | composition(converse(zero),top) = converse(zero) ),
    inference(resolve,[$cnf( $equal(composition(converse(zero),top),converse(composition(top,zero))) )],[refute_0_1446,refute_0_1447]) ).

cnf(refute_0_1449,plain,
    composition(converse(zero),top) = converse(zero),
    inference(resolve,[$cnf( $equal(converse(composition(top,zero)),converse(zero)) )],[refute_0_1445,refute_0_1448]) ).

cnf(refute_0_1450,plain,
    join(complement(one),composition(converse(zero),top)) = join(complement(one),composition(converse(zero),top)),
    introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(zero),top)))]]) ).

cnf(refute_0_1451,plain,
    ( composition(converse(zero),top) != converse(zero)
    | join(complement(one),composition(converse(zero),top)) != join(complement(one),composition(converse(zero),top))
    | join(complement(one),composition(converse(zero),top)) = join(complement(one),converse(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(zero),top)),join(complement(one),composition(converse(zero),top))) ),[1,1],$fot(converse(zero))]]) ).

cnf(refute_0_1452,plain,
    ( composition(converse(zero),top) != converse(zero)
    | join(complement(one),composition(converse(zero),top)) = join(complement(one),converse(zero)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(zero),top)),join(complement(one),composition(converse(zero),top))) )],[refute_0_1450,refute_0_1451]) ).

cnf(refute_0_1453,plain,
    join(complement(one),composition(converse(zero),top)) = join(complement(one),converse(zero)),
    inference(resolve,[$cnf( $equal(composition(converse(zero),top),converse(zero)) )],[refute_0_1449,refute_0_1452]) ).

cnf(refute_0_1454,plain,
    ( join(complement(one),composition(converse(zero),top)) != complement(one)
    | join(complement(one),composition(converse(zero),top)) != join(complement(one),converse(zero))
    | join(complement(one),converse(zero)) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(zero),top)),complement(one)) ),[0],$fot(join(complement(one),converse(zero)))]]) ).

cnf(refute_0_1455,plain,
    ( join(complement(one),composition(converse(zero),top)) != complement(one)
    | join(complement(one),converse(zero)) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(zero),top)),join(complement(one),converse(zero))) )],[refute_0_1453,refute_0_1454]) ).

cnf(refute_0_1456,plain,
    join(complement(one),converse(zero)) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(zero),top)),complement(one)) )],[refute_0_1440,refute_0_1455]) ).

cnf(refute_0_1457,plain,
    ( join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(join(complement(one),converse(zero))))) != complement(one)
    | join(complement(one),converse(zero)) != complement(one)
    | join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(join(complement(one),converse(zero))))),complement(one)) ),[0,1,1,0],$fot(complement(one))]]) ).

cnf(refute_0_1458,plain,
    ( join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(join(complement(one),converse(zero))))) != complement(one)
    | join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(zero)),complement(one)) )],[refute_0_1456,refute_0_1457]) ).

cnf(refute_0_1459,plain,
    join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(join(complement(one),converse(zero))))),complement(one)) )],[refute_0_1436,refute_0_1458]) ).

cnf(refute_0_1460,plain,
    composition(converse(complement(one)),one) = converse(complement(one)),
    inference(subst,[],[refute_0_34:[bind(X0,$fot(converse(complement(one))))]]) ).

cnf(refute_0_1461,plain,
    complement(complement(one)) = one,
    inference(subst,[],[refute_0_1002:[bind(X1,$fot(one))]]) ).

cnf(refute_0_1462,plain,
    composition(converse(complement(one)),complement(complement(one))) = composition(converse(complement(one)),complement(complement(one))),
    introduced(tautology,[refl,[$fot(composition(converse(complement(one)),complement(complement(one))))]]) ).

cnf(refute_0_1463,plain,
    ( complement(complement(one)) != one
    | composition(converse(complement(one)),complement(complement(one))) != composition(converse(complement(one)),complement(complement(one)))
    | composition(converse(complement(one)),complement(complement(one))) = composition(converse(complement(one)),one) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(one)),complement(complement(one))),composition(converse(complement(one)),complement(complement(one)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_1464,plain,
    ( complement(complement(one)) != one
    | composition(converse(complement(one)),complement(complement(one))) = composition(converse(complement(one)),one) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(one)),complement(complement(one))),composition(converse(complement(one)),complement(complement(one)))) )],[refute_0_1462,refute_0_1463]) ).

cnf(refute_0_1465,plain,
    composition(converse(complement(one)),complement(complement(one))) = composition(converse(complement(one)),one),
    inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1461,refute_0_1464]) ).

cnf(refute_0_1466,plain,
    join(converse(complement(one)),zero) = converse(complement(one)),
    inference(subst,[],[refute_0_1130:[bind(X_60,$fot(converse(complement(one))))]]) ).

cnf(refute_0_1467,plain,
    converse(join(complement(one),converse(zero))) = join(converse(complement(one)),zero),
    inference(subst,[],[refute_0_501:[bind(X0,$fot(zero)),bind(X_5,$fot(complement(one)))]]) ).

cnf(refute_0_1468,plain,
    ( converse(join(complement(one),converse(zero))) != join(converse(complement(one)),zero)
    | join(converse(complement(one)),zero) != converse(complement(one))
    | converse(join(complement(one),converse(zero))) = converse(complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(join(complement(one),converse(zero))))),bind(Y,$fot(join(converse(complement(one)),zero))),bind(Z,$fot(converse(complement(one))))]]) ).

cnf(refute_0_1469,plain,
    ( join(converse(complement(one)),zero) != converse(complement(one))
    | converse(join(complement(one),converse(zero))) = converse(complement(one)) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(zero))),join(converse(complement(one)),zero)) )],[refute_0_1467,refute_0_1468]) ).

cnf(refute_0_1470,plain,
    converse(join(complement(one),converse(zero))) = converse(complement(one)),
    inference(resolve,[$cnf( $equal(join(converse(complement(one)),zero),converse(complement(one))) )],[refute_0_1466,refute_0_1469]) ).

cnf(refute_0_1471,plain,
    composition(converse(join(complement(one),converse(zero))),complement(complement(one))) = composition(converse(join(complement(one),converse(zero))),complement(complement(one))),
    introduced(tautology,[refl,[$fot(composition(converse(join(complement(one),converse(zero))),complement(complement(one))))]]) ).

cnf(refute_0_1472,plain,
    ( composition(converse(join(complement(one),converse(zero))),complement(complement(one))) != composition(converse(join(complement(one),converse(zero))),complement(complement(one)))
    | converse(join(complement(one),converse(zero))) != converse(complement(one))
    | composition(converse(join(complement(one),converse(zero))),complement(complement(one))) = composition(converse(complement(one)),complement(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(complement(one),converse(zero))),complement(complement(one))),composition(converse(join(complement(one),converse(zero))),complement(complement(one)))) ),[1,0],$fot(converse(complement(one)))]]) ).

cnf(refute_0_1473,plain,
    ( converse(join(complement(one),converse(zero))) != converse(complement(one))
    | composition(converse(join(complement(one),converse(zero))),complement(complement(one))) = composition(converse(complement(one)),complement(complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(converse(join(complement(one),converse(zero))),complement(complement(one))),composition(converse(join(complement(one),converse(zero))),complement(complement(one)))) )],[refute_0_1471,refute_0_1472]) ).

cnf(refute_0_1474,plain,
    composition(converse(join(complement(one),converse(zero))),complement(complement(one))) = composition(converse(complement(one)),complement(complement(one))),
    inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(zero))),converse(complement(one))) )],[refute_0_1470,refute_0_1473]) ).

cnf(refute_0_1475,plain,
    ( composition(converse(complement(one)),complement(complement(one))) != composition(converse(complement(one)),one)
    | composition(converse(join(complement(one),converse(zero))),complement(complement(one))) != composition(converse(complement(one)),complement(complement(one)))
    | composition(converse(join(complement(one),converse(zero))),complement(complement(one))) = composition(converse(complement(one)),one) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(join(complement(one),converse(zero))),complement(complement(one))))),bind(Y,$fot(composition(converse(complement(one)),complement(complement(one))))),bind(Z,$fot(composition(converse(complement(one)),one)))]]) ).

cnf(refute_0_1476,plain,
    ( composition(converse(complement(one)),complement(complement(one))) != composition(converse(complement(one)),one)
    | composition(converse(join(complement(one),converse(zero))),complement(complement(one))) = composition(converse(complement(one)),one) ),
    inference(resolve,[$cnf( $equal(composition(converse(join(complement(one),converse(zero))),complement(complement(one))),composition(converse(complement(one)),complement(complement(one)))) )],[refute_0_1474,refute_0_1475]) ).

cnf(refute_0_1477,plain,
    composition(converse(join(complement(one),converse(zero))),complement(complement(one))) = composition(converse(complement(one)),one),
    inference(resolve,[$cnf( $equal(composition(converse(complement(one)),complement(complement(one))),composition(converse(complement(one)),one)) )],[refute_0_1465,refute_0_1476]) ).

cnf(refute_0_1478,plain,
    ( composition(converse(complement(one)),one) != converse(complement(one))
    | composition(converse(join(complement(one),converse(zero))),complement(complement(one))) != composition(converse(complement(one)),one)
    | composition(converse(join(complement(one),converse(zero))),complement(complement(one))) = converse(complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(join(complement(one),converse(zero))),complement(complement(one))))),bind(Y,$fot(composition(converse(complement(one)),one))),bind(Z,$fot(converse(complement(one))))]]) ).

cnf(refute_0_1479,plain,
    ( composition(converse(complement(one)),one) != converse(complement(one))
    | composition(converse(join(complement(one),converse(zero))),complement(complement(one))) = converse(complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(converse(join(complement(one),converse(zero))),complement(complement(one))),composition(converse(complement(one)),one)) )],[refute_0_1477,refute_0_1478]) ).

cnf(refute_0_1480,plain,
    composition(converse(join(complement(one),converse(zero))),complement(complement(one))) = converse(complement(one)),
    inference(resolve,[$cnf( $equal(composition(converse(complement(one)),one),converse(complement(one))) )],[refute_0_1460,refute_0_1479]) ).

cnf(refute_0_1481,plain,
    converse(composition(converse(X_26),join(X1,X0))) = composition(converse(join(X1,X0)),X_26),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(X_26)),bind(X_24,$fot(join(X1,X0)))]]) ).

cnf(refute_0_1482,plain,
    ( converse(composition(converse(X_26),join(X1,X0))) != composition(converse(join(X1,X0)),X_26)
    | converse(join(X1,X0)) != converse(join(X0,X1))
    | converse(composition(converse(X_26),join(X1,X0))) = composition(converse(join(X0,X1)),X_26) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_26),join(X1,X0))),composition(converse(join(X1,X0)),X_26)) ),[1,0],$fot(converse(join(X0,X1)))]]) ).

cnf(refute_0_1483,plain,
    ( converse(composition(converse(X_26),join(X1,X0))) != composition(converse(join(X1,X0)),X_26)
    | converse(composition(converse(X_26),join(X1,X0))) = composition(converse(join(X0,X1)),X_26) ),
    inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_56,refute_0_1482]) ).

cnf(refute_0_1484,plain,
    converse(composition(converse(X_26),join(X1,X0))) = composition(converse(join(X0,X1)),X_26),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_26),join(X1,X0))),composition(converse(join(X1,X0)),X_26)) )],[refute_0_1481,refute_0_1483]) ).

cnf(refute_0_1485,plain,
    ( converse(composition(converse(X_26),join(X1,X0))) != composition(converse(join(X0,X1)),X_26)
    | converse(composition(converse(X_26),join(X1,X0))) != composition(converse(join(X1,X0)),X_26)
    | composition(converse(join(X1,X0)),X_26) = composition(converse(join(X0,X1)),X_26) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_26),join(X1,X0))),composition(converse(join(X0,X1)),X_26)) ),[0],$fot(composition(converse(join(X1,X0)),X_26))]]) ).

cnf(refute_0_1486,plain,
    ( converse(composition(converse(X_26),join(X1,X0))) != composition(converse(join(X0,X1)),X_26)
    | composition(converse(join(X1,X0)),X_26) = composition(converse(join(X0,X1)),X_26) ),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_26),join(X1,X0))),composition(converse(join(X1,X0)),X_26)) )],[refute_0_1481,refute_0_1485]) ).

cnf(refute_0_1487,plain,
    composition(converse(join(X1,X0)),X_26) = composition(converse(join(X0,X1)),X_26),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_26),join(X1,X0))),composition(converse(join(X0,X1)),X_26)) )],[refute_0_1484,refute_0_1486]) ).

cnf(refute_0_1488,plain,
    ( composition(converse(join(X1,X0)),X_26) != composition(converse(join(X0,X1)),X_26)
    | composition(converse(join(X0,X1)),X_26) = composition(converse(join(X1,X0)),X_26) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(converse(join(X1,X0)),X_26))),bind(Y,$fot(composition(converse(join(X0,X1)),X_26)))]]) ).

cnf(refute_0_1489,plain,
    composition(converse(join(X0,X1)),X_26) = composition(converse(join(X1,X0)),X_26),
    inference(resolve,[$cnf( $equal(composition(converse(join(X1,X0)),X_26),composition(converse(join(X0,X1)),X_26)) )],[refute_0_1487,refute_0_1488]) ).

cnf(refute_0_1490,plain,
    composition(converse(join(converse(zero),complement(one))),complement(complement(one))) = composition(converse(join(complement(one),converse(zero))),complement(complement(one))),
    inference(subst,[],[refute_0_1489:[bind(X0,$fot(converse(zero))),bind(X1,$fot(complement(one))),bind(X_26,$fot(complement(complement(one))))]]) ).

cnf(refute_0_1491,plain,
    ( composition(converse(join(complement(one),converse(zero))),complement(complement(one))) != converse(complement(one))
    | composition(converse(join(converse(zero),complement(one))),complement(complement(one))) != composition(converse(join(complement(one),converse(zero))),complement(complement(one)))
    | composition(converse(join(converse(zero),complement(one))),complement(complement(one))) = converse(complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(join(converse(zero),complement(one))),complement(complement(one))))),bind(Y,$fot(composition(converse(join(complement(one),converse(zero))),complement(complement(one))))),bind(Z,$fot(converse(complement(one))))]]) ).

cnf(refute_0_1492,plain,
    ( composition(converse(join(complement(one),converse(zero))),complement(complement(one))) != converse(complement(one))
    | composition(converse(join(converse(zero),complement(one))),complement(complement(one))) = converse(complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(converse(join(converse(zero),complement(one))),complement(complement(one))),composition(converse(join(complement(one),converse(zero))),complement(complement(one)))) )],[refute_0_1490,refute_0_1491]) ).

cnf(refute_0_1493,plain,
    composition(converse(join(converse(zero),complement(one))),complement(complement(one))) = converse(complement(one)),
    inference(resolve,[$cnf( $equal(composition(converse(join(complement(one),converse(zero))),complement(complement(one))),converse(complement(one))) )],[refute_0_1480,refute_0_1492]) ).

cnf(refute_0_1494,plain,
    join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) = join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))),
    introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))))]]) ).

cnf(refute_0_1495,plain,
    ( composition(converse(join(converse(zero),complement(one))),complement(complement(one))) != converse(complement(one))
    | join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) != join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one))))
    | join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) = join(complement(one),converse(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))),join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one))))) ),[1,1],$fot(converse(complement(one)))]]) ).

cnf(refute_0_1496,plain,
    ( composition(converse(join(converse(zero),complement(one))),complement(complement(one))) != converse(complement(one))
    | join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) = join(complement(one),converse(complement(one))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))),join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one))))) )],[refute_0_1494,refute_0_1495]) ).

cnf(refute_0_1497,plain,
    join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) = join(complement(one),converse(complement(one))),
    inference(resolve,[$cnf( $equal(composition(converse(join(converse(zero),complement(one))),complement(complement(one))),converse(complement(one))) )],[refute_0_1493,refute_0_1496]) ).

cnf(refute_0_1498,plain,
    ( join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) != complement(one)
    | join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) != join(complement(one),converse(complement(one)))
    | join(complement(one),converse(complement(one))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))),complement(one)) ),[0],$fot(join(complement(one),converse(complement(one))))]]) ).

cnf(refute_0_1499,plain,
    ( join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))) != complement(one)
    | join(complement(one),converse(complement(one))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))),join(complement(one),converse(complement(one)))) )],[refute_0_1497,refute_0_1498]) ).

cnf(refute_0_1500,plain,
    join(complement(one),converse(complement(one))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(converse(zero),complement(one))),complement(complement(one)))),complement(one)) )],[refute_0_1459,refute_0_1499]) ).

cnf(refute_0_1501,plain,
    ( converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
    | join(complement(one),converse(complement(one))) != complement(one)
    | converse(join(converse(complement(one)),complement(one))) = converse(complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) ),[1,0],$fot(complement(one))]]) ).

cnf(refute_0_1502,plain,
    ( converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
    | converse(join(converse(complement(one)),complement(one))) = converse(complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1500,refute_0_1501]) ).

cnf(refute_0_1503,plain,
    converse(join(converse(complement(one)),complement(one))) = converse(complement(one)),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) )],[refute_0_1431,refute_0_1502]) ).

cnf(refute_0_1504,plain,
    join(converse(complement(one)),complement(one)) = join(complement(one),converse(complement(one))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(complement(one))))]]) ).

cnf(refute_0_1505,plain,
    ( join(complement(one),converse(complement(one))) != complement(one)
    | join(converse(complement(one)),complement(one)) != join(complement(one),converse(complement(one)))
    | join(converse(complement(one)),complement(one)) = complement(one) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(complement(one)),complement(one)))),bind(Y,$fot(join(complement(one),converse(complement(one))))),bind(Z,$fot(complement(one)))]]) ).

cnf(refute_0_1506,plain,
    ( join(complement(one),converse(complement(one))) != complement(one)
    | join(converse(complement(one)),complement(one)) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(one)),join(complement(one),converse(complement(one)))) )],[refute_0_1504,refute_0_1505]) ).

cnf(refute_0_1507,plain,
    join(converse(complement(one)),complement(one)) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1500,refute_0_1506]) ).

cnf(refute_0_1508,plain,
    converse(join(complement(one),converse(complement(one)))) = join(converse(complement(one)),complement(one)),
    inference(subst,[],[refute_0_501:[bind(X0,$fot(complement(one))),bind(X_5,$fot(complement(one)))]]) ).

cnf(refute_0_1509,plain,
    ( converse(join(complement(one),converse(complement(one)))) != join(converse(complement(one)),complement(one))
    | join(converse(complement(one)),complement(one)) != complement(one)
    | converse(join(complement(one),converse(complement(one)))) = complement(one) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(join(complement(one),converse(complement(one)))))),bind(Y,$fot(join(converse(complement(one)),complement(one)))),bind(Z,$fot(complement(one)))]]) ).

cnf(refute_0_1510,plain,
    ( join(converse(complement(one)),complement(one)) != complement(one)
    | converse(join(complement(one),converse(complement(one)))) = complement(one) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(complement(one)))),join(converse(complement(one)),complement(one))) )],[refute_0_1508,refute_0_1509]) ).

cnf(refute_0_1511,plain,
    converse(join(complement(one),converse(complement(one)))) = complement(one),
    inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(one)),complement(one)) )],[refute_0_1507,refute_0_1510]) ).

cnf(refute_0_1512,plain,
    ( converse(join(complement(one),converse(complement(one)))) != complement(one)
    | converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
    | converse(join(converse(complement(one)),complement(one))) = complement(one) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(join(converse(complement(one)),complement(one))))),bind(Y,$fot(converse(join(complement(one),converse(complement(one)))))),bind(Z,$fot(complement(one)))]]) ).

cnf(refute_0_1513,plain,
    ( converse(join(complement(one),converse(complement(one)))) != complement(one)
    | converse(join(converse(complement(one)),complement(one))) = complement(one) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) )],[refute_0_1431,refute_0_1512]) ).

cnf(refute_0_1514,plain,
    converse(join(converse(complement(one)),complement(one))) = complement(one),
    inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(complement(one)))),complement(one)) )],[refute_0_1511,refute_0_1513]) ).

cnf(refute_0_1515,plain,
    ( converse(join(converse(complement(one)),complement(one))) != complement(one)
    | converse(join(converse(complement(one)),complement(one))) != converse(complement(one))
    | complement(one) = converse(complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(complement(one))) ),[0],$fot(complement(one))]]) ).

cnf(refute_0_1516,plain,
    ( converse(join(converse(complement(one)),complement(one))) != converse(complement(one))
    | complement(one) = converse(complement(one)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),complement(one)) )],[refute_0_1514,refute_0_1515]) ).

cnf(refute_0_1517,plain,
    complement(one) = converse(complement(one)),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(complement(one))) )],[refute_0_1503,refute_0_1516]) ).

cnf(refute_0_1518,plain,
    ( complement(one) != converse(complement(one))
    | converse(complement(one)) = complement(one) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(one))),bind(Y,$fot(converse(complement(one))))]]) ).

cnf(refute_0_1519,plain,
    converse(complement(one)) = complement(one),
    inference(resolve,[$cnf( $equal(complement(one),converse(complement(one))) )],[refute_0_1517,refute_0_1518]) ).

cnf(refute_0_1520,plain,
    ( converse(complement(one)) != complement(one)
    | join(complement(one),composition(join(X_136,converse(complement(one))),complement(join(converse(X_136),complement(one))))) != complement(one)
    | join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(X_136,converse(complement(one))),complement(join(converse(X_136),complement(one))))),complement(one)) ),[0,1,0,1],$fot(complement(one))]]) ).

cnf(refute_0_1521,plain,
    ( join(complement(one),composition(join(X_136,converse(complement(one))),complement(join(converse(X_136),complement(one))))) != complement(one)
    | join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1519,refute_0_1520]) ).

cnf(refute_0_1522,plain,
    join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(X_136,converse(complement(one))),complement(join(converse(X_136),complement(one))))),complement(one)) )],[refute_0_1430,refute_0_1521]) ).

cnf(refute_0_1523,plain,
    meet(complement(converse(X_136)),one) = meet(one,complement(converse(X_136))),
    inference(subst,[],[refute_0_839:[bind(X_19,$fot(one)),bind(X_20,$fot(complement(converse(X_136))))]]) ).

cnf(refute_0_1524,plain,
    complement(join(converse(X_136),complement(one))) = meet(complement(converse(X_136)),one),
    inference(subst,[],[refute_0_982:[bind(X1,$fot(one)),bind(X_32,$fot(converse(X_136)))]]) ).

cnf(refute_0_1525,plain,
    ( complement(join(converse(X_136),complement(one))) != meet(complement(converse(X_136)),one)
    | meet(complement(converse(X_136)),one) != meet(one,complement(converse(X_136)))
    | complement(join(converse(X_136),complement(one))) = meet(one,complement(converse(X_136))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(join(converse(X_136),complement(one))))),bind(Y,$fot(meet(complement(converse(X_136)),one))),bind(Z,$fot(meet(one,complement(converse(X_136)))))]]) ).

cnf(refute_0_1526,plain,
    ( meet(complement(converse(X_136)),one) != meet(one,complement(converse(X_136)))
    | complement(join(converse(X_136),complement(one))) = meet(one,complement(converse(X_136))) ),
    inference(resolve,[$cnf( $equal(complement(join(converse(X_136),complement(one))),meet(complement(converse(X_136)),one)) )],[refute_0_1524,refute_0_1525]) ).

cnf(refute_0_1527,plain,
    complement(join(converse(X_136),complement(one))) = meet(one,complement(converse(X_136))),
    inference(resolve,[$cnf( $equal(meet(complement(converse(X_136)),one),meet(one,complement(converse(X_136)))) )],[refute_0_1523,refute_0_1526]) ).

cnf(refute_0_1528,plain,
    composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))) = composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))),
    introduced(tautology,[refl,[$fot(composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))))]]) ).

cnf(refute_0_1529,plain,
    ( complement(join(converse(X_136),complement(one))) != meet(one,complement(converse(X_136)))
    | composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))) != composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))
    | composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))) = composition(join(X_136,complement(one)),meet(one,complement(converse(X_136)))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) ),[1,1],$fot(meet(one,complement(converse(X_136))))]]) ).

cnf(refute_0_1530,plain,
    ( complement(join(converse(X_136),complement(one))) != meet(one,complement(converse(X_136)))
    | composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))) = composition(join(X_136,complement(one)),meet(one,complement(converse(X_136)))) ),
    inference(resolve,[$cnf( $equal(composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) )],[refute_0_1528,refute_0_1529]) ).

cnf(refute_0_1531,plain,
    composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))) = composition(join(X_136,complement(one)),meet(one,complement(converse(X_136)))),
    inference(resolve,[$cnf( $equal(complement(join(converse(X_136),complement(one))),meet(one,complement(converse(X_136)))) )],[refute_0_1527,refute_0_1530]) ).

cnf(refute_0_1532,plain,
    join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) = join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))),
    introduced(tautology,[refl,[$fot(join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))))]]) ).

cnf(refute_0_1533,plain,
    ( composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))) != composition(join(X_136,complement(one)),meet(one,complement(converse(X_136))))
    | join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) != join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))))
    | join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) = join(complement(one),composition(join(X_136,complement(one)),meet(one,complement(converse(X_136))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))),join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))))) ),[1,1],$fot(composition(join(X_136,complement(one)),meet(one,complement(converse(X_136)))))]]) ).

cnf(refute_0_1534,plain,
    ( composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))) != composition(join(X_136,complement(one)),meet(one,complement(converse(X_136))))
    | join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) = join(complement(one),composition(join(X_136,complement(one)),meet(one,complement(converse(X_136))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))),join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))))) )],[refute_0_1532,refute_0_1533]) ).

cnf(refute_0_1535,plain,
    join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) = join(complement(one),composition(join(X_136,complement(one)),meet(one,complement(converse(X_136))))),
    inference(resolve,[$cnf( $equal(composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one)))),composition(join(X_136,complement(one)),meet(one,complement(converse(X_136))))) )],[refute_0_1531,refute_0_1534]) ).

cnf(refute_0_1536,plain,
    ( join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) != complement(one)
    | join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) != join(complement(one),composition(join(X_136,complement(one)),meet(one,complement(converse(X_136)))))
    | join(complement(one),composition(join(X_136,complement(one)),meet(one,complement(converse(X_136))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))),complement(one)) ),[0],$fot(join(complement(one),composition(join(X_136,complement(one)),meet(one,complement(converse(X_136))))))]]) ).

cnf(refute_0_1537,plain,
    ( join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))) != complement(one)
    | join(complement(one),composition(join(X_136,complement(one)),meet(one,complement(converse(X_136))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))),join(complement(one),composition(join(X_136,complement(one)),meet(one,complement(converse(X_136)))))) )],[refute_0_1535,refute_0_1536]) ).

cnf(refute_0_1538,plain,
    join(complement(one),composition(join(X_136,complement(one)),meet(one,complement(converse(X_136))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(X_136,complement(one)),complement(join(converse(X_136),complement(one))))),complement(one)) )],[refute_0_1522,refute_0_1537]) ).

cnf(refute_0_1539,plain,
    join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(converse(composition(top,complement(one))))))) = complement(one),
    inference(subst,[],[refute_0_1538:[bind(X_136,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_1540,plain,
    converse(converse(composition(complement(one),top))) = composition(complement(one),top),
    inference(subst,[],[refute_0_19:[bind(X0,$fot(composition(complement(one),top)))]]) ).

cnf(refute_0_1541,plain,
    converse(composition(complement(one),top)) = composition(top,converse(complement(one))),
    inference(subst,[],[refute_0_1236:[bind(X_23,$fot(complement(one)))]]) ).

cnf(refute_0_1542,plain,
    ( converse(complement(one)) != complement(one)
    | converse(composition(complement(one),top)) != composition(top,converse(complement(one)))
    | converse(composition(complement(one),top)) = composition(top,complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,converse(complement(one)))) ),[1,1],$fot(complement(one))]]) ).

cnf(refute_0_1543,plain,
    ( converse(composition(complement(one),top)) != composition(top,converse(complement(one)))
    | converse(composition(complement(one),top)) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1519,refute_0_1542]) ).

cnf(refute_0_1544,plain,
    converse(composition(complement(one),top)) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,converse(complement(one)))) )],[refute_0_1541,refute_0_1543]) ).

cnf(refute_0_1545,plain,
    ( converse(composition(complement(one),top)) != composition(top,complement(one))
    | converse(converse(composition(complement(one),top))) != composition(complement(one),top)
    | converse(composition(top,complement(one))) = composition(complement(one),top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(complement(one),top))),composition(complement(one),top)) ),[0,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_1546,plain,
    ( converse(converse(composition(complement(one),top))) != composition(complement(one),top)
    | converse(composition(top,complement(one))) = composition(complement(one),top) ),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_1544,refute_0_1545]) ).

cnf(refute_0_1547,plain,
    converse(composition(top,complement(one))) = composition(complement(one),top),
    inference(resolve,[$cnf( $equal(converse(converse(composition(complement(one),top))),composition(complement(one),top)) )],[refute_0_1540,refute_0_1546]) ).

cnf(refute_0_1548,plain,
    ( converse(composition(top,complement(one))) != composition(complement(one),top)
    | join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(converse(composition(top,complement(one))))))) != complement(one)
    | join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(converse(composition(top,complement(one))))))),complement(one)) ),[0,1,1,1,0],$fot(composition(complement(one),top))]]) ).

cnf(refute_0_1549,plain,
    ( join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(converse(composition(top,complement(one))))))) != complement(one)
    | join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_1547,refute_0_1548]) ).

cnf(refute_0_1550,plain,
    join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(converse(composition(top,complement(one))))))),complement(one)) )],[refute_0_1539,refute_0_1549]) ).

cnf(refute_0_1551,plain,
    ( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
    | composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).

cnf(refute_0_1552,plain,
    composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
    inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_0_1188,refute_0_1551]) ).

cnf(refute_0_1553,plain,
    composition(composition(top,complement(one)),meet(one,complement(composition(complement(one),top)))) = composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(top)),bind(X1,$fot(complement(one))),bind(X2,$fot(meet(one,complement(composition(complement(one),top)))))]]) ).

cnf(refute_0_1554,plain,
    join(one,top) = top,
    inference(subst,[],[refute_0_259:[bind(X_51,$fot(one))]]) ).

cnf(refute_0_1555,plain,
    composition(join(one,top),complement(one)) = composition(join(one,top),complement(one)),
    introduced(tautology,[refl,[$fot(composition(join(one,top),complement(one)))]]) ).

cnf(refute_0_1556,plain,
    ( composition(join(one,top),complement(one)) != composition(join(one,top),complement(one))
    | join(one,top) != top
    | composition(join(one,top),complement(one)) = composition(top,complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),complement(one)),composition(join(one,top),complement(one))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1557,plain,
    ( join(one,top) != top
    | composition(join(one,top),complement(one)) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(one)),composition(join(one,top),complement(one))) )],[refute_0_1555,refute_0_1556]) ).

cnf(refute_0_1558,plain,
    composition(join(one,top),complement(one)) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1554,refute_0_1557]) ).

cnf(refute_0_1559,plain,
    composition(join(top,one),complement(one)) = composition(join(one,top),complement(one)),
    inference(subst,[],[refute_0_1366:[bind(X_67,$fot(top)),bind(X_68,$fot(one)),bind(X_69,$fot(complement(one)))]]) ).

cnf(refute_0_1560,plain,
    join(complement(one),composition(top,complement(one))) = composition(join(top,one),complement(one)),
    inference(subst,[],[refute_0_131:[bind(X_67,$fot(top)),bind(X_69,$fot(complement(one)))]]) ).

cnf(refute_0_1561,plain,
    ( composition(join(top,one),complement(one)) != composition(join(one,top),complement(one))
    | join(complement(one),composition(top,complement(one))) != composition(join(top,one),complement(one))
    | join(complement(one),composition(top,complement(one))) = composition(join(one,top),complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(one),composition(top,complement(one))))),bind(Y,$fot(composition(join(top,one),complement(one)))),bind(Z,$fot(composition(join(one,top),complement(one))))]]) ).

cnf(refute_0_1562,plain,
    ( composition(join(top,one),complement(one)) != composition(join(one,top),complement(one))
    | join(complement(one),composition(top,complement(one))) = composition(join(one,top),complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(top,complement(one))),composition(join(top,one),complement(one))) )],[refute_0_1560,refute_0_1561]) ).

cnf(refute_0_1563,plain,
    join(complement(one),composition(top,complement(one))) = composition(join(one,top),complement(one)),
    inference(resolve,[$cnf( $equal(composition(join(top,one),complement(one)),composition(join(one,top),complement(one))) )],[refute_0_1559,refute_0_1562]) ).

cnf(refute_0_1564,plain,
    ( composition(join(one,top),complement(one)) != composition(top,complement(one))
    | join(complement(one),composition(top,complement(one))) != composition(join(one,top),complement(one))
    | join(complement(one),composition(top,complement(one))) = composition(top,complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(one),composition(top,complement(one))))),bind(Y,$fot(composition(join(one,top),complement(one)))),bind(Z,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_1565,plain,
    ( composition(join(one,top),complement(one)) != composition(top,complement(one))
    | join(complement(one),composition(top,complement(one))) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(top,complement(one))),composition(join(one,top),complement(one))) )],[refute_0_1563,refute_0_1564]) ).

cnf(refute_0_1566,plain,
    join(complement(one),composition(top,complement(one))) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(composition(join(one,top),complement(one)),composition(top,complement(one))) )],[refute_0_1558,refute_0_1565]) ).

cnf(refute_0_1567,plain,
    composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) = composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))),
    introduced(tautology,[refl,[$fot(composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))))]]) ).

cnf(refute_0_1568,plain,
    ( composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) != composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top))))
    | join(complement(one),composition(top,complement(one))) != composition(top,complement(one))
    | composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) = composition(composition(top,complement(one)),meet(one,complement(composition(complement(one),top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))),composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top))))) ),[1,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_1569,plain,
    ( join(complement(one),composition(top,complement(one))) != composition(top,complement(one))
    | composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) = composition(composition(top,complement(one)),meet(one,complement(composition(complement(one),top)))) ),
    inference(resolve,[$cnf( $equal(composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))),composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top))))) )],[refute_0_1567,refute_0_1568]) ).

cnf(refute_0_1570,plain,
    composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) = composition(composition(top,complement(one)),meet(one,complement(composition(complement(one),top)))),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_1566,refute_0_1569]) ).

cnf(refute_0_1571,plain,
    ( composition(composition(top,complement(one)),meet(one,complement(composition(complement(one),top)))) != composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))
    | composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) != composition(composition(top,complement(one)),meet(one,complement(composition(complement(one),top))))
    | composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) = composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))))),bind(Y,$fot(composition(composition(top,complement(one)),meet(one,complement(composition(complement(one),top)))))),bind(Z,$fot(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))]]) ).

cnf(refute_0_1572,plain,
    ( composition(composition(top,complement(one)),meet(one,complement(composition(complement(one),top)))) != composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))
    | composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) = composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) ),
    inference(resolve,[$cnf( $equal(composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))),composition(composition(top,complement(one)),meet(one,complement(composition(complement(one),top))))) )],[refute_0_1570,refute_0_1571]) ).

cnf(refute_0_1573,plain,
    composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) = composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))),
    inference(resolve,[$cnf( $equal(composition(composition(top,complement(one)),meet(one,complement(composition(complement(one),top)))),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) )],[refute_0_1553,refute_0_1572]) ).

cnf(refute_0_1574,plain,
    composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))) = composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))),
    inference(subst,[],[refute_0_1366:[bind(X_67,$fot(composition(top,complement(one)))),bind(X_68,$fot(complement(one))),bind(X_69,$fot(meet(one,complement(composition(complement(one),top)))))]]) ).

cnf(refute_0_1575,plain,
    ( composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) != composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))
    | composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))) != composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top))))
    | composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))) = composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))))),bind(Y,$fot(composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))))),bind(Z,$fot(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))]]) ).

cnf(refute_0_1576,plain,
    ( composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))) != composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))
    | composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))) = composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) ),
    inference(resolve,[$cnf( $equal(composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))),composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top))))) )],[refute_0_1574,refute_0_1575]) ).

cnf(refute_0_1577,plain,
    composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))) = composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))),
    inference(resolve,[$cnf( $equal(composition(join(complement(one),composition(top,complement(one))),meet(one,complement(composition(complement(one),top)))),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) )],[refute_0_1573,refute_0_1576]) ).

cnf(refute_0_1578,plain,
    join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) = join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))),
    introduced(tautology,[refl,[$fot(join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))))]]) ).

cnf(refute_0_1579,plain,
    ( composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))) != composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))
    | join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) != join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))))
    | join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) = join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))),join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))))) ),[1,1],$fot(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))]]) ).

cnf(refute_0_1580,plain,
    ( composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))) != composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))
    | join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) = join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))),join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))))) )],[refute_0_1578,refute_0_1579]) ).

cnf(refute_0_1581,plain,
    join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) = join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))),
    inference(resolve,[$cnf( $equal(composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top)))),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) )],[refute_0_1577,refute_0_1580]) ).

cnf(refute_0_1582,plain,
    ( join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) != complement(one)
    | join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) != join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))
    | join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))),complement(one)) ),[0],$fot(join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))]]) ).

cnf(refute_0_1583,plain,
    ( join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))) != complement(one)
    | join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))),join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) )],[refute_0_1581,refute_0_1582]) ).

cnf(refute_0_1584,plain,
    join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(join(composition(top,complement(one)),complement(one)),meet(one,complement(composition(complement(one),top))))),complement(one)) )],[refute_0_1550,refute_0_1583]) ).

cnf(refute_0_1585,plain,
    ( join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != top
    | join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) != complement(one)
    | join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),top) ),[0,1,0],$fot(complement(one))]]) ).

cnf(refute_0_1586,plain,
    ( join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != top
    | join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))),complement(one)) )],[refute_0_1584,refute_0_1585]) ).

cnf(refute_0_1587,plain,
    join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) = top,
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(join(complement(one),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),top) )],[refute_0_1425,refute_0_1586]) ).

cnf(refute_0_1588,plain,
    join(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),
    inference(subst,[],[refute_0_996:[bind(X0,$fot(one)),bind(X1,$fot(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))]]) ).

cnf(refute_0_1589,plain,
    join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),
    introduced(tautology,[refl,[$fot(join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))]]) ).

cnf(refute_0_1590,plain,
    ( converse(complement(one)) != complement(one)
    | join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = join(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) ),[1,0],$fot(complement(one))]]) ).

cnf(refute_0_1591,plain,
    ( converse(complement(one)) != complement(one)
    | join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = join(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) )],[refute_0_1589,refute_0_1590]) ).

cnf(refute_0_1592,plain,
    join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = join(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),
    inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1519,refute_0_1591]) ).

cnf(refute_0_1593,plain,
    ( join(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != join(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))),bind(Y,$fot(join(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))),bind(Z,$fot(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))]]) ).

cnf(refute_0_1594,plain,
    ( join(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),join(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) )],[refute_0_1592,refute_0_1593]) ).

cnf(refute_0_1595,plain,
    join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),
    inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) )],[refute_0_1588,refute_0_1594]) ).

cnf(refute_0_1596,plain,
    join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) = join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(converse(complement(one)))),bind(X1,$fot(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))]]) ).

cnf(refute_0_1597,plain,
    ( join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) != join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) = complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))))),bind(Y,$fot(join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))),bind(Z,$fot(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))]]) ).

cnf(refute_0_1598,plain,
    ( join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) = complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))),join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) )],[refute_0_1596,refute_0_1597]) ).

cnf(refute_0_1599,plain,
    join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) = complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),
    inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) )],[refute_0_1595,refute_0_1598]) ).

cnf(refute_0_1600,plain,
    ( join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) != complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) != top
    | complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))),top) ),[0],$fot(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))]]) ).

cnf(refute_0_1601,plain,
    ( join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))) != top
    | complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))),complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) )],[refute_0_1599,refute_0_1600]) ).

cnf(refute_0_1602,plain,
    complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = top,
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),converse(complement(one))),top) )],[refute_0_1587,refute_0_1601]) ).

cnf(refute_0_1603,plain,
    ( complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != top
    | converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))
    | converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_1604,plain,
    ( converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))
    | converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) ),
    inference(resolve,[$cnf( $equal(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),top) )],[refute_0_1602,refute_0_1603]) ).

cnf(refute_0_1605,plain,
    converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))) )],[refute_0_1410,refute_0_1604]) ).

cnf(refute_0_1606,plain,
    converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) = converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))),
    introduced(tautology,[refl,[$fot(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))]]) ).

cnf(refute_0_1607,plain,
    ( complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != top
    | converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) != converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))
    | converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))),converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1608,plain,
    ( complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != top
    | converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))),converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) )],[refute_0_1606,refute_0_1607]) ).

cnf(refute_0_1609,plain,
    converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) = converse(top),
    inference(resolve,[$cnf( $equal(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),top) )],[refute_0_1602,refute_0_1608]) ).

cnf(refute_0_1610,plain,
    ( converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) != converse(top)
    | converse(top) != top
    | converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) = top ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1611,plain,
    ( converse(top) != top
    | converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) = top ),
    inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))),converse(top)) )],[refute_0_1609,refute_0_1610]) ).

cnf(refute_0_1612,plain,
    converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) = top,
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_1611]) ).

cnf(refute_0_1613,plain,
    complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) = complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))),
    introduced(tautology,[refl,[$fot(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))]]) ).

cnf(refute_0_1614,plain,
    ( complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) != complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))
    | converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) != top
    | complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))),complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1615,plain,
    ( converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) != top
    | complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))),complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) )],[refute_0_1613,refute_0_1614]) ).

cnf(refute_0_1616,plain,
    complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) = complement(top),
    inference(resolve,[$cnf( $equal(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))),top) )],[refute_0_1612,refute_0_1615]) ).

cnf(refute_0_1617,plain,
    ( complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) != complement(top)
    | complement(top) != zero
    | complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1618,plain,
    ( complement(top) != zero
    | complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))),complement(top)) )],[refute_0_1616,refute_0_1617]) ).

cnf(refute_0_1619,plain,
    complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_1618]) ).

cnf(refute_0_1620,plain,
    converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),
    introduced(tautology,[refl,[$fot(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))]]) ).

cnf(refute_0_1621,plain,
    ( complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) != zero
    | converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) != converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))
    | converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = converse(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1622,plain,
    ( complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) != zero
    | converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = converse(zero) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))) )],[refute_0_1620,refute_0_1621]) ).

cnf(refute_0_1623,plain,
    converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = converse(zero),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))),zero) )],[refute_0_1619,refute_0_1622]) ).

cnf(refute_0_1624,plain,
    ( converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) != converse(zero)
    | converse(zero) != zero
    | converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1625,plain,
    ( converse(zero) != zero
    | converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = zero ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),converse(zero)) )],[refute_0_1623,refute_0_1624]) ).

cnf(refute_0_1626,plain,
    converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) = zero,
    inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1090,refute_0_1625]) ).

cnf(refute_0_1627,plain,
    ( converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))
    | converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) != zero
    | zero = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))) ),[0],$fot(zero)]]) ).

cnf(refute_0_1628,plain,
    ( converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))
    | zero = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),zero) )],[refute_0_1626,refute_0_1627]) ).

cnf(refute_0_1629,plain,
    join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero) = meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),
    inference(subst,[],[refute_0_1130:[bind(X_60,$fot(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))]]) ).

cnf(refute_0_1630,plain,
    meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))) = converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),
    inference(subst,[],[refute_0_328:[bind(X_87,$fot(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))]]) ).

cnf(refute_0_1631,plain,
    ( converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) != zero
    | meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))) != converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))
    | meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))),bind(Y,$fot(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1632,plain,
    ( converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) != zero
    | meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))),converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))) )],[refute_0_1630,refute_0_1631]) ).

cnf(refute_0_1633,plain,
    meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))) = zero,
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),zero) )],[refute_0_1626,refute_0_1632]) ).

cnf(refute_0_1634,plain,
    join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))),
    introduced(tautology,[refl,[$fot(join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))))]]) ).

cnf(refute_0_1635,plain,
    ( join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))
    | meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))) != zero
    | join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))),join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1636,plain,
    ( meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))) != zero
    | join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero) ),
    inference(resolve,[$cnf( $equal(join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))),join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))) )],[refute_0_1634,refute_0_1635]) ).

cnf(refute_0_1637,plain,
    join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) = join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero),
    inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))),zero) )],[refute_0_1633,refute_0_1636]) ).

cnf(refute_0_1638,plain,
    ( join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero)
    | join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero) != meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))
    | join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) = meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))))),bind(Y,$fot(join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero))),bind(Z,$fot(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))]]) ).

cnf(refute_0_1639,plain,
    ( join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero) != meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))
    | join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) = meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))),join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero)) )],[refute_0_1637,refute_0_1638]) ).

cnf(refute_0_1640,plain,
    join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) = meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),
    inference(resolve,[$cnf( $equal(join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero),meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) )],[refute_0_1629,refute_0_1639]) ).

cnf(refute_0_1641,plain,
    ( join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))) != meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))
    | zero != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))
    | zero = meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))) ),[1],$fot(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))]]) ).

cnf(refute_0_1642,plain,
    ( zero != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))
    | zero = meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) ),
    inference(resolve,[$cnf( $equal(join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))))),meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) )],[refute_0_1640,refute_0_1641]) ).

cnf(refute_0_1643,plain,
    ( converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))) != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))
    | zero = meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) ),
    inference(resolve,[$cnf( $equal(zero,join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))) )],[refute_0_1628,refute_0_1642]) ).

cnf(refute_0_1644,plain,
    zero = meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))),join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(top,converse(complement(converse(complement(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))))))) )],[refute_0_1605,refute_0_1643]) ).

cnf(refute_0_1645,plain,
    ( zero != meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))
    | meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))]]) ).

cnf(refute_0_1646,plain,
    meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) )],[refute_0_1644,refute_0_1645]) ).

cnf(refute_0_1647,plain,
    ( meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) != zero
    | one != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))
    | one = join(zero,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1648,plain,
    ( one != join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))
    | one = join(zero,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) ),
    inference(resolve,[$cnf( $equal(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),zero) )],[refute_0_1646,refute_0_1647]) ).

cnf(refute_0_1649,plain,
    one = join(zero,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))),
    inference(resolve,[$cnf( $equal(one,join(meet(one,converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) )],[refute_0_1409,refute_0_1648]) ).

cnf(refute_0_1650,plain,
    join(zero,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))))]]) ).

cnf(refute_0_1651,plain,
    ( join(zero,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) != meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | one != join(zero,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))
    | one = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,join(zero,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) ),[1],$fot(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))]]) ).

cnf(refute_0_1652,plain,
    ( one != join(zero,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))
    | one = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))),meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) )],[refute_0_1650,refute_0_1651]) ).

cnf(refute_0_1653,plain,
    one = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),
    inference(resolve,[$cnf( $equal(one,join(zero,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))) )],[refute_0_1649,refute_0_1652]) ).

cnf(refute_0_1654,plain,
    converse(join(converse(complement(one)),X_6)) = join(complement(one),converse(X_6)),
    inference(subst,[],[refute_0_489:[bind(X0,$fot(complement(one)))]]) ).

cnf(refute_0_1655,plain,
    ( converse(complement(one)) != complement(one)
    | converse(join(converse(complement(one)),X_6)) != join(complement(one),converse(X_6))
    | converse(join(complement(one),X_6)) = join(complement(one),converse(X_6)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),X_6)),join(complement(one),converse(X_6))) ),[0,0,0],$fot(complement(one))]]) ).

cnf(refute_0_1656,plain,
    ( converse(join(converse(complement(one)),X_6)) != join(complement(one),converse(X_6))
    | converse(join(complement(one),X_6)) = join(complement(one),converse(X_6)) ),
    inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1519,refute_0_1655]) ).

cnf(refute_0_1657,plain,
    converse(join(complement(one),X_6)) = join(complement(one),converse(X_6)),
    inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),X_6)),join(complement(one),converse(X_6))) )],[refute_0_1654,refute_0_1656]) ).

cnf(refute_0_1658,plain,
    converse(join(complement(one),composition(complement(one),complement(one)))) = join(complement(one),converse(composition(complement(one),complement(one)))),
    inference(subst,[],[refute_0_1657:[bind(X_6,$fot(composition(complement(one),complement(one))))]]) ).

cnf(refute_0_1659,plain,
    converse(composition(X_23,converse(complement(one)))) = composition(complement(one),converse(X_23)),
    inference(subst,[],[refute_0_1232:[bind(X0,$fot(complement(one)))]]) ).

cnf(refute_0_1660,plain,
    ( converse(complement(one)) != complement(one)
    | converse(composition(X_23,converse(complement(one)))) != composition(complement(one),converse(X_23))
    | converse(composition(X_23,complement(one))) = composition(complement(one),converse(X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_23,converse(complement(one)))),composition(complement(one),converse(X_23))) ),[0,0,1],$fot(complement(one))]]) ).

cnf(refute_0_1661,plain,
    ( converse(composition(X_23,converse(complement(one)))) != composition(complement(one),converse(X_23))
    | converse(composition(X_23,complement(one))) = composition(complement(one),converse(X_23)) ),
    inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1519,refute_0_1660]) ).

cnf(refute_0_1662,plain,
    converse(composition(X_23,complement(one))) = composition(complement(one),converse(X_23)),
    inference(resolve,[$cnf( $equal(converse(composition(X_23,converse(complement(one)))),composition(complement(one),converse(X_23))) )],[refute_0_1659,refute_0_1661]) ).

cnf(refute_0_1663,plain,
    converse(composition(complement(one),complement(one))) = composition(complement(one),converse(complement(one))),
    inference(subst,[],[refute_0_1662:[bind(X_23,$fot(complement(one)))]]) ).

cnf(refute_0_1664,plain,
    ( converse(complement(one)) != complement(one)
    | converse(composition(complement(one),complement(one))) != composition(complement(one),converse(complement(one)))
    | converse(composition(complement(one),complement(one))) = composition(complement(one),complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(one),complement(one))),composition(complement(one),converse(complement(one)))) ),[1,1],$fot(complement(one))]]) ).

cnf(refute_0_1665,plain,
    ( converse(composition(complement(one),complement(one))) != composition(complement(one),converse(complement(one)))
    | converse(composition(complement(one),complement(one))) = composition(complement(one),complement(one)) ),
    inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1519,refute_0_1664]) ).

cnf(refute_0_1666,plain,
    converse(composition(complement(one),complement(one))) = composition(complement(one),complement(one)),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),complement(one))),composition(complement(one),converse(complement(one)))) )],[refute_0_1663,refute_0_1665]) ).

cnf(refute_0_1667,plain,
    ( converse(composition(complement(one),complement(one))) != composition(complement(one),complement(one))
    | converse(join(complement(one),composition(complement(one),complement(one)))) != join(complement(one),converse(composition(complement(one),complement(one))))
    | converse(join(complement(one),composition(complement(one),complement(one)))) = join(complement(one),composition(complement(one),complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),composition(complement(one),complement(one)))),join(complement(one),converse(composition(complement(one),complement(one))))) ),[1,1],$fot(composition(complement(one),complement(one)))]]) ).

cnf(refute_0_1668,plain,
    ( converse(join(complement(one),composition(complement(one),complement(one)))) != join(complement(one),converse(composition(complement(one),complement(one))))
    | converse(join(complement(one),composition(complement(one),complement(one)))) = join(complement(one),composition(complement(one),complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))) )],[refute_0_1666,refute_0_1667]) ).

cnf(refute_0_1669,plain,
    converse(join(complement(one),composition(complement(one),complement(one)))) = join(complement(one),composition(complement(one),complement(one))),
    inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(one),complement(one)))),join(complement(one),converse(composition(complement(one),complement(one))))) )],[refute_0_1658,refute_0_1668]) ).

cnf(refute_0_1670,plain,
    join(one,complement(one)) = top,
    inference(subst,[],[refute_0_160:[bind(X0,$fot(one))]]) ).

cnf(refute_0_1671,plain,
    composition(join(one,complement(one)),complement(one)) = composition(join(one,complement(one)),complement(one)),
    introduced(tautology,[refl,[$fot(composition(join(one,complement(one)),complement(one)))]]) ).

cnf(refute_0_1672,plain,
    ( composition(join(one,complement(one)),complement(one)) != composition(join(one,complement(one)),complement(one))
    | join(one,complement(one)) != top
    | composition(join(one,complement(one)),complement(one)) = composition(top,complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(one)),complement(one)),composition(join(one,complement(one)),complement(one))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1673,plain,
    ( join(one,complement(one)) != top
    | composition(join(one,complement(one)),complement(one)) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,complement(one)),complement(one)),composition(join(one,complement(one)),complement(one))) )],[refute_0_1671,refute_0_1672]) ).

cnf(refute_0_1674,plain,
    composition(join(one,complement(one)),complement(one)) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_1670,refute_0_1673]) ).

cnf(refute_0_1675,plain,
    join(X0,join(meet(X0,zero),X2)) = join(join(X0,meet(X0,zero)),X2),
    inference(subst,[],[refute_0_61:[bind(X1,$fot(meet(X0,zero)))]]) ).

cnf(refute_0_1676,plain,
    X_99 = join(meet(top,X_99),meet(X_99,complement(top))),
    inference(subst,[],[refute_0_475:[bind(X_85,$fot(X_99)),bind(X_86,$fot(top))]]) ).

cnf(refute_0_1677,plain,
    ( X_99 != join(meet(top,X_99),meet(X_99,complement(top)))
    | complement(top) != zero
    | X_99 = join(meet(top,X_99),meet(X_99,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_99,join(meet(top,X_99),meet(X_99,complement(top)))) ),[1,1,1],$fot(zero)]]) ).

cnf(refute_0_1678,plain,
    ( X_99 != join(meet(top,X_99),meet(X_99,complement(top)))
    | X_99 = join(meet(top,X_99),meet(X_99,zero)) ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_1677]) ).

cnf(refute_0_1679,plain,
    X_99 = join(meet(top,X_99),meet(X_99,zero)),
    inference(resolve,[$cnf( $equal(X_99,join(meet(top,X_99),meet(X_99,complement(top)))) )],[refute_0_1676,refute_0_1678]) ).

cnf(refute_0_1680,plain,
    meet(top,X_99) = X_99,
    inference(subst,[],[refute_0_328:[bind(X_87,$fot(X_99))]]) ).

cnf(refute_0_1681,plain,
    join(meet(top,X_99),meet(X_99,zero)) = join(meet(top,X_99),meet(X_99,zero)),
    introduced(tautology,[refl,[$fot(join(meet(top,X_99),meet(X_99,zero)))]]) ).

cnf(refute_0_1682,plain,
    ( join(meet(top,X_99),meet(X_99,zero)) != join(meet(top,X_99),meet(X_99,zero))
    | meet(top,X_99) != X_99
    | join(meet(top,X_99),meet(X_99,zero)) = join(X_99,meet(X_99,zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_99),meet(X_99,zero)),join(meet(top,X_99),meet(X_99,zero))) ),[1,0],$fot(X_99)]]) ).

cnf(refute_0_1683,plain,
    ( meet(top,X_99) != X_99
    | join(meet(top,X_99),meet(X_99,zero)) = join(X_99,meet(X_99,zero)) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_99),meet(X_99,zero)),join(meet(top,X_99),meet(X_99,zero))) )],[refute_0_1681,refute_0_1682]) ).

cnf(refute_0_1684,plain,
    join(meet(top,X_99),meet(X_99,zero)) = join(X_99,meet(X_99,zero)),
    inference(resolve,[$cnf( $equal(meet(top,X_99),X_99) )],[refute_0_1680,refute_0_1683]) ).

cnf(refute_0_1685,plain,
    ( X_99 != join(meet(top,X_99),meet(X_99,zero))
    | join(meet(top,X_99),meet(X_99,zero)) != join(X_99,meet(X_99,zero))
    | X_99 = join(X_99,meet(X_99,zero)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_99,join(X_99,meet(X_99,zero))) ),[0],$fot(join(meet(top,X_99),meet(X_99,zero)))]]) ).

cnf(refute_0_1686,plain,
    ( X_99 != join(meet(top,X_99),meet(X_99,zero))
    | X_99 = join(X_99,meet(X_99,zero)) ),
    inference(resolve,[$cnf( $equal(join(meet(top,X_99),meet(X_99,zero)),join(X_99,meet(X_99,zero))) )],[refute_0_1684,refute_0_1685]) ).

cnf(refute_0_1687,plain,
    X_99 = join(X_99,meet(X_99,zero)),
    inference(resolve,[$cnf( $equal(X_99,join(meet(top,X_99),meet(X_99,zero))) )],[refute_0_1679,refute_0_1686]) ).

cnf(refute_0_1688,plain,
    X0 = join(X0,meet(X0,zero)),
    inference(subst,[],[refute_0_1687:[bind(X_99,$fot(X0))]]) ).

cnf(refute_0_1689,plain,
    ( X0 != join(X0,meet(X0,zero))
    | join(X0,meet(X0,zero)) = X0 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(join(X0,meet(X0,zero))))]]) ).

cnf(refute_0_1690,plain,
    join(X0,meet(X0,zero)) = X0,
    inference(resolve,[$cnf( $equal(X0,join(X0,meet(X0,zero))) )],[refute_0_1688,refute_0_1689]) ).

cnf(refute_0_1691,plain,
    ( join(X0,join(meet(X0,zero),X2)) != join(join(X0,meet(X0,zero)),X2)
    | join(X0,meet(X0,zero)) != X0
    | join(X0,join(meet(X0,zero),X2)) = join(X0,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X0,zero),X2)),join(join(X0,meet(X0,zero)),X2)) ),[1,0],$fot(X0)]]) ).

cnf(refute_0_1692,plain,
    ( join(X0,join(meet(X0,zero),X2)) != join(join(X0,meet(X0,zero)),X2)
    | join(X0,join(meet(X0,zero),X2)) = join(X0,X2) ),
    inference(resolve,[$cnf( $equal(join(X0,meet(X0,zero)),X0) )],[refute_0_1690,refute_0_1691]) ).

cnf(refute_0_1693,plain,
    join(X0,join(meet(X0,zero),X2)) = join(X0,X2),
    inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,zero),X2)),join(join(X0,meet(X0,zero)),X2)) )],[refute_0_1675,refute_0_1692]) ).

cnf(refute_0_1694,plain,
    join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) = join(composition(X0,X2),composition(X1,X2)),
    inference(subst,[],[refute_0_1693:[bind(X0,$fot(composition(X0,X2))),bind(X2,$fot(composition(X1,X2)))]]) ).

cnf(refute_0_1695,plain,
    ( join(composition(X0,X2),composition(X1,X2)) != composition(join(X0,X1),X2)
    | join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) != join(composition(X0,X2),composition(X1,X2))
    | join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) = composition(join(X0,X1),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))),join(composition(X0,X2),composition(X1,X2))) ),[1],$fot(composition(join(X0,X1),X2))]]) ).

cnf(refute_0_1696,plain,
    ( join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) != join(composition(X0,X2),composition(X1,X2))
    | join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) = composition(join(X0,X1),X2) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X1,X2)),composition(join(X0,X1),X2)) )],[refute_0_1360,refute_0_1695]) ).

cnf(refute_0_1697,plain,
    join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) = composition(join(X0,X1),X2),
    inference(resolve,[$cnf( $equal(join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_1694,refute_0_1696]) ).

cnf(refute_0_1698,plain,
    meet(composition(X0,X2),zero) = meet(zero,composition(X0,X2)),
    inference(subst,[],[refute_0_839:[bind(X_19,$fot(zero)),bind(X_20,$fot(composition(X0,X2)))]]) ).

cnf(refute_0_1699,plain,
    join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)) = join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)),
    introduced(tautology,[refl,[$fot(join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)))]]) ).

cnf(refute_0_1700,plain,
    ( join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)) != join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2))
    | meet(composition(X0,X2),zero) != meet(zero,composition(X0,X2))
    | join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)) = join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)),join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2))) ),[1,0],$fot(meet(zero,composition(X0,X2)))]]) ).

cnf(refute_0_1701,plain,
    ( meet(composition(X0,X2),zero) != meet(zero,composition(X0,X2))
    | join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)) = join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) ),
    inference(resolve,[$cnf( $equal(join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)),join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2))) )],[refute_0_1699,refute_0_1700]) ).

cnf(refute_0_1702,plain,
    join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)) = join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)),
    inference(resolve,[$cnf( $equal(meet(composition(X0,X2),zero),meet(zero,composition(X0,X2))) )],[refute_0_1698,refute_0_1701]) ).

cnf(refute_0_1703,plain,
    join(composition(X1,X2),join(X_155,composition(X0,X2))) = join(X_155,join(composition(X0,X2),composition(X1,X2))),
    inference(subst,[],[refute_0_622:[bind(X0,$fot(composition(X1,X2))),bind(X_41,$fot(X_155)),bind(X_42,$fot(composition(X0,X2)))]]) ).

cnf(refute_0_1704,plain,
    ( join(composition(X0,X2),composition(X1,X2)) != composition(join(X0,X1),X2)
    | join(composition(X1,X2),join(X_155,composition(X0,X2))) != join(X_155,join(composition(X0,X2),composition(X1,X2)))
    | join(composition(X1,X2),join(X_155,composition(X0,X2))) = join(X_155,composition(join(X0,X1),X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(X1,X2),join(X_155,composition(X0,X2))),join(X_155,join(composition(X0,X2),composition(X1,X2)))) ),[1,1],$fot(composition(join(X0,X1),X2))]]) ).

cnf(refute_0_1705,plain,
    ( join(composition(X1,X2),join(X_155,composition(X0,X2))) != join(X_155,join(composition(X0,X2),composition(X1,X2)))
    | join(composition(X1,X2),join(X_155,composition(X0,X2))) = join(X_155,composition(join(X0,X1),X2)) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X1,X2)),composition(join(X0,X1),X2)) )],[refute_0_1360,refute_0_1704]) ).

cnf(refute_0_1706,plain,
    join(composition(X1,X2),join(X_155,composition(X0,X2))) = join(X_155,composition(join(X0,X1),X2)),
    inference(resolve,[$cnf( $equal(join(composition(X1,X2),join(X_155,composition(X0,X2))),join(X_155,join(composition(X0,X2),composition(X1,X2)))) )],[refute_0_1703,refute_0_1705]) ).

cnf(refute_0_1707,plain,
    join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) = join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)),
    inference(subst,[],[refute_0_1706:[bind(X0,$fot(X1)),bind(X1,$fot(X0)),bind(X_155,$fot(meet(composition(X0,X2),zero)))]]) ).

cnf(refute_0_1708,plain,
    ( join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) != join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2))
    | join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)) != join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2))
    | join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) = join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))))),bind(Y,$fot(join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)))),bind(Z,$fot(join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2))))]]) ).

cnf(refute_0_1709,plain,
    ( join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)) != join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2))
    | join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) = join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))),join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2))) )],[refute_0_1707,refute_0_1708]) ).

cnf(refute_0_1710,plain,
    join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) = join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)),
    inference(resolve,[$cnf( $equal(join(meet(composition(X0,X2),zero),composition(join(X1,X0),X2)),join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2))) )],[refute_0_1702,refute_0_1709]) ).

cnf(refute_0_1711,plain,
    ( join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) != composition(join(X0,X1),X2)
    | join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) != join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2))
    | join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) = composition(join(X0,X1),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))),composition(join(X0,X1),X2)) ),[0],$fot(join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)))]]) ).

cnf(refute_0_1712,plain,
    ( join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))) != composition(join(X0,X1),X2)
    | join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) = composition(join(X0,X1),X2) ),
    inference(resolve,[$cnf( $equal(join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))),join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2))) )],[refute_0_1710,refute_0_1711]) ).

cnf(refute_0_1713,plain,
    join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) = composition(join(X0,X1),X2),
    inference(resolve,[$cnf( $equal(join(composition(X0,X2),join(meet(composition(X0,X2),zero),composition(X1,X2))),composition(join(X0,X1),X2)) )],[refute_0_1697,refute_0_1712]) ).

cnf(refute_0_1714,plain,
    join(zero,composition(join(X1,X0),X2)) = composition(join(X1,X0),X2),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(composition(join(X1,X0),X2)))]]) ).

cnf(refute_0_1715,plain,
    converse(complement(converse(complement(meet(zero,X_169))))) = join(meet(zero,X_169),meet(complement(meet(zero,X_169)),converse(complement(converse(complement(meet(zero,X_169))))))),
    inference(subst,[],[refute_0_847:[bind(X_100,$fot(meet(zero,X_169)))]]) ).

cnf(refute_0_1716,plain,
    top = join(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20)))),
    inference(subst,[],[refute_0_158:[bind(X0,$fot(join(complement(X_19),complement(X_20))))]]) ).

cnf(refute_0_1717,plain,
    ( complement(join(complement(X_19),complement(X_20))) != meet(X_19,X_20)
    | top != join(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))
    | top = join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))) ),[1,1],$fot(meet(X_19,X_20))]]) ).

cnf(refute_0_1718,plain,
    ( top != join(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))
    | top = join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) ),
    inference(resolve,[$cnf( $equal(complement(join(complement(X_19),complement(X_20))),meet(X_19,X_20)) )],[refute_0_154,refute_0_1717]) ).

cnf(refute_0_1719,plain,
    top = join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)),
    inference(resolve,[$cnf( $equal(top,join(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))) )],[refute_0_1716,refute_0_1718]) ).

cnf(refute_0_1720,plain,
    join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) = join(complement(X_19),join(complement(X_20),meet(X_19,X_20))),
    inference(subst,[],[refute_0_70:[bind(X0,$fot(complement(X_19))),bind(X1,$fot(complement(X_20))),bind(X2,$fot(meet(X_19,X_20)))]]) ).

cnf(refute_0_1721,plain,
    ( join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) != join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))
    | top != join(join(complement(X_19),complement(X_20)),meet(X_19,X_20))
    | top = join(complement(X_19),join(complement(X_20),meet(X_19,X_20))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_19),complement(X_20)),meet(X_19,X_20))) ),[1],$fot(join(complement(X_19),join(complement(X_20),meet(X_19,X_20))))]]) ).

cnf(refute_0_1722,plain,
    ( top != join(join(complement(X_19),complement(X_20)),meet(X_19,X_20))
    | top = join(complement(X_19),join(complement(X_20),meet(X_19,X_20))) ),
    inference(resolve,[$cnf( $equal(join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)),join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))) )],[refute_0_1720,refute_0_1721]) ).

cnf(refute_0_1723,plain,
    top = join(complement(X_19),join(complement(X_20),meet(X_19,X_20))),
    inference(resolve,[$cnf( $equal(top,join(join(complement(X_19),complement(X_20)),meet(X_19,X_20))) )],[refute_0_1719,refute_0_1722]) ).

cnf(refute_0_1724,plain,
    top = join(complement(zero),join(complement(X_20),meet(zero,X_20))),
    inference(subst,[],[refute_0_1723:[bind(X_19,$fot(zero))]]) ).

cnf(refute_0_1725,plain,
    join(X_161,join(meet(X_161,zero),meet(complement(X_161),zero))) = join(X_161,meet(complement(X_161),zero)),
    inference(subst,[],[refute_0_1693:[bind(X0,$fot(X_161)),bind(X2,$fot(meet(complement(X_161),zero)))]]) ).

cnf(refute_0_1726,plain,
    zero = join(meet(X_161,zero),meet(complement(X_161),zero)),
    inference(subst,[],[refute_0_482:[bind(X_100,$fot(X_161)),bind(X_99,$fot(zero))]]) ).

cnf(refute_0_1727,plain,
    ( zero != join(meet(X_161,zero),meet(complement(X_161),zero))
    | join(meet(X_161,zero),meet(complement(X_161),zero)) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(join(meet(X_161,zero),meet(complement(X_161),zero))))]]) ).

cnf(refute_0_1728,plain,
    join(meet(X_161,zero),meet(complement(X_161),zero)) = zero,
    inference(resolve,[$cnf( $equal(zero,join(meet(X_161,zero),meet(complement(X_161),zero))) )],[refute_0_1726,refute_0_1727]) ).

cnf(refute_0_1729,plain,
    ( join(X_161,join(meet(X_161,zero),meet(complement(X_161),zero))) != join(X_161,meet(complement(X_161),zero))
    | join(meet(X_161,zero),meet(complement(X_161),zero)) != zero
    | join(X_161,zero) = join(X_161,meet(complement(X_161),zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_161,join(meet(X_161,zero),meet(complement(X_161),zero))),join(X_161,meet(complement(X_161),zero))) ),[0,1],$fot(zero)]]) ).

cnf(refute_0_1730,plain,
    ( join(X_161,join(meet(X_161,zero),meet(complement(X_161),zero))) != join(X_161,meet(complement(X_161),zero))
    | join(X_161,zero) = join(X_161,meet(complement(X_161),zero)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_161,zero),meet(complement(X_161),zero)),zero) )],[refute_0_1728,refute_0_1729]) ).

cnf(refute_0_1731,plain,
    join(X_161,zero) = join(X_161,meet(complement(X_161),zero)),
    inference(resolve,[$cnf( $equal(join(X_161,join(meet(X_161,zero),meet(complement(X_161),zero))),join(X_161,meet(complement(X_161),zero))) )],[refute_0_1725,refute_0_1730]) ).

cnf(refute_0_1732,plain,
    join(X_161,zero) = X_161,
    inference(subst,[],[refute_0_1130:[bind(X_60,$fot(X_161))]]) ).

cnf(refute_0_1733,plain,
    ( join(X_161,zero) != X_161
    | join(X_161,zero) != join(X_161,meet(complement(X_161),zero))
    | X_161 = join(X_161,meet(complement(X_161),zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_161,zero),join(X_161,meet(complement(X_161),zero))) ),[0],$fot(X_161)]]) ).

cnf(refute_0_1734,plain,
    ( join(X_161,zero) != join(X_161,meet(complement(X_161),zero))
    | X_161 = join(X_161,meet(complement(X_161),zero)) ),
    inference(resolve,[$cnf( $equal(join(X_161,zero),X_161) )],[refute_0_1732,refute_0_1733]) ).

cnf(refute_0_1735,plain,
    meet(complement(X_161),zero) = meet(zero,complement(X_161)),
    inference(subst,[],[refute_0_839:[bind(X_19,$fot(zero)),bind(X_20,$fot(complement(X_161)))]]) ).

cnf(refute_0_1736,plain,
    join(X_161,meet(complement(X_161),zero)) = join(X_161,meet(complement(X_161),zero)),
    introduced(tautology,[refl,[$fot(join(X_161,meet(complement(X_161),zero)))]]) ).

cnf(refute_0_1737,plain,
    ( join(X_161,meet(complement(X_161),zero)) != join(X_161,meet(complement(X_161),zero))
    | meet(complement(X_161),zero) != meet(zero,complement(X_161))
    | join(X_161,meet(complement(X_161),zero)) = join(X_161,meet(zero,complement(X_161))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_161,meet(complement(X_161),zero)),join(X_161,meet(complement(X_161),zero))) ),[1,1],$fot(meet(zero,complement(X_161)))]]) ).

cnf(refute_0_1738,plain,
    ( meet(complement(X_161),zero) != meet(zero,complement(X_161))
    | join(X_161,meet(complement(X_161),zero)) = join(X_161,meet(zero,complement(X_161))) ),
    inference(resolve,[$cnf( $equal(join(X_161,meet(complement(X_161),zero)),join(X_161,meet(complement(X_161),zero))) )],[refute_0_1736,refute_0_1737]) ).

cnf(refute_0_1739,plain,
    join(X_161,meet(complement(X_161),zero)) = join(X_161,meet(zero,complement(X_161))),
    inference(resolve,[$cnf( $equal(meet(complement(X_161),zero),meet(zero,complement(X_161))) )],[refute_0_1735,refute_0_1738]) ).

cnf(refute_0_1740,plain,
    ( X_161 != join(X_161,meet(complement(X_161),zero))
    | join(X_161,meet(complement(X_161),zero)) != join(X_161,meet(zero,complement(X_161)))
    | X_161 = join(X_161,meet(zero,complement(X_161))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_161,join(X_161,meet(zero,complement(X_161)))) ),[0],$fot(join(X_161,meet(complement(X_161),zero)))]]) ).

cnf(refute_0_1741,plain,
    ( X_161 != join(X_161,meet(complement(X_161),zero))
    | X_161 = join(X_161,meet(zero,complement(X_161))) ),
    inference(resolve,[$cnf( $equal(join(X_161,meet(complement(X_161),zero)),join(X_161,meet(zero,complement(X_161)))) )],[refute_0_1739,refute_0_1740]) ).

cnf(refute_0_1742,plain,
    ( join(X_161,zero) != join(X_161,meet(complement(X_161),zero))
    | X_161 = join(X_161,meet(zero,complement(X_161))) ),
    inference(resolve,[$cnf( $equal(X_161,join(X_161,meet(complement(X_161),zero))) )],[refute_0_1734,refute_0_1741]) ).

cnf(refute_0_1743,plain,
    X_161 = join(X_161,meet(zero,complement(X_161))),
    inference(resolve,[$cnf( $equal(join(X_161,zero),join(X_161,meet(complement(X_161),zero))) )],[refute_0_1731,refute_0_1742]) ).

cnf(refute_0_1744,plain,
    complement(X1) = join(complement(X1),meet(zero,complement(complement(X1)))),
    inference(subst,[],[refute_0_1743:[bind(X_161,$fot(complement(X1)))]]) ).

cnf(refute_0_1745,plain,
    ( complement(X1) != join(complement(X1),meet(zero,complement(complement(X1))))
    | complement(complement(X1)) != X1
    | complement(X1) = join(complement(X1),meet(zero,X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(X1),join(complement(X1),meet(zero,complement(complement(X1))))) ),[1,1,1],$fot(X1)]]) ).

cnf(refute_0_1746,plain,
    ( complement(X1) != join(complement(X1),meet(zero,complement(complement(X1))))
    | complement(X1) = join(complement(X1),meet(zero,X1)) ),
    inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_1002,refute_0_1745]) ).

cnf(refute_0_1747,plain,
    complement(X1) = join(complement(X1),meet(zero,X1)),
    inference(resolve,[$cnf( $equal(complement(X1),join(complement(X1),meet(zero,complement(complement(X1))))) )],[refute_0_1744,refute_0_1746]) ).

cnf(refute_0_1748,plain,
    complement(X_20) = join(complement(X_20),meet(zero,X_20)),
    inference(subst,[],[refute_0_1747:[bind(X1,$fot(X_20))]]) ).

cnf(refute_0_1749,plain,
    ( complement(X_20) != join(complement(X_20),meet(zero,X_20))
    | join(complement(X_20),meet(zero,X_20)) = complement(X_20) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_20))),bind(Y,$fot(join(complement(X_20),meet(zero,X_20))))]]) ).

cnf(refute_0_1750,plain,
    join(complement(X_20),meet(zero,X_20)) = complement(X_20),
    inference(resolve,[$cnf( $equal(complement(X_20),join(complement(X_20),meet(zero,X_20))) )],[refute_0_1748,refute_0_1749]) ).

cnf(refute_0_1751,plain,
    ( join(complement(X_20),meet(zero,X_20)) != complement(X_20)
    | top != join(complement(zero),join(complement(X_20),meet(zero,X_20)))
    | top = join(complement(zero),complement(X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(zero),join(complement(X_20),meet(zero,X_20)))) ),[1,1],$fot(complement(X_20))]]) ).

cnf(refute_0_1752,plain,
    ( top != join(complement(zero),join(complement(X_20),meet(zero,X_20)))
    | top = join(complement(zero),complement(X_20)) ),
    inference(resolve,[$cnf( $equal(join(complement(X_20),meet(zero,X_20)),complement(X_20)) )],[refute_0_1750,refute_0_1751]) ).

cnf(refute_0_1753,plain,
    top = join(complement(zero),complement(X_20)),
    inference(resolve,[$cnf( $equal(top,join(complement(zero),join(complement(X_20),meet(zero,X_20)))) )],[refute_0_1724,refute_0_1752]) ).

cnf(refute_0_1754,plain,
    join(complement(zero),complement(X_20)) = complement(meet(zero,X_20)),
    inference(subst,[],[refute_0_996:[bind(X0,$fot(zero)),bind(X1,$fot(X_20))]]) ).

cnf(refute_0_1755,plain,
    ( join(complement(zero),complement(X_20)) != complement(meet(zero,X_20))
    | top != join(complement(zero),complement(X_20))
    | top = complement(meet(zero,X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(complement(zero),complement(X_20))) ),[1],$fot(complement(meet(zero,X_20)))]]) ).

cnf(refute_0_1756,plain,
    ( top != join(complement(zero),complement(X_20))
    | top = complement(meet(zero,X_20)) ),
    inference(resolve,[$cnf( $equal(join(complement(zero),complement(X_20)),complement(meet(zero,X_20))) )],[refute_0_1754,refute_0_1755]) ).

cnf(refute_0_1757,plain,
    top = complement(meet(zero,X_20)),
    inference(resolve,[$cnf( $equal(top,join(complement(zero),complement(X_20))) )],[refute_0_1753,refute_0_1756]) ).

cnf(refute_0_1758,plain,
    top = complement(meet(zero,X_169)),
    inference(subst,[],[refute_0_1757:[bind(X_20,$fot(X_169))]]) ).

cnf(refute_0_1759,plain,
    ( top != complement(meet(zero,X_169))
    | complement(meet(zero,X_169)) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(zero,X_169))))]]) ).

cnf(refute_0_1760,plain,
    complement(meet(zero,X_169)) = top,
    inference(resolve,[$cnf( $equal(top,complement(meet(zero,X_169))) )],[refute_0_1758,refute_0_1759]) ).

cnf(refute_0_1761,plain,
    ( complement(meet(zero,X_169)) != top
    | converse(complement(converse(complement(meet(zero,X_169))))) != join(meet(zero,X_169),meet(complement(meet(zero,X_169)),converse(complement(converse(complement(meet(zero,X_169)))))))
    | converse(complement(converse(complement(meet(zero,X_169))))) = join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(zero,X_169))))),join(meet(zero,X_169),meet(complement(meet(zero,X_169)),converse(complement(converse(complement(meet(zero,X_169)))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_1762,plain,
    ( converse(complement(converse(complement(meet(zero,X_169))))) != join(meet(zero,X_169),meet(complement(meet(zero,X_169)),converse(complement(converse(complement(meet(zero,X_169)))))))
    | converse(complement(converse(complement(meet(zero,X_169))))) = join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) ),
    inference(resolve,[$cnf( $equal(complement(meet(zero,X_169)),top) )],[refute_0_1760,refute_0_1761]) ).

cnf(refute_0_1763,plain,
    converse(complement(converse(complement(meet(zero,X_169))))) = join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(zero,X_169))))),join(meet(zero,X_169),meet(complement(meet(zero,X_169)),converse(complement(converse(complement(meet(zero,X_169)))))))) )],[refute_0_1715,refute_0_1762]) ).

cnf(refute_0_1764,plain,
    converse(complement(meet(zero,X_169))) = converse(complement(meet(zero,X_169))),
    introduced(tautology,[refl,[$fot(converse(complement(meet(zero,X_169))))]]) ).

cnf(refute_0_1765,plain,
    ( complement(meet(zero,X_169)) != top
    | converse(complement(meet(zero,X_169))) != converse(complement(meet(zero,X_169)))
    | converse(complement(meet(zero,X_169))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(zero,X_169))),converse(complement(meet(zero,X_169)))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1766,plain,
    ( complement(meet(zero,X_169)) != top
    | converse(complement(meet(zero,X_169))) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(complement(meet(zero,X_169))),converse(complement(meet(zero,X_169)))) )],[refute_0_1764,refute_0_1765]) ).

cnf(refute_0_1767,plain,
    converse(complement(meet(zero,X_169))) = converse(top),
    inference(resolve,[$cnf( $equal(complement(meet(zero,X_169)),top) )],[refute_0_1760,refute_0_1766]) ).

cnf(refute_0_1768,plain,
    ( converse(complement(meet(zero,X_169))) != converse(top)
    | converse(top) != top
    | converse(complement(meet(zero,X_169))) = top ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(complement(meet(zero,X_169))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_1769,plain,
    ( converse(top) != top
    | converse(complement(meet(zero,X_169))) = top ),
    inference(resolve,[$cnf( $equal(converse(complement(meet(zero,X_169))),converse(top)) )],[refute_0_1767,refute_0_1768]) ).

cnf(refute_0_1770,plain,
    converse(complement(meet(zero,X_169))) = top,
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_1769]) ).

cnf(refute_0_1771,plain,
    complement(converse(complement(meet(zero,X_169)))) = complement(converse(complement(meet(zero,X_169)))),
    introduced(tautology,[refl,[$fot(complement(converse(complement(meet(zero,X_169)))))]]) ).

cnf(refute_0_1772,plain,
    ( complement(converse(complement(meet(zero,X_169)))) != complement(converse(complement(meet(zero,X_169))))
    | converse(complement(meet(zero,X_169))) != top
    | complement(converse(complement(meet(zero,X_169)))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(zero,X_169)))),complement(converse(complement(meet(zero,X_169))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_1773,plain,
    ( converse(complement(meet(zero,X_169))) != top
    | complement(converse(complement(meet(zero,X_169)))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(zero,X_169)))),complement(converse(complement(meet(zero,X_169))))) )],[refute_0_1771,refute_0_1772]) ).

cnf(refute_0_1774,plain,
    complement(converse(complement(meet(zero,X_169)))) = complement(top),
    inference(resolve,[$cnf( $equal(converse(complement(meet(zero,X_169))),top) )],[refute_0_1770,refute_0_1773]) ).

cnf(refute_0_1775,plain,
    ( complement(converse(complement(meet(zero,X_169)))) != complement(top)
    | complement(top) != zero
    | complement(converse(complement(meet(zero,X_169)))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(converse(complement(meet(zero,X_169)))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1776,plain,
    ( complement(top) != zero
    | complement(converse(complement(meet(zero,X_169)))) = zero ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(zero,X_169)))),complement(top)) )],[refute_0_1774,refute_0_1775]) ).

cnf(refute_0_1777,plain,
    complement(converse(complement(meet(zero,X_169)))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_1776]) ).

cnf(refute_0_1778,plain,
    converse(complement(converse(complement(meet(zero,X_169))))) = converse(complement(converse(complement(meet(zero,X_169))))),
    introduced(tautology,[refl,[$fot(converse(complement(converse(complement(meet(zero,X_169))))))]]) ).

cnf(refute_0_1779,plain,
    ( complement(converse(complement(meet(zero,X_169)))) != zero
    | converse(complement(converse(complement(meet(zero,X_169))))) != converse(complement(converse(complement(meet(zero,X_169)))))
    | converse(complement(converse(complement(meet(zero,X_169))))) = converse(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(zero,X_169))))),converse(complement(converse(complement(meet(zero,X_169)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1780,plain,
    ( complement(converse(complement(meet(zero,X_169)))) != zero
    | converse(complement(converse(complement(meet(zero,X_169))))) = converse(zero) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(zero,X_169))))),converse(complement(converse(complement(meet(zero,X_169)))))) )],[refute_0_1778,refute_0_1779]) ).

cnf(refute_0_1781,plain,
    converse(complement(converse(complement(meet(zero,X_169))))) = converse(zero),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(zero,X_169)))),zero) )],[refute_0_1777,refute_0_1780]) ).

cnf(refute_0_1782,plain,
    ( converse(complement(converse(complement(meet(zero,X_169))))) != converse(zero)
    | converse(zero) != zero
    | converse(complement(converse(complement(meet(zero,X_169))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(complement(converse(complement(meet(zero,X_169))))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1783,plain,
    ( converse(zero) != zero
    | converse(complement(converse(complement(meet(zero,X_169))))) = zero ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(zero,X_169))))),converse(zero)) )],[refute_0_1781,refute_0_1782]) ).

cnf(refute_0_1784,plain,
    converse(complement(converse(complement(meet(zero,X_169))))) = zero,
    inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1090,refute_0_1783]) ).

cnf(refute_0_1785,plain,
    ( converse(complement(converse(complement(meet(zero,X_169))))) != join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))
    | converse(complement(converse(complement(meet(zero,X_169))))) != zero
    | zero = join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(zero,X_169))))),join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))) ),[0],$fot(zero)]]) ).

cnf(refute_0_1786,plain,
    ( converse(complement(converse(complement(meet(zero,X_169))))) != join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))
    | zero = join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(zero,X_169))))),zero) )],[refute_0_1784,refute_0_1785]) ).

cnf(refute_0_1787,plain,
    join(meet(zero,X_169),zero) = meet(zero,X_169),
    inference(subst,[],[refute_0_1130:[bind(X_60,$fot(meet(zero,X_169)))]]) ).

cnf(refute_0_1788,plain,
    meet(top,converse(complement(converse(complement(meet(zero,X_169)))))) = converse(complement(converse(complement(meet(zero,X_169))))),
    inference(subst,[],[refute_0_328:[bind(X_87,$fot(converse(complement(converse(complement(meet(zero,X_169)))))))]]) ).

cnf(refute_0_1789,plain,
    ( converse(complement(converse(complement(meet(zero,X_169))))) != zero
    | meet(top,converse(complement(converse(complement(meet(zero,X_169)))))) != converse(complement(converse(complement(meet(zero,X_169)))))
    | meet(top,converse(complement(converse(complement(meet(zero,X_169)))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))),bind(Y,$fot(converse(complement(converse(complement(meet(zero,X_169))))))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_1790,plain,
    ( converse(complement(converse(complement(meet(zero,X_169))))) != zero
    | meet(top,converse(complement(converse(complement(meet(zero,X_169)))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(meet(zero,X_169)))))),converse(complement(converse(complement(meet(zero,X_169)))))) )],[refute_0_1788,refute_0_1789]) ).

cnf(refute_0_1791,plain,
    meet(top,converse(complement(converse(complement(meet(zero,X_169)))))) = zero,
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(zero,X_169))))),zero) )],[refute_0_1784,refute_0_1790]) ).

cnf(refute_0_1792,plain,
    join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) = join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))),
    introduced(tautology,[refl,[$fot(join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))))]]) ).

cnf(refute_0_1793,plain,
    ( join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) != join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))
    | meet(top,converse(complement(converse(complement(meet(zero,X_169)))))) != zero
    | join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) = join(meet(zero,X_169),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))),join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1794,plain,
    ( meet(top,converse(complement(converse(complement(meet(zero,X_169)))))) != zero
    | join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) = join(meet(zero,X_169),zero) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))),join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))) )],[refute_0_1792,refute_0_1793]) ).

cnf(refute_0_1795,plain,
    join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) = join(meet(zero,X_169),zero),
    inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(meet(zero,X_169)))))),zero) )],[refute_0_1791,refute_0_1794]) ).

cnf(refute_0_1796,plain,
    ( join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) != join(meet(zero,X_169),zero)
    | join(meet(zero,X_169),zero) != meet(zero,X_169)
    | join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) = meet(zero,X_169) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))))),bind(Y,$fot(join(meet(zero,X_169),zero))),bind(Z,$fot(meet(zero,X_169)))]]) ).

cnf(refute_0_1797,plain,
    ( join(meet(zero,X_169),zero) != meet(zero,X_169)
    | join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) = meet(zero,X_169) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))),join(meet(zero,X_169),zero)) )],[refute_0_1795,refute_0_1796]) ).

cnf(refute_0_1798,plain,
    join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) = meet(zero,X_169),
    inference(resolve,[$cnf( $equal(join(meet(zero,X_169),zero),meet(zero,X_169)) )],[refute_0_1787,refute_0_1797]) ).

cnf(refute_0_1799,plain,
    ( join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))) != meet(zero,X_169)
    | zero != join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))
    | zero = meet(zero,X_169) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))) ),[1],$fot(meet(zero,X_169))]]) ).

cnf(refute_0_1800,plain,
    ( zero != join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))
    | zero = meet(zero,X_169) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169))))))),meet(zero,X_169)) )],[refute_0_1798,refute_0_1799]) ).

cnf(refute_0_1801,plain,
    ( converse(complement(converse(complement(meet(zero,X_169))))) != join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))
    | zero = meet(zero,X_169) ),
    inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))) )],[refute_0_1786,refute_0_1800]) ).

cnf(refute_0_1802,plain,
    zero = meet(zero,X_169),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(zero,X_169))))),join(meet(zero,X_169),meet(top,converse(complement(converse(complement(meet(zero,X_169)))))))) )],[refute_0_1763,refute_0_1801]) ).

cnf(refute_0_1803,plain,
    ( zero != meet(zero,X_169)
    | meet(zero,X_169) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X_169)))]]) ).

cnf(refute_0_1804,plain,
    meet(zero,X_169) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(zero,X_169)) )],[refute_0_1802,refute_0_1803]) ).

cnf(refute_0_1805,plain,
    meet(zero,composition(X0,X2)) = zero,
    inference(subst,[],[refute_0_1804:[bind(X_169,$fot(composition(X0,X2)))]]) ).

cnf(refute_0_1806,plain,
    join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) = join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)),
    introduced(tautology,[refl,[$fot(join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)))]]) ).

cnf(refute_0_1807,plain,
    ( join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) != join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2))
    | meet(zero,composition(X0,X2)) != zero
    | join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) = join(zero,composition(join(X1,X0),X2)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)),join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1808,plain,
    ( meet(zero,composition(X0,X2)) != zero
    | join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) = join(zero,composition(join(X1,X0),X2)) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)),join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2))) )],[refute_0_1806,refute_0_1807]) ).

cnf(refute_0_1809,plain,
    join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) = join(zero,composition(join(X1,X0),X2)),
    inference(resolve,[$cnf( $equal(meet(zero,composition(X0,X2)),zero) )],[refute_0_1805,refute_0_1808]) ).

cnf(refute_0_1810,plain,
    ( join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) != join(zero,composition(join(X1,X0),X2))
    | join(zero,composition(join(X1,X0),X2)) != composition(join(X1,X0),X2)
    | join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) = composition(join(X1,X0),X2) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)))),bind(Y,$fot(join(zero,composition(join(X1,X0),X2)))),bind(Z,$fot(composition(join(X1,X0),X2)))]]) ).

cnf(refute_0_1811,plain,
    ( join(zero,composition(join(X1,X0),X2)) != composition(join(X1,X0),X2)
    | join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) = composition(join(X1,X0),X2) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)),join(zero,composition(join(X1,X0),X2))) )],[refute_0_1809,refute_0_1810]) ).

cnf(refute_0_1812,plain,
    join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) = composition(join(X1,X0),X2),
    inference(resolve,[$cnf( $equal(join(zero,composition(join(X1,X0),X2)),composition(join(X1,X0),X2)) )],[refute_0_1714,refute_0_1811]) ).

cnf(refute_0_1813,plain,
    ( join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) != composition(join(X0,X1),X2)
    | join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) != composition(join(X1,X0),X2)
    | composition(join(X1,X0),X2) = composition(join(X0,X1),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)),composition(join(X0,X1),X2)) ),[0],$fot(composition(join(X1,X0),X2))]]) ).

cnf(refute_0_1814,plain,
    ( join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)) != composition(join(X0,X1),X2)
    | composition(join(X1,X0),X2) = composition(join(X0,X1),X2) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)),composition(join(X1,X0),X2)) )],[refute_0_1812,refute_0_1813]) ).

cnf(refute_0_1815,plain,
    composition(join(X1,X0),X2) = composition(join(X0,X1),X2),
    inference(resolve,[$cnf( $equal(join(meet(zero,composition(X0,X2)),composition(join(X1,X0),X2)),composition(join(X0,X1),X2)) )],[refute_0_1713,refute_0_1814]) ).

cnf(refute_0_1816,plain,
    ( composition(join(X1,X0),X2) != composition(join(X0,X1),X2)
    | composition(join(X0,X1),X2) = composition(join(X1,X0),X2) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X1,X0),X2))),bind(Y,$fot(composition(join(X0,X1),X2)))]]) ).

cnf(refute_0_1817,plain,
    composition(join(X0,X1),X2) = composition(join(X1,X0),X2),
    inference(resolve,[$cnf( $equal(composition(join(X1,X0),X2),composition(join(X0,X1),X2)) )],[refute_0_1815,refute_0_1816]) ).

cnf(refute_0_1818,plain,
    composition(join(complement(one),one),complement(one)) = composition(join(one,complement(one)),complement(one)),
    inference(subst,[],[refute_0_1817:[bind(X0,$fot(complement(one))),bind(X1,$fot(one)),bind(X2,$fot(complement(one)))]]) ).

cnf(refute_0_1819,plain,
    join(complement(one),composition(complement(one),complement(one))) = composition(join(complement(one),one),complement(one)),
    inference(subst,[],[refute_0_131:[bind(X_67,$fot(complement(one))),bind(X_69,$fot(complement(one)))]]) ).

cnf(refute_0_1820,plain,
    ( composition(join(complement(one),one),complement(one)) != composition(join(one,complement(one)),complement(one))
    | join(complement(one),composition(complement(one),complement(one))) != composition(join(complement(one),one),complement(one))
    | join(complement(one),composition(complement(one),complement(one))) = composition(join(one,complement(one)),complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(one),composition(complement(one),complement(one))))),bind(Y,$fot(composition(join(complement(one),one),complement(one)))),bind(Z,$fot(composition(join(one,complement(one)),complement(one))))]]) ).

cnf(refute_0_1821,plain,
    ( composition(join(complement(one),one),complement(one)) != composition(join(one,complement(one)),complement(one))
    | join(complement(one),composition(complement(one),complement(one))) = composition(join(one,complement(one)),complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(one),complement(one))),composition(join(complement(one),one),complement(one))) )],[refute_0_1819,refute_0_1820]) ).

cnf(refute_0_1822,plain,
    join(complement(one),composition(complement(one),complement(one))) = composition(join(one,complement(one)),complement(one)),
    inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(one)),composition(join(one,complement(one)),complement(one))) )],[refute_0_1818,refute_0_1821]) ).

cnf(refute_0_1823,plain,
    ( composition(join(one,complement(one)),complement(one)) != composition(top,complement(one))
    | join(complement(one),composition(complement(one),complement(one))) != composition(join(one,complement(one)),complement(one))
    | join(complement(one),composition(complement(one),complement(one))) = composition(top,complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(one),composition(complement(one),complement(one))))),bind(Y,$fot(composition(join(one,complement(one)),complement(one)))),bind(Z,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_1824,plain,
    ( composition(join(one,complement(one)),complement(one)) != composition(top,complement(one))
    | join(complement(one),composition(complement(one),complement(one))) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(one),complement(one))),composition(join(one,complement(one)),complement(one))) )],[refute_0_1822,refute_0_1823]) ).

cnf(refute_0_1825,plain,
    join(complement(one),composition(complement(one),complement(one))) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(composition(join(one,complement(one)),complement(one)),composition(top,complement(one))) )],[refute_0_1674,refute_0_1824]) ).

cnf(refute_0_1826,plain,
    converse(join(complement(one),composition(complement(one),complement(one)))) = converse(join(complement(one),composition(complement(one),complement(one)))),
    introduced(tautology,[refl,[$fot(converse(join(complement(one),composition(complement(one),complement(one)))))]]) ).

cnf(refute_0_1827,plain,
    ( converse(join(complement(one),composition(complement(one),complement(one)))) != converse(join(complement(one),composition(complement(one),complement(one))))
    | join(complement(one),composition(complement(one),complement(one))) != composition(top,complement(one))
    | converse(join(complement(one),composition(complement(one),complement(one)))) = converse(composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),composition(complement(one),complement(one)))),converse(join(complement(one),composition(complement(one),complement(one))))) ),[1,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_1828,plain,
    ( join(complement(one),composition(complement(one),complement(one))) != composition(top,complement(one))
    | converse(join(complement(one),composition(complement(one),complement(one)))) = converse(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(one),complement(one)))),converse(join(complement(one),composition(complement(one),complement(one))))) )],[refute_0_1826,refute_0_1827]) ).

cnf(refute_0_1829,plain,
    converse(join(complement(one),composition(complement(one),complement(one)))) = converse(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(one),complement(one))),composition(top,complement(one))) )],[refute_0_1825,refute_0_1828]) ).

cnf(refute_0_1830,plain,
    ( converse(composition(top,complement(one))) != composition(complement(one),top)
    | converse(join(complement(one),composition(complement(one),complement(one)))) != converse(composition(top,complement(one)))
    | converse(join(complement(one),composition(complement(one),complement(one)))) = composition(complement(one),top) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(join(complement(one),composition(complement(one),complement(one)))))),bind(Y,$fot(converse(composition(top,complement(one))))),bind(Z,$fot(composition(complement(one),top)))]]) ).

cnf(refute_0_1831,plain,
    ( converse(composition(top,complement(one))) != composition(complement(one),top)
    | converse(join(complement(one),composition(complement(one),complement(one)))) = composition(complement(one),top) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(one),complement(one)))),converse(composition(top,complement(one)))) )],[refute_0_1829,refute_0_1830]) ).

cnf(refute_0_1832,plain,
    converse(join(complement(one),composition(complement(one),complement(one)))) = composition(complement(one),top),
    inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_1547,refute_0_1831]) ).

cnf(refute_0_1833,plain,
    ( converse(join(complement(one),composition(complement(one),complement(one)))) != composition(complement(one),top)
    | converse(join(complement(one),composition(complement(one),complement(one)))) != join(complement(one),composition(complement(one),complement(one)))
    | composition(complement(one),top) = join(complement(one),composition(complement(one),complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),composition(complement(one),complement(one)))),join(complement(one),composition(complement(one),complement(one)))) ),[0],$fot(composition(complement(one),top))]]) ).

cnf(refute_0_1834,plain,
    ( converse(join(complement(one),composition(complement(one),complement(one)))) != join(complement(one),composition(complement(one),complement(one)))
    | composition(complement(one),top) = join(complement(one),composition(complement(one),complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(one),complement(one)))),composition(complement(one),top)) )],[refute_0_1832,refute_0_1833]) ).

cnf(refute_0_1835,plain,
    ( composition(complement(one),top) != join(complement(one),composition(complement(one),complement(one)))
    | join(complement(one),composition(complement(one),complement(one))) != composition(top,complement(one))
    | composition(complement(one),top) = composition(top,complement(one)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(one),top),composition(top,complement(one))) ),[0],$fot(join(complement(one),composition(complement(one),complement(one))))]]) ).

cnf(refute_0_1836,plain,
    ( composition(complement(one),top) != join(complement(one),composition(complement(one),complement(one)))
    | composition(complement(one),top) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(one),complement(one))),composition(top,complement(one))) )],[refute_0_1825,refute_0_1835]) ).

cnf(refute_0_1837,plain,
    ( converse(join(complement(one),composition(complement(one),complement(one)))) != join(complement(one),composition(complement(one),complement(one)))
    | composition(complement(one),top) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(complement(one),top),join(complement(one),composition(complement(one),complement(one)))) )],[refute_0_1834,refute_0_1836]) ).

cnf(refute_0_1838,plain,
    composition(complement(one),top) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(one),complement(one)))),join(complement(one),composition(complement(one),complement(one)))) )],[refute_0_1669,refute_0_1837]) ).

cnf(refute_0_1839,plain,
    complement(composition(complement(one),top)) = complement(composition(complement(one),top)),
    introduced(tautology,[refl,[$fot(complement(composition(complement(one),top)))]]) ).

cnf(refute_0_1840,plain,
    ( complement(composition(complement(one),top)) != complement(composition(complement(one),top))
    | composition(complement(one),top) != composition(top,complement(one))
    | complement(composition(complement(one),top)) = complement(composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(one),top)),complement(composition(complement(one),top))) ),[1,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_1841,plain,
    ( composition(complement(one),top) != composition(top,complement(one))
    | complement(composition(complement(one),top)) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(complement(composition(complement(one),top)),complement(composition(complement(one),top))) )],[refute_0_1839,refute_0_1840]) ).

cnf(refute_0_1842,plain,
    complement(composition(complement(one),top)) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_1838,refute_0_1841]) ).

cnf(refute_0_1843,plain,
    meet(one,complement(composition(complement(one),top))) = meet(one,complement(composition(complement(one),top))),
    introduced(tautology,[refl,[$fot(meet(one,complement(composition(complement(one),top))))]]) ).

cnf(refute_0_1844,plain,
    ( complement(composition(complement(one),top)) != complement(composition(top,complement(one)))
    | meet(one,complement(composition(complement(one),top))) != meet(one,complement(composition(complement(one),top)))
    | meet(one,complement(composition(complement(one),top))) = meet(one,complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(complement(one),top))),meet(one,complement(composition(complement(one),top)))) ),[1,1],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_1845,plain,
    ( complement(composition(complement(one),top)) != complement(composition(top,complement(one)))
    | meet(one,complement(composition(complement(one),top))) = meet(one,complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(one),top))),meet(one,complement(composition(complement(one),top)))) )],[refute_0_1843,refute_0_1844]) ).

cnf(refute_0_1846,plain,
    meet(one,complement(composition(complement(one),top))) = meet(one,complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(complement(composition(complement(one),top)),complement(composition(top,complement(one)))) )],[refute_0_1842,refute_0_1845]) ).

cnf(refute_0_1847,plain,
    composition(complement(one),meet(one,complement(composition(complement(one),top)))) = composition(complement(one),meet(one,complement(composition(complement(one),top)))),
    introduced(tautology,[refl,[$fot(composition(complement(one),meet(one,complement(composition(complement(one),top)))))]]) ).

cnf(refute_0_1848,plain,
    ( composition(complement(one),meet(one,complement(composition(complement(one),top)))) != composition(complement(one),meet(one,complement(composition(complement(one),top))))
    | meet(one,complement(composition(complement(one),top))) != meet(one,complement(composition(top,complement(one))))
    | composition(complement(one),meet(one,complement(composition(complement(one),top)))) = composition(complement(one),meet(one,complement(composition(top,complement(one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),meet(one,complement(composition(complement(one),top)))),composition(complement(one),meet(one,complement(composition(complement(one),top))))) ),[1,1],$fot(meet(one,complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_1849,plain,
    ( meet(one,complement(composition(complement(one),top))) != meet(one,complement(composition(top,complement(one))))
    | composition(complement(one),meet(one,complement(composition(complement(one),top)))) = composition(complement(one),meet(one,complement(composition(top,complement(one))))) ),
    inference(resolve,[$cnf( $equal(composition(complement(one),meet(one,complement(composition(complement(one),top)))),composition(complement(one),meet(one,complement(composition(complement(one),top))))) )],[refute_0_1847,refute_0_1848]) ).

cnf(refute_0_1850,plain,
    composition(complement(one),meet(one,complement(composition(complement(one),top)))) = composition(complement(one),meet(one,complement(composition(top,complement(one))))),
    inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(one),top))),meet(one,complement(composition(top,complement(one))))) )],[refute_0_1846,refute_0_1849]) ).

cnf(refute_0_1851,plain,
    composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) = composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))),
    introduced(tautology,[refl,[$fot(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))]]) ).

cnf(refute_0_1852,plain,
    ( composition(complement(one),meet(one,complement(composition(complement(one),top)))) != composition(complement(one),meet(one,complement(composition(top,complement(one)))))
    | composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) != composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))
    | composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) = composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) ),[1,1],$fot(composition(complement(one),meet(one,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_1853,plain,
    ( composition(complement(one),meet(one,complement(composition(complement(one),top)))) != composition(complement(one),meet(one,complement(composition(top,complement(one)))))
    | composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) = composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))) ),
    inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))),composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) )],[refute_0_1851,refute_0_1852]) ).

cnf(refute_0_1854,plain,
    composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) = composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))),
    inference(resolve,[$cnf( $equal(composition(complement(one),meet(one,complement(composition(complement(one),top)))),composition(complement(one),meet(one,complement(composition(top,complement(one)))))) )],[refute_0_1850,refute_0_1853]) ).

cnf(refute_0_1855,plain,
    converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))),
    introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))]]) ).

cnf(refute_0_1856,plain,
    ( composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) != composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))
    | converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) != converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))
    | converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))),converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) ),[1,0],$fot(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))]]) ).

cnf(refute_0_1857,plain,
    ( composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))) != composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))
    | converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))),converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) )],[refute_0_1855,refute_0_1856]) ).

cnf(refute_0_1858,plain,
    converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),
    inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))),composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) )],[refute_0_1854,refute_0_1857]) ).

cnf(refute_0_1859,plain,
    complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) = complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),
    introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))]]) ).

cnf(refute_0_1860,plain,
    ( complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) != complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))
    | converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) = complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) ),[1,0],$fot(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))]]) ).

cnf(refute_0_1861,plain,
    ( converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) = complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) )],[refute_0_1859,refute_0_1860]) ).

cnf(refute_0_1862,plain,
    complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) = complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),
    inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) )],[refute_0_1858,refute_0_1861]) ).

cnf(refute_0_1863,plain,
    meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),
    introduced(tautology,[refl,[$fot(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))))]]) ).

cnf(refute_0_1864,plain,
    ( complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) != complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))
    | meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) ),[1,1],$fot(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))]]) ).

cnf(refute_0_1865,plain,
    ( complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))) != complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))
    | meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) )],[refute_0_1863,refute_0_1864]) ).

cnf(refute_0_1866,plain,
    meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) )],[refute_0_1862,refute_0_1865]) ).

cnf(refute_0_1867,plain,
    ( meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))) != meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))
    | one != meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | one = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) ),[1],$fot(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))))]]) ).

cnf(refute_0_1868,plain,
    ( one != meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))
    | one = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top)))))))),meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))) )],[refute_0_1866,refute_0_1867]) ).

cnf(refute_0_1869,plain,
    one = meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))),
    inference(resolve,[$cnf( $equal(one,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(complement(one),top))))))))) )],[refute_0_1653,refute_0_1868]) ).

cnf(refute_0_1870,plain,
    ( one != meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))
    | meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) = one ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))))]]) ).

cnf(refute_0_1871,plain,
    meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) = one,
    inference(resolve,[$cnf( $equal(one,meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))) )],[refute_0_1869,refute_0_1870]) ).

cnf(refute_0_1872,plain,
    ( complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != join(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))),meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))))
    | meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) != one
    | complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),join(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))),meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_1873,plain,
    ( complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != join(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))),meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))))
    | complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))) ),
    inference(resolve,[$cnf( $equal(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))),one) )],[refute_0_1871,refute_0_1872]) ).

cnf(refute_0_1874,plain,
    complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),join(meet(one,complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))),meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))))) )],[refute_0_1397,refute_0_1873]) ).

cnf(refute_0_1875,plain,
    ( complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))))
    | join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))) = complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))),bind(Y,$fot(join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))))))]]) ).

cnf(refute_0_1876,plain,
    join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))) = complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))))) )],[refute_0_1874,refute_0_1875]) ).

cnf(refute_0_1877,plain,
    ( composition(join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))),top) != top
    | join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))) != complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))
    | composition(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))),top),top) ),[0,0],$fot(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))]]) ).

cnf(refute_0_1878,plain,
    ( composition(join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))),top) != top
    | composition(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),top) = top ),
    inference(resolve,[$cnf( $equal(join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) )],[refute_0_1876,refute_0_1877]) ).

cnf(refute_0_1879,plain,
    composition(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),top) = top,
    inference(resolve,[$cnf( $equal(composition(join(one,meet(complement(one),complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))),top),top) )],[refute_0_1396,refute_0_1878]) ).

cnf(refute_0_1880,plain,
    ( composition(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),top) != top
    | composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),composition(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),top)) != zero
    | composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),top) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),composition(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),top)),zero) ),[0,1],$fot(top)]]) ).

cnf(refute_0_1881,plain,
    ( composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),composition(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),top)) != zero
    | composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),top) = zero ),
    inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),top),top) )],[refute_0_1879,refute_0_1880]) ).

cnf(refute_0_1882,plain,
    composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),top) = zero,
    inference(resolve,[$cnf( $equal(composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),composition(complement(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),top)),zero) )],[refute_0_1306,refute_0_1881]) ).

cnf(refute_0_1883,plain,
    composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),top) = composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,complement(composition(top,complement(one)))))),bind(X2,$fot(top))]]) ).

cnf(refute_0_1884,plain,
    ( composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),top) != composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top))
    | composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),top) != zero
    | composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),top),zero) ),[0],$fot(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)))]]) ).

cnf(refute_0_1885,plain,
    ( composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),top) != zero
    | composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)) = zero ),
    inference(resolve,[$cnf( $equal(composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),top),composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top))) )],[refute_0_1883,refute_0_1884]) ).

cnf(refute_0_1886,plain,
    composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)) = zero,
    inference(resolve,[$cnf( $equal(composition(composition(complement(one),meet(one,complement(composition(top,complement(one))))),top),zero) )],[refute_0_1882,refute_0_1885]) ).

cnf(refute_0_1887,plain,
    ( composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)) != zero
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top))))) != complement(top)
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top))))),complement(top)) ),[0,1,1,0],$fot(zero)]]) ).

cnf(refute_0_1888,plain,
    ( join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top))))) != complement(top)
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = complement(top) ),
    inference(resolve,[$cnf( $equal(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)),zero) )],[refute_0_1886,refute_0_1887]) ).

cnf(refute_0_1889,plain,
    join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = complement(top),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top))))),complement(top)) )],[refute_0_1195,refute_0_1888]) ).

cnf(refute_0_1890,plain,
    join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))]]) ).

cnf(refute_0_1891,plain,
    converse(composition(composition(complement(one),top),X1)) = composition(converse(X1),converse(composition(complement(one),top))),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(composition(complement(one),top)))]]) ).

cnf(refute_0_1892,plain,
    ( converse(composition(complement(one),top)) != composition(top,complement(one))
    | converse(composition(composition(complement(one),top),X1)) != composition(converse(X1),converse(composition(complement(one),top)))
    | converse(composition(composition(complement(one),top),X1)) = composition(converse(X1),composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(one),top),X1)),composition(converse(X1),converse(composition(complement(one),top)))) ),[1,1],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_1893,plain,
    ( converse(composition(composition(complement(one),top),X1)) != composition(converse(X1),converse(composition(complement(one),top)))
    | converse(composition(composition(complement(one),top),X1)) = composition(converse(X1),composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_1544,refute_0_1892]) ).

cnf(refute_0_1894,plain,
    converse(composition(composition(complement(one),top),X1)) = composition(converse(X1),composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(converse(composition(composition(complement(one),top),X1)),composition(converse(X1),converse(composition(complement(one),top)))) )],[refute_0_1891,refute_0_1893]) ).

cnf(refute_0_1895,plain,
    composition(composition(complement(one),top),X1) = composition(complement(one),composition(top,X1)),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(complement(one))),bind(X1,$fot(top)),bind(X2,$fot(X1))]]) ).

cnf(refute_0_1896,plain,
    converse(composition(composition(complement(one),top),X1)) = converse(composition(composition(complement(one),top),X1)),
    introduced(tautology,[refl,[$fot(converse(composition(composition(complement(one),top),X1)))]]) ).

cnf(refute_0_1897,plain,
    ( composition(composition(complement(one),top),X1) != composition(complement(one),composition(top,X1))
    | converse(composition(composition(complement(one),top),X1)) != converse(composition(composition(complement(one),top),X1))
    | converse(composition(composition(complement(one),top),X1)) = converse(composition(complement(one),composition(top,X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(one),top),X1)),converse(composition(composition(complement(one),top),X1))) ),[1,0],$fot(composition(complement(one),composition(top,X1)))]]) ).

cnf(refute_0_1898,plain,
    ( composition(composition(complement(one),top),X1) != composition(complement(one),composition(top,X1))
    | converse(composition(composition(complement(one),top),X1)) = converse(composition(complement(one),composition(top,X1))) ),
    inference(resolve,[$cnf( $equal(converse(composition(composition(complement(one),top),X1)),converse(composition(composition(complement(one),top),X1))) )],[refute_0_1896,refute_0_1897]) ).

cnf(refute_0_1899,plain,
    converse(composition(composition(complement(one),top),X1)) = converse(composition(complement(one),composition(top,X1))),
    inference(resolve,[$cnf( $equal(composition(composition(complement(one),top),X1),composition(complement(one),composition(top,X1))) )],[refute_0_1895,refute_0_1898]) ).

cnf(refute_0_1900,plain,
    ( converse(composition(composition(complement(one),top),X1)) != composition(converse(X1),composition(top,complement(one)))
    | converse(composition(composition(complement(one),top),X1)) != converse(composition(complement(one),composition(top,X1)))
    | converse(composition(complement(one),composition(top,X1))) = composition(converse(X1),composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(one),top),X1)),composition(converse(X1),composition(top,complement(one)))) ),[0],$fot(converse(composition(complement(one),composition(top,X1))))]]) ).

cnf(refute_0_1901,plain,
    ( converse(composition(composition(complement(one),top),X1)) != composition(converse(X1),composition(top,complement(one)))
    | converse(composition(complement(one),composition(top,X1))) = composition(converse(X1),composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(composition(composition(complement(one),top),X1)),converse(composition(complement(one),composition(top,X1)))) )],[refute_0_1899,refute_0_1900]) ).

cnf(refute_0_1902,plain,
    converse(composition(complement(one),composition(top,X1))) = composition(converse(X1),composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(converse(composition(composition(complement(one),top),X1)),composition(converse(X1),composition(top,complement(one)))) )],[refute_0_1894,refute_0_1901]) ).

cnf(refute_0_1903,plain,
    converse(composition(converse(composition(complement(one),top)),X_24)) = composition(converse(X_24),composition(complement(one),top)),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(composition(complement(one),top)))]]) ).

cnf(refute_0_1904,plain,
    ( converse(composition(complement(one),top)) != composition(top,complement(one))
    | converse(composition(converse(composition(complement(one),top)),X_24)) != composition(converse(X_24),composition(complement(one),top))
    | converse(composition(composition(top,complement(one)),X_24)) = composition(converse(X_24),composition(complement(one),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(complement(one),top)),X_24)),composition(converse(X_24),composition(complement(one),top))) ),[0,0,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_1905,plain,
    ( converse(composition(converse(composition(complement(one),top)),X_24)) != composition(converse(X_24),composition(complement(one),top))
    | converse(composition(composition(top,complement(one)),X_24)) = composition(converse(X_24),composition(complement(one),top)) ),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_1544,refute_0_1904]) ).

cnf(refute_0_1906,plain,
    converse(composition(composition(top,complement(one)),X_24)) = composition(converse(X_24),composition(complement(one),top)),
    inference(resolve,[$cnf( $equal(converse(composition(converse(composition(complement(one),top)),X_24)),composition(converse(X_24),composition(complement(one),top))) )],[refute_0_1903,refute_0_1905]) ).

cnf(refute_0_1907,plain,
    composition(composition(top,complement(one)),X_24) = composition(top,composition(complement(one),X_24)),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(top)),bind(X1,$fot(complement(one))),bind(X2,$fot(X_24))]]) ).

cnf(refute_0_1908,plain,
    converse(composition(composition(top,complement(one)),X_24)) = converse(composition(composition(top,complement(one)),X_24)),
    introduced(tautology,[refl,[$fot(converse(composition(composition(top,complement(one)),X_24)))]]) ).

cnf(refute_0_1909,plain,
    ( composition(composition(top,complement(one)),X_24) != composition(top,composition(complement(one),X_24))
    | converse(composition(composition(top,complement(one)),X_24)) != converse(composition(composition(top,complement(one)),X_24))
    | converse(composition(composition(top,complement(one)),X_24)) = converse(composition(top,composition(complement(one),X_24))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(one)),X_24)),converse(composition(composition(top,complement(one)),X_24))) ),[1,0],$fot(composition(top,composition(complement(one),X_24)))]]) ).

cnf(refute_0_1910,plain,
    ( composition(composition(top,complement(one)),X_24) != composition(top,composition(complement(one),X_24))
    | converse(composition(composition(top,complement(one)),X_24)) = converse(composition(top,composition(complement(one),X_24))) ),
    inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(one)),X_24)),converse(composition(composition(top,complement(one)),X_24))) )],[refute_0_1908,refute_0_1909]) ).

cnf(refute_0_1911,plain,
    converse(composition(composition(top,complement(one)),X_24)) = converse(composition(top,composition(complement(one),X_24))),
    inference(resolve,[$cnf( $equal(composition(composition(top,complement(one)),X_24),composition(top,composition(complement(one),X_24))) )],[refute_0_1907,refute_0_1910]) ).

cnf(refute_0_1912,plain,
    ( converse(composition(composition(top,complement(one)),X_24)) != composition(converse(X_24),composition(complement(one),top))
    | converse(composition(composition(top,complement(one)),X_24)) != converse(composition(top,composition(complement(one),X_24)))
    | converse(composition(top,composition(complement(one),X_24))) = composition(converse(X_24),composition(complement(one),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(one)),X_24)),composition(converse(X_24),composition(complement(one),top))) ),[0],$fot(converse(composition(top,composition(complement(one),X_24))))]]) ).

cnf(refute_0_1913,plain,
    ( converse(composition(composition(top,complement(one)),X_24)) != composition(converse(X_24),composition(complement(one),top))
    | converse(composition(top,composition(complement(one),X_24))) = composition(converse(X_24),composition(complement(one),top)) ),
    inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(one)),X_24)),converse(composition(top,composition(complement(one),X_24)))) )],[refute_0_1911,refute_0_1912]) ).

cnf(refute_0_1914,plain,
    converse(composition(top,composition(complement(one),X_24))) = composition(converse(X_24),composition(complement(one),top)),
    inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(one)),X_24)),composition(converse(X_24),composition(complement(one),top))) )],[refute_0_1906,refute_0_1913]) ).

cnf(refute_0_1915,plain,
    ( converse(composition(complement(one),composition(top,X1))) != composition(converse(X1),composition(top,complement(one)))
    | composition(converse(X1),composition(top,complement(one))) = converse(composition(complement(one),composition(top,X1))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(complement(one),composition(top,X1))))),bind(Y,$fot(composition(converse(X1),composition(top,complement(one)))))]]) ).

cnf(refute_0_1916,plain,
    composition(converse(X1),composition(top,complement(one))) = converse(composition(complement(one),composition(top,X1))),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),composition(top,X1))),composition(converse(X1),composition(top,complement(one)))) )],[refute_0_1902,refute_0_1915]) ).

cnf(refute_0_1917,plain,
    composition(converse(X_24),composition(top,complement(one))) = converse(composition(complement(one),composition(top,X_24))),
    inference(subst,[],[refute_0_1916:[bind(X1,$fot(X_24))]]) ).

cnf(refute_0_1918,plain,
    composition(converse(X_24),composition(complement(one),top)) = composition(converse(X_24),composition(complement(one),top)),
    introduced(tautology,[refl,[$fot(composition(converse(X_24),composition(complement(one),top)))]]) ).

cnf(refute_0_1919,plain,
    ( composition(complement(one),top) != composition(top,complement(one))
    | composition(converse(X_24),composition(complement(one),top)) != composition(converse(X_24),composition(complement(one),top))
    | composition(converse(X_24),composition(complement(one),top)) = composition(converse(X_24),composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_24),composition(complement(one),top)),composition(converse(X_24),composition(complement(one),top))) ),[1,1],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_1920,plain,
    ( composition(complement(one),top) != composition(top,complement(one))
    | composition(converse(X_24),composition(complement(one),top)) = composition(converse(X_24),composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_24),composition(complement(one),top)),composition(converse(X_24),composition(complement(one),top))) )],[refute_0_1918,refute_0_1919]) ).

cnf(refute_0_1921,plain,
    composition(converse(X_24),composition(complement(one),top)) = composition(converse(X_24),composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_1838,refute_0_1920]) ).

cnf(refute_0_1922,plain,
    ( composition(converse(X_24),composition(complement(one),top)) != composition(converse(X_24),composition(top,complement(one)))
    | composition(converse(X_24),composition(top,complement(one))) != converse(composition(complement(one),composition(top,X_24)))
    | composition(converse(X_24),composition(complement(one),top)) = converse(composition(complement(one),composition(top,X_24))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(X_24),composition(complement(one),top)))),bind(Y,$fot(composition(converse(X_24),composition(top,complement(one))))),bind(Z,$fot(converse(composition(complement(one),composition(top,X_24)))))]]) ).

cnf(refute_0_1923,plain,
    ( composition(converse(X_24),composition(top,complement(one))) != converse(composition(complement(one),composition(top,X_24)))
    | composition(converse(X_24),composition(complement(one),top)) = converse(composition(complement(one),composition(top,X_24))) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_24),composition(complement(one),top)),composition(converse(X_24),composition(top,complement(one)))) )],[refute_0_1921,refute_0_1922]) ).

cnf(refute_0_1924,plain,
    composition(converse(X_24),composition(complement(one),top)) = converse(composition(complement(one),composition(top,X_24))),
    inference(resolve,[$cnf( $equal(composition(converse(X_24),composition(top,complement(one))),converse(composition(complement(one),composition(top,X_24)))) )],[refute_0_1917,refute_0_1923]) ).

cnf(refute_0_1925,plain,
    ( composition(converse(X_24),composition(complement(one),top)) != converse(composition(complement(one),composition(top,X_24)))
    | converse(composition(top,composition(complement(one),X_24))) != composition(converse(X_24),composition(complement(one),top))
    | converse(composition(top,composition(complement(one),X_24))) = converse(composition(complement(one),composition(top,X_24))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),X_24))),composition(converse(X_24),composition(complement(one),top))) ),[1],$fot(converse(composition(complement(one),composition(top,X_24))))]]) ).

cnf(refute_0_1926,plain,
    ( converse(composition(top,composition(complement(one),X_24))) != composition(converse(X_24),composition(complement(one),top))
    | converse(composition(top,composition(complement(one),X_24))) = converse(composition(complement(one),composition(top,X_24))) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_24),composition(complement(one),top)),converse(composition(complement(one),composition(top,X_24)))) )],[refute_0_1924,refute_0_1925]) ).

cnf(refute_0_1927,plain,
    converse(composition(top,composition(complement(one),X_24))) = converse(composition(complement(one),composition(top,X_24))),
    inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),X_24))),composition(converse(X_24),composition(complement(one),top))) )],[refute_0_1914,refute_0_1926]) ).

cnf(refute_0_1928,plain,
    ( converse(composition(top,composition(complement(one),X_24))) != converse(composition(complement(one),composition(top,X_24)))
    | converse(composition(complement(one),composition(top,X_24))) = converse(composition(top,composition(complement(one),X_24))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(top,composition(complement(one),X_24))))),bind(Y,$fot(converse(composition(complement(one),composition(top,X_24)))))]]) ).

cnf(refute_0_1929,plain,
    converse(composition(complement(one),composition(top,X_24))) = converse(composition(top,composition(complement(one),X_24))),
    inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),X_24))),converse(composition(complement(one),composition(top,X_24)))) )],[refute_0_1927,refute_0_1928]) ).

cnf(refute_0_1930,plain,
    converse(composition(complement(one),composition(top,X1))) = converse(composition(top,composition(complement(one),X1))),
    inference(subst,[],[refute_0_1929:[bind(X_24,$fot(X1))]]) ).

cnf(refute_0_1931,plain,
    ( converse(composition(complement(one),composition(top,X1))) != composition(converse(X1),composition(top,complement(one)))
    | converse(composition(complement(one),composition(top,X1))) != converse(composition(top,composition(complement(one),X1)))
    | converse(composition(top,composition(complement(one),X1))) = composition(converse(X1),composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(one),composition(top,X1))),composition(converse(X1),composition(top,complement(one)))) ),[0],$fot(converse(composition(top,composition(complement(one),X1))))]]) ).

cnf(refute_0_1932,plain,
    ( converse(composition(complement(one),composition(top,X1))) != composition(converse(X1),composition(top,complement(one)))
    | converse(composition(top,composition(complement(one),X1))) = composition(converse(X1),composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),composition(top,X1))),converse(composition(top,composition(complement(one),X1)))) )],[refute_0_1930,refute_0_1931]) ).

cnf(refute_0_1933,plain,
    converse(composition(top,composition(complement(one),X1))) = composition(converse(X1),composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),composition(top,X1))),composition(converse(X1),composition(top,complement(one)))) )],[refute_0_1902,refute_0_1932]) ).

cnf(refute_0_1934,plain,
    ( converse(composition(top,composition(complement(one),X1))) != composition(converse(X1),composition(top,complement(one)))
    | composition(converse(X1),composition(top,complement(one))) = converse(composition(top,composition(complement(one),X1))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(top,composition(complement(one),X1))))),bind(Y,$fot(composition(converse(X1),composition(top,complement(one)))))]]) ).

cnf(refute_0_1935,plain,
    composition(converse(X1),composition(top,complement(one))) = converse(composition(top,composition(complement(one),X1))),
    inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),X1))),composition(converse(X1),composition(top,complement(one)))) )],[refute_0_1933,refute_0_1934]) ).

cnf(refute_0_1936,plain,
    composition(converse(meet(one,complement(composition(top,complement(one))))),composition(top,complement(one))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),
    inference(subst,[],[refute_0_1935:[bind(X1,$fot(meet(one,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_1937,plain,
    composition(complement(one),complement(zero)) = composition(complement(one),complement(zero)),
    introduced(tautology,[refl,[$fot(composition(complement(one),complement(zero)))]]) ).

cnf(refute_0_1938,plain,
    ( complement(zero) != top
    | composition(complement(one),complement(zero)) != composition(complement(one),complement(zero))
    | composition(complement(one),complement(zero)) = composition(complement(one),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),complement(zero)),composition(complement(one),complement(zero))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_1939,plain,
    ( complement(zero) != top
    | composition(complement(one),complement(zero)) = composition(complement(one),top) ),
    inference(resolve,[$cnf( $equal(composition(complement(one),complement(zero)),composition(complement(one),complement(zero))) )],[refute_0_1937,refute_0_1938]) ).

cnf(refute_0_1940,plain,
    composition(complement(one),complement(zero)) = composition(complement(one),top),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1330,refute_0_1939]) ).

cnf(refute_0_1941,plain,
    ( composition(complement(one),complement(zero)) != composition(complement(one),top)
    | composition(complement(one),top) != composition(top,complement(one))
    | composition(complement(one),complement(zero)) = composition(top,complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(complement(one),complement(zero)))),bind(Y,$fot(composition(complement(one),top))),bind(Z,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_1942,plain,
    ( composition(complement(one),top) != composition(top,complement(one))
    | composition(complement(one),complement(zero)) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(complement(one),complement(zero)),composition(complement(one),top)) )],[refute_0_1940,refute_0_1941]) ).

cnf(refute_0_1943,plain,
    composition(complement(one),complement(zero)) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_1838,refute_0_1942]) ).

cnf(refute_0_1944,plain,
    composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) = composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))),
    introduced(tautology,[refl,[$fot(composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))))]]) ).

cnf(refute_0_1945,plain,
    ( composition(complement(one),complement(zero)) != composition(top,complement(one))
    | composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) != composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero)))
    | composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) = composition(converse(meet(one,complement(composition(top,complement(one))))),composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))),composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero)))) ),[1,1],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_1946,plain,
    ( composition(complement(one),complement(zero)) != composition(top,complement(one))
    | composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) = composition(converse(meet(one,complement(composition(top,complement(one))))),composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))),composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero)))) )],[refute_0_1944,refute_0_1945]) ).

cnf(refute_0_1947,plain,
    composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) = composition(converse(meet(one,complement(composition(top,complement(one))))),composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(composition(complement(one),complement(zero)),composition(top,complement(one))) )],[refute_0_1943,refute_0_1946]) ).

cnf(refute_0_1948,plain,
    ( composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) != composition(converse(meet(one,complement(composition(top,complement(one))))),composition(top,complement(one)))
    | composition(converse(meet(one,complement(composition(top,complement(one))))),composition(top,complement(one))) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))))),bind(Y,$fot(composition(converse(meet(one,complement(composition(top,complement(one))))),composition(top,complement(one))))),bind(Z,$fot(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))]]) ).

cnf(refute_0_1949,plain,
    ( composition(converse(meet(one,complement(composition(top,complement(one))))),composition(top,complement(one))) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) ),
    inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))),composition(converse(meet(one,complement(composition(top,complement(one))))),composition(top,complement(one)))) )],[refute_0_1947,refute_0_1948]) ).

cnf(refute_0_1950,plain,
    composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),
    inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(composition(top,complement(one))))),composition(top,complement(one))),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) )],[refute_0_1936,refute_0_1949]) ).

cnf(refute_0_1951,plain,
    composition(converse(X_285),composition(complement(one),X2)) = composition(composition(converse(X_285),complement(one)),X2),
    inference(subst,[],[refute_0_1188:[bind(X0,$fot(converse(X_285))),bind(X1,$fot(complement(one)))]]) ).

cnf(refute_0_1952,plain,
    converse(composition(converse(complement(one)),X_24)) = composition(converse(X_24),complement(one)),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(complement(one)))]]) ).

cnf(refute_0_1953,plain,
    ( converse(complement(one)) != complement(one)
    | converse(composition(converse(complement(one)),X_24)) != composition(converse(X_24),complement(one))
    | converse(composition(complement(one),X_24)) = composition(converse(X_24),complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(one)),X_24)),composition(converse(X_24),complement(one))) ),[0,0,0],$fot(complement(one))]]) ).

cnf(refute_0_1954,plain,
    ( converse(composition(converse(complement(one)),X_24)) != composition(converse(X_24),complement(one))
    | converse(composition(complement(one),X_24)) = composition(converse(X_24),complement(one)) ),
    inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1519,refute_0_1953]) ).

cnf(refute_0_1955,plain,
    converse(composition(complement(one),X_24)) = composition(converse(X_24),complement(one)),
    inference(resolve,[$cnf( $equal(converse(composition(converse(complement(one)),X_24)),composition(converse(X_24),complement(one))) )],[refute_0_1952,refute_0_1954]) ).

cnf(refute_0_1956,plain,
    converse(composition(complement(one),X_285)) = composition(converse(X_285),complement(one)),
    inference(subst,[],[refute_0_1955:[bind(X_24,$fot(X_285))]]) ).

cnf(refute_0_1957,plain,
    ( converse(composition(complement(one),X_285)) != composition(converse(X_285),complement(one))
    | composition(converse(X_285),complement(one)) = converse(composition(complement(one),X_285)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(complement(one),X_285)))),bind(Y,$fot(composition(converse(X_285),complement(one))))]]) ).

cnf(refute_0_1958,plain,
    composition(converse(X_285),complement(one)) = converse(composition(complement(one),X_285)),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),X_285)),composition(converse(X_285),complement(one))) )],[refute_0_1956,refute_0_1957]) ).

cnf(refute_0_1959,plain,
    ( composition(converse(X_285),complement(one)) != converse(composition(complement(one),X_285))
    | composition(converse(X_285),composition(complement(one),X2)) != composition(composition(converse(X_285),complement(one)),X2)
    | composition(converse(X_285),composition(complement(one),X2)) = composition(converse(composition(complement(one),X_285)),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_285),composition(complement(one),X2)),composition(composition(converse(X_285),complement(one)),X2)) ),[1,0],$fot(converse(composition(complement(one),X_285)))]]) ).

cnf(refute_0_1960,plain,
    ( composition(converse(X_285),composition(complement(one),X2)) != composition(composition(converse(X_285),complement(one)),X2)
    | composition(converse(X_285),composition(complement(one),X2)) = composition(converse(composition(complement(one),X_285)),X2) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_285),complement(one)),converse(composition(complement(one),X_285))) )],[refute_0_1958,refute_0_1959]) ).

cnf(refute_0_1961,plain,
    composition(converse(X_285),composition(complement(one),X2)) = composition(converse(composition(complement(one),X_285)),X2),
    inference(resolve,[$cnf( $equal(composition(converse(X_285),composition(complement(one),X2)),composition(composition(converse(X_285),complement(one)),X2)) )],[refute_0_1951,refute_0_1960]) ).

cnf(refute_0_1962,plain,
    ( composition(converse(X_285),composition(complement(one),X2)) != composition(converse(composition(complement(one),X_285)),X2)
    | composition(converse(composition(complement(one),X_285)),X2) = composition(converse(X_285),composition(complement(one),X2)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(converse(X_285),composition(complement(one),X2)))),bind(Y,$fot(composition(converse(composition(complement(one),X_285)),X2)))]]) ).

cnf(refute_0_1963,plain,
    composition(converse(composition(complement(one),X_285)),X2) = composition(converse(X_285),composition(complement(one),X2)),
    inference(resolve,[$cnf( $equal(composition(converse(X_285),composition(complement(one),X2)),composition(converse(composition(complement(one),X_285)),X2)) )],[refute_0_1961,refute_0_1962]) ).

cnf(refute_0_1964,plain,
    composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)) = composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))),
    inference(subst,[],[refute_0_1963:[bind(X2,$fot(complement(zero))),bind(X_285,$fot(meet(one,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_1965,plain,
    ( composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)) != composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero)))
    | composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)))),bind(Y,$fot(composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))))),bind(Z,$fot(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))]]) ).

cnf(refute_0_1966,plain,
    ( composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) ),
    inference(resolve,[$cnf( $equal(composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)),composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero)))) )],[refute_0_1964,refute_0_1965]) ).

cnf(refute_0_1967,plain,
    composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),
    inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(composition(top,complement(one))))),composition(complement(one),complement(zero))),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) )],[refute_0_1950,refute_0_1966]) ).

cnf(refute_0_1968,plain,
    join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),
    introduced(tautology,[refl,[$fot(join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))))]]) ).

cnf(refute_0_1969,plain,
    ( composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) != join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)))
    | join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)))) ),[1,1],$fot(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))]]) ).

cnf(refute_0_1970,plain,
    ( composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)))) )],[refute_0_1968,refute_0_1969]) ).

cnf(refute_0_1971,plain,
    join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),
    inference(resolve,[$cnf( $equal(composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) )],[refute_0_1967,refute_0_1970]) ).

cnf(refute_0_1972,plain,
    join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))))]]) ).

cnf(refute_0_1973,plain,
    ( complement(top) != zero
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) != join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)))
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1974,plain,
    ( complement(top) != zero
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)))) )],[refute_0_1972,refute_0_1973]) ).

cnf(refute_0_1975,plain,
    join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_1974]) ).

cnf(refute_0_1976,plain,
    ( join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) != join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)))
    | join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) != join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))))),bind(Y,$fot(join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))))),bind(Z,$fot(join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))))]]) ).

cnf(refute_0_1977,plain,
    ( join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) != join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero)))) )],[refute_0_1975,refute_0_1976]) ).

cnf(refute_0_1978,plain,
    join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) )],[refute_0_1971,refute_0_1977]) ).

cnf(refute_0_1979,plain,
    ( join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) != join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))
    | join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))))),bind(Y,$fot(join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))),bind(Z,$fot(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))))]]) ).

cnf(refute_0_1980,plain,
    ( join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) )],[refute_0_1978,refute_0_1979]) ).

cnf(refute_0_1981,plain,
    join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) = converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),
    inference(resolve,[$cnf( $equal(join(zero,converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) )],[refute_0_1890,refute_0_1980]) ).

cnf(refute_0_1982,plain,
    ( join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) != complement(top)
    | join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) != converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))
    | converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),complement(top)) ),[0],$fot(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))]]) ).

cnf(refute_0_1983,plain,
    ( join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) != complement(top)
    | converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) = complement(top) ),
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) )],[refute_0_1981,refute_0_1982]) ).

cnf(refute_0_1984,plain,
    ( complement(top) != zero
    | converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) != complement(top)
    | converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_1985,plain,
    ( converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) != complement(top)
    | converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_1984]) ).

cnf(refute_0_1986,plain,
    ( join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))) != complement(top)
    | converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) = zero ),
    inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),complement(top)) )],[refute_0_1983,refute_0_1985]) ).

cnf(refute_0_1987,plain,
    converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) = zero,
    inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(one),meet(one,complement(composition(top,complement(one)))))),complement(zero))),complement(top)) )],[refute_0_1889,refute_0_1986]) ).

cnf(refute_0_1988,plain,
    ( converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) != zero
    | join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) != join(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),join(X_10,converse(X_9)))
    | join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(zero,join(X_10,converse(X_9))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10),join(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),join(X_10,converse(X_9)))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_1989,plain,
    ( join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) != join(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),join(X_10,converse(X_9)))
    | join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(zero,join(X_10,converse(X_9))) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),zero) )],[refute_0_1987,refute_0_1988]) ).

cnf(refute_0_1990,plain,
    join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(zero,join(X_10,converse(X_9))),
    inference(resolve,[$cnf( $equal(join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10),join(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),join(X_10,converse(X_9)))) )],[refute_0_1186,refute_0_1989]) ).

cnf(refute_0_1991,plain,
    join(zero,join(X_10,converse(X_9))) = join(X_10,converse(X_9)),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(join(X_10,converse(X_9))))]]) ).

cnf(refute_0_1992,plain,
    ( join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) != join(zero,join(X_10,converse(X_9)))
    | join(zero,join(X_10,converse(X_9))) != join(X_10,converse(X_9))
    | join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(X_10,converse(X_9)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10),join(X_10,converse(X_9))) ),[0],$fot(join(zero,join(X_10,converse(X_9))))]]) ).

cnf(refute_0_1993,plain,
    ( join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) != join(zero,join(X_10,converse(X_9)))
    | join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(X_10,converse(X_9)) ),
    inference(resolve,[$cnf( $equal(join(zero,join(X_10,converse(X_9))),join(X_10,converse(X_9))) )],[refute_0_1991,refute_0_1992]) ).

cnf(refute_0_1994,plain,
    join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(X_10,converse(X_9)),
    inference(resolve,[$cnf( $equal(join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10),join(zero,join(X_10,converse(X_9)))) )],[refute_0_1990,refute_0_1993]) ).

cnf(refute_0_1995,plain,
    converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = join(converse(X0),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),
    inference(subst,[],[refute_0_44:[bind(X1,$fot(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))]]) ).

cnf(refute_0_1996,plain,
    ( converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))) != zero
    | converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != join(converse(X0),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))
    | converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = join(converse(X0),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),join(converse(X0),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_1997,plain,
    ( converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != join(converse(X0),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))
    | converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = join(converse(X0),zero) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))),zero) )],[refute_0_1987,refute_0_1996]) ).

cnf(refute_0_1998,plain,
    converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = join(converse(X0),zero),
    inference(resolve,[$cnf( $equal(converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),join(converse(X0),converse(composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one))))))))) )],[refute_0_1995,refute_0_1997]) ).

cnf(refute_0_1999,plain,
    join(converse(X0),zero) = join(zero,converse(X0)),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(X0))),bind(X1,$fot(zero))]]) ).

cnf(refute_0_2000,plain,
    ( join(converse(X0),zero) != join(zero,converse(X0))
    | join(zero,converse(X0)) != converse(X0)
    | join(converse(X0),zero) = converse(X0) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(X0),zero))),bind(Y,$fot(join(zero,converse(X0)))),bind(Z,$fot(converse(X0)))]]) ).

cnf(refute_0_2001,plain,
    ( join(zero,converse(X0)) != converse(X0)
    | join(converse(X0),zero) = converse(X0) ),
    inference(resolve,[$cnf( $equal(join(converse(X0),zero),join(zero,converse(X0))) )],[refute_0_1999,refute_0_2000]) ).

cnf(refute_0_2002,plain,
    join(converse(X0),zero) = converse(X0),
    inference(resolve,[$cnf( $equal(join(zero,converse(X0)),converse(X0)) )],[refute_0_1046,refute_0_2001]) ).

cnf(refute_0_2003,plain,
    ( converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != join(converse(X0),zero)
    | join(converse(X0),zero) != converse(X0)
    | converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = converse(X0) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),converse(X0)) ),[0],$fot(join(converse(X0),zero))]]) ).

cnf(refute_0_2004,plain,
    ( converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != join(converse(X0),zero)
    | converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = converse(X0) ),
    inference(resolve,[$cnf( $equal(join(converse(X0),zero),converse(X0)) )],[refute_0_2002,refute_0_2003]) ).

cnf(refute_0_2005,plain,
    converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = converse(X0),
    inference(resolve,[$cnf( $equal(converse(join(X0,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),join(converse(X0),zero)) )],[refute_0_1998,refute_0_2004]) ).

cnf(refute_0_2006,plain,
    converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) = converse(X_9),
    inference(subst,[],[refute_0_2005:[bind(X0,$fot(X_9))]]) ).

cnf(refute_0_2007,plain,
    join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10),
    introduced(tautology,[refl,[$fot(join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10))]]) ).

cnf(refute_0_2008,plain,
    ( converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != converse(X_9)
    | join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) != join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10)
    | join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(converse(X_9),X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10),join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10)) ),[1,0],$fot(converse(X_9))]]) ).

cnf(refute_0_2009,plain,
    ( converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))) != converse(X_9)
    | join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(converse(X_9),X_10) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10),join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10)) )],[refute_0_2007,refute_0_2008]) ).

cnf(refute_0_2010,plain,
    join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) = join(converse(X_9),X_10),
    inference(resolve,[$cnf( $equal(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),converse(X_9)) )],[refute_0_2006,refute_0_2009]) ).

cnf(refute_0_2011,plain,
    ( join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) != join(X_10,converse(X_9))
    | join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) != join(converse(X_9),X_10)
    | join(converse(X_9),X_10) = join(X_10,converse(X_9)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10),join(X_10,converse(X_9))) ),[0],$fot(join(converse(X_9),X_10))]]) ).

cnf(refute_0_2012,plain,
    ( join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10) != join(X_10,converse(X_9))
    | join(converse(X_9),X_10) = join(X_10,converse(X_9)) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10),join(converse(X_9),X_10)) )],[refute_0_2010,refute_0_2011]) ).

cnf(refute_0_2013,plain,
    join(converse(X_9),X_10) = join(X_10,converse(X_9)),
    inference(resolve,[$cnf( $equal(join(converse(join(X_9,composition(top,composition(complement(one),meet(one,complement(composition(top,complement(one)))))))),X_10),join(X_10,converse(X_9))) )],[refute_0_1994,refute_0_2012]) ).

cnf(refute_0_2014,plain,
    join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(subst,[],[refute_0_2013:[bind(X_10,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))),bind(X_9,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).

cnf(refute_0_2015,plain,
    composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,join(one,complement(one))),
    introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(one,complement(one))))]]) ).

cnf(refute_0_2016,plain,
    ( composition(skolemFOFtoCNF_X0,join(one,complement(one))) != composition(skolemFOFtoCNF_X0,join(one,complement(one)))
    | join(one,complement(one)) != top
    | composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(one))),composition(skolemFOFtoCNF_X0,join(one,complement(one)))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2017,plain,
    ( join(one,complement(one)) != top
    | composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(one))),composition(skolemFOFtoCNF_X0,join(one,complement(one)))) )],[refute_0_2015,refute_0_2016]) ).

cnf(refute_0_2018,plain,
    composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,top),
    inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_1670,refute_0_2017]) ).

cnf(refute_0_2019,plain,
    converse(converse(join(X_298,composition(X_298,X_299)))) = join(X_298,composition(X_298,X_299)),
    inference(subst,[],[refute_0_19:[bind(X0,$fot(join(X_298,composition(X_298,X_299))))]]) ).

cnf(refute_0_2020,plain,
    composition(join(converse(X1),one),converse(X0)) = join(converse(X0),composition(converse(X1),converse(X0))),
    inference(subst,[],[refute_0_116:[bind(X_67,$fot(converse(X1))),bind(X_69,$fot(converse(X0)))]]) ).

cnf(refute_0_2021,plain,
    ( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
    | composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).

cnf(refute_0_2022,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_12,refute_0_2021]) ).

cnf(refute_0_2023,plain,
    ( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
    | composition(join(converse(X1),one),converse(X0)) != join(converse(X0),composition(converse(X1),converse(X0)))
    | composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),composition(converse(X1),converse(X0)))) ),[1,1],$fot(converse(composition(X0,X1)))]]) ).

cnf(refute_0_2024,plain,
    ( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),composition(converse(X1),converse(X0)))
    | composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))) ),
    inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_2022,refute_0_2023]) ).

cnf(refute_0_2025,plain,
    composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))),
    inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),composition(converse(X1),converse(X0)))) )],[refute_0_2020,refute_0_2024]) ).

cnf(refute_0_2026,plain,
    join(converse(one),X1) = join(converse(one),X1),
    introduced(tautology,[refl,[$fot(join(converse(one),X1))]]) ).

cnf(refute_0_2027,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_2028,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_2026,refute_0_2027]) ).

cnf(refute_0_2029,plain,
    join(converse(one),X1) = join(one,X1),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_99,refute_0_2028]) ).

cnf(refute_0_2030,plain,
    composition(X0,join(converse(one),X1)) = composition(X0,join(converse(one),X1)),
    introduced(tautology,[refl,[$fot(composition(X0,join(converse(one),X1)))]]) ).

cnf(refute_0_2031,plain,
    ( composition(X0,join(converse(one),X1)) != composition(X0,join(converse(one),X1))
    | join(converse(one),X1) != join(one,X1)
    | composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(converse(one),X1))) ),[1,1],$fot(join(one,X1))]]) ).

cnf(refute_0_2032,plain,
    ( join(converse(one),X1) != join(one,X1)
    | composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)) ),
    inference(resolve,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(converse(one),X1))) )],[refute_0_2030,refute_0_2031]) ).

cnf(refute_0_2033,plain,
    composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)),
    inference(resolve,[$cnf( $equal(join(converse(one),X1),join(one,X1)) )],[refute_0_2029,refute_0_2032]) ).

cnf(refute_0_2034,plain,
    converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(converse(one),X1))),
    introduced(tautology,[refl,[$fot(converse(composition(X0,join(converse(one),X1))))]]) ).

cnf(refute_0_2035,plain,
    ( composition(X0,join(converse(one),X1)) != composition(X0,join(one,X1))
    | converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(converse(one),X1)))
    | converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(converse(one),X1)))) ),[1,0],$fot(composition(X0,join(one,X1)))]]) ).

cnf(refute_0_2036,plain,
    ( composition(X0,join(converse(one),X1)) != composition(X0,join(one,X1))
    | converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))) ),
    inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_2034,refute_0_2035]) ).

cnf(refute_0_2037,plain,
    converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))),
    inference(resolve,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(one,X1))) )],[refute_0_2033,refute_0_2036]) ).

cnf(refute_0_2038,plain,
    converse(composition(X_23,join(converse(X0),X_6))) = composition(converse(join(converse(X0),X_6)),converse(X_23)),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(X_23)),bind(X1,$fot(join(converse(X0),X_6)))]]) ).

cnf(refute_0_2039,plain,
    ( converse(composition(X_23,join(converse(X0),X_6))) != composition(converse(join(converse(X0),X_6)),converse(X_23))
    | converse(join(converse(X0),X_6)) != join(X0,converse(X_6))
    | converse(composition(X_23,join(converse(X0),X_6))) = composition(join(X0,converse(X_6)),converse(X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_23,join(converse(X0),X_6))),composition(converse(join(converse(X0),X_6)),converse(X_23))) ),[1,0],$fot(join(X0,converse(X_6)))]]) ).

cnf(refute_0_2040,plain,
    ( converse(composition(X_23,join(converse(X0),X_6))) != composition(converse(join(converse(X0),X_6)),converse(X_23))
    | converse(composition(X_23,join(converse(X0),X_6))) = composition(join(X0,converse(X_6)),converse(X_23)) ),
    inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_6)),join(X0,converse(X_6))) )],[refute_0_489,refute_0_2039]) ).

cnf(refute_0_2041,plain,
    converse(composition(X_23,join(converse(X0),X_6))) = composition(join(X0,converse(X_6)),converse(X_23)),
    inference(resolve,[$cnf( $equal(converse(composition(X_23,join(converse(X0),X_6))),composition(converse(join(converse(X0),X_6)),converse(X_23))) )],[refute_0_2038,refute_0_2040]) ).

cnf(refute_0_2042,plain,
    ( converse(composition(X_23,join(converse(X0),X_6))) != composition(join(X0,converse(X_6)),converse(X_23))
    | composition(join(X0,converse(X_6)),converse(X_23)) = converse(composition(X_23,join(converse(X0),X_6))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X_23,join(converse(X0),X_6))))),bind(Y,$fot(composition(join(X0,converse(X_6)),converse(X_23))))]]) ).

cnf(refute_0_2043,plain,
    composition(join(X0,converse(X_6)),converse(X_23)) = converse(composition(X_23,join(converse(X0),X_6))),
    inference(resolve,[$cnf( $equal(converse(composition(X_23,join(converse(X0),X_6))),composition(join(X0,converse(X_6)),converse(X_23))) )],[refute_0_2041,refute_0_2042]) ).

cnf(refute_0_2044,plain,
    composition(join(one,converse(X1)),converse(X0)) = converse(composition(X0,join(converse(one),X1))),
    inference(subst,[],[refute_0_2043:[bind(X0,$fot(one)),bind(X_23,$fot(X0)),bind(X_6,$fot(X1))]]) ).

cnf(refute_0_2045,plain,
    composition(join(converse(X1),one),converse(X0)) = composition(join(one,converse(X1)),converse(X0)),
    inference(subst,[],[refute_0_1817:[bind(X0,$fot(converse(X1))),bind(X1,$fot(one)),bind(X2,$fot(converse(X0)))]]) ).

cnf(refute_0_2046,plain,
    ( composition(join(converse(X1),one),converse(X0)) != composition(join(one,converse(X1)),converse(X0))
    | composition(join(one,converse(X1)),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
    | composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(converse(X1),one),converse(X0)))),bind(Y,$fot(composition(join(one,converse(X1)),converse(X0)))),bind(Z,$fot(converse(composition(X0,join(converse(one),X1)))))]]) ).

cnf(refute_0_2047,plain,
    ( composition(join(one,converse(X1)),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
    | composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))) ),
    inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),composition(join(one,converse(X1)),converse(X0))) )],[refute_0_2045,refute_0_2046]) ).

cnf(refute_0_2048,plain,
    composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))),
    inference(resolve,[$cnf( $equal(composition(join(one,converse(X1)),converse(X0)),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_2044,refute_0_2047]) ).

cnf(refute_0_2049,plain,
    ( composition(join(converse(X1),one),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
    | converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(one,X1)))
    | composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(converse(X1),one),converse(X0)))),bind(Y,$fot(converse(composition(X0,join(converse(one),X1))))),bind(Z,$fot(converse(composition(X0,join(one,X1)))))]]) ).

cnf(refute_0_2050,plain,
    ( converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(one,X1)))
    | composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))) ),
    inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_2048,refute_0_2049]) ).

cnf(refute_0_2051,plain,
    composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))),
    inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(one,X1)))) )],[refute_0_2037,refute_0_2050]) ).

cnf(refute_0_2052,plain,
    ( composition(join(converse(X1),one),converse(X0)) != converse(composition(X0,join(one,X1)))
    | composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
    | converse(composition(X0,join(one,X1))) = join(converse(X0),converse(composition(X0,X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),converse(composition(X0,X1)))) ),[0],$fot(converse(composition(X0,join(one,X1))))]]) ).

cnf(refute_0_2053,plain,
    ( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
    | converse(composition(X0,join(one,X1))) = join(converse(X0),converse(composition(X0,X1))) ),
    inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),converse(composition(X0,join(one,X1)))) )],[refute_0_2051,refute_0_2052]) ).

cnf(refute_0_2054,plain,
    join(converse(X0),converse(composition(X0,X1))) = converse(join(X0,composition(X0,X1))),
    inference(subst,[],[refute_0_50:[bind(X1,$fot(composition(X0,X1)))]]) ).

cnf(refute_0_2055,plain,
    ( converse(composition(X0,join(one,X1))) != join(converse(X0),converse(composition(X0,X1)))
    | join(converse(X0),converse(composition(X0,X1))) != converse(join(X0,composition(X0,X1)))
    | converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(X0,join(one,X1))),converse(join(X0,composition(X0,X1)))) ),[0],$fot(join(converse(X0),converse(composition(X0,X1))))]]) ).

cnf(refute_0_2056,plain,
    ( converse(composition(X0,join(one,X1))) != join(converse(X0),converse(composition(X0,X1)))
    | converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
    inference(resolve,[$cnf( $equal(join(converse(X0),converse(composition(X0,X1))),converse(join(X0,composition(X0,X1)))) )],[refute_0_2054,refute_0_2055]) ).

cnf(refute_0_2057,plain,
    ( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
    | converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
    inference(resolve,[$cnf( $equal(converse(composition(X0,join(one,X1))),join(converse(X0),converse(composition(X0,X1)))) )],[refute_0_2053,refute_0_2056]) ).

cnf(refute_0_2058,plain,
    converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))),
    inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),converse(composition(X0,X1)))) )],[refute_0_2025,refute_0_2057]) ).

cnf(refute_0_2059,plain,
    converse(composition(X_298,join(one,X_299))) = converse(join(X_298,composition(X_298,X_299))),
    inference(subst,[],[refute_0_2058:[bind(X0,$fot(X_298)),bind(X1,$fot(X_299))]]) ).

cnf(refute_0_2060,plain,
    ( converse(composition(X_298,join(one,X_299))) != converse(join(X_298,composition(X_298,X_299)))
    | converse(join(X_298,composition(X_298,X_299))) = converse(composition(X_298,join(one,X_299))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X_298,join(one,X_299))))),bind(Y,$fot(converse(join(X_298,composition(X_298,X_299)))))]]) ).

cnf(refute_0_2061,plain,
    converse(join(X_298,composition(X_298,X_299))) = converse(composition(X_298,join(one,X_299))),
    inference(resolve,[$cnf( $equal(converse(composition(X_298,join(one,X_299))),converse(join(X_298,composition(X_298,X_299)))) )],[refute_0_2059,refute_0_2060]) ).

cnf(refute_0_2062,plain,
    ( converse(converse(join(X_298,composition(X_298,X_299)))) != join(X_298,composition(X_298,X_299))
    | converse(join(X_298,composition(X_298,X_299))) != converse(composition(X_298,join(one,X_299)))
    | converse(converse(composition(X_298,join(one,X_299)))) = join(X_298,composition(X_298,X_299)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_298,composition(X_298,X_299)))),join(X_298,composition(X_298,X_299))) ),[0,0],$fot(converse(composition(X_298,join(one,X_299))))]]) ).

cnf(refute_0_2063,plain,
    ( converse(converse(join(X_298,composition(X_298,X_299)))) != join(X_298,composition(X_298,X_299))
    | converse(converse(composition(X_298,join(one,X_299)))) = join(X_298,composition(X_298,X_299)) ),
    inference(resolve,[$cnf( $equal(converse(join(X_298,composition(X_298,X_299))),converse(composition(X_298,join(one,X_299)))) )],[refute_0_2061,refute_0_2062]) ).

cnf(refute_0_2064,plain,
    converse(converse(composition(X_298,join(one,X_299)))) = join(X_298,composition(X_298,X_299)),
    inference(resolve,[$cnf( $equal(converse(converse(join(X_298,composition(X_298,X_299)))),join(X_298,composition(X_298,X_299))) )],[refute_0_2019,refute_0_2063]) ).

cnf(refute_0_2065,plain,
    converse(converse(composition(X_298,join(one,X_299)))) = composition(X_298,join(one,X_299)),
    inference(subst,[],[refute_0_19:[bind(X0,$fot(composition(X_298,join(one,X_299))))]]) ).

cnf(refute_0_2066,plain,
    ( converse(converse(composition(X_298,join(one,X_299)))) != composition(X_298,join(one,X_299))
    | converse(converse(composition(X_298,join(one,X_299)))) != join(X_298,composition(X_298,X_299))
    | composition(X_298,join(one,X_299)) = join(X_298,composition(X_298,X_299)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(X_298,join(one,X_299)))),join(X_298,composition(X_298,X_299))) ),[0],$fot(composition(X_298,join(one,X_299)))]]) ).

cnf(refute_0_2067,plain,
    ( converse(converse(composition(X_298,join(one,X_299)))) != join(X_298,composition(X_298,X_299))
    | composition(X_298,join(one,X_299)) = join(X_298,composition(X_298,X_299)) ),
    inference(resolve,[$cnf( $equal(converse(converse(composition(X_298,join(one,X_299)))),composition(X_298,join(one,X_299))) )],[refute_0_2065,refute_0_2066]) ).

cnf(refute_0_2068,plain,
    composition(X_298,join(one,X_299)) = join(X_298,composition(X_298,X_299)),
    inference(resolve,[$cnf( $equal(converse(converse(composition(X_298,join(one,X_299)))),join(X_298,composition(X_298,X_299))) )],[refute_0_2064,refute_0_2067]) ).

cnf(refute_0_2069,plain,
    ( composition(X_298,join(one,X_299)) != join(X_298,composition(X_298,X_299))
    | join(X_298,composition(X_298,X_299)) = composition(X_298,join(one,X_299)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X_298,join(one,X_299)))),bind(Y,$fot(join(X_298,composition(X_298,X_299))))]]) ).

cnf(refute_0_2070,plain,
    join(X_298,composition(X_298,X_299)) = composition(X_298,join(one,X_299)),
    inference(resolve,[$cnf( $equal(composition(X_298,join(one,X_299)),join(X_298,composition(X_298,X_299))) )],[refute_0_2068,refute_0_2069]) ).

cnf(refute_0_2071,plain,
    join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,join(one,complement(one))),
    inference(subst,[],[refute_0_2070:[bind(X_298,$fot(skolemFOFtoCNF_X0)),bind(X_299,$fot(complement(one)))]]) ).

cnf(refute_0_2072,plain,
    ( composition(skolemFOFtoCNF_X0,join(one,complement(one))) != composition(skolemFOFtoCNF_X0,top)
    | join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,join(one,complement(one)))
    | join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,join(one,complement(one))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).

cnf(refute_0_2073,plain,
    ( composition(skolemFOFtoCNF_X0,join(one,complement(one))) != composition(skolemFOFtoCNF_X0,top)
    | join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),composition(skolemFOFtoCNF_X0,join(one,complement(one)))) )],[refute_0_2071,refute_0_2072]) ).

cnf(refute_0_2074,plain,
    join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,top),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(one))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_2018,refute_0_2073]) ).

cnf(refute_0_2075,plain,
    converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),
    introduced(tautology,[refl,[$fot(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_2076,plain,
    ( converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))
    | join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,top)
    | converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).

cnf(refute_0_2077,plain,
    ( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,top)
    | converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
    inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2075,refute_0_2076]) ).

cnf(refute_0_2078,plain,
    converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = converse(composition(skolemFOFtoCNF_X0,top)),
    inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_2074,refute_0_2077]) ).

cnf(refute_0_2079,plain,
    join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(subst,[],[refute_0_50:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).

cnf(refute_0_2080,plain,
    ( converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != converse(composition(skolemFOFtoCNF_X0,top))
    | join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))
    | join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).

cnf(refute_0_2081,plain,
    ( converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != converse(composition(skolemFOFtoCNF_X0,top))
    | join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
    inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2079,refute_0_2080]) ).

cnf(refute_0_2082,plain,
    join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = converse(composition(skolemFOFtoCNF_X0,top)),
    inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2078,refute_0_2081]) ).

cnf(refute_0_2083,plain,
    complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) = complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),
    introduced(tautology,[refl,[$fot(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_2084,plain,
    ( complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) != complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))
    | join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) != converse(composition(skolemFOFtoCNF_X0,top))
    | complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(composition(skolemFOFtoCNF_X0,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).

cnf(refute_0_2085,plain,
    ( join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))) != converse(composition(skolemFOFtoCNF_X0,top))
    | complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(composition(skolemFOFtoCNF_X0,top))) ),
    inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_2083,refute_0_2084]) ).

cnf(refute_0_2086,plain,
    complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(composition(skolemFOFtoCNF_X0,top))),
    inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2082,refute_0_2085]) ).

cnf(refute_0_2087,plain,
    join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),
    introduced(tautology,[refl,[$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_2088,plain,
    ( complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
    | join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) != join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1],$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).

cnf(refute_0_2089,plain,
    ( complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
    | join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) ),
    inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_2087,refute_0_2088]) ).

cnf(refute_0_2090,plain,
    join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(composition(skolemFOFtoCNF_X0,top)))),
    inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_2086,refute_0_2089]) ).

cnf(refute_0_2091,plain,
    ( join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) != join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) != join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(composition(skolemFOFtoCNF_X0,top))))
    | join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_2092,plain,
    ( join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) != join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_2090,refute_0_2091]) ).

cnf(refute_0_2093,plain,
    join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(composition(skolemFOFtoCNF_X0,top)))),join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2014,refute_0_2092]) ).

cnf(refute_0_2094,plain,
    ( join(converse(X_9),X_10) != join(X_10,converse(X_9))
    | join(X_10,converse(X_9)) = join(converse(X_9),X_10) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(converse(X_9),X_10))),bind(Y,$fot(join(X_10,converse(X_9))))]]) ).

cnf(refute_0_2095,plain,
    join(X_10,converse(X_9)) = join(converse(X_9),X_10),
    inference(resolve,[$cnf( $equal(join(converse(X_9),X_10),join(X_10,converse(X_9))) )],[refute_0_2013,refute_0_2094]) ).

cnf(refute_0_2096,plain,
    join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),
    inference(subst,[],[refute_0_2095:[bind(X_10,$fot(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))),bind(X_9,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).

cnf(refute_0_2097,plain,
    ( join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) != join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) != join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),bind(Z,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_2098,plain,
    ( join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))) != join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))),join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_2096,refute_0_2097]) ).

cnf(refute_0_2099,plain,
    join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one)))))),join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2093,refute_0_2098]) ).

cnf(refute_0_2100,plain,
    ( complement(converse(skolemFOFtoCNF_X0)) != join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) != join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | complement(converse(skolemFOFtoCNF_X0)) = join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_2101,plain,
    ( complement(converse(skolemFOFtoCNF_X0)) != join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | complement(converse(skolemFOFtoCNF_X0)) = join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one)))),join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2099,refute_0_2100]) ).

cnf(refute_0_2102,plain,
    complement(converse(skolemFOFtoCNF_X0)) = join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(join(converse(skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(one))))),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1160,refute_0_2101]) ).

cnf(refute_0_2103,plain,
    ( complement(converse(skolemFOFtoCNF_X0)) != join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))
    | join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = complement(converse(skolemFOFtoCNF_X0)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_2104,plain,
    join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) = complement(converse(skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2102,refute_0_2103]) ).

cnf(refute_0_2105,plain,
    ( join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))) != complement(converse(skolemFOFtoCNF_X0))
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != complement(one)
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),complement(one)) ),[0,1,1,0,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2106,plain,
    ( join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))) != complement(one)
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2104,refute_0_2105]) ).

cnf(refute_0_2107,plain,
    join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,complement(one)))))))),complement(one)) )],[refute_0_391,refute_0_2106]) ).

cnf(refute_0_2108,plain,
    join(complement(one),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
    inference(subst,[],[refute_0_2070:[bind(X_298,$fot(complement(one))),bind(X_299,$fot(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2109,plain,
    converse(converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
    inference(subst,[],[refute_0_19:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2110,plain,
    complement(converse(converse(skolemFOFtoCNF_X0))) = complement(converse(converse(skolemFOFtoCNF_X0))),
    introduced(tautology,[refl,[$fot(complement(converse(converse(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2111,plain,
    ( complement(converse(converse(skolemFOFtoCNF_X0))) != complement(converse(converse(skolemFOFtoCNF_X0)))
    | converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | complement(converse(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(skolemFOFtoCNF_X0))),complement(converse(converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_2112,plain,
    ( converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | complement(converse(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(complement(converse(converse(skolemFOFtoCNF_X0))),complement(converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2110,refute_0_2111]) ).

cnf(refute_0_2113,plain,
    complement(converse(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2109,refute_0_2112]) ).

cnf(refute_0_2114,plain,
    converse(complement(X_144)) = join(meet(complement(converse(X_144)),converse(complement(X_144))),meet(complement(complement(converse(X_144))),converse(complement(X_144)))),
    inference(subst,[],[refute_0_482:[bind(X_100,$fot(complement(converse(X_144)))),bind(X_99,$fot(converse(complement(X_144))))]]) ).

cnf(refute_0_2115,plain,
    complement(X_95) = meet(complement(X_95),converse(complement(converse(complement(complement(X_95)))))),
    inference(subst,[],[refute_0_831:[bind(X_85,$fot(complement(X_95)))]]) ).

cnf(refute_0_2116,plain,
    ( complement(X_95) != meet(complement(X_95),converse(complement(converse(complement(complement(X_95))))))
    | complement(complement(X_95)) != X_95
    | complement(X_95) = meet(complement(X_95),converse(complement(converse(X_95)))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(X_95),meet(complement(X_95),converse(complement(converse(complement(complement(X_95))))))) ),[1,1,0,0,0],$fot(X_95)]]) ).

cnf(refute_0_2117,plain,
    ( complement(X_95) != meet(complement(X_95),converse(complement(converse(complement(complement(X_95))))))
    | complement(X_95) = meet(complement(X_95),converse(complement(converse(X_95)))) ),
    inference(resolve,[$cnf( $equal(complement(complement(X_95)),X_95) )],[refute_0_343,refute_0_2116]) ).

cnf(refute_0_2118,plain,
    complement(X_95) = meet(complement(X_95),converse(complement(converse(X_95)))),
    inference(resolve,[$cnf( $equal(complement(X_95),meet(complement(X_95),converse(complement(converse(complement(complement(X_95))))))) )],[refute_0_2115,refute_0_2117]) ).

cnf(refute_0_2119,plain,
    complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(converse(converse(X0))))),
    inference(subst,[],[refute_0_2118:[bind(X_95,$fot(converse(X0)))]]) ).

cnf(refute_0_2120,plain,
    ( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))
    | converse(converse(X0)) != X0
    | complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) ),[1,1,0,0],$fot(X0)]]) ).

cnf(refute_0_2121,plain,
    ( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))
    | complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))) ),
    inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_19,refute_0_2120]) ).

cnf(refute_0_2122,plain,
    complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
    inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) )],[refute_0_2119,refute_0_2121]) ).

cnf(refute_0_2123,plain,
    complement(converse(X_144)) = meet(complement(converse(X_144)),converse(complement(X_144))),
    inference(subst,[],[refute_0_2122:[bind(X0,$fot(X_144))]]) ).

cnf(refute_0_2124,plain,
    ( complement(converse(X_144)) != meet(complement(converse(X_144)),converse(complement(X_144)))
    | meet(complement(converse(X_144)),converse(complement(X_144))) = complement(converse(X_144)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(X_144)))),bind(Y,$fot(meet(complement(converse(X_144)),converse(complement(X_144)))))]]) ).

cnf(refute_0_2125,plain,
    meet(complement(converse(X_144)),converse(complement(X_144))) = complement(converse(X_144)),
    inference(resolve,[$cnf( $equal(complement(converse(X_144)),meet(complement(converse(X_144)),converse(complement(X_144)))) )],[refute_0_2123,refute_0_2124]) ).

cnf(refute_0_2126,plain,
    ( converse(complement(X_144)) != join(meet(complement(converse(X_144)),converse(complement(X_144))),meet(complement(complement(converse(X_144))),converse(complement(X_144))))
    | meet(complement(converse(X_144)),converse(complement(X_144))) != complement(converse(X_144))
    | converse(complement(X_144)) = join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_144)),join(meet(complement(converse(X_144)),converse(complement(X_144))),meet(complement(complement(converse(X_144))),converse(complement(X_144))))) ),[1,0],$fot(complement(converse(X_144)))]]) ).

cnf(refute_0_2127,plain,
    ( converse(complement(X_144)) != join(meet(complement(converse(X_144)),converse(complement(X_144))),meet(complement(complement(converse(X_144))),converse(complement(X_144))))
    | converse(complement(X_144)) = join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))) ),
    inference(resolve,[$cnf( $equal(meet(complement(converse(X_144)),converse(complement(X_144))),complement(converse(X_144))) )],[refute_0_2125,refute_0_2126]) ).

cnf(refute_0_2128,plain,
    converse(complement(X_144)) = join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))),
    inference(resolve,[$cnf( $equal(converse(complement(X_144)),join(meet(complement(converse(X_144)),converse(complement(X_144))),meet(complement(complement(converse(X_144))),converse(complement(X_144))))) )],[refute_0_2114,refute_0_2127]) ).

cnf(refute_0_2129,plain,
    meet(converse(complement(X_144)),converse(X_144)) = meet(converse(X_144),converse(complement(X_144))),
    inference(subst,[],[refute_0_839:[bind(X_19,$fot(converse(X_144))),bind(X_20,$fot(converse(complement(X_144))))]]) ).

cnf(refute_0_2130,plain,
    complement(complement(converse(X_144))) = converse(X_144),
    inference(subst,[],[refute_0_1002:[bind(X1,$fot(converse(X_144)))]]) ).

cnf(refute_0_2131,plain,
    meet(converse(complement(X_144)),complement(complement(converse(X_144)))) = meet(converse(complement(X_144)),complement(complement(converse(X_144)))),
    introduced(tautology,[refl,[$fot(meet(converse(complement(X_144)),complement(complement(converse(X_144)))))]]) ).

cnf(refute_0_2132,plain,
    ( complement(complement(converse(X_144))) != converse(X_144)
    | meet(converse(complement(X_144)),complement(complement(converse(X_144)))) != meet(converse(complement(X_144)),complement(complement(converse(X_144))))
    | meet(converse(complement(X_144)),complement(complement(converse(X_144)))) = meet(converse(complement(X_144)),converse(X_144)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_144)),complement(complement(converse(X_144)))),meet(converse(complement(X_144)),complement(complement(converse(X_144))))) ),[1,1],$fot(converse(X_144))]]) ).

cnf(refute_0_2133,plain,
    ( complement(complement(converse(X_144))) != converse(X_144)
    | meet(converse(complement(X_144)),complement(complement(converse(X_144)))) = meet(converse(complement(X_144)),converse(X_144)) ),
    inference(resolve,[$cnf( $equal(meet(converse(complement(X_144)),complement(complement(converse(X_144)))),meet(converse(complement(X_144)),complement(complement(converse(X_144))))) )],[refute_0_2131,refute_0_2132]) ).

cnf(refute_0_2134,plain,
    meet(converse(complement(X_144)),complement(complement(converse(X_144)))) = meet(converse(complement(X_144)),converse(X_144)),
    inference(resolve,[$cnf( $equal(complement(complement(converse(X_144))),converse(X_144)) )],[refute_0_2130,refute_0_2133]) ).

cnf(refute_0_2135,plain,
    ( meet(converse(complement(X_144)),complement(complement(converse(X_144)))) != meet(converse(complement(X_144)),converse(X_144))
    | meet(converse(complement(X_144)),converse(X_144)) != meet(converse(X_144),converse(complement(X_144)))
    | meet(converse(complement(X_144)),complement(complement(converse(X_144)))) = meet(converse(X_144),converse(complement(X_144))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(converse(complement(X_144)),complement(complement(converse(X_144)))))),bind(Y,$fot(meet(converse(complement(X_144)),converse(X_144)))),bind(Z,$fot(meet(converse(X_144),converse(complement(X_144)))))]]) ).

cnf(refute_0_2136,plain,
    ( meet(converse(complement(X_144)),converse(X_144)) != meet(converse(X_144),converse(complement(X_144)))
    | meet(converse(complement(X_144)),complement(complement(converse(X_144)))) = meet(converse(X_144),converse(complement(X_144))) ),
    inference(resolve,[$cnf( $equal(meet(converse(complement(X_144)),complement(complement(converse(X_144)))),meet(converse(complement(X_144)),converse(X_144))) )],[refute_0_2134,refute_0_2135]) ).

cnf(refute_0_2137,plain,
    meet(converse(complement(X_144)),complement(complement(converse(X_144)))) = meet(converse(X_144),converse(complement(X_144))),
    inference(resolve,[$cnf( $equal(meet(converse(complement(X_144)),converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) )],[refute_0_2129,refute_0_2136]) ).

cnf(refute_0_2138,plain,
    meet(complement(complement(converse(X_144))),converse(complement(X_144))) = meet(converse(complement(X_144)),complement(complement(converse(X_144)))),
    inference(subst,[],[refute_0_839:[bind(X_19,$fot(converse(complement(X_144)))),bind(X_20,$fot(complement(complement(converse(X_144)))))]]) ).

cnf(refute_0_2139,plain,
    ( meet(complement(complement(converse(X_144))),converse(complement(X_144))) != meet(converse(complement(X_144)),complement(complement(converse(X_144))))
    | meet(converse(complement(X_144)),complement(complement(converse(X_144)))) != meet(converse(X_144),converse(complement(X_144)))
    | meet(complement(complement(converse(X_144))),converse(complement(X_144))) = meet(converse(X_144),converse(complement(X_144))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(complement(complement(converse(X_144))),converse(complement(X_144))))),bind(Y,$fot(meet(converse(complement(X_144)),complement(complement(converse(X_144)))))),bind(Z,$fot(meet(converse(X_144),converse(complement(X_144)))))]]) ).

cnf(refute_0_2140,plain,
    ( meet(converse(complement(X_144)),complement(complement(converse(X_144)))) != meet(converse(X_144),converse(complement(X_144)))
    | meet(complement(complement(converse(X_144))),converse(complement(X_144))) = meet(converse(X_144),converse(complement(X_144))) ),
    inference(resolve,[$cnf( $equal(meet(complement(complement(converse(X_144))),converse(complement(X_144))),meet(converse(complement(X_144)),complement(complement(converse(X_144))))) )],[refute_0_2138,refute_0_2139]) ).

cnf(refute_0_2141,plain,
    meet(complement(complement(converse(X_144))),converse(complement(X_144))) = meet(converse(X_144),converse(complement(X_144))),
    inference(resolve,[$cnf( $equal(meet(converse(complement(X_144)),complement(complement(converse(X_144)))),meet(converse(X_144),converse(complement(X_144)))) )],[refute_0_2137,refute_0_2140]) ).

cnf(refute_0_2142,plain,
    join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))) = join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))),
    introduced(tautology,[refl,[$fot(join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))))]]) ).

cnf(refute_0_2143,plain,
    ( join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))) != join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144))))
    | meet(complement(complement(converse(X_144))),converse(complement(X_144))) != meet(converse(X_144),converse(complement(X_144)))
    | join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))) = join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))),join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144))))) ),[1,1],$fot(meet(converse(X_144),converse(complement(X_144))))]]) ).

cnf(refute_0_2144,plain,
    ( meet(complement(complement(converse(X_144))),converse(complement(X_144))) != meet(converse(X_144),converse(complement(X_144)))
    | join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))) = join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))),join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144))))) )],[refute_0_2142,refute_0_2143]) ).

cnf(refute_0_2145,plain,
    join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))) = join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))),
    inference(resolve,[$cnf( $equal(meet(complement(complement(converse(X_144))),converse(complement(X_144))),meet(converse(X_144),converse(complement(X_144)))) )],[refute_0_2141,refute_0_2144]) ).

cnf(refute_0_2146,plain,
    ( converse(complement(X_144)) != join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144))))
    | join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))) != join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144))))
    | converse(complement(X_144)) = join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_144)),join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144))))) ),[0],$fot(join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))))]]) ).

cnf(refute_0_2147,plain,
    ( converse(complement(X_144)) != join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144))))
    | converse(complement(X_144)) = join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144)))),join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144))))) )],[refute_0_2145,refute_0_2146]) ).

cnf(refute_0_2148,plain,
    converse(complement(X_144)) = join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))),
    inference(resolve,[$cnf( $equal(converse(complement(X_144)),join(complement(converse(X_144)),meet(complement(complement(converse(X_144))),converse(complement(X_144))))) )],[refute_0_2128,refute_0_2147]) ).

cnf(refute_0_2149,plain,
    join(zero,complement(converse(X_144))) = complement(converse(X_144)),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(complement(converse(X_144))))]]) ).

cnf(refute_0_2150,plain,
    join(complement(converse(X_144)),zero) = join(zero,complement(converse(X_144))),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(converse(X_144)))),bind(X1,$fot(zero))]]) ).

cnf(refute_0_2151,plain,
    ( join(complement(converse(X_144)),zero) != join(zero,complement(converse(X_144)))
    | join(zero,complement(converse(X_144))) != complement(converse(X_144))
    | join(complement(converse(X_144)),zero) = complement(converse(X_144)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(X_144)),zero))),bind(Y,$fot(join(zero,complement(converse(X_144))))),bind(Z,$fot(complement(converse(X_144))))]]) ).

cnf(refute_0_2152,plain,
    ( join(zero,complement(converse(X_144))) != complement(converse(X_144))
    | join(complement(converse(X_144)),zero) = complement(converse(X_144)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_144)),zero),join(zero,complement(converse(X_144)))) )],[refute_0_2150,refute_0_2151]) ).

cnf(refute_0_2153,plain,
    join(complement(converse(X_144)),zero) = complement(converse(X_144)),
    inference(resolve,[$cnf( $equal(join(zero,complement(converse(X_144))),complement(converse(X_144))) )],[refute_0_2149,refute_0_2152]) ).

cnf(refute_0_2154,plain,
    converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = join(meet(converse(X_273),converse(complement(X_273))),meet(complement(meet(converse(X_273),converse(complement(X_273)))),converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))),
    inference(subst,[],[refute_0_847:[bind(X_100,$fot(meet(converse(X_273),converse(complement(X_273)))))]]) ).

cnf(refute_0_2155,plain,
    join(complement(converse(meet(complement(X_141),X_142))),converse(join(meet(X_141,X_142),meet(complement(X_141),X_142)))) = top,
    inference(subst,[],[refute_0_1424:[bind(X_123,$fot(meet(X_141,X_142))),bind(X_124,$fot(meet(complement(X_141),X_142)))]]) ).

cnf(refute_0_2156,plain,
    X_142 = join(meet(X_141,X_142),meet(complement(X_141),X_142)),
    inference(subst,[],[refute_0_482:[bind(X_100,$fot(X_141)),bind(X_99,$fot(X_142))]]) ).

cnf(refute_0_2157,plain,
    ( X_142 != join(meet(X_141,X_142),meet(complement(X_141),X_142))
    | join(meet(X_141,X_142),meet(complement(X_141),X_142)) = X_142 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_142)),bind(Y,$fot(join(meet(X_141,X_142),meet(complement(X_141),X_142))))]]) ).

cnf(refute_0_2158,plain,
    join(meet(X_141,X_142),meet(complement(X_141),X_142)) = X_142,
    inference(resolve,[$cnf( $equal(X_142,join(meet(X_141,X_142),meet(complement(X_141),X_142))) )],[refute_0_2156,refute_0_2157]) ).

cnf(refute_0_2159,plain,
    ( join(complement(converse(meet(complement(X_141),X_142))),converse(join(meet(X_141,X_142),meet(complement(X_141),X_142)))) != top
    | join(meet(X_141,X_142),meet(complement(X_141),X_142)) != X_142
    | join(complement(converse(meet(complement(X_141),X_142))),converse(X_142)) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(complement(X_141),X_142))),converse(join(meet(X_141,X_142),meet(complement(X_141),X_142)))),top) ),[0,1,0],$fot(X_142)]]) ).

cnf(refute_0_2160,plain,
    ( join(complement(converse(meet(complement(X_141),X_142))),converse(join(meet(X_141,X_142),meet(complement(X_141),X_142)))) != top
    | join(complement(converse(meet(complement(X_141),X_142))),converse(X_142)) = top ),
    inference(resolve,[$cnf( $equal(join(meet(X_141,X_142),meet(complement(X_141),X_142)),X_142) )],[refute_0_2158,refute_0_2159]) ).

cnf(refute_0_2161,plain,
    join(complement(converse(meet(complement(X_141),X_142))),converse(X_142)) = top,
    inference(resolve,[$cnf( $equal(join(complement(converse(meet(complement(X_141),X_142))),converse(join(meet(X_141,X_142),meet(complement(X_141),X_142)))),top) )],[refute_0_2155,refute_0_2160]) ).

cnf(refute_0_2162,plain,
    join(complement(converse(meet(complement(X_141),X_142))),converse(X_142)) = join(converse(X_142),complement(converse(meet(complement(X_141),X_142)))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(converse(X_142))),bind(X1,$fot(complement(converse(meet(complement(X_141),X_142)))))]]) ).

cnf(refute_0_2163,plain,
    ( join(complement(converse(meet(complement(X_141),X_142))),converse(X_142)) != join(converse(X_142),complement(converse(meet(complement(X_141),X_142))))
    | join(complement(converse(meet(complement(X_141),X_142))),converse(X_142)) != top
    | join(converse(X_142),complement(converse(meet(complement(X_141),X_142)))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(complement(X_141),X_142))),converse(X_142)),top) ),[0],$fot(join(converse(X_142),complement(converse(meet(complement(X_141),X_142)))))]]) ).

cnf(refute_0_2164,plain,
    ( join(complement(converse(meet(complement(X_141),X_142))),converse(X_142)) != top
    | join(converse(X_142),complement(converse(meet(complement(X_141),X_142)))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(converse(meet(complement(X_141),X_142))),converse(X_142)),join(converse(X_142),complement(converse(meet(complement(X_141),X_142))))) )],[refute_0_2162,refute_0_2163]) ).

cnf(refute_0_2165,plain,
    join(converse(X_142),complement(converse(meet(complement(X_141),X_142)))) = top,
    inference(resolve,[$cnf( $equal(join(complement(converse(meet(complement(X_141),X_142))),converse(X_142)),top) )],[refute_0_2161,refute_0_2164]) ).

cnf(refute_0_2166,plain,
    join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(meet(complement(X_271),converse(complement(converse(complement(complement(X_271))))))))) = top,
    inference(subst,[],[refute_0_2165:[bind(X_141,$fot(X_271)),bind(X_142,$fot(converse(complement(converse(complement(complement(X_271)))))))]]) ).

cnf(refute_0_2167,plain,
    complement(X_271) = meet(complement(X_271),converse(complement(converse(complement(complement(X_271)))))),
    inference(subst,[],[refute_0_831:[bind(X_85,$fot(complement(X_271)))]]) ).

cnf(refute_0_2168,plain,
    ( complement(X_271) != meet(complement(X_271),converse(complement(converse(complement(complement(X_271))))))
    | meet(complement(X_271),converse(complement(converse(complement(complement(X_271)))))) = complement(X_271) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_271))),bind(Y,$fot(meet(complement(X_271),converse(complement(converse(complement(complement(X_271))))))))]]) ).

cnf(refute_0_2169,plain,
    meet(complement(X_271),converse(complement(converse(complement(complement(X_271)))))) = complement(X_271),
    inference(resolve,[$cnf( $equal(complement(X_271),meet(complement(X_271),converse(complement(converse(complement(complement(X_271))))))) )],[refute_0_2167,refute_0_2168]) ).

cnf(refute_0_2170,plain,
    ( join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(meet(complement(X_271),converse(complement(converse(complement(complement(X_271))))))))) != top
    | meet(complement(X_271),converse(complement(converse(complement(complement(X_271)))))) != complement(X_271)
    | join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(meet(complement(X_271),converse(complement(converse(complement(complement(X_271))))))))),top) ),[0,1,0,0],$fot(complement(X_271))]]) ).

cnf(refute_0_2171,plain,
    ( join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(meet(complement(X_271),converse(complement(converse(complement(complement(X_271))))))))) != top
    | join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) = top ),
    inference(resolve,[$cnf( $equal(meet(complement(X_271),converse(complement(converse(complement(complement(X_271)))))),complement(X_271)) )],[refute_0_2169,refute_0_2170]) ).

cnf(refute_0_2172,plain,
    join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) = top,
    inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(meet(complement(X_271),converse(complement(converse(complement(complement(X_271))))))))),top) )],[refute_0_2166,refute_0_2171]) ).

cnf(refute_0_2173,plain,
    join(complement(converse(X_271)),complement(converse(complement(X_271)))) = complement(meet(converse(X_271),converse(complement(X_271)))),
    inference(subst,[],[refute_0_996:[bind(X0,$fot(converse(X_271))),bind(X1,$fot(converse(complement(X_271))))]]) ).

cnf(refute_0_2174,plain,
    join(complement(converse(complement(X_271))),complement(converse(X_271))) = join(complement(converse(X_271)),complement(converse(complement(X_271)))),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(converse(complement(X_271))))),bind(X1,$fot(complement(converse(X_271))))]]) ).

cnf(refute_0_2175,plain,
    ( join(complement(converse(X_271)),complement(converse(complement(X_271)))) != complement(meet(converse(X_271),converse(complement(X_271))))
    | join(complement(converse(complement(X_271))),complement(converse(X_271))) != join(complement(converse(X_271)),complement(converse(complement(X_271))))
    | join(complement(converse(complement(X_271))),complement(converse(X_271))) = complement(meet(converse(X_271),converse(complement(X_271)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(complement(X_271))),complement(converse(X_271))))),bind(Y,$fot(join(complement(converse(X_271)),complement(converse(complement(X_271)))))),bind(Z,$fot(complement(meet(converse(X_271),converse(complement(X_271))))))]]) ).

cnf(refute_0_2176,plain,
    ( join(complement(converse(X_271)),complement(converse(complement(X_271)))) != complement(meet(converse(X_271),converse(complement(X_271))))
    | join(complement(converse(complement(X_271))),complement(converse(X_271))) = complement(meet(converse(X_271),converse(complement(X_271)))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_271))),complement(converse(X_271))),join(complement(converse(X_271)),complement(converse(complement(X_271))))) )],[refute_0_2174,refute_0_2175]) ).

cnf(refute_0_2177,plain,
    join(complement(converse(complement(X_271))),complement(converse(X_271))) = complement(meet(converse(X_271),converse(complement(X_271)))),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_271)),complement(converse(complement(X_271)))),complement(meet(converse(X_271),converse(complement(X_271))))) )],[refute_0_2173,refute_0_2176]) ).

cnf(refute_0_2178,plain,
    complement(complement(X_271)) = X_271,
    inference(subst,[],[refute_0_1002:[bind(X1,$fot(X_271))]]) ).

cnf(refute_0_2179,plain,
    converse(complement(complement(X_271))) = converse(complement(complement(X_271))),
    introduced(tautology,[refl,[$fot(converse(complement(complement(X_271))))]]) ).

cnf(refute_0_2180,plain,
    ( complement(complement(X_271)) != X_271
    | converse(complement(complement(X_271))) != converse(complement(complement(X_271)))
    | converse(complement(complement(X_271))) = converse(X_271) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_271))),converse(complement(complement(X_271)))) ),[1,0],$fot(X_271)]]) ).

cnf(refute_0_2181,plain,
    ( complement(complement(X_271)) != X_271
    | converse(complement(complement(X_271))) = converse(X_271) ),
    inference(resolve,[$cnf( $equal(converse(complement(complement(X_271))),converse(complement(complement(X_271)))) )],[refute_0_2179,refute_0_2180]) ).

cnf(refute_0_2182,plain,
    converse(complement(complement(X_271))) = converse(X_271),
    inference(resolve,[$cnf( $equal(complement(complement(X_271)),X_271) )],[refute_0_2178,refute_0_2181]) ).

cnf(refute_0_2183,plain,
    complement(converse(complement(complement(X_271)))) = complement(converse(complement(complement(X_271)))),
    introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_271)))))]]) ).

cnf(refute_0_2184,plain,
    ( complement(converse(complement(complement(X_271)))) != complement(converse(complement(complement(X_271))))
    | converse(complement(complement(X_271))) != converse(X_271)
    | complement(converse(complement(complement(X_271)))) = complement(converse(X_271)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_271)))),complement(converse(complement(complement(X_271))))) ),[1,0],$fot(converse(X_271))]]) ).

cnf(refute_0_2185,plain,
    ( converse(complement(complement(X_271))) != converse(X_271)
    | complement(converse(complement(complement(X_271)))) = complement(converse(X_271)) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_271)))),complement(converse(complement(complement(X_271))))) )],[refute_0_2183,refute_0_2184]) ).

cnf(refute_0_2186,plain,
    complement(converse(complement(complement(X_271)))) = complement(converse(X_271)),
    inference(resolve,[$cnf( $equal(converse(complement(complement(X_271))),converse(X_271)) )],[refute_0_2182,refute_0_2185]) ).

cnf(refute_0_2187,plain,
    converse(converse(complement(converse(complement(complement(X_271)))))) = complement(converse(complement(complement(X_271)))),
    inference(subst,[],[refute_0_19:[bind(X0,$fot(complement(converse(complement(complement(X_271))))))]]) ).

cnf(refute_0_2188,plain,
    ( complement(converse(complement(complement(X_271)))) != complement(converse(X_271))
    | converse(converse(complement(converse(complement(complement(X_271)))))) != complement(converse(complement(complement(X_271))))
    | converse(converse(complement(converse(complement(complement(X_271)))))) = complement(converse(X_271)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(converse(complement(converse(complement(complement(X_271)))))))),bind(Y,$fot(complement(converse(complement(complement(X_271)))))),bind(Z,$fot(complement(converse(X_271))))]]) ).

cnf(refute_0_2189,plain,
    ( complement(converse(complement(complement(X_271)))) != complement(converse(X_271))
    | converse(converse(complement(converse(complement(complement(X_271)))))) = complement(converse(X_271)) ),
    inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(complement(X_271))))) )],[refute_0_2187,refute_0_2188]) ).

cnf(refute_0_2190,plain,
    converse(converse(complement(converse(complement(complement(X_271)))))) = complement(converse(X_271)),
    inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_271)))),complement(converse(X_271))) )],[refute_0_2186,refute_0_2189]) ).

cnf(refute_0_2191,plain,
    join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) = join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))),
    introduced(tautology,[refl,[$fot(join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))))]]) ).

cnf(refute_0_2192,plain,
    ( converse(converse(complement(converse(complement(complement(X_271)))))) != complement(converse(X_271))
    | join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) != join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271)))))))
    | join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) = join(complement(converse(complement(X_271))),complement(converse(X_271))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))),join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271)))))))) ),[1,1],$fot(complement(converse(X_271)))]]) ).

cnf(refute_0_2193,plain,
    ( converse(converse(complement(converse(complement(complement(X_271)))))) != complement(converse(X_271))
    | join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) = join(complement(converse(complement(X_271))),complement(converse(X_271))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))),join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271)))))))) )],[refute_0_2191,refute_0_2192]) ).

cnf(refute_0_2194,plain,
    join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) = join(complement(converse(complement(X_271))),complement(converse(X_271))),
    inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(X_271))) )],[refute_0_2190,refute_0_2193]) ).

cnf(refute_0_2195,plain,
    ( join(complement(converse(complement(X_271))),complement(converse(X_271))) != complement(meet(converse(X_271),converse(complement(X_271))))
    | join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) != join(complement(converse(complement(X_271))),complement(converse(X_271)))
    | join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) = complement(meet(converse(X_271),converse(complement(X_271)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))))),bind(Y,$fot(join(complement(converse(complement(X_271))),complement(converse(X_271))))),bind(Z,$fot(complement(meet(converse(X_271),converse(complement(X_271))))))]]) ).

cnf(refute_0_2196,plain,
    ( join(complement(converse(complement(X_271))),complement(converse(X_271))) != complement(meet(converse(X_271),converse(complement(X_271))))
    | join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) = complement(meet(converse(X_271),converse(complement(X_271)))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))),join(complement(converse(complement(X_271))),complement(converse(X_271)))) )],[refute_0_2194,refute_0_2195]) ).

cnf(refute_0_2197,plain,
    join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) = complement(meet(converse(X_271),converse(complement(X_271)))),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_271))),complement(converse(X_271))),complement(meet(converse(X_271),converse(complement(X_271))))) )],[refute_0_2177,refute_0_2196]) ).

cnf(refute_0_2198,plain,
    join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) = join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(converse(complement(converse(complement(complement(X_271)))))))),bind(X1,$fot(complement(converse(complement(X_271)))))]]) ).

cnf(refute_0_2199,plain,
    ( join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) != complement(meet(converse(X_271),converse(complement(X_271))))
    | join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) != join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271)))))))
    | join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) = complement(meet(converse(X_271),converse(complement(X_271)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))))),bind(Y,$fot(join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))))),bind(Z,$fot(complement(meet(converse(X_271),converse(complement(X_271))))))]]) ).

cnf(refute_0_2200,plain,
    ( join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))) != complement(meet(converse(X_271),converse(complement(X_271))))
    | join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) = complement(meet(converse(X_271),converse(complement(X_271)))) ),
    inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))),join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271)))))))) )],[refute_0_2198,refute_0_2199]) ).

cnf(refute_0_2201,plain,
    join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) = complement(meet(converse(X_271),converse(complement(X_271)))),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_271))),converse(converse(complement(converse(complement(complement(X_271))))))),complement(meet(converse(X_271),converse(complement(X_271))))) )],[refute_0_2197,refute_0_2200]) ).

cnf(refute_0_2202,plain,
    ( join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) != complement(meet(converse(X_271),converse(complement(X_271))))
    | join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) != top
    | complement(meet(converse(X_271),converse(complement(X_271)))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))),top) ),[0],$fot(complement(meet(converse(X_271),converse(complement(X_271)))))]]) ).

cnf(refute_0_2203,plain,
    ( join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))) != top
    | complement(meet(converse(X_271),converse(complement(X_271)))) = top ),
    inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))),complement(meet(converse(X_271),converse(complement(X_271))))) )],[refute_0_2201,refute_0_2202]) ).

cnf(refute_0_2204,plain,
    complement(meet(converse(X_271),converse(complement(X_271)))) = top,
    inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(complement(complement(X_271)))))),complement(converse(complement(X_271)))),top) )],[refute_0_2172,refute_0_2203]) ).

cnf(refute_0_2205,plain,
    complement(meet(converse(X_273),converse(complement(X_273)))) = top,
    inference(subst,[],[refute_0_2204:[bind(X_271,$fot(X_273))]]) ).

cnf(refute_0_2206,plain,
    ( complement(meet(converse(X_273),converse(complement(X_273)))) != top
    | converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) != join(meet(converse(X_273),converse(complement(X_273))),meet(complement(meet(converse(X_273),converse(complement(X_273)))),converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))
    | converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),join(meet(converse(X_273),converse(complement(X_273))),meet(complement(meet(converse(X_273),converse(complement(X_273)))),converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))) ),[1,1,0],$fot(top)]]) ).

cnf(refute_0_2207,plain,
    ( converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) != join(meet(converse(X_273),converse(complement(X_273))),meet(complement(meet(converse(X_273),converse(complement(X_273)))),converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))
    | converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) ),
    inference(resolve,[$cnf( $equal(complement(meet(converse(X_273),converse(complement(X_273)))),top) )],[refute_0_2205,refute_0_2206]) ).

cnf(refute_0_2208,plain,
    converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),join(meet(converse(X_273),converse(complement(X_273))),meet(complement(meet(converse(X_273),converse(complement(X_273)))),converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))) )],[refute_0_2154,refute_0_2207]) ).

cnf(refute_0_2209,plain,
    converse(complement(meet(converse(X_273),converse(complement(X_273))))) = converse(complement(meet(converse(X_273),converse(complement(X_273))))),
    introduced(tautology,[refl,[$fot(converse(complement(meet(converse(X_273),converse(complement(X_273))))))]]) ).

cnf(refute_0_2210,plain,
    ( complement(meet(converse(X_273),converse(complement(X_273)))) != top
    | converse(complement(meet(converse(X_273),converse(complement(X_273))))) != converse(complement(meet(converse(X_273),converse(complement(X_273)))))
    | converse(complement(meet(converse(X_273),converse(complement(X_273))))) = converse(top) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(converse(X_273),converse(complement(X_273))))),converse(complement(meet(converse(X_273),converse(complement(X_273)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2211,plain,
    ( complement(meet(converse(X_273),converse(complement(X_273)))) != top
    | converse(complement(meet(converse(X_273),converse(complement(X_273))))) = converse(top) ),
    inference(resolve,[$cnf( $equal(converse(complement(meet(converse(X_273),converse(complement(X_273))))),converse(complement(meet(converse(X_273),converse(complement(X_273)))))) )],[refute_0_2209,refute_0_2210]) ).

cnf(refute_0_2212,plain,
    converse(complement(meet(converse(X_273),converse(complement(X_273))))) = converse(top),
    inference(resolve,[$cnf( $equal(complement(meet(converse(X_273),converse(complement(X_273)))),top) )],[refute_0_2205,refute_0_2211]) ).

cnf(refute_0_2213,plain,
    ( converse(complement(meet(converse(X_273),converse(complement(X_273))))) != converse(top)
    | converse(top) != top
    | converse(complement(meet(converse(X_273),converse(complement(X_273))))) = top ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_2214,plain,
    ( converse(top) != top
    | converse(complement(meet(converse(X_273),converse(complement(X_273))))) = top ),
    inference(resolve,[$cnf( $equal(converse(complement(meet(converse(X_273),converse(complement(X_273))))),converse(top)) )],[refute_0_2212,refute_0_2213]) ).

cnf(refute_0_2215,plain,
    converse(complement(meet(converse(X_273),converse(complement(X_273))))) = top,
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_2214]) ).

cnf(refute_0_2216,plain,
    complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) = complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))),
    introduced(tautology,[refl,[$fot(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))]]) ).

cnf(refute_0_2217,plain,
    ( complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) != complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))
    | converse(complement(meet(converse(X_273),converse(complement(X_273))))) != top
    | complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))),complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2218,plain,
    ( converse(complement(meet(converse(X_273),converse(complement(X_273))))) != top
    | complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))),complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) )],[refute_0_2216,refute_0_2217]) ).

cnf(refute_0_2219,plain,
    complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) = complement(top),
    inference(resolve,[$cnf( $equal(converse(complement(meet(converse(X_273),converse(complement(X_273))))),top) )],[refute_0_2215,refute_0_2218]) ).

cnf(refute_0_2220,plain,
    ( complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) != complement(top)
    | complement(top) != zero
    | complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2221,plain,
    ( complement(top) != zero
    | complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) = zero ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))),complement(top)) )],[refute_0_2219,refute_0_2220]) ).

cnf(refute_0_2222,plain,
    complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) = zero,
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_2221]) ).

cnf(refute_0_2223,plain,
    converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),
    introduced(tautology,[refl,[$fot(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))]]) ).

cnf(refute_0_2224,plain,
    ( complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) != zero
    | converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) != converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))
    | converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = converse(zero) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2225,plain,
    ( complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))) != zero
    | converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = converse(zero) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))) )],[refute_0_2223,refute_0_2224]) ).

cnf(refute_0_2226,plain,
    converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = converse(zero),
    inference(resolve,[$cnf( $equal(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))),zero) )],[refute_0_2222,refute_0_2225]) ).

cnf(refute_0_2227,plain,
    ( converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) != converse(zero)
    | converse(zero) != zero
    | converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2228,plain,
    ( converse(zero) != zero
    | converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = zero ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),converse(zero)) )],[refute_0_2226,refute_0_2227]) ).

cnf(refute_0_2229,plain,
    converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) = zero,
    inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1090,refute_0_2228]) ).

cnf(refute_0_2230,plain,
    ( converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) != join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))
    | converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) != zero
    | zero = join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))) ),[0],$fot(zero)]]) ).

cnf(refute_0_2231,plain,
    ( converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) != join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))
    | zero = join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),zero) )],[refute_0_2229,refute_0_2230]) ).

cnf(refute_0_2232,plain,
    join(zero,meet(converse(X_273),converse(complement(X_273)))) = meet(converse(X_273),converse(complement(X_273))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(meet(converse(X_273),converse(complement(X_273)))))]]) ).

cnf(refute_0_2233,plain,
    join(meet(converse(X_273),converse(complement(X_273))),zero) = join(zero,meet(converse(X_273),converse(complement(X_273)))),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(meet(converse(X_273),converse(complement(X_273))))),bind(X1,$fot(zero))]]) ).

cnf(refute_0_2234,plain,
    ( join(meet(converse(X_273),converse(complement(X_273))),zero) != join(zero,meet(converse(X_273),converse(complement(X_273))))
    | join(zero,meet(converse(X_273),converse(complement(X_273)))) != meet(converse(X_273),converse(complement(X_273)))
    | join(meet(converse(X_273),converse(complement(X_273))),zero) = meet(converse(X_273),converse(complement(X_273))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(converse(X_273),converse(complement(X_273))),zero))),bind(Y,$fot(join(zero,meet(converse(X_273),converse(complement(X_273)))))),bind(Z,$fot(meet(converse(X_273),converse(complement(X_273)))))]]) ).

cnf(refute_0_2235,plain,
    ( join(zero,meet(converse(X_273),converse(complement(X_273)))) != meet(converse(X_273),converse(complement(X_273)))
    | join(meet(converse(X_273),converse(complement(X_273))),zero) = meet(converse(X_273),converse(complement(X_273))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(X_273),converse(complement(X_273))),zero),join(zero,meet(converse(X_273),converse(complement(X_273))))) )],[refute_0_2233,refute_0_2234]) ).

cnf(refute_0_2236,plain,
    join(meet(converse(X_273),converse(complement(X_273))),zero) = meet(converse(X_273),converse(complement(X_273))),
    inference(resolve,[$cnf( $equal(join(zero,meet(converse(X_273),converse(complement(X_273)))),meet(converse(X_273),converse(complement(X_273)))) )],[refute_0_2232,refute_0_2235]) ).

cnf(refute_0_2237,plain,
    meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))) = converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),
    inference(subst,[],[refute_0_328:[bind(X_87,$fot(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))]]) ).

cnf(refute_0_2238,plain,
    ( converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) != zero
    | meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))) != converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))
    | meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))) = zero ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))),bind(Y,$fot(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))),bind(Z,$fot(zero))]]) ).

cnf(refute_0_2239,plain,
    ( converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) != zero
    | meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))) = zero ),
    inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))),converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))) )],[refute_0_2237,refute_0_2238]) ).

cnf(refute_0_2240,plain,
    meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))) = zero,
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),zero) )],[refute_0_2229,refute_0_2239]) ).

cnf(refute_0_2241,plain,
    join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) = join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))),
    introduced(tautology,[refl,[$fot(join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))))]]) ).

cnf(refute_0_2242,plain,
    ( join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) != join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))
    | meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))) != zero
    | join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) = join(meet(converse(X_273),converse(complement(X_273))),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))),join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2243,plain,
    ( meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))) != zero
    | join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) = join(meet(converse(X_273),converse(complement(X_273))),zero) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))),join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))) )],[refute_0_2241,refute_0_2242]) ).

cnf(refute_0_2244,plain,
    join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) = join(meet(converse(X_273),converse(complement(X_273))),zero),
    inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))),zero) )],[refute_0_2240,refute_0_2243]) ).

cnf(refute_0_2245,plain,
    ( join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) != join(meet(converse(X_273),converse(complement(X_273))),zero)
    | join(meet(converse(X_273),converse(complement(X_273))),zero) != meet(converse(X_273),converse(complement(X_273)))
    | join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) = meet(converse(X_273),converse(complement(X_273))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))))),bind(Y,$fot(join(meet(converse(X_273),converse(complement(X_273))),zero))),bind(Z,$fot(meet(converse(X_273),converse(complement(X_273)))))]]) ).

cnf(refute_0_2246,plain,
    ( join(meet(converse(X_273),converse(complement(X_273))),zero) != meet(converse(X_273),converse(complement(X_273)))
    | join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) = meet(converse(X_273),converse(complement(X_273))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))),join(meet(converse(X_273),converse(complement(X_273))),zero)) )],[refute_0_2244,refute_0_2245]) ).

cnf(refute_0_2247,plain,
    join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) = meet(converse(X_273),converse(complement(X_273))),
    inference(resolve,[$cnf( $equal(join(meet(converse(X_273),converse(complement(X_273))),zero),meet(converse(X_273),converse(complement(X_273)))) )],[refute_0_2236,refute_0_2246]) ).

cnf(refute_0_2248,plain,
    ( join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))) != meet(converse(X_273),converse(complement(X_273)))
    | zero != join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))
    | zero = meet(converse(X_273),converse(complement(X_273))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))) ),[1],$fot(meet(converse(X_273),converse(complement(X_273))))]]) ).

cnf(refute_0_2249,plain,
    ( zero != join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))
    | zero = meet(converse(X_273),converse(complement(X_273))) ),
    inference(resolve,[$cnf( $equal(join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))))),meet(converse(X_273),converse(complement(X_273)))) )],[refute_0_2247,refute_0_2248]) ).

cnf(refute_0_2250,plain,
    ( converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))) != join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))
    | zero = meet(converse(X_273),converse(complement(X_273))) ),
    inference(resolve,[$cnf( $equal(zero,join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))) )],[refute_0_2231,refute_0_2249]) ).

cnf(refute_0_2251,plain,
    zero = meet(converse(X_273),converse(complement(X_273))),
    inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273))))))),join(meet(converse(X_273),converse(complement(X_273))),meet(top,converse(complement(converse(complement(meet(converse(X_273),converse(complement(X_273)))))))))) )],[refute_0_2208,refute_0_2250]) ).

cnf(refute_0_2252,plain,
    ( zero != meet(converse(X_273),converse(complement(X_273)))
    | meet(converse(X_273),converse(complement(X_273))) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(converse(X_273),converse(complement(X_273)))))]]) ).

cnf(refute_0_2253,plain,
    meet(converse(X_273),converse(complement(X_273))) = zero,
    inference(resolve,[$cnf( $equal(zero,meet(converse(X_273),converse(complement(X_273)))) )],[refute_0_2251,refute_0_2252]) ).

cnf(refute_0_2254,plain,
    meet(converse(X_144),converse(complement(X_144))) = zero,
    inference(subst,[],[refute_0_2253:[bind(X_273,$fot(X_144))]]) ).

cnf(refute_0_2255,plain,
    join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) = join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))),
    introduced(tautology,[refl,[$fot(join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))))]]) ).

cnf(refute_0_2256,plain,
    ( join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) != join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144))))
    | meet(converse(X_144),converse(complement(X_144))) != zero
    | join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) = join(complement(converse(X_144)),zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))),join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144))))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_2257,plain,
    ( meet(converse(X_144),converse(complement(X_144))) != zero
    | join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) = join(complement(converse(X_144)),zero) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))),join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144))))) )],[refute_0_2255,refute_0_2256]) ).

cnf(refute_0_2258,plain,
    join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) = join(complement(converse(X_144)),zero),
    inference(resolve,[$cnf( $equal(meet(converse(X_144),converse(complement(X_144))),zero) )],[refute_0_2254,refute_0_2257]) ).

cnf(refute_0_2259,plain,
    ( join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) != join(complement(converse(X_144)),zero)
    | join(complement(converse(X_144)),zero) != complement(converse(X_144))
    | join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) = complement(converse(X_144)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))))),bind(Y,$fot(join(complement(converse(X_144)),zero))),bind(Z,$fot(complement(converse(X_144))))]]) ).

cnf(refute_0_2260,plain,
    ( join(complement(converse(X_144)),zero) != complement(converse(X_144))
    | join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) = complement(converse(X_144)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))),join(complement(converse(X_144)),zero)) )],[refute_0_2258,refute_0_2259]) ).

cnf(refute_0_2261,plain,
    join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) = complement(converse(X_144)),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_144)),zero),complement(converse(X_144))) )],[refute_0_2153,refute_0_2260]) ).

cnf(refute_0_2262,plain,
    ( converse(complement(X_144)) != join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144))))
    | join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))) != complement(converse(X_144))
    | converse(complement(X_144)) = complement(converse(X_144)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_144)),complement(converse(X_144))) ),[0],$fot(join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))))]]) ).

cnf(refute_0_2263,plain,
    ( converse(complement(X_144)) != join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144))))
    | converse(complement(X_144)) = complement(converse(X_144)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144)))),complement(converse(X_144))) )],[refute_0_2261,refute_0_2262]) ).

cnf(refute_0_2264,plain,
    converse(complement(X_144)) = complement(converse(X_144)),
    inference(resolve,[$cnf( $equal(converse(complement(X_144)),join(complement(converse(X_144)),meet(converse(X_144),converse(complement(X_144))))) )],[refute_0_2148,refute_0_2263]) ).

cnf(refute_0_2265,plain,
    converse(complement(converse(skolemFOFtoCNF_X0))) = complement(converse(converse(skolemFOFtoCNF_X0))),
    inference(subst,[],[refute_0_2264:[bind(X_144,$fot(converse(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2266,plain,
    ( complement(converse(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
    | converse(complement(converse(skolemFOFtoCNF_X0))) != complement(converse(converse(skolemFOFtoCNF_X0)))
    | converse(complement(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(converse(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2267,plain,
    ( complement(converse(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
    | converse(complement(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),complement(converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2265,refute_0_2266]) ).

cnf(refute_0_2268,plain,
    converse(complement(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(complement(converse(converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2113,refute_0_2267]) ).

cnf(refute_0_2269,plain,
    complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))),
    introduced(tautology,[refl,[$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_2270,plain,
    ( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
    | converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
    | complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2271,plain,
    ( converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
    | complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2269,refute_0_2270]) ).

cnf(refute_0_2272,plain,
    complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2268,refute_0_2271]) ).

cnf(refute_0_2273,plain,
    ( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != complement(complement(skolemFOFtoCNF_X0))
    | complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2274,plain,
    ( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
    | complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_2272,refute_0_2273]) ).

cnf(refute_0_2275,plain,
    complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0,
    inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1003,refute_0_2274]) ).

cnf(refute_0_2276,plain,
    composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))),
    introduced(tautology,[refl,[$fot(composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2277,plain,
    ( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
    | composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
    | composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_2278,plain,
    ( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
    | composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2276,refute_0_2277]) ).

cnf(refute_0_2279,plain,
    composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_2275,refute_0_2278]) ).

cnf(refute_0_2280,plain,
    composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),
    introduced(tautology,[refl,[$fot(composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).

cnf(refute_0_2281,plain,
    ( composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))
    | composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
    | composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2282,plain,
    ( composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
    | composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2280,refute_0_2281]) ).

cnf(refute_0_2283,plain,
    composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_2279,refute_0_2282]) ).

cnf(refute_0_2284,plain,
    composition(complement(one),composition(converse(X_179),X2)) = composition(composition(complement(one),converse(X_179)),X2),
    inference(subst,[],[refute_0_1188:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(X_179)))]]) ).

cnf(refute_0_2285,plain,
    converse(composition(X_179,complement(one))) = composition(complement(one),converse(X_179)),
    inference(subst,[],[refute_0_1662:[bind(X_23,$fot(X_179))]]) ).

cnf(refute_0_2286,plain,
    ( converse(composition(X_179,complement(one))) != composition(complement(one),converse(X_179))
    | composition(complement(one),converse(X_179)) = converse(composition(X_179,complement(one))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X_179,complement(one))))),bind(Y,$fot(composition(complement(one),converse(X_179))))]]) ).

cnf(refute_0_2287,plain,
    composition(complement(one),converse(X_179)) = converse(composition(X_179,complement(one))),
    inference(resolve,[$cnf( $equal(converse(composition(X_179,complement(one))),composition(complement(one),converse(X_179))) )],[refute_0_2285,refute_0_2286]) ).

cnf(refute_0_2288,plain,
    ( composition(complement(one),composition(converse(X_179),X2)) != composition(composition(complement(one),converse(X_179)),X2)
    | composition(complement(one),converse(X_179)) != converse(composition(X_179,complement(one)))
    | composition(complement(one),composition(converse(X_179),X2)) = composition(converse(composition(X_179,complement(one))),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),composition(converse(X_179),X2)),composition(composition(complement(one),converse(X_179)),X2)) ),[1,0],$fot(converse(composition(X_179,complement(one))))]]) ).

cnf(refute_0_2289,plain,
    ( composition(complement(one),composition(converse(X_179),X2)) != composition(composition(complement(one),converse(X_179)),X2)
    | composition(complement(one),composition(converse(X_179),X2)) = composition(converse(composition(X_179,complement(one))),X2) ),
    inference(resolve,[$cnf( $equal(composition(complement(one),converse(X_179)),converse(composition(X_179,complement(one)))) )],[refute_0_2287,refute_0_2288]) ).

cnf(refute_0_2290,plain,
    composition(complement(one),composition(converse(X_179),X2)) = composition(converse(composition(X_179,complement(one))),X2),
    inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(X_179),X2)),composition(composition(complement(one),converse(X_179)),X2)) )],[refute_0_2284,refute_0_2289]) ).

cnf(refute_0_2291,plain,
    ( composition(complement(one),composition(converse(X_179),X2)) != composition(converse(composition(X_179,complement(one))),X2)
    | composition(converse(composition(X_179,complement(one))),X2) = composition(complement(one),composition(converse(X_179),X2)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(complement(one),composition(converse(X_179),X2)))),bind(Y,$fot(composition(converse(composition(X_179,complement(one))),X2)))]]) ).

cnf(refute_0_2292,plain,
    composition(converse(composition(X_179,complement(one))),X2) = composition(complement(one),composition(converse(X_179),X2)),
    inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(X_179),X2)),composition(converse(composition(X_179,complement(one))),X2)) )],[refute_0_2290,refute_0_2291]) ).

cnf(refute_0_2293,plain,
    composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),
    inference(subst,[],[refute_0_2292:[bind(X2,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(X_179,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2294,plain,
    ( composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))
    | composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2295,plain,
    ( composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2293,refute_0_2294]) ).

cnf(refute_0_2296,plain,
    composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(skolemFOFtoCNF_X0),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_2283,refute_0_2295]) ).

cnf(refute_0_2297,plain,
    join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),
    introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).

cnf(refute_0_2298,plain,
    ( composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2299,plain,
    ( composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2297,refute_0_2298]) ).

cnf(refute_0_2300,plain,
    join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_2296,refute_0_2299]) ).

cnf(refute_0_2301,plain,
    ( join(complement(one),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(one),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(one),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_2302,plain,
    ( join(complement(one),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_2300,refute_0_2301]) ).

cnf(refute_0_2303,plain,
    join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_2108,refute_0_2302]) ).

cnf(refute_0_2304,plain,
    ( join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != complement(one)
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
    | composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),complement(one)) ),[0],$fot(composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2305,plain,
    ( join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != complement(one)
    | composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_2303,refute_0_2304]) ).

cnf(refute_0_2306,plain,
    composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(one))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),complement(one)) )],[refute_0_2107,refute_0_2305]) ).

cnf(refute_0_2307,plain,
    ( composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != complement(one)
    | join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) != complement(converse(complement(one)))
    | join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = complement(converse(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))),complement(converse(complement(one)))) ),[0,1,1,0,0],$fot(complement(one))]]) ).

cnf(refute_0_2308,plain,
    ( join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))) != complement(converse(complement(one)))
    | join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = complement(converse(complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_2306,refute_0_2307]) ).

cnf(refute_0_2309,plain,
    join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = complement(converse(complement(one))),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(composition(complement(one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))),complement(converse(complement(one)))) )],[refute_0_32,refute_0_2308]) ).

cnf(refute_0_2310,plain,
    composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
    inference(subst,[],[refute_0_34:[bind(X0,$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2311,plain,
    complement(converse(complement(one))) = complement(converse(complement(one))),
    introduced(tautology,[refl,[$fot(complement(converse(complement(one))))]]) ).

cnf(refute_0_2312,plain,
    ( complement(converse(complement(one))) != complement(converse(complement(one)))
    | converse(complement(one)) != complement(one)
    | complement(converse(complement(one))) = complement(complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(one))),complement(converse(complement(one)))) ),[1,0],$fot(complement(one))]]) ).

cnf(refute_0_2313,plain,
    ( converse(complement(one)) != complement(one)
    | complement(converse(complement(one))) = complement(complement(one)) ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(one))),complement(converse(complement(one)))) )],[refute_0_2311,refute_0_2312]) ).

cnf(refute_0_2314,plain,
    complement(converse(complement(one))) = complement(complement(one)),
    inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1519,refute_0_2313]) ).

cnf(refute_0_2315,plain,
    ( complement(complement(one)) != one
    | complement(converse(complement(one))) != complement(complement(one))
    | complement(converse(complement(one))) = one ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(converse(complement(one))))),bind(Y,$fot(complement(complement(one)))),bind(Z,$fot(one))]]) ).

cnf(refute_0_2316,plain,
    ( complement(complement(one)) != one
    | complement(converse(complement(one))) = one ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(one))),complement(complement(one))) )],[refute_0_2314,refute_0_2315]) ).

cnf(refute_0_2317,plain,
    complement(converse(complement(one))) = one,
    inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1461,refute_0_2316]) ).

cnf(refute_0_2318,plain,
    composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))),
    introduced(tautology,[refl,[$fot(composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))))]]) ).

cnf(refute_0_2319,plain,
    ( complement(converse(complement(one))) != one
    | composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) != composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))
    | composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_2320,plain,
    ( complement(converse(complement(one))) != one
    | composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one) ),
    inference(resolve,[$cnf( $equal(composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) )],[refute_0_2318,refute_0_2319]) ).

cnf(refute_0_2321,plain,
    composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),
    inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_2317,refute_0_2320]) ).

cnf(refute_0_2322,plain,
    join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)) = join(X_41,join(one,composition(meet(one,complement(composition(top,complement(one)))),top))),
    inference(subst,[],[refute_0_622:[bind(X0,$fot(composition(meet(one,complement(composition(top,complement(one)))),top))),bind(X_42,$fot(one))]]) ).

cnf(refute_0_2323,plain,
    join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)))))) = complement(converse(complement(one))),
    inference(subst,[],[refute_0_31:[bind(X_23,$fot(complement(one))),bind(X_24,$fot(composition(meet(one,complement(composition(top,complement(one)))),top)))]]) ).

cnf(refute_0_2324,plain,
    ( composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)) != zero
    | join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)))))) != complement(converse(complement(one)))
    | join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = complement(converse(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)))))),complement(converse(complement(one)))) ),[0,1,1,0,0],$fot(zero)]]) ).

cnf(refute_0_2325,plain,
    ( join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)))))) != complement(converse(complement(one)))
    | join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = complement(converse(complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)),zero) )],[refute_0_1886,refute_0_2324]) ).

cnf(refute_0_2326,plain,
    join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = complement(converse(complement(one))),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(composition(complement(one),composition(meet(one,complement(composition(top,complement(one)))),top)))))),complement(converse(complement(one)))) )],[refute_0_2323,refute_0_2325]) ).

cnf(refute_0_2327,plain,
    converse(composition(top,join(one,complement(one)))) = top,
    inference(subst,[],[refute_0_1380:[bind(X0,$fot(complement(one)))]]) ).

cnf(refute_0_2328,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_2329,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_1670,refute_0_2328]) ).

cnf(refute_0_2330,plain,
    converse(composition(top,top)) = top,
    inference(resolve,[$cnf( $equal(converse(composition(top,join(one,complement(one)))),top) )],[refute_0_2327,refute_0_2329]) ).

cnf(refute_0_2331,plain,
    ( converse(composition(top,top)) != composition(top,top)
    | converse(composition(top,top)) != top
    | composition(top,top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,top)),top) ),[0],$fot(composition(top,top))]]) ).

cnf(refute_0_2332,plain,
    ( converse(composition(top,top)) != top
    | composition(top,top) = top ),
    inference(resolve,[$cnf( $equal(converse(composition(top,top)),composition(top,top)) )],[refute_0_1240,refute_0_2331]) ).

cnf(refute_0_2333,plain,
    composition(top,top) = top,
    inference(resolve,[$cnf( $equal(converse(composition(top,top)),top) )],[refute_0_2330,refute_0_2332]) ).

cnf(refute_0_2334,plain,
    composition(top,complement(converse(zero))) = composition(top,complement(converse(zero))),
    introduced(tautology,[refl,[$fot(composition(top,complement(converse(zero))))]]) ).

cnf(refute_0_2335,plain,
    ( complement(converse(zero)) != top
    | composition(top,complement(converse(zero))) != composition(top,complement(converse(zero)))
    | composition(top,complement(converse(zero))) = composition(top,top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,complement(converse(zero)))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2336,plain,
    ( complement(converse(zero)) != top
    | composition(top,complement(converse(zero))) = composition(top,top) ),
    inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,complement(converse(zero)))) )],[refute_0_2334,refute_0_2335]) ).

cnf(refute_0_2337,plain,
    composition(top,complement(converse(zero))) = composition(top,top),
    inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_1075,refute_0_2336]) ).

cnf(refute_0_2338,plain,
    ( composition(top,complement(converse(zero))) != composition(top,top)
    | composition(top,top) != top
    | composition(top,complement(converse(zero))) = top ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(top,complement(converse(zero))))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).

cnf(refute_0_2339,plain,
    ( composition(top,top) != top
    | composition(top,complement(converse(zero))) = top ),
    inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,top)) )],[refute_0_2337,refute_0_2338]) ).

cnf(refute_0_2340,plain,
    composition(top,complement(converse(zero))) = top,
    inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2333,refute_0_2339]) ).

cnf(refute_0_2341,plain,
    composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))) = composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))),
    introduced(tautology,[refl,[$fot(composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))))]]) ).

cnf(refute_0_2342,plain,
    ( composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))) != composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero))))
    | composition(top,complement(converse(zero))) != top
    | composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))) = composition(meet(one,complement(composition(top,complement(one)))),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))),composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2343,plain,
    ( composition(top,complement(converse(zero))) != top
    | composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))) = composition(meet(one,complement(composition(top,complement(one)))),top) ),
    inference(resolve,[$cnf( $equal(composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))),composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero))))) )],[refute_0_2341,refute_0_2342]) ).

cnf(refute_0_2344,plain,
    composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))) = composition(meet(one,complement(composition(top,complement(one)))),top),
    inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),top) )],[refute_0_2340,refute_0_2343]) ).

cnf(refute_0_2345,plain,
    composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))) = composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(meet(one,complement(composition(top,complement(one)))))),bind(X1,$fot(top)),bind(X2,$fot(complement(converse(zero))))]]) ).

cnf(refute_0_2346,plain,
    ( composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))) != composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero))))
    | composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))) != composition(meet(one,complement(composition(top,complement(one)))),top)
    | composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))) = composition(meet(one,complement(composition(top,complement(one)))),top) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))))),bind(Y,$fot(composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))))),bind(Z,$fot(composition(meet(one,complement(composition(top,complement(one)))),top)))]]) ).

cnf(refute_0_2347,plain,
    ( composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))) != composition(meet(one,complement(composition(top,complement(one)))),top)
    | composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))) = composition(meet(one,complement(composition(top,complement(one)))),top) ),
    inference(resolve,[$cnf( $equal(composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))),composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero))))) )],[refute_0_2345,refute_0_2346]) ).

cnf(refute_0_2348,plain,
    composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))) = composition(meet(one,complement(composition(top,complement(one)))),top),
    inference(resolve,[$cnf( $equal(composition(meet(one,complement(composition(top,complement(one)))),composition(top,complement(converse(zero)))),composition(meet(one,complement(composition(top,complement(one)))),top)) )],[refute_0_2344,refute_0_2347]) ).

cnf(refute_0_2349,plain,
    join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),
    introduced(tautology,[refl,[$fot(join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))))]]) ).

cnf(refute_0_2350,plain,
    ( composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))) != composition(meet(one,complement(composition(top,complement(one)))),top)
    | join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) != join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))))
    | join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))))) ),[1,1],$fot(composition(meet(one,complement(composition(top,complement(one)))),top))]]) ).

cnf(refute_0_2351,plain,
    ( composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))) != composition(meet(one,complement(composition(top,complement(one)))),top)
    | join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) ),
    inference(resolve,[$cnf( $equal(join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))))) )],[refute_0_2349,refute_0_2350]) ).

cnf(refute_0_2352,plain,
    join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(one,composition(meet(one,complement(composition(top,complement(one)))),top)),
    inference(resolve,[$cnf( $equal(composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))),composition(meet(one,complement(composition(top,complement(one)))),top)) )],[refute_0_2348,refute_0_2351]) ).

cnf(refute_0_2353,plain,
    join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),
    introduced(tautology,[refl,[$fot(join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))))]]) ).

cnf(refute_0_2354,plain,
    ( complement(converse(complement(one))) != one
    | join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) != join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))))
    | join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2355,plain,
    ( complement(converse(complement(one))) != one
    | join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))))) )],[refute_0_2353,refute_0_2354]) ).

cnf(refute_0_2356,plain,
    join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),
    inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_2317,refute_0_2355]) ).

cnf(refute_0_2357,plain,
    ( join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) != join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))))
    | join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) != join(one,composition(meet(one,complement(composition(top,complement(one)))),top))
    | join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))))),bind(Y,$fot(join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))))),bind(Z,$fot(join(one,composition(meet(one,complement(composition(top,complement(one)))),top))))]]) ).

cnf(refute_0_2358,plain,
    ( join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) != join(one,composition(meet(one,complement(composition(top,complement(one)))),top))
    | join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero))))) )],[refute_0_2356,refute_0_2357]) ).

cnf(refute_0_2359,plain,
    join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) = join(one,composition(meet(one,complement(composition(top,complement(one)))),top)),
    inference(resolve,[$cnf( $equal(join(one,composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),join(one,composition(meet(one,complement(composition(top,complement(one)))),top))) )],[refute_0_2352,refute_0_2358]) ).

cnf(refute_0_2360,plain,
    ( join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) != complement(converse(complement(one)))
    | join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) != join(one,composition(meet(one,complement(composition(top,complement(one)))),top))
    | join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) = complement(converse(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),complement(converse(complement(one)))) ),[0],$fot(join(one,composition(meet(one,complement(composition(top,complement(one)))),top)))]]) ).

cnf(refute_0_2361,plain,
    ( join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) != complement(converse(complement(one)))
    | join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) = complement(converse(complement(one))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),join(one,composition(meet(one,complement(composition(top,complement(one)))),top))) )],[refute_0_2359,refute_0_2360]) ).

cnf(refute_0_2362,plain,
    ( complement(converse(complement(one))) != one
    | join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) != complement(converse(complement(one)))
    | join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,composition(meet(one,complement(composition(top,complement(one)))),top)),complement(converse(complement(one)))) ),[1],$fot(one)]]) ).

cnf(refute_0_2363,plain,
    ( join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) != complement(converse(complement(one)))
    | join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) = one ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_2317,refute_0_2362]) ).

cnf(refute_0_2364,plain,
    ( join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))) != complement(converse(complement(one)))
    | join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) = one ),
    inference(resolve,[$cnf( $equal(join(one,composition(meet(one,complement(composition(top,complement(one)))),top)),complement(converse(complement(one)))) )],[refute_0_2361,refute_0_2363]) ).

cnf(refute_0_2365,plain,
    join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) = one,
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(composition(meet(one,complement(composition(top,complement(one)))),top),complement(converse(zero)))),complement(converse(complement(one)))) )],[refute_0_2326,refute_0_2364]) ).

cnf(refute_0_2366,plain,
    ( join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)) != join(X_41,join(one,composition(meet(one,complement(composition(top,complement(one)))),top)))
    | join(one,composition(meet(one,complement(composition(top,complement(one)))),top)) != one
    | join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)) = join(X_41,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)),join(X_41,join(one,composition(meet(one,complement(composition(top,complement(one)))),top)))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_2367,plain,
    ( join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)) != join(X_41,join(one,composition(meet(one,complement(composition(top,complement(one)))),top)))
    | join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)) = join(X_41,one) ),
    inference(resolve,[$cnf( $equal(join(one,composition(meet(one,complement(composition(top,complement(one)))),top)),one) )],[refute_0_2365,refute_0_2366]) ).

cnf(refute_0_2368,plain,
    join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)) = join(X_41,one),
    inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)),join(X_41,join(one,composition(meet(one,complement(composition(top,complement(one)))),top)))) )],[refute_0_2322,refute_0_2367]) ).

cnf(refute_0_2369,plain,
    join(X0,join(X1,join(X_261,join(X0,X1)))) = join(join(X0,X1),join(X_261,join(X0,X1))),
    inference(subst,[],[refute_0_61:[bind(X2,$fot(join(X_261,join(X0,X1))))]]) ).

cnf(refute_0_2370,plain,
    join(join(X0,X1),join(X_261,join(X0,X1))) = join(X_261,join(X0,X1)),
    inference(subst,[],[refute_0_371:[bind(X_42,$fot(X_261)),bind(X_43,$fot(join(X0,X1)))]]) ).

cnf(refute_0_2371,plain,
    ( join(X0,join(X1,join(X_261,join(X0,X1)))) != join(join(X0,X1),join(X_261,join(X0,X1)))
    | join(join(X0,X1),join(X_261,join(X0,X1))) != join(X_261,join(X0,X1))
    | join(X0,join(X1,join(X_261,join(X0,X1)))) = join(X_261,join(X0,X1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,join(X_261,join(X0,X1)))),join(X_261,join(X0,X1))) ),[0],$fot(join(join(X0,X1),join(X_261,join(X0,X1))))]]) ).

cnf(refute_0_2372,plain,
    ( join(X0,join(X1,join(X_261,join(X0,X1)))) != join(join(X0,X1),join(X_261,join(X0,X1)))
    | join(X0,join(X1,join(X_261,join(X0,X1)))) = join(X_261,join(X0,X1)) ),
    inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_261,join(X0,X1))),join(X_261,join(X0,X1))) )],[refute_0_2370,refute_0_2371]) ).

cnf(refute_0_2373,plain,
    join(X0,join(X1,join(X_261,join(X0,X1)))) = join(X_261,join(X0,X1)),
    inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_261,join(X0,X1)))),join(join(X0,X1),join(X_261,join(X0,X1)))) )],[refute_0_2369,refute_0_2372]) ).

cnf(refute_0_2374,plain,
    join(X0,join(X_41,join(X_261,X_41))) = join(X_41,join(join(X_261,X_41),X0)),
    inference(subst,[],[refute_0_622:[bind(X_42,$fot(join(X_261,X_41)))]]) ).

cnf(refute_0_2375,plain,
    join(X_41,join(X_261,X_41)) = join(X_261,X_41),
    inference(subst,[],[refute_0_371:[bind(X_42,$fot(X_261)),bind(X_43,$fot(X_41))]]) ).

cnf(refute_0_2376,plain,
    ( join(X0,join(X_41,join(X_261,X_41))) != join(X_41,join(join(X_261,X_41),X0))
    | join(X_41,join(X_261,X_41)) != join(X_261,X_41)
    | join(X0,join(X_261,X_41)) = join(X_41,join(join(X_261,X_41),X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X_41,join(X_261,X_41))),join(X_41,join(join(X_261,X_41),X0))) ),[0,1],$fot(join(X_261,X_41))]]) ).

cnf(refute_0_2377,plain,
    ( join(X0,join(X_41,join(X_261,X_41))) != join(X_41,join(join(X_261,X_41),X0))
    | join(X0,join(X_261,X_41)) = join(X_41,join(join(X_261,X_41),X0)) ),
    inference(resolve,[$cnf( $equal(join(X_41,join(X_261,X_41)),join(X_261,X_41)) )],[refute_0_2375,refute_0_2376]) ).

cnf(refute_0_2378,plain,
    join(X0,join(X_261,X_41)) = join(X_41,join(join(X_261,X_41),X0)),
    inference(resolve,[$cnf( $equal(join(X0,join(X_41,join(X_261,X_41))),join(X_41,join(join(X_261,X_41),X0))) )],[refute_0_2374,refute_0_2377]) ).

cnf(refute_0_2379,plain,
    join(join(X_261,X_41),X0) = join(X_261,join(X_41,X0)),
    inference(subst,[],[refute_0_70:[bind(X0,$fot(X_261)),bind(X1,$fot(X_41)),bind(X2,$fot(X0))]]) ).

cnf(refute_0_2380,plain,
    join(X_41,join(join(X_261,X_41),X0)) = join(X_41,join(join(X_261,X_41),X0)),
    introduced(tautology,[refl,[$fot(join(X_41,join(join(X_261,X_41),X0)))]]) ).

cnf(refute_0_2381,plain,
    ( join(X_41,join(join(X_261,X_41),X0)) != join(X_41,join(join(X_261,X_41),X0))
    | join(join(X_261,X_41),X0) != join(X_261,join(X_41,X0))
    | join(X_41,join(join(X_261,X_41),X0)) = join(X_41,join(X_261,join(X_41,X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(join(X_261,X_41),X0)),join(X_41,join(join(X_261,X_41),X0))) ),[1,1],$fot(join(X_261,join(X_41,X0)))]]) ).

cnf(refute_0_2382,plain,
    ( join(join(X_261,X_41),X0) != join(X_261,join(X_41,X0))
    | join(X_41,join(join(X_261,X_41),X0)) = join(X_41,join(X_261,join(X_41,X0))) ),
    inference(resolve,[$cnf( $equal(join(X_41,join(join(X_261,X_41),X0)),join(X_41,join(join(X_261,X_41),X0))) )],[refute_0_2380,refute_0_2381]) ).

cnf(refute_0_2383,plain,
    join(X_41,join(join(X_261,X_41),X0)) = join(X_41,join(X_261,join(X_41,X0))),
    inference(resolve,[$cnf( $equal(join(join(X_261,X_41),X0),join(X_261,join(X_41,X0))) )],[refute_0_2379,refute_0_2382]) ).

cnf(refute_0_2384,plain,
    ( join(X0,join(X_261,X_41)) != join(X_41,join(join(X_261,X_41),X0))
    | join(X_41,join(join(X_261,X_41),X0)) != join(X_41,join(X_261,join(X_41,X0)))
    | join(X0,join(X_261,X_41)) = join(X_41,join(X_261,join(X_41,X0))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_261,X_41)),join(X_41,join(X_261,join(X_41,X0)))) ),[0],$fot(join(X_41,join(join(X_261,X_41),X0)))]]) ).

cnf(refute_0_2385,plain,
    ( join(X0,join(X_261,X_41)) != join(X_41,join(join(X_261,X_41),X0))
    | join(X0,join(X_261,X_41)) = join(X_41,join(X_261,join(X_41,X0))) ),
    inference(resolve,[$cnf( $equal(join(X_41,join(join(X_261,X_41),X0)),join(X_41,join(X_261,join(X_41,X0)))) )],[refute_0_2383,refute_0_2384]) ).

cnf(refute_0_2386,plain,
    join(X0,join(X_261,X_41)) = join(X_41,join(X_261,join(X_41,X0))),
    inference(resolve,[$cnf( $equal(join(X0,join(X_261,X_41)),join(X_41,join(join(X_261,X_41),X0))) )],[refute_0_2378,refute_0_2385]) ).

cnf(refute_0_2387,plain,
    ( join(X0,join(X_261,X_41)) != join(X_41,join(X_261,join(X_41,X0)))
    | join(X_41,join(X_261,join(X_41,X0))) = join(X0,join(X_261,X_41)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X_261,X_41)))),bind(Y,$fot(join(X_41,join(X_261,join(X_41,X0)))))]]) ).

cnf(refute_0_2388,plain,
    join(X_41,join(X_261,join(X_41,X0))) = join(X0,join(X_261,X_41)),
    inference(resolve,[$cnf( $equal(join(X0,join(X_261,X_41)),join(X_41,join(X_261,join(X_41,X0)))) )],[refute_0_2386,refute_0_2387]) ).

cnf(refute_0_2389,plain,
    join(X0,join(X_261,join(X0,X1))) = join(X1,join(X_261,X0)),
    inference(subst,[],[refute_0_2388:[bind(X0,$fot(X1)),bind(X_41,$fot(X0))]]) ).

cnf(refute_0_2390,plain,
    join(X_41,join(X_42,join(X_261,X_41))) = join(X_42,join(X_41,join(X_261,X_41))),
    inference(subst,[],[refute_0_74:[bind(X_43,$fot(join(X_261,X_41)))]]) ).

cnf(refute_0_2391,plain,
    ( join(X_41,join(X_261,X_41)) != join(X_261,X_41)
    | join(X_41,join(X_42,join(X_261,X_41))) != join(X_42,join(X_41,join(X_261,X_41)))
    | join(X_41,join(X_42,join(X_261,X_41))) = join(X_42,join(X_261,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(X_42,join(X_261,X_41))),join(X_42,join(X_41,join(X_261,X_41)))) ),[1,1],$fot(join(X_261,X_41))]]) ).

cnf(refute_0_2392,plain,
    ( join(X_41,join(X_42,join(X_261,X_41))) != join(X_42,join(X_41,join(X_261,X_41)))
    | join(X_41,join(X_42,join(X_261,X_41))) = join(X_42,join(X_261,X_41)) ),
    inference(resolve,[$cnf( $equal(join(X_41,join(X_261,X_41)),join(X_261,X_41)) )],[refute_0_2375,refute_0_2391]) ).

cnf(refute_0_2393,plain,
    join(X_41,join(X_42,join(X_261,X_41))) = join(X_42,join(X_261,X_41)),
    inference(resolve,[$cnf( $equal(join(X_41,join(X_42,join(X_261,X_41))),join(X_42,join(X_41,join(X_261,X_41)))) )],[refute_0_2390,refute_0_2392]) ).

cnf(refute_0_2394,plain,
    join(X1,join(X_261,join(X0,X1))) = join(X_261,join(X0,X1)),
    inference(subst,[],[refute_0_2393:[bind(X_261,$fot(X0)),bind(X_41,$fot(X1)),bind(X_42,$fot(X_261))]]) ).

cnf(refute_0_2395,plain,
    join(X0,join(X1,join(X_261,join(X0,X1)))) = join(X0,join(X1,join(X_261,join(X0,X1)))),
    introduced(tautology,[refl,[$fot(join(X0,join(X1,join(X_261,join(X0,X1)))))]]) ).

cnf(refute_0_2396,plain,
    ( join(X0,join(X1,join(X_261,join(X0,X1)))) != join(X0,join(X1,join(X_261,join(X0,X1))))
    | join(X1,join(X_261,join(X0,X1))) != join(X_261,join(X0,X1))
    | join(X0,join(X1,join(X_261,join(X0,X1)))) = join(X0,join(X_261,join(X0,X1))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_261,join(X0,X1)))),join(X0,join(X1,join(X_261,join(X0,X1))))) ),[1,1],$fot(join(X_261,join(X0,X1)))]]) ).

cnf(refute_0_2397,plain,
    ( join(X1,join(X_261,join(X0,X1))) != join(X_261,join(X0,X1))
    | join(X0,join(X1,join(X_261,join(X0,X1)))) = join(X0,join(X_261,join(X0,X1))) ),
    inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_261,join(X0,X1)))),join(X0,join(X1,join(X_261,join(X0,X1))))) )],[refute_0_2395,refute_0_2396]) ).

cnf(refute_0_2398,plain,
    join(X0,join(X1,join(X_261,join(X0,X1)))) = join(X0,join(X_261,join(X0,X1))),
    inference(resolve,[$cnf( $equal(join(X1,join(X_261,join(X0,X1))),join(X_261,join(X0,X1))) )],[refute_0_2394,refute_0_2397]) ).

cnf(refute_0_2399,plain,
    ( join(X0,join(X1,join(X_261,join(X0,X1)))) != join(X0,join(X_261,join(X0,X1)))
    | join(X0,join(X_261,join(X0,X1))) != join(X1,join(X_261,X0))
    | join(X0,join(X1,join(X_261,join(X0,X1)))) = join(X1,join(X_261,X0)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(X0,join(X1,join(X_261,join(X0,X1)))))),bind(Y,$fot(join(X0,join(X_261,join(X0,X1))))),bind(Z,$fot(join(X1,join(X_261,X0))))]]) ).

cnf(refute_0_2400,plain,
    ( join(X0,join(X_261,join(X0,X1))) != join(X1,join(X_261,X0))
    | join(X0,join(X1,join(X_261,join(X0,X1)))) = join(X1,join(X_261,X0)) ),
    inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_261,join(X0,X1)))),join(X0,join(X_261,join(X0,X1)))) )],[refute_0_2398,refute_0_2399]) ).

cnf(refute_0_2401,plain,
    join(X0,join(X1,join(X_261,join(X0,X1)))) = join(X1,join(X_261,X0)),
    inference(resolve,[$cnf( $equal(join(X0,join(X_261,join(X0,X1))),join(X1,join(X_261,X0))) )],[refute_0_2389,refute_0_2400]) ).

cnf(refute_0_2402,plain,
    ( join(X0,join(X1,join(X_261,join(X0,X1)))) != join(X1,join(X_261,X0))
    | join(X0,join(X1,join(X_261,join(X0,X1)))) != join(X_261,join(X0,X1))
    | join(X1,join(X_261,X0)) = join(X_261,join(X0,X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_261,join(X0,X1)))),join(X_261,join(X0,X1))) ),[0],$fot(join(X1,join(X_261,X0)))]]) ).

cnf(refute_0_2403,plain,
    ( join(X0,join(X1,join(X_261,join(X0,X1)))) != join(X_261,join(X0,X1))
    | join(X1,join(X_261,X0)) = join(X_261,join(X0,X1)) ),
    inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_261,join(X0,X1)))),join(X1,join(X_261,X0))) )],[refute_0_2401,refute_0_2402]) ).

cnf(refute_0_2404,plain,
    join(X1,join(X_261,X0)) = join(X_261,join(X0,X1)),
    inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_261,join(X0,X1)))),join(X_261,join(X0,X1))) )],[refute_0_2373,refute_0_2403]) ).

cnf(refute_0_2405,plain,
    ( join(X1,join(X_261,X0)) != join(X_261,join(X0,X1))
    | join(X_261,join(X0,X1)) = join(X1,join(X_261,X0)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X1,join(X_261,X0)))),bind(Y,$fot(join(X_261,join(X0,X1))))]]) ).

cnf(refute_0_2406,plain,
    join(X_261,join(X0,X1)) = join(X1,join(X_261,X0)),
    inference(resolve,[$cnf( $equal(join(X1,join(X_261,X0)),join(X_261,join(X0,X1))) )],[refute_0_2404,refute_0_2405]) ).

cnf(refute_0_2407,plain,
    join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)) = join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)),
    inference(subst,[],[refute_0_2406:[bind(X0,$fot(X_41)),bind(X1,$fot(one)),bind(X_261,$fot(composition(meet(one,complement(composition(top,complement(one)))),top)))]]) ).

cnf(refute_0_2408,plain,
    ( join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)) != join(X_41,one)
    | join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)) != join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41))
    | join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) = join(X_41,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)),join(X_41,one)) ),[0],$fot(join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)))]]) ).

cnf(refute_0_2409,plain,
    ( join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)) != join(X_41,one)
    | join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) = join(X_41,one) ),
    inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)),join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41))) )],[refute_0_2407,refute_0_2408]) ).

cnf(refute_0_2410,plain,
    join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) = join(X_41,one),
    inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(composition(top,complement(one)))),top),join(X_41,one)),join(X_41,one)) )],[refute_0_2368,refute_0_2409]) ).

cnf(refute_0_2411,plain,
    join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125) = join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),
    inference(subst,[],[refute_0_864:[bind(X0,$fot(one)),bind(X_10,$fot(composition(top,complement(composition(top,complement(one)))))),bind(X_9,$fot(X_125))]]) ).

cnf(refute_0_2412,plain,
    join(complement(converse(complement(one))),composition(top,complement(converse(composition(complement(one),top))))) = complement(converse(complement(one))),
    inference(subst,[],[refute_0_31:[bind(X_23,$fot(complement(one))),bind(X_24,$fot(top))]]) ).

cnf(refute_0_2413,plain,
    ( converse(composition(complement(one),top)) != composition(top,complement(one))
    | join(complement(converse(complement(one))),composition(top,complement(converse(composition(complement(one),top))))) != complement(converse(complement(one)))
    | join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) = complement(converse(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),composition(top,complement(converse(composition(complement(one),top))))),complement(converse(complement(one)))) ),[0,1,1,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_2414,plain,
    ( join(complement(converse(complement(one))),composition(top,complement(converse(composition(complement(one),top))))) != complement(converse(complement(one)))
    | join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) = complement(converse(complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_1544,refute_0_2413]) ).

cnf(refute_0_2415,plain,
    join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) = complement(converse(complement(one))),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(top,complement(converse(composition(complement(one),top))))),complement(converse(complement(one)))) )],[refute_0_2412,refute_0_2414]) ).

cnf(refute_0_2416,plain,
    join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) = join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))),
    introduced(tautology,[refl,[$fot(join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_2417,plain,
    ( complement(converse(complement(one))) != one
    | join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) != join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one)))))
    | join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) = join(one,composition(top,complement(composition(top,complement(one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))),join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one)))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2418,plain,
    ( complement(converse(complement(one))) != one
    | join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) = join(one,composition(top,complement(composition(top,complement(one))))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))),join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one)))))) )],[refute_0_2416,refute_0_2417]) ).

cnf(refute_0_2419,plain,
    join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) = join(one,composition(top,complement(composition(top,complement(one))))),
    inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_2317,refute_0_2418]) ).

cnf(refute_0_2420,plain,
    ( join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) != complement(converse(complement(one)))
    | join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) != join(one,composition(top,complement(composition(top,complement(one)))))
    | join(one,composition(top,complement(composition(top,complement(one))))) = complement(converse(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))),complement(converse(complement(one)))) ),[0],$fot(join(one,composition(top,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_2421,plain,
    ( join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) != complement(converse(complement(one)))
    | join(one,composition(top,complement(composition(top,complement(one))))) = complement(converse(complement(one))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))),join(one,composition(top,complement(composition(top,complement(one)))))) )],[refute_0_2419,refute_0_2420]) ).

cnf(refute_0_2422,plain,
    ( complement(converse(complement(one))) != one
    | join(one,composition(top,complement(composition(top,complement(one))))) != complement(converse(complement(one)))
    | join(one,composition(top,complement(composition(top,complement(one))))) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,composition(top,complement(composition(top,complement(one))))),complement(converse(complement(one)))) ),[1],$fot(one)]]) ).

cnf(refute_0_2423,plain,
    ( join(one,composition(top,complement(composition(top,complement(one))))) != complement(converse(complement(one)))
    | join(one,composition(top,complement(composition(top,complement(one))))) = one ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_2317,refute_0_2422]) ).

cnf(refute_0_2424,plain,
    ( join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))) != complement(converse(complement(one)))
    | join(one,composition(top,complement(composition(top,complement(one))))) = one ),
    inference(resolve,[$cnf( $equal(join(one,composition(top,complement(composition(top,complement(one))))),complement(converse(complement(one)))) )],[refute_0_2421,refute_0_2423]) ).

cnf(refute_0_2425,plain,
    join(one,composition(top,complement(composition(top,complement(one))))) = one,
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(top,complement(composition(top,complement(one))))),complement(converse(complement(one)))) )],[refute_0_2415,refute_0_2424]) ).

cnf(refute_0_2426,plain,
    ( join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125) != join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(one,composition(top,complement(composition(top,complement(one))))) != one
    | join(converse(one),X_125) = join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125),join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) ),[0,0,0],$fot(one)]]) ).

cnf(refute_0_2427,plain,
    ( join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125) != join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(converse(one),X_125) = join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) ),
    inference(resolve,[$cnf( $equal(join(one,composition(top,complement(composition(top,complement(one))))),one) )],[refute_0_2425,refute_0_2426]) ).

cnf(refute_0_2428,plain,
    join(converse(one),X_125) = join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),
    inference(resolve,[$cnf( $equal(join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125),join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) )],[refute_0_2411,refute_0_2427]) ).

cnf(refute_0_2429,plain,
    join(converse(one),X_125) = join(converse(one),X_125),
    introduced(tautology,[refl,[$fot(join(converse(one),X_125))]]) ).

cnf(refute_0_2430,plain,
    ( converse(one) != one
    | join(converse(one),X_125) != join(converse(one),X_125)
    | join(converse(one),X_125) = join(one,X_125) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_125),join(converse(one),X_125)) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2431,plain,
    ( converse(one) != one
    | join(converse(one),X_125) = join(one,X_125) ),
    inference(resolve,[$cnf( $equal(join(converse(one),X_125),join(converse(one),X_125)) )],[refute_0_2429,refute_0_2430]) ).

cnf(refute_0_2432,plain,
    join(converse(one),X_125) = join(one,X_125),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_99,refute_0_2431]) ).

cnf(refute_0_2433,plain,
    ( join(converse(one),X_125) != join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(converse(one),X_125) != join(one,X_125)
    | join(one,X_125) = join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_125),join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) ),[0],$fot(join(one,X_125))]]) ).

cnf(refute_0_2434,plain,
    ( join(converse(one),X_125) != join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(one,X_125) = join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) ),
    inference(resolve,[$cnf( $equal(join(converse(one),X_125),join(one,X_125)) )],[refute_0_2432,refute_0_2433]) ).

cnf(refute_0_2435,plain,
    join(one,join(converse(X_70),X2)) = join(join(one,converse(X_70)),X2),
    inference(subst,[],[refute_0_61:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_70)))]]) ).

cnf(refute_0_2436,plain,
    converse(join(one,X_70)) = join(one,converse(X_70)),
    inference(subst,[],[refute_0_1338:[bind(X_6,$fot(X_70))]]) ).

cnf(refute_0_2437,plain,
    ( converse(join(one,X_70)) != join(one,converse(X_70))
    | join(one,converse(X_70)) = converse(join(one,X_70)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,X_70)))),bind(Y,$fot(join(one,converse(X_70))))]]) ).

cnf(refute_0_2438,plain,
    join(one,converse(X_70)) = converse(join(one,X_70)),
    inference(resolve,[$cnf( $equal(converse(join(one,X_70)),join(one,converse(X_70))) )],[refute_0_2436,refute_0_2437]) ).

cnf(refute_0_2439,plain,
    ( join(one,converse(X_70)) != converse(join(one,X_70))
    | join(one,join(converse(X_70),X2)) != join(join(one,converse(X_70)),X2)
    | join(one,join(converse(X_70),X2)) = join(converse(join(one,X_70)),X2) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_70),X2)),join(join(one,converse(X_70)),X2)) ),[1,0],$fot(converse(join(one,X_70)))]]) ).

cnf(refute_0_2440,plain,
    ( join(one,join(converse(X_70),X2)) != join(join(one,converse(X_70)),X2)
    | join(one,join(converse(X_70),X2)) = join(converse(join(one,X_70)),X2) ),
    inference(resolve,[$cnf( $equal(join(one,converse(X_70)),converse(join(one,X_70))) )],[refute_0_2438,refute_0_2439]) ).

cnf(refute_0_2441,plain,
    join(one,join(converse(X_70),X2)) = join(converse(join(one,X_70)),X2),
    inference(resolve,[$cnf( $equal(join(one,join(converse(X_70),X2)),join(join(one,converse(X_70)),X2)) )],[refute_0_2435,refute_0_2440]) ).

cnf(refute_0_2442,plain,
    ( join(one,join(converse(X_70),X2)) != join(converse(join(one,X_70)),X2)
    | join(converse(join(one,X_70)),X2) = join(one,join(converse(X_70),X2)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,join(converse(X_70),X2)))),bind(Y,$fot(join(converse(join(one,X_70)),X2)))]]) ).

cnf(refute_0_2443,plain,
    join(converse(join(one,X_70)),X2) = join(one,join(converse(X_70),X2)),
    inference(resolve,[$cnf( $equal(join(one,join(converse(X_70),X2)),join(converse(join(one,X_70)),X2)) )],[refute_0_2441,refute_0_2442]) ).

cnf(refute_0_2444,plain,
    join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125) = join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),
    inference(subst,[],[refute_0_2443:[bind(X2,$fot(X_125)),bind(X_70,$fot(composition(top,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_2445,plain,
    ( join(converse(join(X0,X_10)),X_9) != join(converse(X0),join(converse(X_10),X_9))
    | join(converse(X0),join(converse(X_10),X_9)) = join(converse(join(X0,X_10)),X_9) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(converse(join(X0,X_10)),X_9))),bind(Y,$fot(join(converse(X0),join(converse(X_10),X_9))))]]) ).

cnf(refute_0_2446,plain,
    join(converse(X0),join(converse(X_10),X_9)) = join(converse(join(X0,X_10)),X_9),
    inference(resolve,[$cnf( $equal(join(converse(join(X0,X_10)),X_9),join(converse(X0),join(converse(X_10),X_9))) )],[refute_0_864,refute_0_2445]) ).

cnf(refute_0_2447,plain,
    join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) = join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125),
    inference(subst,[],[refute_0_2446:[bind(X0,$fot(one)),bind(X_10,$fot(composition(top,complement(composition(top,complement(one)))))),bind(X_9,$fot(X_125))]]) ).

cnf(refute_0_2448,plain,
    ( join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125) != join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) != join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125)
    | join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) = join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)))),bind(Y,$fot(join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125))),bind(Z,$fot(join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))))]]) ).

cnf(refute_0_2449,plain,
    ( join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125) != join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) = join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) ),
    inference(resolve,[$cnf( $equal(join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125)) )],[refute_0_2447,refute_0_2448]) ).

cnf(refute_0_2450,plain,
    join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) = join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),
    inference(resolve,[$cnf( $equal(join(converse(join(one,composition(top,complement(composition(top,complement(one)))))),X_125),join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) )],[refute_0_2444,refute_0_2449]) ).

cnf(refute_0_2451,plain,
    ( join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) != join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(one,X_125) != join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(one,X_125) = join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,X_125),join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) ),[1],$fot(join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)))]]) ).

cnf(refute_0_2452,plain,
    ( join(one,X_125) != join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(one,X_125) = join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) ),
    inference(resolve,[$cnf( $equal(join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) )],[refute_0_2450,refute_0_2451]) ).

cnf(refute_0_2453,plain,
    ( join(converse(one),X_125) != join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(one,X_125) = join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) ),
    inference(resolve,[$cnf( $equal(join(one,X_125),join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) )],[refute_0_2434,refute_0_2452]) ).

cnf(refute_0_2454,plain,
    join(one,X_125) = join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),
    inference(resolve,[$cnf( $equal(join(converse(one),X_125),join(converse(one),join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) )],[refute_0_2428,refute_0_2453]) ).

cnf(refute_0_2455,plain,
    ( composition(complement(one),top) != composition(top,complement(one))
    | converse(composition(top,complement(one))) != composition(complement(one),top)
    | converse(composition(top,complement(one))) = composition(top,complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) ),[1],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_2456,plain,
    ( converse(composition(top,complement(one))) != composition(complement(one),top)
    | converse(composition(top,complement(one))) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_1838,refute_0_2455]) ).

cnf(refute_0_2457,plain,
    converse(composition(top,complement(one))) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_1547,refute_0_2456]) ).

cnf(refute_0_2458,plain,
    complement(converse(composition(top,complement(one)))) = complement(converse(composition(top,complement(one)))),
    introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(one)))))]]) ).

cnf(refute_0_2459,plain,
    ( complement(converse(composition(top,complement(one)))) != complement(converse(composition(top,complement(one))))
    | converse(composition(top,complement(one))) != composition(top,complement(one))
    | complement(converse(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) ),[1,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_2460,plain,
    ( converse(composition(top,complement(one))) != composition(top,complement(one))
    | complement(converse(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) )],[refute_0_2458,refute_0_2459]) ).

cnf(refute_0_2461,plain,
    complement(converse(composition(top,complement(one)))) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_2457,refute_0_2460]) ).

cnf(refute_0_2462,plain,
    converse(complement(composition(top,complement(one)))) = complement(converse(composition(top,complement(one)))),
    inference(subst,[],[refute_0_2264:[bind(X_144,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_2463,plain,
    ( complement(converse(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(complement(composition(top,complement(one)))) != complement(converse(composition(top,complement(one))))
    | converse(complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(complement(composition(top,complement(one)))))),bind(Y,$fot(complement(converse(composition(top,complement(one)))))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_2464,plain,
    ( complement(converse(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) )],[refute_0_2462,refute_0_2463]) ).

cnf(refute_0_2465,plain,
    converse(complement(composition(top,complement(one)))) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_2461,refute_0_2464]) ).

cnf(refute_0_2466,plain,
    converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = composition(top,converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))))),
    inference(subst,[],[refute_0_1236:[bind(X_23,$fot(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))))]]) ).

cnf(refute_0_2467,plain,
    converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) = converse(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),composition(top,complement(one))))),
    inference(subst,[],[refute_0_2058:[bind(X0,$fot(complement(composition(top,complement(one))))),bind(X1,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_2468,plain,
    converse(composition(converse(X_114),complement(composition(X_114,top)))) = composition(converse(complement(composition(X_114,top))),converse(converse(X_114))),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(X_114))),bind(X1,$fot(complement(composition(X_114,top))))]]) ).

cnf(refute_0_2469,plain,
    join(complement(top),composition(converse(X0),complement(composition(X0,top)))) = complement(top),
    inference(subst,[],[refute_0_10:[bind(X1,$fot(top))]]) ).

cnf(refute_0_2470,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_2471,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_180,refute_0_2470]) ).

cnf(refute_0_2472,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_2469,refute_0_2471]) ).

cnf(refute_0_2473,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_2474,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_180,refute_0_2473]) ).

cnf(refute_0_2475,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_2472,refute_0_2474]) ).

cnf(refute_0_2476,plain,
    join(zero,composition(converse(X0),complement(composition(X0,top)))) = composition(converse(X0),complement(composition(X0,top))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(composition(converse(X0),complement(composition(X0,top)))))]]) ).

cnf(refute_0_2477,plain,
    ( join(zero,composition(converse(X0),complement(composition(X0,top)))) != composition(converse(X0),complement(composition(X0,top)))
    | join(zero,composition(converse(X0),complement(composition(X0,top)))) != zero
    | composition(converse(X0),complement(composition(X0,top))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),zero) ),[0],$fot(composition(converse(X0),complement(composition(X0,top))))]]) ).

cnf(refute_0_2478,plain,
    ( join(zero,composition(converse(X0),complement(composition(X0,top)))) != zero
    | composition(converse(X0),complement(composition(X0,top))) = zero ),
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),composition(converse(X0),complement(composition(X0,top)))) )],[refute_0_2476,refute_0_2477]) ).

cnf(refute_0_2479,plain,
    composition(converse(X0),complement(composition(X0,top))) = zero,
    inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),zero) )],[refute_0_2475,refute_0_2478]) ).

cnf(refute_0_2480,plain,
    composition(converse(X_114),complement(composition(X_114,top))) = zero,
    inference(subst,[],[refute_0_2479:[bind(X0,$fot(X_114))]]) ).

cnf(refute_0_2481,plain,
    ( composition(converse(X_114),complement(composition(X_114,top))) != zero
    | converse(composition(converse(X_114),complement(composition(X_114,top)))) != composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))
    | converse(zero) = composition(converse(complement(composition(X_114,top))),converse(converse(X_114))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_114),complement(composition(X_114,top)))),composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))) ),[0,0],$fot(zero)]]) ).

cnf(refute_0_2482,plain,
    ( converse(composition(converse(X_114),complement(composition(X_114,top)))) != composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))
    | converse(zero) = composition(converse(complement(composition(X_114,top))),converse(converse(X_114))) ),
    inference(resolve,[$cnf( $equal(composition(converse(X_114),complement(composition(X_114,top))),zero) )],[refute_0_2480,refute_0_2481]) ).

cnf(refute_0_2483,plain,
    converse(zero) = composition(converse(complement(composition(X_114,top))),converse(converse(X_114))),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_114),complement(composition(X_114,top)))),composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))) )],[refute_0_2468,refute_0_2482]) ).

cnf(refute_0_2484,plain,
    ( converse(zero) != composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))
    | converse(zero) != zero
    | zero = composition(converse(complement(composition(X_114,top))),converse(converse(X_114))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))) ),[0],$fot(zero)]]) ).

cnf(refute_0_2485,plain,
    ( converse(zero) != composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))
    | zero = composition(converse(complement(composition(X_114,top))),converse(converse(X_114))) ),
    inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1090,refute_0_2484]) ).

cnf(refute_0_2486,plain,
    converse(composition(converse(X_114),complement(composition(X_114,top)))) = composition(converse(complement(composition(X_114,top))),X_114),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(X_114)),bind(X_24,$fot(complement(composition(X_114,top))))]]) ).

cnf(refute_0_2487,plain,
    composition(converse(complement(composition(X_114,top))),converse(converse(X_114))) = converse(composition(converse(X_114),complement(composition(X_114,top)))),
    inference(subst,[],[refute_0_2022:[bind(X0,$fot(converse(X_114))),bind(X1,$fot(complement(composition(X_114,top))))]]) ).

cnf(refute_0_2488,plain,
    ( composition(converse(complement(composition(X_114,top))),converse(converse(X_114))) != converse(composition(converse(X_114),complement(composition(X_114,top))))
    | converse(composition(converse(X_114),complement(composition(X_114,top)))) != composition(converse(complement(composition(X_114,top))),X_114)
    | composition(converse(complement(composition(X_114,top))),converse(converse(X_114))) = composition(converse(complement(composition(X_114,top))),X_114) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(complement(composition(X_114,top))),converse(converse(X_114))))),bind(Y,$fot(converse(composition(converse(X_114),complement(composition(X_114,top)))))),bind(Z,$fot(composition(converse(complement(composition(X_114,top))),X_114)))]]) ).

cnf(refute_0_2489,plain,
    ( converse(composition(converse(X_114),complement(composition(X_114,top)))) != composition(converse(complement(composition(X_114,top))),X_114)
    | composition(converse(complement(composition(X_114,top))),converse(converse(X_114))) = composition(converse(complement(composition(X_114,top))),X_114) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_114,top))),converse(converse(X_114))),converse(composition(converse(X_114),complement(composition(X_114,top))))) )],[refute_0_2487,refute_0_2488]) ).

cnf(refute_0_2490,plain,
    composition(converse(complement(composition(X_114,top))),converse(converse(X_114))) = composition(converse(complement(composition(X_114,top))),X_114),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_114),complement(composition(X_114,top)))),composition(converse(complement(composition(X_114,top))),X_114)) )],[refute_0_2486,refute_0_2489]) ).

cnf(refute_0_2491,plain,
    ( composition(converse(complement(composition(X_114,top))),converse(converse(X_114))) != composition(converse(complement(composition(X_114,top))),X_114)
    | zero != composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))
    | zero = composition(converse(complement(composition(X_114,top))),X_114) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))) ),[1],$fot(composition(converse(complement(composition(X_114,top))),X_114))]]) ).

cnf(refute_0_2492,plain,
    ( zero != composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))
    | zero = composition(converse(complement(composition(X_114,top))),X_114) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_114,top))),converse(converse(X_114))),composition(converse(complement(composition(X_114,top))),X_114)) )],[refute_0_2490,refute_0_2491]) ).

cnf(refute_0_2493,plain,
    ( converse(zero) != composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))
    | zero = composition(converse(complement(composition(X_114,top))),X_114) ),
    inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))) )],[refute_0_2485,refute_0_2492]) ).

cnf(refute_0_2494,plain,
    zero = composition(converse(complement(composition(X_114,top))),X_114),
    inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_114,top))),converse(converse(X_114)))) )],[refute_0_2483,refute_0_2493]) ).

cnf(refute_0_2495,plain,
    zero = composition(converse(complement(composition(join(X_253,X_252),top))),join(X_253,X_252)),
    inference(subst,[],[refute_0_2494:[bind(X_114,$fot(join(X_253,X_252)))]]) ).

cnf(refute_0_2496,plain,
    composition(join(X_253,X_252),top) = composition(join(X_252,X_253),top),
    inference(subst,[],[refute_0_1364:[bind(X_67,$fot(X_252)),bind(X_68,$fot(X_253)),bind(X_69,$fot(top))]]) ).

cnf(refute_0_2497,plain,
    ( composition(join(X_253,X_252),top) != composition(join(X_252,X_253),top)
    | zero != composition(converse(complement(composition(join(X_253,X_252),top))),join(X_253,X_252))
    | zero = composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(join(X_253,X_252),top))),join(X_253,X_252))) ),[1,0,0,0],$fot(composition(join(X_252,X_253),top))]]) ).

cnf(refute_0_2498,plain,
    ( zero != composition(converse(complement(composition(join(X_253,X_252),top))),join(X_253,X_252))
    | zero = composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)) ),
    inference(resolve,[$cnf( $equal(composition(join(X_253,X_252),top),composition(join(X_252,X_253),top)) )],[refute_0_2496,refute_0_2497]) ).

cnf(refute_0_2499,plain,
    zero = composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)),
    inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(join(X_253,X_252),top))),join(X_253,X_252))) )],[refute_0_2495,refute_0_2498]) ).

cnf(refute_0_2500,plain,
    converse(complement(composition(join(X_252,X_253),top))) = complement(converse(composition(join(X_252,X_253),top))),
    inference(subst,[],[refute_0_2264:[bind(X_144,$fot(composition(join(X_252,X_253),top)))]]) ).

cnf(refute_0_2501,plain,
    composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)) = composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)),
    introduced(tautology,[refl,[$fot(composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)))]]) ).

cnf(refute_0_2502,plain,
    ( composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)) != composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252))
    | converse(complement(composition(join(X_252,X_253),top))) != complement(converse(composition(join(X_252,X_253),top)))
    | composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)) = composition(complement(converse(composition(join(X_252,X_253),top))),join(X_253,X_252)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)),composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252))) ),[1,0],$fot(complement(converse(composition(join(X_252,X_253),top))))]]) ).

cnf(refute_0_2503,plain,
    ( converse(complement(composition(join(X_252,X_253),top))) != complement(converse(composition(join(X_252,X_253),top)))
    | composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)) = composition(complement(converse(composition(join(X_252,X_253),top))),join(X_253,X_252)) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)),composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252))) )],[refute_0_2501,refute_0_2502]) ).

cnf(refute_0_2504,plain,
    composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)) = composition(complement(converse(composition(join(X_252,X_253),top))),join(X_253,X_252)),
    inference(resolve,[$cnf( $equal(converse(complement(composition(join(X_252,X_253),top))),complement(converse(composition(join(X_252,X_253),top)))) )],[refute_0_2500,refute_0_2503]) ).

cnf(refute_0_2505,plain,
    ( composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)) != composition(complement(converse(composition(join(X_252,X_253),top))),join(X_253,X_252))
    | zero != composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252))
    | zero = composition(complement(converse(composition(join(X_252,X_253),top))),join(X_253,X_252)) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252))) ),[1],$fot(composition(complement(converse(composition(join(X_252,X_253),top))),join(X_253,X_252)))]]) ).

cnf(refute_0_2506,plain,
    ( zero != composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252))
    | zero = composition(complement(converse(composition(join(X_252,X_253),top))),join(X_253,X_252)) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252)),composition(complement(converse(composition(join(X_252,X_253),top))),join(X_253,X_252))) )],[refute_0_2504,refute_0_2505]) ).

cnf(refute_0_2507,plain,
    zero = composition(complement(converse(composition(join(X_252,X_253),top))),join(X_253,X_252)),
    inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(join(X_252,X_253),top))),join(X_253,X_252))) )],[refute_0_2499,refute_0_2506]) ).

cnf(refute_0_2508,plain,
    zero = composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))),
    inference(subst,[],[refute_0_2507:[bind(X_252,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))),bind(X_253,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_2509,plain,
    join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))))) = complement(complement(composition(top,complement(one)))),
    inference(subst,[],[refute_0_1194:[bind(X1,$fot(complement(composition(top,complement(one))))),bind(X_62,$fot(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))),bind(X_63,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2510,plain,
    composition(join(X_253,X_252),complement(converse(composition(top,join(X_253,X_252))))) = zero,
    inference(subst,[],[refute_0_1221:[bind(X_77,$fot(join(X_253,X_252)))]]) ).

cnf(refute_0_2511,plain,
    composition(join(X_253,X_252),complement(converse(composition(top,join(X_253,X_252))))) = composition(join(X_252,X_253),complement(converse(composition(top,join(X_253,X_252))))),
    inference(subst,[],[refute_0_1364:[bind(X_67,$fot(X_252)),bind(X_68,$fot(X_253)),bind(X_69,$fot(complement(converse(composition(top,join(X_253,X_252))))))]]) ).

cnf(refute_0_2512,plain,
    ( composition(join(X_253,X_252),complement(converse(composition(top,join(X_253,X_252))))) != composition(join(X_252,X_253),complement(converse(composition(top,join(X_253,X_252)))))
    | composition(join(X_253,X_252),complement(converse(composition(top,join(X_253,X_252))))) != zero
    | composition(join(X_252,X_253),complement(converse(composition(top,join(X_253,X_252))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X_253,X_252),complement(converse(composition(top,join(X_253,X_252))))),zero) ),[0],$fot(composition(join(X_252,X_253),complement(converse(composition(top,join(X_253,X_252))))))]]) ).

cnf(refute_0_2513,plain,
    ( composition(join(X_253,X_252),complement(converse(composition(top,join(X_253,X_252))))) != zero
    | composition(join(X_252,X_253),complement(converse(composition(top,join(X_253,X_252))))) = zero ),
    inference(resolve,[$cnf( $equal(composition(join(X_253,X_252),complement(converse(composition(top,join(X_253,X_252))))),composition(join(X_252,X_253),complement(converse(composition(top,join(X_253,X_252)))))) )],[refute_0_2511,refute_0_2512]) ).

cnf(refute_0_2514,plain,
    composition(join(X_252,X_253),complement(converse(composition(top,join(X_253,X_252))))) = zero,
    inference(resolve,[$cnf( $equal(composition(join(X_253,X_252),complement(converse(composition(top,join(X_253,X_252))))),zero) )],[refute_0_2510,refute_0_2513]) ).

cnf(refute_0_2515,plain,
    composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))))) = zero,
    inference(subst,[],[refute_0_2514:[bind(X_252,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))),bind(X_253,$fot(complement(one)))]]) ).

cnf(refute_0_2516,plain,
    join(complement(one),composition(converse(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) = complement(one),
    inference(subst,[],[refute_0_1435:[bind(X_17,$fot(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),bind(X_18,$fot(one))]]) ).

cnf(refute_0_2517,plain,
    complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),
    inference(subst,[],[refute_0_482:[bind(X_100,$fot(one)),bind(X_99,$fot(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_2518,plain,
    one = join(meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),
    inference(subst,[],[refute_0_1408:[bind(X1,$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),bind(X_85,$fot(one))]]) ).

cnf(refute_0_2519,plain,
    meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = complement(complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))),
    inference(subst,[],[refute_0_340:[bind(X1,$fot(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_2520,plain,
    join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = top,
    inference(subst,[],[refute_0_1424:[bind(X_123,$fot(complement(one))),bind(X_124,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))]]) ).

cnf(refute_0_2521,plain,
    join(complement(one),composition(converse(join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) = complement(one),
    inference(subst,[],[refute_0_1435:[bind(X_17,$fot(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),bind(X_18,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2522,plain,
    join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) = join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(subst,[],[refute_0_890:[bind(X2,$fot(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_2523,plain,
    X_99 = join(meet(zero,X_99),meet(X_99,complement(zero))),
    inference(subst,[],[refute_0_475:[bind(X_85,$fot(X_99)),bind(X_86,$fot(zero))]]) ).

cnf(refute_0_2524,plain,
    ( X_99 != join(meet(zero,X_99),meet(X_99,complement(zero)))
    | complement(zero) != top
    | X_99 = join(meet(zero,X_99),meet(X_99,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_99,join(meet(zero,X_99),meet(X_99,complement(zero)))) ),[1,1,1],$fot(top)]]) ).

cnf(refute_0_2525,plain,
    ( X_99 != join(meet(zero,X_99),meet(X_99,complement(zero)))
    | X_99 = join(meet(zero,X_99),meet(X_99,top)) ),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1330,refute_0_2524]) ).

cnf(refute_0_2526,plain,
    X_99 = join(meet(zero,X_99),meet(X_99,top)),
    inference(resolve,[$cnf( $equal(X_99,join(meet(zero,X_99),meet(X_99,complement(zero)))) )],[refute_0_2523,refute_0_2525]) ).

cnf(refute_0_2527,plain,
    join(meet(zero,X_99),X_99) = join(X_99,meet(zero,X_99)),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(X_99)),bind(X1,$fot(meet(zero,X_99)))]]) ).

cnf(refute_0_2528,plain,
    meet(X_99,top) = X_99,
    inference(subst,[],[refute_0_1084:[bind(X_85,$fot(X_99))]]) ).

cnf(refute_0_2529,plain,
    join(meet(zero,X_99),meet(X_99,top)) = join(meet(zero,X_99),meet(X_99,top)),
    introduced(tautology,[refl,[$fot(join(meet(zero,X_99),meet(X_99,top)))]]) ).

cnf(refute_0_2530,plain,
    ( join(meet(zero,X_99),meet(X_99,top)) != join(meet(zero,X_99),meet(X_99,top))
    | meet(X_99,top) != X_99
    | join(meet(zero,X_99),meet(X_99,top)) = join(meet(zero,X_99),X_99) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_99),meet(X_99,top)),join(meet(zero,X_99),meet(X_99,top))) ),[1,1],$fot(X_99)]]) ).

cnf(refute_0_2531,plain,
    ( meet(X_99,top) != X_99
    | join(meet(zero,X_99),meet(X_99,top)) = join(meet(zero,X_99),X_99) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,X_99),meet(X_99,top)),join(meet(zero,X_99),meet(X_99,top))) )],[refute_0_2529,refute_0_2530]) ).

cnf(refute_0_2532,plain,
    join(meet(zero,X_99),meet(X_99,top)) = join(meet(zero,X_99),X_99),
    inference(resolve,[$cnf( $equal(meet(X_99,top),X_99) )],[refute_0_2528,refute_0_2531]) ).

cnf(refute_0_2533,plain,
    ( join(meet(zero,X_99),X_99) != join(X_99,meet(zero,X_99))
    | join(meet(zero,X_99),meet(X_99,top)) != join(meet(zero,X_99),X_99)
    | join(meet(zero,X_99),meet(X_99,top)) = join(X_99,meet(zero,X_99)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(zero,X_99),meet(X_99,top)))),bind(Y,$fot(join(meet(zero,X_99),X_99))),bind(Z,$fot(join(X_99,meet(zero,X_99))))]]) ).

cnf(refute_0_2534,plain,
    ( join(meet(zero,X_99),X_99) != join(X_99,meet(zero,X_99))
    | join(meet(zero,X_99),meet(X_99,top)) = join(X_99,meet(zero,X_99)) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,X_99),meet(X_99,top)),join(meet(zero,X_99),X_99)) )],[refute_0_2532,refute_0_2533]) ).

cnf(refute_0_2535,plain,
    join(meet(zero,X_99),meet(X_99,top)) = join(X_99,meet(zero,X_99)),
    inference(resolve,[$cnf( $equal(join(meet(zero,X_99),X_99),join(X_99,meet(zero,X_99))) )],[refute_0_2527,refute_0_2534]) ).

cnf(refute_0_2536,plain,
    ( X_99 != join(meet(zero,X_99),meet(X_99,top))
    | join(meet(zero,X_99),meet(X_99,top)) != join(X_99,meet(zero,X_99))
    | X_99 = join(X_99,meet(zero,X_99)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_99,join(X_99,meet(zero,X_99))) ),[0],$fot(join(meet(zero,X_99),meet(X_99,top)))]]) ).

cnf(refute_0_2537,plain,
    ( X_99 != join(meet(zero,X_99),meet(X_99,top))
    | X_99 = join(X_99,meet(zero,X_99)) ),
    inference(resolve,[$cnf( $equal(join(meet(zero,X_99),meet(X_99,top)),join(X_99,meet(zero,X_99))) )],[refute_0_2535,refute_0_2536]) ).

cnf(refute_0_2538,plain,
    X_99 = join(X_99,meet(zero,X_99)),
    inference(resolve,[$cnf( $equal(X_99,join(meet(zero,X_99),meet(X_99,top))) )],[refute_0_2526,refute_0_2537]) ).

cnf(refute_0_2539,plain,
    composition(skolemFOFtoCNF_X0,complement(one)) = join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(subst,[],[refute_0_2538:[bind(X_99,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).

cnf(refute_0_2540,plain,
    ( composition(skolemFOFtoCNF_X0,complement(one)) != join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))
    | join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_2541,plain,
    join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) = composition(skolemFOFtoCNF_X0,complement(one)),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(one)),join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2539,refute_0_2540]) ).

cnf(refute_0_2542,plain,
    ( join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) != join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))
    | join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) != composition(skolemFOFtoCNF_X0,complement(one))
    | join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) = join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) ),[0,1],$fot(composition(skolemFOFtoCNF_X0,complement(one)))]]) ).

cnf(refute_0_2543,plain,
    ( join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) != join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))
    | join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) = join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_2541,refute_0_2542]) ).

cnf(refute_0_2544,plain,
    join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) = join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2522,refute_0_2543]) ).

cnf(refute_0_2545,plain,
    ( join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) != complement(skolemFOFtoCNF_X0)
    | join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) != join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))
    | complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(complement(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2546,plain,
    ( join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) != join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))
    | complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)) )],[refute_0_887,refute_0_2545]) ).

cnf(refute_0_2547,plain,
    complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2544,refute_0_2546]) ).

cnf(refute_0_2548,plain,
    ( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))
    | join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) = complement(skolemFOFtoCNF_X0) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_2549,plain,
    join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) = complement(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2547,refute_0_2548]) ).

cnf(refute_0_2550,plain,
    ( join(complement(one),composition(converse(join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) != complement(one)
    | join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) != complement(skolemFOFtoCNF_X0)
    | join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))),complement(one)) ),[0,1,0,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2551,plain,
    ( join(complement(one),composition(converse(join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) != complement(one)
    | join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2549,refute_0_2550]) ).

cnf(refute_0_2552,plain,
    join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(complement(skolemFOFtoCNF_X0),meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))),complement(one)) )],[refute_0_2521,refute_0_2551]) ).

cnf(refute_0_2553,plain,
    meet(complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(subst,[],[refute_0_839:[bind(X_19,$fot(skolemFOFtoCNF_X0)),bind(X_20,$fot(complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_2554,plain,
    complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))) = meet(complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),skolemFOFtoCNF_X0),
    inference(subst,[],[refute_0_982:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_32,$fot(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).

cnf(refute_0_2555,plain,
    ( complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))) != meet(complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),skolemFOFtoCNF_X0)
    | meet(complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))
    | complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),skolemFOFtoCNF_X0))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_2556,plain,
    ( meet(complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))
    | complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))),meet(complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),skolemFOFtoCNF_X0)) )],[refute_0_2554,refute_0_2555]) ).

cnf(refute_0_2557,plain,
    complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),
    inference(resolve,[$cnf( $equal(meet(complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_2553,refute_0_2556]) ).

cnf(refute_0_2558,plain,
    composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))) = composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))),
    introduced(tautology,[refl,[$fot(composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_2559,plain,
    ( complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))
    | composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))) != composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))
    | composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))) = composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_2560,plain,
    ( complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))
    | composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))) = composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) )],[refute_0_2558,refute_0_2559]) ).

cnf(refute_0_2561,plain,
    composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))) = composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),
    inference(resolve,[$cnf( $equal(complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_2557,refute_0_2560]) ).

cnf(refute_0_2562,plain,
    join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) = join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))),
    introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2563,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))) != composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) != join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))))
    | join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) = join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))),join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_2564,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))) != composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))
    | join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) = join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))),join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2562,refute_0_2563]) ).

cnf(refute_0_2565,plain,
    join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) = join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))),
    inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)))),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_2561,refute_0_2564]) ).

cnf(refute_0_2566,plain,
    ( join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) != complement(one)
    | join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) != join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))
    | join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))),complement(one)) ),[0],$fot(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))]]) ).

cnf(refute_0_2567,plain,
    ( join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))) != complement(one)
    | join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))),join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_2565,refute_0_2566]) ).

cnf(refute_0_2568,plain,
    join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),complement(join(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0))))),complement(one)) )],[refute_0_2552,refute_0_2567]) ).

cnf(refute_0_2569,plain,
    ( join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) != top
    | join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) != complement(one)
    | join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),top) ),[0,1,0],$fot(complement(one))]]) ).

cnf(refute_0_2570,plain,
    ( join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) != top
    | join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))),complement(one)) )],[refute_0_2568,refute_0_2569]) ).

cnf(refute_0_2571,plain,
    join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) = top,
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(join(complement(one),composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),top) )],[refute_0_2520,refute_0_2570]) ).

cnf(refute_0_2572,plain,
    join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) = complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))),
    inference(subst,[],[refute_0_996:[bind(X0,$fot(one)),bind(X1,$fot(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2573,plain,
    converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) = composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X_24,$fot(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_2574,plain,
    complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))) = complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),
    introduced(tautology,[refl,[$fot(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))]]) ).

cnf(refute_0_2575,plain,
    ( complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))) != complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))
    | converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) != composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))
    | complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))) = complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) ),[1,0],$fot(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2576,plain,
    ( converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) != composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))
    | complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))) = complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_2574,refute_0_2575]) ).

cnf(refute_0_2577,plain,
    complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))) = complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))),composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_2573,refute_0_2576]) ).

cnf(refute_0_2578,plain,
    join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),
    introduced(tautology,[refl,[$fot(join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))))]]) ).

cnf(refute_0_2579,plain,
    ( complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))) != complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))
    | join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) != join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))
    | join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))) ),[1,1],$fot(complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2580,plain,
    ( complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))) != complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))
    | join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))) )],[refute_0_2578,refute_0_2579]) ).

cnf(refute_0_2581,plain,
    join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2577,refute_0_2580]) ).

cnf(refute_0_2582,plain,
    join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),
    introduced(tautology,[refl,[$fot(join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))))]]) ).

cnf(refute_0_2583,plain,
    ( converse(complement(one)) != complement(one)
    | join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) != join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))
    | join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))) ),[1,0],$fot(complement(one))]]) ).

cnf(refute_0_2584,plain,
    ( converse(complement(one)) != complement(one)
    | join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))) )],[refute_0_2582,refute_0_2583]) ).

cnf(refute_0_2585,plain,
    join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),
    inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1519,refute_0_2584]) ).

cnf(refute_0_2586,plain,
    ( join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) != join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))
    | join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) != join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))
    | join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))))),bind(Y,$fot(join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))))),bind(Z,$fot(join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2587,plain,
    ( join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) != join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))
    | join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))) )],[refute_0_2585,refute_0_2586]) ).

cnf(refute_0_2588,plain,
    join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))),
    inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))) )],[refute_0_2581,refute_0_2587]) ).

cnf(refute_0_2589,plain,
    ( join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) != complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))
    | join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) != join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))
    | join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))))),bind(Y,$fot(join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2590,plain,
    ( join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) != complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))
    | join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) ),
    inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))) )],[refute_0_2588,refute_0_2589]) ).

cnf(refute_0_2591,plain,
    join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) = complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))),
    inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))),complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))) )],[refute_0_2572,refute_0_2590]) ).

cnf(refute_0_2592,plain,
    join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) = join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(converse(complement(one)))),bind(X1,$fot(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))))]]) ).

cnf(refute_0_2593,plain,
    ( join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) != join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))
    | join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) != complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))
    | join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) = complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))))),bind(Y,$fot(join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))))),bind(Z,$fot(complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2594,plain,
    ( join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))) != complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))
    | join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) = complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))),join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))))) )],[refute_0_2592,refute_0_2593]) ).

cnf(refute_0_2595,plain,
    join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) = complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))),
    inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))))),complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))) )],[refute_0_2591,refute_0_2594]) ).

cnf(refute_0_2596,plain,
    ( join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) != complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))
    | join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) != top
    | complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))),top) ),[0],$fot(complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_2597,plain,
    ( join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))) != top
    | complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))),complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))) )],[refute_0_2595,refute_0_2596]) ).

cnf(refute_0_2598,plain,
    complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) = top,
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(converse(complement(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))),converse(complement(one))),top) )],[refute_0_2571,refute_0_2597]) ).

cnf(refute_0_2599,plain,
    ( complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) != top
    | meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) != complement(complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))))
    | meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = complement(top) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),complement(complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2600,plain,
    ( meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) != complement(complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))))
    | meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = complement(top) ),
    inference(resolve,[$cnf( $equal(complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_2598,refute_0_2599]) ).

cnf(refute_0_2601,plain,
    meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = complement(top),
    inference(resolve,[$cnf( $equal(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),complement(complement(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2519,refute_0_2600]) ).

cnf(refute_0_2602,plain,
    ( complement(top) != zero
    | meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) != complement(top)
    | meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),complement(top)) ),[1],$fot(zero)]]) ).

cnf(refute_0_2603,plain,
    ( meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) != complement(top)
    | meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = zero ),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_2602]) ).

cnf(refute_0_2604,plain,
    meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = zero,
    inference(resolve,[$cnf( $equal(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_2601,refute_0_2603]) ).

cnf(refute_0_2605,plain,
    meet(skolemFOFtoCNF_X0,top) = skolemFOFtoCNF_X0,
    inference(subst,[],[refute_0_1084:[bind(X_85,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2606,plain,
    ( top != complement(meet(zero,X_20))
    | complement(meet(zero,X_20)) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(zero,X_20))))]]) ).

cnf(refute_0_2607,plain,
    complement(meet(zero,X_20)) = top,
    inference(resolve,[$cnf( $equal(top,complement(meet(zero,X_20))) )],[refute_0_1757,refute_0_2606]) ).

cnf(refute_0_2608,plain,
    complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) = top,
    inference(subst,[],[refute_0_2607:[bind(X_20,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).

cnf(refute_0_2609,plain,
    meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),
    introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).

cnf(refute_0_2610,plain,
    ( complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) != top
    | meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) != meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))
    | meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(skolemFOFtoCNF_X0,top) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2611,plain,
    ( complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))) != top
    | meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(skolemFOFtoCNF_X0,top) ),
    inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_2609,refute_0_2610]) ).

cnf(refute_0_2612,plain,
    meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(skolemFOFtoCNF_X0,top),
    inference(resolve,[$cnf( $equal(complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))),top) )],[refute_0_2608,refute_0_2611]) ).

cnf(refute_0_2613,plain,
    ( meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) != meet(skolemFOFtoCNF_X0,top)
    | meet(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
    | meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) = skolemFOFtoCNF_X0 ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,top))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2614,plain,
    ( meet(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
    | meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) = skolemFOFtoCNF_X0 ),
    inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),meet(skolemFOFtoCNF_X0,top)) )],[refute_0_2612,refute_0_2613]) ).

cnf(refute_0_2615,plain,
    meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) = skolemFOFtoCNF_X0,
    inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_2605,refute_0_2614]) ).

cnf(refute_0_2616,plain,
    converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) = converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),
    introduced(tautology,[refl,[$fot(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).

cnf(refute_0_2617,plain,
    ( converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) != converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))
    | meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) != skolemFOFtoCNF_X0
    | converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) = converse(skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).

cnf(refute_0_2618,plain,
    ( meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))) != skolemFOFtoCNF_X0
    | converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) = converse(skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_2616,refute_0_2617]) ).

cnf(refute_0_2619,plain,
    converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) = converse(skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one))))),skolemFOFtoCNF_X0) )],[refute_0_2615,refute_0_2618]) ).

cnf(refute_0_2620,plain,
    composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)) = composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)),
    introduced(tautology,[refl,[$fot(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2621,plain,
    ( composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)) != composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))
    | converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) != converse(skolemFOFtoCNF_X0)
    | composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)),composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2622,plain,
    ( converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))) != converse(skolemFOFtoCNF_X0)
    | composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)),composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_2620,refute_0_2621]) ).

cnf(refute_0_2623,plain,
    composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),converse(skolemFOFtoCNF_X0)) )],[refute_0_2619,refute_0_2622]) ).

cnf(refute_0_2624,plain,
    meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),
    introduced(tautology,[refl,[$fot(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2625,plain,
    ( composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
    | meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) != meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))
    | meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2626,plain,
    ( composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
    | meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2624,refute_0_2625]) ).

cnf(refute_0_2627,plain,
    meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) = meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) )],[refute_0_2623,refute_0_2626]) ).

cnf(refute_0_2628,plain,
    ( meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) != meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) != zero
    | meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),zero) ),[0],$fot(meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2629,plain,
    ( meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))) != zero
    | meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
    inference(resolve,[$cnf( $equal(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2627,refute_0_2628]) ).

cnf(refute_0_2630,plain,
    meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero,
    inference(resolve,[$cnf( $equal(meet(one,composition(converse(meet(skolemFOFtoCNF_X0,complement(meet(zero,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(skolemFOFtoCNF_X0))),zero) )],[refute_0_2604,refute_0_2629]) ).

cnf(refute_0_2631,plain,
    ( meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != zero
    | one != join(meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | one = join(zero,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2632,plain,
    ( one != join(meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | one = join(zero,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) ),
    inference(resolve,[$cnf( $equal(meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),zero) )],[refute_0_2630,refute_0_2631]) ).

cnf(refute_0_2633,plain,
    one = join(zero,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),
    inference(resolve,[$cnf( $equal(one,join(meet(one,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2518,refute_0_2632]) ).

cnf(refute_0_2634,plain,
    join(zero,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) = meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2635,plain,
    ( join(zero,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))
    | one != join(zero,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | one = meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(one,join(zero,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_2636,plain,
    ( one != join(zero,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | one = meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) ),
    inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) )],[refute_0_2634,refute_0_2635]) ).

cnf(refute_0_2637,plain,
    one = meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),
    inference(resolve,[$cnf( $equal(one,join(zero,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2633,refute_0_2636]) ).

cnf(refute_0_2638,plain,
    ( one != meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))
    | meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) = one ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2639,plain,
    meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) = one,
    inference(resolve,[$cnf( $equal(one,meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) )],[refute_0_2637,refute_0_2638]) ).

cnf(refute_0_2640,plain,
    ( complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) != one
    | complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_2641,plain,
    ( complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) ),
    inference(resolve,[$cnf( $equal(meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one) )],[refute_0_2639,refute_0_2640]) ).

cnf(refute_0_2642,plain,
    complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),
    inference(resolve,[$cnf( $equal(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(meet(one,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2517,refute_0_2641]) ).

cnf(refute_0_2643,plain,
    ( complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) = complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))))]]) ).

cnf(refute_0_2644,plain,
    join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) = complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2642,refute_0_2643]) ).

cnf(refute_0_2645,plain,
    ( join(complement(one),composition(converse(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) != complement(one)
    | join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))),complement(one)) ),[0,1,0,0],$fot(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2646,plain,
    ( join(complement(one),composition(converse(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) != complement(one)
    | join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2644,refute_0_2645]) ).

cnf(refute_0_2647,plain,
    join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))),complement(one)) )],[refute_0_2516,refute_0_2646]) ).

cnf(refute_0_2648,plain,
    converse(composition(converse(composition(converse(X_26),X_27)),X_24)) = composition(converse(X_24),composition(converse(X_26),X_27)),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(composition(converse(X_26),X_27)))]]) ).

cnf(refute_0_2649,plain,
    converse(composition(converse(X_26),X_27)) = composition(converse(X_27),X_26),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(X_26)),bind(X_24,$fot(X_27))]]) ).

cnf(refute_0_2650,plain,
    ( converse(composition(converse(X_26),X_27)) != composition(converse(X_27),X_26)
    | converse(composition(converse(composition(converse(X_26),X_27)),X_24)) != composition(converse(X_24),composition(converse(X_26),X_27))
    | converse(composition(composition(converse(X_27),X_26),X_24)) = composition(converse(X_24),composition(converse(X_26),X_27)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(converse(X_26),X_27)),X_24)),composition(converse(X_24),composition(converse(X_26),X_27))) ),[0,0,0],$fot(composition(converse(X_27),X_26))]]) ).

cnf(refute_0_2651,plain,
    ( converse(composition(converse(composition(converse(X_26),X_27)),X_24)) != composition(converse(X_24),composition(converse(X_26),X_27))
    | converse(composition(composition(converse(X_27),X_26),X_24)) = composition(converse(X_24),composition(converse(X_26),X_27)) ),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_26),X_27)),composition(converse(X_27),X_26)) )],[refute_0_2649,refute_0_2650]) ).

cnf(refute_0_2652,plain,
    converse(composition(composition(converse(X_27),X_26),X_24)) = composition(converse(X_24),composition(converse(X_26),X_27)),
    inference(resolve,[$cnf( $equal(converse(composition(converse(composition(converse(X_26),X_27)),X_24)),composition(converse(X_24),composition(converse(X_26),X_27))) )],[refute_0_2648,refute_0_2651]) ).

cnf(refute_0_2653,plain,
    converse(composition(converse(X_27),composition(X_26,X_24))) = composition(converse(composition(X_26,X_24)),X_27),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(X_27)),bind(X_24,$fot(composition(X_26,X_24)))]]) ).

cnf(refute_0_2654,plain,
    composition(composition(converse(X_27),X_26),X_24) = composition(converse(X_27),composition(X_26,X_24)),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(converse(X_27))),bind(X1,$fot(X_26)),bind(X2,$fot(X_24))]]) ).

cnf(refute_0_2655,plain,
    converse(composition(composition(converse(X_27),X_26),X_24)) = converse(composition(composition(converse(X_27),X_26),X_24)),
    introduced(tautology,[refl,[$fot(converse(composition(composition(converse(X_27),X_26),X_24)))]]) ).

cnf(refute_0_2656,plain,
    ( composition(composition(converse(X_27),X_26),X_24) != composition(converse(X_27),composition(X_26,X_24))
    | converse(composition(composition(converse(X_27),X_26),X_24)) != converse(composition(composition(converse(X_27),X_26),X_24))
    | converse(composition(composition(converse(X_27),X_26),X_24)) = converse(composition(converse(X_27),composition(X_26,X_24))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_27),X_26),X_24)),converse(composition(composition(converse(X_27),X_26),X_24))) ),[1,0],$fot(composition(converse(X_27),composition(X_26,X_24)))]]) ).

cnf(refute_0_2657,plain,
    ( composition(composition(converse(X_27),X_26),X_24) != composition(converse(X_27),composition(X_26,X_24))
    | converse(composition(composition(converse(X_27),X_26),X_24)) = converse(composition(converse(X_27),composition(X_26,X_24))) ),
    inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_27),X_26),X_24)),converse(composition(composition(converse(X_27),X_26),X_24))) )],[refute_0_2655,refute_0_2656]) ).

cnf(refute_0_2658,plain,
    converse(composition(composition(converse(X_27),X_26),X_24)) = converse(composition(converse(X_27),composition(X_26,X_24))),
    inference(resolve,[$cnf( $equal(composition(composition(converse(X_27),X_26),X_24),composition(converse(X_27),composition(X_26,X_24))) )],[refute_0_2654,refute_0_2657]) ).

cnf(refute_0_2659,plain,
    ( converse(composition(composition(converse(X_27),X_26),X_24)) != converse(composition(converse(X_27),composition(X_26,X_24)))
    | converse(composition(converse(X_27),composition(X_26,X_24))) != composition(converse(composition(X_26,X_24)),X_27)
    | converse(composition(composition(converse(X_27),X_26),X_24)) = composition(converse(composition(X_26,X_24)),X_27) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(composition(composition(converse(X_27),X_26),X_24)))),bind(Y,$fot(converse(composition(converse(X_27),composition(X_26,X_24))))),bind(Z,$fot(composition(converse(composition(X_26,X_24)),X_27)))]]) ).

cnf(refute_0_2660,plain,
    ( converse(composition(converse(X_27),composition(X_26,X_24))) != composition(converse(composition(X_26,X_24)),X_27)
    | converse(composition(composition(converse(X_27),X_26),X_24)) = composition(converse(composition(X_26,X_24)),X_27) ),
    inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_27),X_26),X_24)),converse(composition(converse(X_27),composition(X_26,X_24)))) )],[refute_0_2658,refute_0_2659]) ).

cnf(refute_0_2661,plain,
    converse(composition(composition(converse(X_27),X_26),X_24)) = composition(converse(composition(X_26,X_24)),X_27),
    inference(resolve,[$cnf( $equal(converse(composition(converse(X_27),composition(X_26,X_24))),composition(converse(composition(X_26,X_24)),X_27)) )],[refute_0_2653,refute_0_2660]) ).

cnf(refute_0_2662,plain,
    ( converse(composition(composition(converse(X_27),X_26),X_24)) != composition(converse(X_24),composition(converse(X_26),X_27))
    | converse(composition(composition(converse(X_27),X_26),X_24)) != composition(converse(composition(X_26,X_24)),X_27)
    | composition(converse(composition(X_26,X_24)),X_27) = composition(converse(X_24),composition(converse(X_26),X_27)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_27),X_26),X_24)),composition(converse(X_24),composition(converse(X_26),X_27))) ),[0],$fot(composition(converse(composition(X_26,X_24)),X_27))]]) ).

cnf(refute_0_2663,plain,
    ( converse(composition(composition(converse(X_27),X_26),X_24)) != composition(converse(X_24),composition(converse(X_26),X_27))
    | composition(converse(composition(X_26,X_24)),X_27) = composition(converse(X_24),composition(converse(X_26),X_27)) ),
    inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_27),X_26),X_24)),composition(converse(composition(X_26,X_24)),X_27)) )],[refute_0_2661,refute_0_2662]) ).

cnf(refute_0_2664,plain,
    composition(converse(composition(X_26,X_24)),X_27) = composition(converse(X_24),composition(converse(X_26),X_27)),
    inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_27),X_26),X_24)),composition(converse(X_24),composition(converse(X_26),X_27))) )],[refute_0_2652,refute_0_2663]) ).

cnf(refute_0_2665,plain,
    ( composition(converse(composition(X_26,X_24)),X_27) != composition(converse(X_24),composition(converse(X_26),X_27))
    | composition(converse(X_24),composition(converse(X_26),X_27)) = composition(converse(composition(X_26,X_24)),X_27) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(composition(converse(composition(X_26,X_24)),X_27))),bind(Y,$fot(composition(converse(X_24),composition(converse(X_26),X_27))))]]) ).

cnf(refute_0_2666,plain,
    composition(converse(X_24),composition(converse(X_26),X_27)) = composition(converse(composition(X_26,X_24)),X_27),
    inference(resolve,[$cnf( $equal(composition(converse(composition(X_26,X_24)),X_27),composition(converse(X_24),composition(converse(X_26),X_27))) )],[refute_0_2664,refute_0_2665]) ).

cnf(refute_0_2667,plain,
    composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),
    inference(subst,[],[refute_0_2666:[bind(X_24,$fot(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(X_26,$fot(skolemFOFtoCNF_X0)),bind(X_27,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2668,plain,
    complement(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) = composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),
    inference(subst,[],[refute_0_1002:[bind(X1,$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2669,plain,
    join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one) = join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),
    inference(subst,[],[refute_0_63:[bind(X_41,$fot(one)),bind(X_42,$fot(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2670,plain,
    ( join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one) != join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one) = complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))),bind(Y,$fot(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))]]) ).

cnf(refute_0_2671,plain,
    ( join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one) = complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one),join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2669,refute_0_2670]) ).

cnf(refute_0_2672,plain,
    join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one) = complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2644,refute_0_2671]) ).

cnf(refute_0_2673,plain,
    complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) = complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)),
    introduced(tautology,[refl,[$fot(complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))]]) ).

cnf(refute_0_2674,plain,
    ( complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) != complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))
    | join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one) != complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) = complement(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) ),[1,0],$fot(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2675,plain,
    ( join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one) != complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) = complement(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) )],[refute_0_2673,refute_0_2674]) ).

cnf(refute_0_2676,plain,
    complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) = complement(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),
    inference(resolve,[$cnf( $equal(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2672,refute_0_2675]) ).

cnf(refute_0_2677,plain,
    ( complement(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) != composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
    | complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) != complement(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))
    | complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) = composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))),bind(Y,$fot(complement(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2678,plain,
    ( complement(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) != composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
    | complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) = composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)),complement(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) )],[refute_0_2676,refute_0_2677]) ).

cnf(refute_0_2679,plain,
    complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) = composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(complement(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) )],[refute_0_2668,refute_0_2678]) ).

cnf(refute_0_2680,plain,
    composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) = composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))),
    introduced(tautology,[refl,[$fot(composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))))]]) ).

cnf(refute_0_2681,plain,
    ( complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) != composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
    | composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) != composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))
    | composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) = composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) ),[1,1],$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2682,plain,
    ( complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)) != composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
    | composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) = composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) )],[refute_0_2680,refute_0_2681]) ).

cnf(refute_0_2683,plain,
    composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) = composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) )],[refute_0_2679,refute_0_2682]) ).

cnf(refute_0_2684,plain,
    ( composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) != composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
    | composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))))),bind(Y,$fot(composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2685,plain,
    ( composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
    | composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2683,refute_0_2684]) ).

cnf(refute_0_2686,plain,
    composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_2667,refute_0_2685]) ).

cnf(refute_0_2687,plain,
    join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) = join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))),
    introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))))]]) ).

cnf(refute_0_2688,plain,
    ( composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
    | join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) != join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))))
    | join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) = join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))),join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))))) ),[1,1],$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2689,plain,
    ( composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
    | join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) = join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))),join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))))) )],[refute_0_2687,refute_0_2688]) ).

cnf(refute_0_2690,plain,
    join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) = join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_2686,refute_0_2689]) ).

cnf(refute_0_2691,plain,
    ( join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) != complement(one)
    | join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) != join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = complement(one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))),complement(one)) ),[0],$fot(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2692,plain,
    ( join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))) != complement(one)
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = complement(one) ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))),join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2690,refute_0_2691]) ).

cnf(refute_0_2693,plain,
    join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = complement(one),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),complement(join(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),one)))),complement(one)) )],[refute_0_2647,refute_0_2692]) ).

cnf(refute_0_2694,plain,
    ( composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))))) != zero
    | join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != complement(one)
    | composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))))),zero) ),[0,1,0,0,1],$fot(complement(one))]]) ).

cnf(refute_0_2695,plain,
    ( composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))))) != zero
    | composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) = zero ),
    inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_2693,refute_0_2694]) ).

cnf(refute_0_2696,plain,
    composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) = zero,
    inference(resolve,[$cnf( $equal(composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))))),zero) )],[refute_0_2515,refute_0_2695]) ).

cnf(refute_0_2697,plain,
    composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))) = composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))),
    introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))]]) ).

cnf(refute_0_2698,plain,
    ( complement(converse(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))) != composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))
    | composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) ),[1,1],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_2699,plain,
    ( complement(converse(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) )],[refute_0_2697,refute_0_2698]) ).

cnf(refute_0_2700,plain,
    composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_2461,refute_0_2699]) ).

cnf(refute_0_2701,plain,
    composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))),
    introduced(tautology,[refl,[$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))))]]) ).

cnf(refute_0_2702,plain,
    ( composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))) != composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))
    | composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))
    | composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_2703,plain,
    ( composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))) != composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))
    | composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))) ),
    inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))) )],[refute_0_2701,refute_0_2702]) ).

cnf(refute_0_2704,plain,
    composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))),
    inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))) )],[refute_0_2700,refute_0_2703]) ).

cnf(refute_0_2705,plain,
    composition(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(one))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))),bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X2,$fot(complement(converse(composition(top,complement(one))))))]]) ).

cnf(refute_0_2706,plain,
    composition(join(X0,X1),complement(converse(composition(top,X0)))) = join(composition(X0,complement(converse(composition(top,X0)))),composition(X1,complement(converse(composition(top,X0))))),
    inference(subst,[],[refute_0_76:[bind(X2,$fot(complement(converse(composition(top,X0)))))]]) ).

cnf(refute_0_2707,plain,
    ( composition(X0,complement(converse(composition(top,X0)))) != zero
    | composition(join(X0,X1),complement(converse(composition(top,X0)))) != join(composition(X0,complement(converse(composition(top,X0)))),composition(X1,complement(converse(composition(top,X0)))))
    | composition(join(X0,X1),complement(converse(composition(top,X0)))) = join(zero,composition(X1,complement(converse(composition(top,X0))))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,X1),complement(converse(composition(top,X0)))),join(composition(X0,complement(converse(composition(top,X0)))),composition(X1,complement(converse(composition(top,X0)))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_2708,plain,
    ( composition(join(X0,X1),complement(converse(composition(top,X0)))) != join(composition(X0,complement(converse(composition(top,X0)))),composition(X1,complement(converse(composition(top,X0)))))
    | composition(join(X0,X1),complement(converse(composition(top,X0)))) = join(zero,composition(X1,complement(converse(composition(top,X0))))) ),
    inference(resolve,[$cnf( $equal(composition(X0,complement(converse(composition(top,X0)))),zero) )],[refute_0_1222,refute_0_2707]) ).

cnf(refute_0_2709,plain,
    composition(join(X0,X1),complement(converse(composition(top,X0)))) = join(zero,composition(X1,complement(converse(composition(top,X0))))),
    inference(resolve,[$cnf( $equal(composition(join(X0,X1),complement(converse(composition(top,X0)))),join(composition(X0,complement(converse(composition(top,X0)))),composition(X1,complement(converse(composition(top,X0)))))) )],[refute_0_2706,refute_0_2708]) ).

cnf(refute_0_2710,plain,
    join(zero,composition(X1,complement(converse(composition(top,X0))))) = composition(X1,complement(converse(composition(top,X0)))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(composition(X1,complement(converse(composition(top,X0))))))]]) ).

cnf(refute_0_2711,plain,
    ( composition(join(X0,X1),complement(converse(composition(top,X0)))) != join(zero,composition(X1,complement(converse(composition(top,X0)))))
    | join(zero,composition(X1,complement(converse(composition(top,X0))))) != composition(X1,complement(converse(composition(top,X0))))
    | composition(join(X0,X1),complement(converse(composition(top,X0)))) = composition(X1,complement(converse(composition(top,X0)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,X1),complement(converse(composition(top,X0)))),composition(X1,complement(converse(composition(top,X0))))) ),[0],$fot(join(zero,composition(X1,complement(converse(composition(top,X0))))))]]) ).

cnf(refute_0_2712,plain,
    ( composition(join(X0,X1),complement(converse(composition(top,X0)))) != join(zero,composition(X1,complement(converse(composition(top,X0)))))
    | composition(join(X0,X1),complement(converse(composition(top,X0)))) = composition(X1,complement(converse(composition(top,X0)))) ),
    inference(resolve,[$cnf( $equal(join(zero,composition(X1,complement(converse(composition(top,X0))))),composition(X1,complement(converse(composition(top,X0))))) )],[refute_0_2710,refute_0_2711]) ).

cnf(refute_0_2713,plain,
    composition(join(X0,X1),complement(converse(composition(top,X0)))) = composition(X1,complement(converse(composition(top,X0)))),
    inference(resolve,[$cnf( $equal(composition(join(X0,X1),complement(converse(composition(top,X0)))),join(zero,composition(X1,complement(converse(composition(top,X0)))))) )],[refute_0_2709,refute_0_2712]) ).

cnf(refute_0_2714,plain,
    composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))) = composition(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(one))))),
    inference(subst,[],[refute_0_2713:[bind(X0,$fot(complement(one))),bind(X1,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2715,plain,
    ( composition(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(one))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))
    | composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))) != composition(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(one)))))
    | composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))))),bind(Y,$fot(composition(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(one))))))),bind(Z,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))))]]) ).

cnf(refute_0_2716,plain,
    ( composition(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(one))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))
    | composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) ),
    inference(resolve,[$cnf( $equal(composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))),composition(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(one)))))) )],[refute_0_2714,refute_0_2715]) ).

cnf(refute_0_2717,plain,
    composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))),
    inference(resolve,[$cnf( $equal(composition(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(one))))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))) )],[refute_0_2705,refute_0_2716]) ).

cnf(refute_0_2718,plain,
    composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) = composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))),
    inference(subst,[],[refute_0_1817:[bind(X0,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(one))),bind(X2,$fot(complement(converse(composition(top,complement(one))))))]]) ).

cnf(refute_0_2719,plain,
    ( composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))
    | composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) != composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one)))))
    | composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))))),bind(Y,$fot(composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))))),bind(Z,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))))]]) ).

cnf(refute_0_2720,plain,
    ( composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))
    | composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) ),
    inference(resolve,[$cnf( $equal(composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))),composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one)))))) )],[refute_0_2718,refute_0_2719]) ).

cnf(refute_0_2721,plain,
    composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))),
    inference(resolve,[$cnf( $equal(composition(join(complement(one),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(one))))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))) )],[refute_0_2717,refute_0_2720]) ).

cnf(refute_0_2722,plain,
    ( composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))
    | composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))
    | composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))))),bind(Y,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))))),bind(Z,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))))]]) ).

cnf(refute_0_2723,plain,
    ( composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))
    | composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))) ),
    inference(resolve,[$cnf( $equal(composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one))))))) )],[refute_0_2721,refute_0_2722]) ).

cnf(refute_0_2724,plain,
    composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))),
    inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(one)))))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))) )],[refute_0_2704,refute_0_2723]) ).

cnf(refute_0_2725,plain,
    ( composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))
    | composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) != zero
    | composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))) = zero ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))),zero) ),[0],$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_2726,plain,
    ( composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))) != zero
    | composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))) = zero ),
    inference(resolve,[$cnf( $equal(composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))) )],[refute_0_2724,refute_0_2725]) ).

cnf(refute_0_2727,plain,
    composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))) = zero,
    inference(resolve,[$cnf( $equal(composition(join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(one)),complement(converse(composition(top,complement(one))))),zero) )],[refute_0_2696,refute_0_2726]) ).

cnf(refute_0_2728,plain,
    ( composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))) != zero
    | join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))))) != complement(complement(composition(top,complement(one))))
    | join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))))),complement(complement(composition(top,complement(one))))) ),[0,1,1,0],$fot(zero)]]) ).

cnf(refute_0_2729,plain,
    ( join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))))) != complement(complement(composition(top,complement(one))))
    | join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one))))),zero) )],[refute_0_2727,refute_0_2728]) ).

cnf(refute_0_2730,plain,
    join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(one)))))))),complement(complement(composition(top,complement(one))))) )],[refute_0_2509,refute_0_2729]) ).

cnf(refute_0_2731,plain,
    composition(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) = top,
    inference(subst,[],[refute_0_1395:[bind(X_6,$fot(meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2732,plain,
    ( composition(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) != top
    | join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
    | composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top) = top ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top),top) ),[0,0],$fot(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_2733,plain,
    ( composition(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) != top
    | composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top) = top ),
    inference(resolve,[$cnf( $equal(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2644,refute_0_2732]) ).

cnf(refute_0_2734,plain,
    composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top) = top,
    inference(resolve,[$cnf( $equal(composition(join(one,meet(complement(one),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top),top) )],[refute_0_2731,refute_0_2733]) ).

cnf(refute_0_2735,plain,
    composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)) = composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)),
    introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)))]]) ).

cnf(refute_0_2736,plain,
    ( composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top) != top
    | composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)) != composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top))
    | composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)) = composition(skolemFOFtoCNF_X0,top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)),composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2737,plain,
    ( composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top) != top
    | composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)) = composition(skolemFOFtoCNF_X0,top) ),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)),composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top))) )],[refute_0_2735,refute_0_2736]) ).

cnf(refute_0_2738,plain,
    composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)) = composition(skolemFOFtoCNF_X0,top),
    inference(resolve,[$cnf( $equal(composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top),top) )],[refute_0_2734,refute_0_2737]) ).

cnf(refute_0_2739,plain,
    composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top) = composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(X2,$fot(top))]]) ).

cnf(refute_0_2740,plain,
    ( composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top) != composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top))
    | composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)) != composition(skolemFOFtoCNF_X0,top)
    | composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top) = composition(skolemFOFtoCNF_X0,top) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).

cnf(refute_0_2741,plain,
    ( composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)) != composition(skolemFOFtoCNF_X0,top)
    | composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top) = composition(skolemFOFtoCNF_X0,top) ),
    inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top),composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top))) )],[refute_0_2739,refute_0_2740]) ).

cnf(refute_0_2742,plain,
    composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top) = composition(skolemFOFtoCNF_X0,top),
    inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_2738,refute_0_2741]) ).

cnf(refute_0_2743,plain,
    composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)),
    introduced(tautology,[refl,[$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)))]]) ).

cnf(refute_0_2744,plain,
    ( composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top))
    | composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top) != composition(skolemFOFtoCNF_X0,top)
    | composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).

cnf(refute_0_2745,plain,
    ( composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top) != composition(skolemFOFtoCNF_X0,top)
    | composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
    inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top))) )],[refute_0_2743,refute_0_2744]) ).

cnf(refute_0_2746,plain,
    composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
    inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_2742,refute_0_2745]) ).

cnf(refute_0_2747,plain,
    composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),bind(X2,$fot(top))]]) ).

cnf(refute_0_2748,plain,
    ( composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
    | composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top))
    | composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top))),bind(Y,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)))),bind(Z,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))))]]) ).

cnf(refute_0_2749,plain,
    ( composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
    | composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
    inference(resolve,[$cnf( $equal(composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top),composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top))) )],[refute_0_2747,refute_0_2748]) ).

cnf(refute_0_2750,plain,
    composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
    inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),top)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2746,refute_0_2749]) ).

cnf(refute_0_2751,plain,
    composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)) = composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)),
    introduced(tautology,[refl,[$fot(composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)))]]) ).

cnf(refute_0_2752,plain,
    ( complement(zero) != top
    | composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)) != composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero))
    | composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)) = composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)),composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2753,plain,
    ( complement(zero) != top
    | composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)) = composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) ),
    inference(resolve,[$cnf( $equal(composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)),composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero))) )],[refute_0_2751,refute_0_2752]) ).

cnf(refute_0_2754,plain,
    composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)) = composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1330,refute_0_2753]) ).

cnf(refute_0_2755,plain,
    converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)),
    inference(subst,[],[refute_0_2264:[bind(X_144,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_2756,plain,
    composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) = composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),
    introduced(tautology,[refl,[$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2757,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
    | composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2758,plain,
    ( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
    | composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2756,refute_0_2757]) ).

cnf(refute_0_2759,plain,
    composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),
    inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2755,refute_0_2758]) ).

cnf(refute_0_2760,plain,
    converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),
    inference(subst,[],[refute_0_81:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),bind(X_24,$fot(complement(skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_2761,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))))]]) ).

cnf(refute_0_2762,plain,
    ( composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) ),
    inference(resolve,[$cnf( $equal(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2760,refute_0_2761]) ).

cnf(refute_0_2763,plain,
    converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),
    inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2759,refute_0_2762]) ).

cnf(refute_0_2764,plain,
    composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)),
    introduced(tautology,[refl,[$fot(composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))]]) ).

cnf(refute_0_2765,plain,
    ( composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))
    | converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) ),[1,0],$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))]]) ).

cnf(refute_0_2766,plain,
    ( converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))
    | composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)) ),
    inference(resolve,[$cnf( $equal(composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) )],[refute_0_2764,refute_0_2765]) ).

cnf(refute_0_2767,plain,
    composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)),
    inference(resolve,[$cnf( $equal(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))) )],[refute_0_2763,refute_0_2766]) ).

cnf(refute_0_2768,plain,
    ( composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)) != composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top)
    | composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero))
    | composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))),bind(Y,$fot(composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)))),bind(Z,$fot(composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top)))]]) ).

cnf(refute_0_2769,plain,
    ( composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)) != composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top)
    | composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) ),
    inference(resolve,[$cnf( $equal(composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)),composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero))) )],[refute_0_2767,refute_0_2768]) ).

cnf(refute_0_2770,plain,
    composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top),
    inference(resolve,[$cnf( $equal(composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(zero)),composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top)) )],[refute_0_2754,refute_0_2769]) ).

cnf(refute_0_2771,plain,
    ( composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
    | composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top)
    | composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))),bind(Y,$fot(composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top))),bind(Z,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))))]]) ).

cnf(refute_0_2772,plain,
    ( composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
    | composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
    inference(resolve,[$cnf( $equal(composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)),composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top)) )],[refute_0_2770,refute_0_2771]) ).

cnf(refute_0_2773,plain,
    composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
    inference(resolve,[$cnf( $equal(composition(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),top),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2750,refute_0_2772]) ).

cnf(refute_0_2774,plain,
    join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),
    introduced(tautology,[refl,[$fot(join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))))]]) ).

cnf(refute_0_2775,plain,
    ( composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
    | join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) != join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))
    | join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))) ),[1,1],$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))]]) ).

cnf(refute_0_2776,plain,
    ( composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
    | join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) ),
    inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_2774,refute_0_2775]) ).

cnf(refute_0_2777,plain,
    join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),
    inference(resolve,[$cnf( $equal(composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2773,refute_0_2776]) ).

cnf(refute_0_2778,plain,
    complement(complement(composition(top,complement(one)))) = composition(top,complement(one)),
    inference(subst,[],[refute_0_1002:[bind(X1,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_2779,plain,
    join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))))]]) ).

cnf(refute_0_2780,plain,
    ( complement(complement(composition(top,complement(one)))) != composition(top,complement(one))
    | join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) != join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))
    | join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))) ),[1,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_2781,plain,
    ( complement(complement(composition(top,complement(one)))) != composition(top,complement(one))
    | join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_2779,refute_0_2780]) ).

cnf(refute_0_2782,plain,
    join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),
    inference(resolve,[$cnf( $equal(complement(complement(composition(top,complement(one)))),composition(top,complement(one))) )],[refute_0_2778,refute_0_2781]) ).

cnf(refute_0_2783,plain,
    ( join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) != join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))
    | join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) != join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))
    | join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))))),bind(Y,$fot(join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))))),bind(Z,$fot(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))))]]) ).

cnf(refute_0_2784,plain,
    ( join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) != join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))
    | join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_2782,refute_0_2783]) ).

cnf(refute_0_2785,plain,
    join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),
    inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_2777,refute_0_2784]) ).

cnf(refute_0_2786,plain,
    ( join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(complement(composition(top,complement(one))))
    | join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) != join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))
    | join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) = complement(complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),complement(complement(composition(top,complement(one))))) ),[0],$fot(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))))]]) ).

cnf(refute_0_2787,plain,
    ( join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(complement(composition(top,complement(one))))
    | join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) = complement(complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_2785,refute_0_2786]) ).

cnf(refute_0_2788,plain,
    ( complement(complement(composition(top,complement(one)))) != composition(top,complement(one))
    | join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) != complement(complement(composition(top,complement(one))))
    | join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) = composition(top,complement(one)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),complement(complement(composition(top,complement(one))))) ),[1],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_2789,plain,
    ( join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) != complement(complement(composition(top,complement(one))))
    | join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(complement(complement(composition(top,complement(one)))),composition(top,complement(one))) )],[refute_0_2778,refute_0_2788]) ).

cnf(refute_0_2790,plain,
    ( join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(complement(composition(top,complement(one))))
    | join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),complement(complement(composition(top,complement(one))))) )],[refute_0_2787,refute_0_2789]) ).

cnf(refute_0_2791,plain,
    join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,complement(one)))),composition(converse(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),complement(zero))),complement(complement(composition(top,complement(one))))) )],[refute_0_2730,refute_0_2790]) ).

cnf(refute_0_2792,plain,
    ( join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) != composition(top,complement(one))
    | zero != composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))))
    | zero = composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_2793,plain,
    ( zero != composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))))
    | zero = composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),composition(top,complement(one))) )],[refute_0_2791,refute_0_2792]) ).

cnf(refute_0_2794,plain,
    zero = composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(zero,composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_2508,refute_0_2793]) ).

cnf(refute_0_2795,plain,
    composition(top,composition(top,X2)) = composition(composition(top,top),X2),
    inference(subst,[],[refute_0_1188:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).

cnf(refute_0_2796,plain,
    ( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
    | composition(top,top) != top
    | composition(top,composition(top,X2)) = composition(top,X2) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) ),[1,0],$fot(top)]]) ).

cnf(refute_0_2797,plain,
    ( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
    | composition(top,composition(top,X2)) = composition(top,X2) ),
    inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2333,refute_0_2796]) ).

cnf(refute_0_2798,plain,
    composition(top,composition(top,X2)) = composition(top,X2),
    inference(resolve,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) )],[refute_0_2795,refute_0_2797]) ).

cnf(refute_0_2799,plain,
    composition(top,composition(top,complement(one))) = composition(top,complement(one)),
    inference(subst,[],[refute_0_2798:[bind(X2,$fot(complement(one)))]]) ).

cnf(refute_0_2800,plain,
    composition(top,composition(complement(one),top)) = composition(top,composition(complement(one),top)),
    introduced(tautology,[refl,[$fot(composition(top,composition(complement(one),top)))]]) ).

cnf(refute_0_2801,plain,
    ( composition(complement(one),top) != composition(top,complement(one))
    | composition(top,composition(complement(one),top)) != composition(top,composition(complement(one),top))
    | composition(top,composition(complement(one),top)) = composition(top,composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(one),top)),composition(top,composition(complement(one),top))) ),[1,1],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_2802,plain,
    ( composition(complement(one),top) != composition(top,complement(one))
    | composition(top,composition(complement(one),top)) = composition(top,composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),top)),composition(top,composition(complement(one),top))) )],[refute_0_2800,refute_0_2801]) ).

cnf(refute_0_2803,plain,
    composition(top,composition(complement(one),top)) = composition(top,composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_1838,refute_0_2802]) ).

cnf(refute_0_2804,plain,
    ( composition(top,composition(complement(one),top)) != composition(top,composition(top,complement(one)))
    | composition(top,composition(top,complement(one))) != composition(top,complement(one))
    | composition(top,composition(complement(one),top)) = composition(top,complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(top,composition(complement(one),top)))),bind(Y,$fot(composition(top,composition(top,complement(one))))),bind(Z,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_2805,plain,
    ( composition(top,composition(top,complement(one))) != composition(top,complement(one))
    | composition(top,composition(complement(one),top)) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),top)),composition(top,composition(top,complement(one)))) )],[refute_0_2803,refute_0_2804]) ).

cnf(refute_0_2806,plain,
    composition(top,composition(complement(one),top)) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(composition(top,composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_2799,refute_0_2805]) ).

cnf(refute_0_2807,plain,
    composition(composition(top,complement(one)),top) = composition(top,composition(complement(one),top)),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(top)),bind(X1,$fot(complement(one))),bind(X2,$fot(top))]]) ).

cnf(refute_0_2808,plain,
    ( composition(composition(top,complement(one)),top) != composition(top,composition(complement(one),top))
    | composition(top,composition(complement(one),top)) != composition(top,complement(one))
    | composition(composition(top,complement(one)),top) = composition(top,complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(composition(top,complement(one)),top))),bind(Y,$fot(composition(top,composition(complement(one),top)))),bind(Z,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_2809,plain,
    ( composition(top,composition(complement(one),top)) != composition(top,complement(one))
    | composition(composition(top,complement(one)),top) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(composition(top,complement(one)),top),composition(top,composition(complement(one),top))) )],[refute_0_2807,refute_0_2808]) ).

cnf(refute_0_2810,plain,
    composition(composition(top,complement(one)),top) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_2806,refute_0_2809]) ).

cnf(refute_0_2811,plain,
    composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) = composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top),
    introduced(tautology,[refl,[$fot(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top))]]) ).

cnf(refute_0_2812,plain,
    ( composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) != composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)
    | join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) != composition(top,complement(one))
    | composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) = composition(composition(top,complement(one)),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top),composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) ),[1,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_2813,plain,
    ( join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) != composition(top,complement(one))
    | composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) = composition(composition(top,complement(one)),top) ),
    inference(resolve,[$cnf( $equal(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top),composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) )],[refute_0_2811,refute_0_2812]) ).

cnf(refute_0_2814,plain,
    composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) = composition(composition(top,complement(one)),top),
    inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),composition(top,complement(one))) )],[refute_0_2791,refute_0_2813]) ).

cnf(refute_0_2815,plain,
    ( composition(composition(top,complement(one)),top) != composition(top,complement(one))
    | composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) != composition(composition(top,complement(one)),top)
    | composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) = composition(top,complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top))),bind(Y,$fot(composition(composition(top,complement(one)),top))),bind(Z,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_2816,plain,
    ( composition(composition(top,complement(one)),top) != composition(top,complement(one))
    | composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top),composition(composition(top,complement(one)),top)) )],[refute_0_2814,refute_0_2815]) ).

cnf(refute_0_2817,plain,
    composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(composition(composition(top,complement(one)),top),composition(top,complement(one))) )],[refute_0_2810,refute_0_2816]) ).

cnf(refute_0_2818,plain,
    converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) = converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)),
    introduced(tautology,[refl,[$fot(converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)))]]) ).

cnf(refute_0_2819,plain,
    ( composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) != composition(top,complement(one))
    | converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) != converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top))
    | converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) = converse(composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)),converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top))) ),[1,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_2820,plain,
    ( composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top) != composition(top,complement(one))
    | converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) = converse(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)),converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top))) )],[refute_0_2818,refute_0_2819]) ).

cnf(refute_0_2821,plain,
    converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) = converse(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top),composition(top,complement(one))) )],[refute_0_2817,refute_0_2820]) ).

cnf(refute_0_2822,plain,
    ( converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) != converse(composition(top,complement(one)))
    | converse(composition(top,complement(one))) != composition(top,complement(one))
    | converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) = composition(top,complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)))),bind(Y,$fot(converse(composition(top,complement(one))))),bind(Z,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_2823,plain,
    ( converse(composition(top,complement(one))) != composition(top,complement(one))
    | converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)),converse(composition(top,complement(one)))) )],[refute_0_2821,refute_0_2822]) ).

cnf(refute_0_2824,plain,
    converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_2457,refute_0_2823]) ).

cnf(refute_0_2825,plain,
    converse(composition(join(X_253,X_252),X1)) = composition(converse(X1),converse(join(X_253,X_252))),
    inference(subst,[],[refute_0_12:[bind(X0,$fot(join(X_253,X_252)))]]) ).

cnf(refute_0_2826,plain,
    composition(join(X_253,X_252),X1) = composition(join(X_252,X_253),X1),
    inference(subst,[],[refute_0_1364:[bind(X_67,$fot(X_252)),bind(X_68,$fot(X_253)),bind(X_69,$fot(X1))]]) ).

cnf(refute_0_2827,plain,
    ( composition(join(X_253,X_252),X1) != composition(join(X_252,X_253),X1)
    | converse(composition(join(X_253,X_252),X1)) != composition(converse(X1),converse(join(X_253,X_252)))
    | converse(composition(join(X_252,X_253),X1)) = composition(converse(X1),converse(join(X_253,X_252))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_253,X_252),X1)),composition(converse(X1),converse(join(X_253,X_252)))) ),[0,0],$fot(composition(join(X_252,X_253),X1))]]) ).

cnf(refute_0_2828,plain,
    ( converse(composition(join(X_253,X_252),X1)) != composition(converse(X1),converse(join(X_253,X_252)))
    | converse(composition(join(X_252,X_253),X1)) = composition(converse(X1),converse(join(X_253,X_252))) ),
    inference(resolve,[$cnf( $equal(composition(join(X_253,X_252),X1),composition(join(X_252,X_253),X1)) )],[refute_0_2826,refute_0_2827]) ).

cnf(refute_0_2829,plain,
    converse(composition(join(X_252,X_253),X1)) = composition(converse(X1),converse(join(X_253,X_252))),
    inference(resolve,[$cnf( $equal(converse(composition(join(X_253,X_252),X1)),composition(converse(X1),converse(join(X_253,X_252)))) )],[refute_0_2825,refute_0_2828]) ).

cnf(refute_0_2830,plain,
    composition(converse(X1),converse(join(X_253,X_252))) = converse(composition(join(X_253,X_252),X1)),
    inference(subst,[],[refute_0_2022:[bind(X0,$fot(join(X_253,X_252)))]]) ).

cnf(refute_0_2831,plain,
    ( composition(converse(X1),converse(join(X_253,X_252))) != converse(composition(join(X_253,X_252),X1))
    | converse(composition(join(X_252,X_253),X1)) != composition(converse(X1),converse(join(X_253,X_252)))
    | converse(composition(join(X_252,X_253),X1)) = converse(composition(join(X_253,X_252),X1)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_252,X_253),X1)),composition(converse(X1),converse(join(X_253,X_252)))) ),[1],$fot(converse(composition(join(X_253,X_252),X1)))]]) ).

cnf(refute_0_2832,plain,
    ( converse(composition(join(X_252,X_253),X1)) != composition(converse(X1),converse(join(X_253,X_252)))
    | converse(composition(join(X_252,X_253),X1)) = converse(composition(join(X_253,X_252),X1)) ),
    inference(resolve,[$cnf( $equal(composition(converse(X1),converse(join(X_253,X_252))),converse(composition(join(X_253,X_252),X1))) )],[refute_0_2830,refute_0_2831]) ).

cnf(refute_0_2833,plain,
    converse(composition(join(X_252,X_253),X1)) = converse(composition(join(X_253,X_252),X1)),
    inference(resolve,[$cnf( $equal(converse(composition(join(X_252,X_253),X1)),composition(converse(X1),converse(join(X_253,X_252)))) )],[refute_0_2829,refute_0_2832]) ).

cnf(refute_0_2834,plain,
    ( converse(composition(join(X_252,X_253),X1)) != converse(composition(join(X_253,X_252),X1))
    | converse(composition(join(X_253,X_252),X1)) = converse(composition(join(X_252,X_253),X1)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(join(X_252,X_253),X1)))),bind(Y,$fot(converse(composition(join(X_253,X_252),X1))))]]) ).

cnf(refute_0_2835,plain,
    converse(composition(join(X_253,X_252),X1)) = converse(composition(join(X_252,X_253),X1)),
    inference(resolve,[$cnf( $equal(converse(composition(join(X_252,X_253),X1)),converse(composition(join(X_253,X_252),X1))) )],[refute_0_2833,refute_0_2834]) ).

cnf(refute_0_2836,plain,
    converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)) = converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)),
    inference(subst,[],[refute_0_2835:[bind(X1,$fot(top)),bind(X_252,$fot(composition(top,complement(one)))),bind(X_253,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))))]]) ).

cnf(refute_0_2837,plain,
    ( converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)) != converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top))
    | converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) != composition(top,complement(one))
    | converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)) = composition(top,complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)))),bind(Y,$fot(converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)))),bind(Z,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_2838,plain,
    ( converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)) != composition(top,complement(one))
    | converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)),converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top))) )],[refute_0_2836,refute_0_2837]) ).

cnf(refute_0_2839,plain,
    converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(converse(composition(join(composition(top,complement(one)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))),top)),composition(top,complement(one))) )],[refute_0_2824,refute_0_2838]) ).

cnf(refute_0_2840,plain,
    complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))) = complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),
    introduced(tautology,[refl,[$fot(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))))]]) ).

cnf(refute_0_2841,plain,
    ( complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))) != complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)))
    | converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)) != composition(top,complement(one))
    | complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))) = complement(composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)))) ),[1,0],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_2842,plain,
    ( converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)) != composition(top,complement(one))
    | complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)))) )],[refute_0_2840,refute_0_2841]) ).

cnf(refute_0_2843,plain,
    complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top)),composition(top,complement(one))) )],[refute_0_2839,refute_0_2842]) ).

cnf(refute_0_2844,plain,
    composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))) = composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))),
    introduced(tautology,[refl,[$fot(composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))))]]) ).

cnf(refute_0_2845,plain,
    ( complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))) != complement(composition(top,complement(one)))
    | composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))) != composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one)))
    | composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))) = composition(complement(composition(top,complement(one))),composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))),composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one)))) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_2846,plain,
    ( complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))) != complement(composition(top,complement(one)))
    | composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))) = composition(complement(composition(top,complement(one))),composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))),composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one)))) )],[refute_0_2844,refute_0_2845]) ).

cnf(refute_0_2847,plain,
    composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))) = composition(complement(composition(top,complement(one))),composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),complement(composition(top,complement(one)))) )],[refute_0_2843,refute_0_2846]) ).

cnf(refute_0_2848,plain,
    ( composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))) != composition(complement(composition(top,complement(one))),composition(top,complement(one)))
    | zero != composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one)))
    | zero = composition(complement(composition(top,complement(one))),composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one)))) ),[1],$fot(composition(complement(composition(top,complement(one))),composition(top,complement(one))))]]) ).

cnf(refute_0_2849,plain,
    ( zero != composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one)))
    | zero = composition(complement(composition(top,complement(one))),composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one))),composition(complement(composition(top,complement(one))),composition(top,complement(one)))) )],[refute_0_2847,refute_0_2848]) ).

cnf(refute_0_2850,plain,
    zero = composition(complement(composition(top,complement(one))),composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(zero,composition(complement(converse(composition(join(composition(complement(converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(top,complement(one))),top))),composition(top,complement(one)))) )],[refute_0_2794,refute_0_2849]) ).

cnf(refute_0_2851,plain,
    ( zero != composition(complement(composition(top,complement(one))),composition(top,complement(one)))
    | composition(complement(composition(top,complement(one))),composition(top,complement(one))) = zero ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))]]) ).

cnf(refute_0_2852,plain,
    composition(complement(composition(top,complement(one))),composition(top,complement(one))) = zero,
    inference(resolve,[$cnf( $equal(zero,composition(complement(composition(top,complement(one))),composition(top,complement(one)))) )],[refute_0_2850,refute_0_2851]) ).

cnf(refute_0_2853,plain,
    ( composition(complement(composition(top,complement(one))),composition(top,complement(one))) != zero
    | converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) != converse(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),composition(top,complement(one)))))
    | converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) = converse(join(complement(composition(top,complement(one))),zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))),converse(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) ),[1,0,1],$fot(zero)]]) ).

cnf(refute_0_2854,plain,
    ( converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) != converse(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),composition(top,complement(one)))))
    | converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) = converse(join(complement(composition(top,complement(one))),zero)) ),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),composition(top,complement(one))),zero) )],[refute_0_2852,refute_0_2853]) ).

cnf(refute_0_2855,plain,
    converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) = converse(join(complement(composition(top,complement(one))),zero)),
    inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))),converse(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) )],[refute_0_2467,refute_0_2854]) ).

cnf(refute_0_2856,plain,
    join(zero,complement(composition(top,complement(one)))) = complement(composition(top,complement(one))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_2857,plain,
    converse(join(zero,complement(composition(top,complement(one))))) = converse(join(zero,complement(composition(top,complement(one))))),
    introduced(tautology,[refl,[$fot(converse(join(zero,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_2858,plain,
    ( converse(join(zero,complement(composition(top,complement(one))))) != converse(join(zero,complement(composition(top,complement(one)))))
    | join(zero,complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(join(zero,complement(composition(top,complement(one))))) = converse(complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,complement(composition(top,complement(one))))),converse(join(zero,complement(composition(top,complement(one)))))) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_2859,plain,
    ( join(zero,complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(join(zero,complement(composition(top,complement(one))))) = converse(complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(converse(join(zero,complement(composition(top,complement(one))))),converse(join(zero,complement(composition(top,complement(one)))))) )],[refute_0_2857,refute_0_2858]) ).

cnf(refute_0_2860,plain,
    converse(join(zero,complement(composition(top,complement(one))))) = converse(complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(join(zero,complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_2856,refute_0_2859]) ).

cnf(refute_0_2861,plain,
    ( converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(join(zero,complement(composition(top,complement(one))))) != converse(complement(composition(top,complement(one))))
    | converse(join(zero,complement(composition(top,complement(one))))) = complement(composition(top,complement(one))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(join(zero,complement(composition(top,complement(one))))))),bind(Y,$fot(converse(complement(composition(top,complement(one)))))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_2862,plain,
    ( converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(join(zero,complement(composition(top,complement(one))))) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(join(zero,complement(composition(top,complement(one))))),converse(complement(composition(top,complement(one))))) )],[refute_0_2860,refute_0_2861]) ).

cnf(refute_0_2863,plain,
    converse(join(zero,complement(composition(top,complement(one))))) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_2465,refute_0_2862]) ).

cnf(refute_0_2864,plain,
    join(converse(join(X_9,X_5)),converse(join(X_9,X_5))) = join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))),
    inference(subst,[],[refute_0_1185:[bind(X_10,$fot(converse(join(X_9,X_5))))]]) ).

cnf(refute_0_2865,plain,
    converse(join(X_9,X_5)) = join(converse(join(X_9,X_5)),converse(join(X_9,X_5))),
    inference(subst,[],[refute_0_365:[bind(X_256,$fot(converse(join(X_9,X_5))))]]) ).

cnf(refute_0_2866,plain,
    ( converse(join(X_9,X_5)) != join(converse(join(X_9,X_5)),converse(join(X_9,X_5)))
    | join(converse(join(X_9,X_5)),converse(join(X_9,X_5))) = converse(join(X_9,X_5)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_9,X_5)))),bind(Y,$fot(join(converse(join(X_9,X_5)),converse(join(X_9,X_5)))))]]) ).

cnf(refute_0_2867,plain,
    join(converse(join(X_9,X_5)),converse(join(X_9,X_5))) = converse(join(X_9,X_5)),
    inference(resolve,[$cnf( $equal(converse(join(X_9,X_5)),join(converse(join(X_9,X_5)),converse(join(X_9,X_5)))) )],[refute_0_2865,refute_0_2866]) ).

cnf(refute_0_2868,plain,
    ( join(converse(join(X_9,X_5)),converse(join(X_9,X_5))) != converse(join(X_9,X_5))
    | join(converse(join(X_9,X_5)),converse(join(X_9,X_5))) != join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9)))
    | converse(join(X_9,X_5)) = join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_9,X_5)),converse(join(X_9,X_5))),join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9)))) ),[0],$fot(converse(join(X_9,X_5)))]]) ).

cnf(refute_0_2869,plain,
    ( join(converse(join(X_9,X_5)),converse(join(X_9,X_5))) != join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9)))
    | converse(join(X_9,X_5)) = join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X_9,X_5)),converse(join(X_9,X_5))),converse(join(X_9,X_5))) )],[refute_0_2867,refute_0_2868]) ).

cnf(refute_0_2870,plain,
    converse(join(X_9,X_5)) = join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))),
    inference(resolve,[$cnf( $equal(join(converse(join(X_9,X_5)),converse(join(X_9,X_5))),join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9)))) )],[refute_0_2864,refute_0_2869]) ).

cnf(refute_0_2871,plain,
    join(converse(join(X0,X_10)),converse(X_237)) = join(converse(X0),join(converse(X_10),converse(X_237))),
    inference(subst,[],[refute_0_864:[bind(X_9,$fot(converse(X_237)))]]) ).

cnf(refute_0_2872,plain,
    join(converse(join(X_237,X0)),converse(X_10)) = join(converse(X0),join(converse(X_10),converse(X_237))),
    inference(subst,[],[refute_0_1185:[bind(X_10,$fot(converse(X_10))),bind(X_5,$fot(X0)),bind(X_9,$fot(X_237))]]) ).

cnf(refute_0_2873,plain,
    ( join(converse(join(X_237,X0)),converse(X_10)) != join(converse(X0),join(converse(X_10),converse(X_237)))
    | join(converse(X0),join(converse(X_10),converse(X_237))) = join(converse(join(X_237,X0)),converse(X_10)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(converse(join(X_237,X0)),converse(X_10)))),bind(Y,$fot(join(converse(X0),join(converse(X_10),converse(X_237)))))]]) ).

cnf(refute_0_2874,plain,
    join(converse(X0),join(converse(X_10),converse(X_237))) = join(converse(join(X_237,X0)),converse(X_10)),
    inference(resolve,[$cnf( $equal(join(converse(join(X_237,X0)),converse(X_10)),join(converse(X0),join(converse(X_10),converse(X_237)))) )],[refute_0_2872,refute_0_2873]) ).

cnf(refute_0_2875,plain,
    ( join(converse(X0),join(converse(X_10),converse(X_237))) != join(converse(join(X_237,X0)),converse(X_10))
    | join(converse(join(X0,X_10)),converse(X_237)) != join(converse(X0),join(converse(X_10),converse(X_237)))
    | join(converse(join(X0,X_10)),converse(X_237)) = join(converse(join(X_237,X0)),converse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,X_10)),converse(X_237)),join(converse(X0),join(converse(X_10),converse(X_237)))) ),[1],$fot(join(converse(join(X_237,X0)),converse(X_10)))]]) ).

cnf(refute_0_2876,plain,
    ( join(converse(join(X0,X_10)),converse(X_237)) != join(converse(X0),join(converse(X_10),converse(X_237)))
    | join(converse(join(X0,X_10)),converse(X_237)) = join(converse(join(X_237,X0)),converse(X_10)) ),
    inference(resolve,[$cnf( $equal(join(converse(X0),join(converse(X_10),converse(X_237))),join(converse(join(X_237,X0)),converse(X_10))) )],[refute_0_2874,refute_0_2875]) ).

cnf(refute_0_2877,plain,
    join(converse(join(X0,X_10)),converse(X_237)) = join(converse(join(X_237,X0)),converse(X_10)),
    inference(resolve,[$cnf( $equal(join(converse(join(X0,X_10)),converse(X_237)),join(converse(X0),join(converse(X_10),converse(X_237)))) )],[refute_0_2871,refute_0_2876]) ).

cnf(refute_0_2878,plain,
    join(join(X0,X_10),X_237) = join(X0,join(X_10,X_237)),
    inference(subst,[],[refute_0_70:[bind(X1,$fot(X_10)),bind(X2,$fot(X_237))]]) ).

cnf(refute_0_2879,plain,
    converse(join(join(X0,X_10),X_237)) = converse(join(join(X0,X_10),X_237)),
    introduced(tautology,[refl,[$fot(converse(join(join(X0,X_10),X_237)))]]) ).

cnf(refute_0_2880,plain,
    ( converse(join(join(X0,X_10),X_237)) != converse(join(join(X0,X_10),X_237))
    | join(join(X0,X_10),X_237) != join(X0,join(X_10,X_237))
    | converse(join(join(X0,X_10),X_237)) = converse(join(X0,join(X_10,X_237))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X0,X_10),X_237)),converse(join(join(X0,X_10),X_237))) ),[1,0],$fot(join(X0,join(X_10,X_237)))]]) ).

cnf(refute_0_2881,plain,
    ( join(join(X0,X_10),X_237) != join(X0,join(X_10,X_237))
    | converse(join(join(X0,X_10),X_237)) = converse(join(X0,join(X_10,X_237))) ),
    inference(resolve,[$cnf( $equal(converse(join(join(X0,X_10),X_237)),converse(join(join(X0,X_10),X_237))) )],[refute_0_2879,refute_0_2880]) ).

cnf(refute_0_2882,plain,
    converse(join(join(X0,X_10),X_237)) = converse(join(X0,join(X_10,X_237))),
    inference(resolve,[$cnf( $equal(join(join(X0,X_10),X_237),join(X0,join(X_10,X_237))) )],[refute_0_2878,refute_0_2881]) ).

cnf(refute_0_2883,plain,
    join(converse(join(X0,X_10)),converse(X_237)) = converse(join(join(X0,X_10),X_237)),
    inference(subst,[],[refute_0_50:[bind(X0,$fot(join(X0,X_10))),bind(X1,$fot(X_237))]]) ).

cnf(refute_0_2884,plain,
    ( converse(join(join(X0,X_10),X_237)) != converse(join(X0,join(X_10,X_237)))
    | join(converse(join(X0,X_10)),converse(X_237)) != converse(join(join(X0,X_10),X_237))
    | join(converse(join(X0,X_10)),converse(X_237)) = converse(join(X0,join(X_10,X_237))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(join(X0,X_10)),converse(X_237)))),bind(Y,$fot(converse(join(join(X0,X_10),X_237)))),bind(Z,$fot(converse(join(X0,join(X_10,X_237)))))]]) ).

cnf(refute_0_2885,plain,
    ( converse(join(join(X0,X_10),X_237)) != converse(join(X0,join(X_10,X_237)))
    | join(converse(join(X0,X_10)),converse(X_237)) = converse(join(X0,join(X_10,X_237))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X0,X_10)),converse(X_237)),converse(join(join(X0,X_10),X_237))) )],[refute_0_2883,refute_0_2884]) ).

cnf(refute_0_2886,plain,
    join(converse(join(X0,X_10)),converse(X_237)) = converse(join(X0,join(X_10,X_237))),
    inference(resolve,[$cnf( $equal(converse(join(join(X0,X_10),X_237)),converse(join(X0,join(X_10,X_237)))) )],[refute_0_2882,refute_0_2885]) ).

cnf(refute_0_2887,plain,
    ( join(converse(join(X0,X_10)),converse(X_237)) != converse(join(X0,join(X_10,X_237)))
    | join(converse(join(X0,X_10)),converse(X_237)) != join(converse(join(X_237,X0)),converse(X_10))
    | converse(join(X0,join(X_10,X_237))) = join(converse(join(X_237,X0)),converse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,X_10)),converse(X_237)),join(converse(join(X_237,X0)),converse(X_10))) ),[0],$fot(converse(join(X0,join(X_10,X_237))))]]) ).

cnf(refute_0_2888,plain,
    ( join(converse(join(X0,X_10)),converse(X_237)) != join(converse(join(X_237,X0)),converse(X_10))
    | converse(join(X0,join(X_10,X_237))) = join(converse(join(X_237,X0)),converse(X_10)) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X0,X_10)),converse(X_237)),converse(join(X0,join(X_10,X_237)))) )],[refute_0_2886,refute_0_2887]) ).

cnf(refute_0_2889,plain,
    join(join(X_237,X0),X_10) = join(X_237,join(X0,X_10)),
    inference(subst,[],[refute_0_70:[bind(X0,$fot(X_237)),bind(X1,$fot(X0)),bind(X2,$fot(X_10))]]) ).

cnf(refute_0_2890,plain,
    converse(join(join(X_237,X0),X_10)) = converse(join(join(X_237,X0),X_10)),
    introduced(tautology,[refl,[$fot(converse(join(join(X_237,X0),X_10)))]]) ).

cnf(refute_0_2891,plain,
    ( converse(join(join(X_237,X0),X_10)) != converse(join(join(X_237,X0),X_10))
    | join(join(X_237,X0),X_10) != join(X_237,join(X0,X_10))
    | converse(join(join(X_237,X0),X_10)) = converse(join(X_237,join(X0,X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_237,X0),X_10)),converse(join(join(X_237,X0),X_10))) ),[1,0],$fot(join(X_237,join(X0,X_10)))]]) ).

cnf(refute_0_2892,plain,
    ( join(join(X_237,X0),X_10) != join(X_237,join(X0,X_10))
    | converse(join(join(X_237,X0),X_10)) = converse(join(X_237,join(X0,X_10))) ),
    inference(resolve,[$cnf( $equal(converse(join(join(X_237,X0),X_10)),converse(join(join(X_237,X0),X_10))) )],[refute_0_2890,refute_0_2891]) ).

cnf(refute_0_2893,plain,
    converse(join(join(X_237,X0),X_10)) = converse(join(X_237,join(X0,X_10))),
    inference(resolve,[$cnf( $equal(join(join(X_237,X0),X_10),join(X_237,join(X0,X_10))) )],[refute_0_2889,refute_0_2892]) ).

cnf(refute_0_2894,plain,
    join(converse(join(X_237,X0)),converse(X_10)) = converse(join(join(X_237,X0),X_10)),
    inference(subst,[],[refute_0_50:[bind(X0,$fot(join(X_237,X0))),bind(X1,$fot(X_10))]]) ).

cnf(refute_0_2895,plain,
    ( converse(join(join(X_237,X0),X_10)) != converse(join(X_237,join(X0,X_10)))
    | join(converse(join(X_237,X0)),converse(X_10)) != converse(join(join(X_237,X0),X_10))
    | join(converse(join(X_237,X0)),converse(X_10)) = converse(join(X_237,join(X0,X_10))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(join(X_237,X0)),converse(X_10)))),bind(Y,$fot(converse(join(join(X_237,X0),X_10)))),bind(Z,$fot(converse(join(X_237,join(X0,X_10)))))]]) ).

cnf(refute_0_2896,plain,
    ( converse(join(join(X_237,X0),X_10)) != converse(join(X_237,join(X0,X_10)))
    | join(converse(join(X_237,X0)),converse(X_10)) = converse(join(X_237,join(X0,X_10))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X_237,X0)),converse(X_10)),converse(join(join(X_237,X0),X_10))) )],[refute_0_2894,refute_0_2895]) ).

cnf(refute_0_2897,plain,
    join(converse(join(X_237,X0)),converse(X_10)) = converse(join(X_237,join(X0,X_10))),
    inference(resolve,[$cnf( $equal(converse(join(join(X_237,X0),X_10)),converse(join(X_237,join(X0,X_10)))) )],[refute_0_2893,refute_0_2896]) ).

cnf(refute_0_2898,plain,
    ( converse(join(X0,join(X_10,X_237))) != join(converse(join(X_237,X0)),converse(X_10))
    | join(converse(join(X_237,X0)),converse(X_10)) != converse(join(X_237,join(X0,X_10)))
    | converse(join(X0,join(X_10,X_237))) = converse(join(X_237,join(X0,X_10))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(X_10,X_237))),converse(join(X_237,join(X0,X_10)))) ),[0],$fot(join(converse(join(X_237,X0)),converse(X_10)))]]) ).

cnf(refute_0_2899,plain,
    ( converse(join(X0,join(X_10,X_237))) != join(converse(join(X_237,X0)),converse(X_10))
    | converse(join(X0,join(X_10,X_237))) = converse(join(X_237,join(X0,X_10))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X_237,X0)),converse(X_10)),converse(join(X_237,join(X0,X_10)))) )],[refute_0_2897,refute_0_2898]) ).

cnf(refute_0_2900,plain,
    ( join(converse(join(X0,X_10)),converse(X_237)) != join(converse(join(X_237,X0)),converse(X_10))
    | converse(join(X0,join(X_10,X_237))) = converse(join(X_237,join(X0,X_10))) ),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_10,X_237))),join(converse(join(X_237,X0)),converse(X_10))) )],[refute_0_2888,refute_0_2899]) ).

cnf(refute_0_2901,plain,
    converse(join(X0,join(X_10,X_237))) = converse(join(X_237,join(X0,X_10))),
    inference(resolve,[$cnf( $equal(join(converse(join(X0,X_10)),converse(X_237)),join(converse(join(X_237,X0)),converse(X_10))) )],[refute_0_2877,refute_0_2900]) ).

cnf(refute_0_2902,plain,
    ( converse(join(X0,join(X_10,X_237))) != converse(join(X_237,join(X0,X_10)))
    | converse(join(X_237,join(X0,X_10))) = converse(join(X0,join(X_10,X_237))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,join(X_10,X_237))))),bind(Y,$fot(converse(join(X_237,join(X0,X_10)))))]]) ).

cnf(refute_0_2903,plain,
    converse(join(X_237,join(X0,X_10))) = converse(join(X0,join(X_10,X_237))),
    inference(resolve,[$cnf( $equal(converse(join(X0,join(X_10,X_237))),converse(join(X_237,join(X0,X_10)))) )],[refute_0_2901,refute_0_2902]) ).

cnf(refute_0_2904,plain,
    converse(join(join(X_5,X_9),join(X_9,X_5))) = converse(join(X_9,join(X_5,join(X_5,X_9)))),
    inference(subst,[],[refute_0_2903:[bind(X0,$fot(X_9)),bind(X_10,$fot(X_5)),bind(X_237,$fot(join(X_5,X_9)))]]) ).

cnf(refute_0_2905,plain,
    join(converse(join(X_5,X_9)),converse(join(X_9,X_5))) = converse(join(join(X_5,X_9),join(X_9,X_5))),
    inference(subst,[],[refute_0_50:[bind(X0,$fot(join(X_5,X_9))),bind(X1,$fot(join(X_9,X_5)))]]) ).

cnf(refute_0_2906,plain,
    ( converse(join(join(X_5,X_9),join(X_9,X_5))) != converse(join(X_9,join(X_5,join(X_5,X_9))))
    | join(converse(join(X_5,X_9)),converse(join(X_9,X_5))) != converse(join(join(X_5,X_9),join(X_9,X_5)))
    | join(converse(join(X_5,X_9)),converse(join(X_9,X_5))) = converse(join(X_9,join(X_5,join(X_5,X_9)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(join(X_5,X_9)),converse(join(X_9,X_5))))),bind(Y,$fot(converse(join(join(X_5,X_9),join(X_9,X_5))))),bind(Z,$fot(converse(join(X_9,join(X_5,join(X_5,X_9))))))]]) ).

cnf(refute_0_2907,plain,
    ( converse(join(join(X_5,X_9),join(X_9,X_5))) != converse(join(X_9,join(X_5,join(X_5,X_9))))
    | join(converse(join(X_5,X_9)),converse(join(X_9,X_5))) = converse(join(X_9,join(X_5,join(X_5,X_9)))) ),
    inference(resolve,[$cnf( $equal(join(converse(join(X_5,X_9)),converse(join(X_9,X_5))),converse(join(join(X_5,X_9),join(X_9,X_5)))) )],[refute_0_2905,refute_0_2906]) ).

cnf(refute_0_2908,plain,
    join(converse(join(X_5,X_9)),converse(join(X_9,X_5))) = converse(join(X_9,join(X_5,join(X_5,X_9)))),
    inference(resolve,[$cnf( $equal(converse(join(join(X_5,X_9),join(X_9,X_5))),converse(join(X_9,join(X_5,join(X_5,X_9))))) )],[refute_0_2904,refute_0_2907]) ).

cnf(refute_0_2909,plain,
    join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))) = join(converse(join(X_5,X_9)),converse(join(X_9,X_5))),
    inference(subst,[],[refute_0_2446:[bind(X0,$fot(X_5)),bind(X_10,$fot(X_9)),bind(X_9,$fot(converse(join(X_9,X_5))))]]) ).

cnf(refute_0_2910,plain,
    ( join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))) != join(converse(join(X_5,X_9)),converse(join(X_9,X_5)))
    | join(converse(join(X_5,X_9)),converse(join(X_9,X_5))) != converse(join(X_9,join(X_5,join(X_5,X_9))))
    | join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))) = converse(join(X_9,join(X_5,join(X_5,X_9)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))))),bind(Y,$fot(join(converse(join(X_5,X_9)),converse(join(X_9,X_5))))),bind(Z,$fot(converse(join(X_9,join(X_5,join(X_5,X_9))))))]]) ).

cnf(refute_0_2911,plain,
    ( join(converse(join(X_5,X_9)),converse(join(X_9,X_5))) != converse(join(X_9,join(X_5,join(X_5,X_9))))
    | join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))) = converse(join(X_9,join(X_5,join(X_5,X_9)))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))),join(converse(join(X_5,X_9)),converse(join(X_9,X_5)))) )],[refute_0_2909,refute_0_2910]) ).

cnf(refute_0_2912,plain,
    join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))) = converse(join(X_9,join(X_5,join(X_5,X_9)))),
    inference(resolve,[$cnf( $equal(join(converse(join(X_5,X_9)),converse(join(X_9,X_5))),converse(join(X_9,join(X_5,join(X_5,X_9))))) )],[refute_0_2908,refute_0_2911]) ).

cnf(refute_0_2913,plain,
    join(join(X_158,X_159),X1) = join(X1,join(X_158,X_159)),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(join(X_158,X_159)))]]) ).

cnf(refute_0_2914,plain,
    join(X1,join(X_158,X_159)) = join(X_158,join(X1,X_159)),
    inference(subst,[],[refute_0_74:[bind(X_41,$fot(X1)),bind(X_42,$fot(X_158)),bind(X_43,$fot(X_159))]]) ).

cnf(refute_0_2915,plain,
    ( join(X1,join(X_158,X_159)) != join(X_158,join(X1,X_159))
    | join(join(X_158,X_159),X1) != join(X1,join(X_158,X_159))
    | join(join(X_158,X_159),X1) = join(X_158,join(X1,X_159)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_158,X_159),X1),join(X1,join(X_158,X_159))) ),[1],$fot(join(X_158,join(X1,X_159)))]]) ).

cnf(refute_0_2916,plain,
    ( join(join(X_158,X_159),X1) != join(X1,join(X_158,X_159))
    | join(join(X_158,X_159),X1) = join(X_158,join(X1,X_159)) ),
    inference(resolve,[$cnf( $equal(join(X1,join(X_158,X_159)),join(X_158,join(X1,X_159))) )],[refute_0_2914,refute_0_2915]) ).

cnf(refute_0_2917,plain,
    join(join(X_158,X_159),X1) = join(X_158,join(X1,X_159)),
    inference(resolve,[$cnf( $equal(join(join(X_158,X_159),X1),join(X1,join(X_158,X_159))) )],[refute_0_2913,refute_0_2916]) ).

cnf(refute_0_2918,plain,
    join(join(X_158,X_159),X1) = join(X_158,join(X_159,X1)),
    inference(subst,[],[refute_0_70:[bind(X0,$fot(X_158)),bind(X1,$fot(X_159)),bind(X2,$fot(X1))]]) ).

cnf(refute_0_2919,plain,
    ( join(join(X_158,X_159),X1) != join(X_158,join(X1,X_159))
    | join(join(X_158,X_159),X1) != join(X_158,join(X_159,X1))
    | join(X_158,join(X_159,X1)) = join(X_158,join(X1,X_159)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_158,X_159),X1),join(X_158,join(X1,X_159))) ),[0],$fot(join(X_158,join(X_159,X1)))]]) ).

cnf(refute_0_2920,plain,
    ( join(join(X_158,X_159),X1) != join(X_158,join(X1,X_159))
    | join(X_158,join(X_159,X1)) = join(X_158,join(X1,X_159)) ),
    inference(resolve,[$cnf( $equal(join(join(X_158,X_159),X1),join(X_158,join(X_159,X1))) )],[refute_0_2918,refute_0_2919]) ).

cnf(refute_0_2921,plain,
    join(X_158,join(X_159,X1)) = join(X_158,join(X1,X_159)),
    inference(resolve,[$cnf( $equal(join(join(X_158,X_159),X1),join(X_158,join(X1,X_159))) )],[refute_0_2917,refute_0_2920]) ).

cnf(refute_0_2922,plain,
    ( join(X_158,join(X_159,X1)) != join(X_158,join(X1,X_159))
    | join(X_158,join(X1,X_159)) = join(X_158,join(X_159,X1)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_158,join(X_159,X1)))),bind(Y,$fot(join(X_158,join(X1,X_159))))]]) ).

cnf(refute_0_2923,plain,
    join(X_158,join(X1,X_159)) = join(X_158,join(X_159,X1)),
    inference(resolve,[$cnf( $equal(join(X_158,join(X_159,X1)),join(X_158,join(X1,X_159))) )],[refute_0_2921,refute_0_2922]) ).

cnf(refute_0_2924,plain,
    join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))) = join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))),
    inference(subst,[],[refute_0_2923:[bind(X1,$fot(converse(join(X_9,X_5)))),bind(X_158,$fot(converse(X_5))),bind(X_159,$fot(converse(X_9)))]]) ).

cnf(refute_0_2925,plain,
    ( join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))) != converse(join(X_9,join(X_5,join(X_5,X_9))))
    | join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))) != join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5))))
    | join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))) = converse(join(X_9,join(X_5,join(X_5,X_9)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))))),bind(Y,$fot(join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))))),bind(Z,$fot(converse(join(X_9,join(X_5,join(X_5,X_9))))))]]) ).

cnf(refute_0_2926,plain,
    ( join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))) != converse(join(X_9,join(X_5,join(X_5,X_9))))
    | join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))) = converse(join(X_9,join(X_5,join(X_5,X_9)))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))),join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5))))) )],[refute_0_2924,refute_0_2925]) ).

cnf(refute_0_2927,plain,
    join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))) = converse(join(X_9,join(X_5,join(X_5,X_9)))),
    inference(resolve,[$cnf( $equal(join(converse(X_5),join(converse(X_9),converse(join(X_9,X_5)))),converse(join(X_9,join(X_5,join(X_5,X_9))))) )],[refute_0_2912,refute_0_2926]) ).

cnf(refute_0_2928,plain,
    ( converse(join(X_9,X_5)) != join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9)))
    | join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))) != converse(join(X_9,join(X_5,join(X_5,X_9))))
    | converse(join(X_9,X_5)) = converse(join(X_9,join(X_5,join(X_5,X_9)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_9,X_5)),converse(join(X_9,join(X_5,join(X_5,X_9))))) ),[0],$fot(join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))))]]) ).

cnf(refute_0_2929,plain,
    ( converse(join(X_9,X_5)) != join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9)))
    | converse(join(X_9,X_5)) = converse(join(X_9,join(X_5,join(X_5,X_9)))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9))),converse(join(X_9,join(X_5,join(X_5,X_9))))) )],[refute_0_2927,refute_0_2928]) ).

cnf(refute_0_2930,plain,
    converse(join(X_9,X_5)) = converse(join(X_9,join(X_5,join(X_5,X_9)))),
    inference(resolve,[$cnf( $equal(converse(join(X_9,X_5)),join(converse(X_5),join(converse(join(X_9,X_5)),converse(X_9)))) )],[refute_0_2870,refute_0_2929]) ).

cnf(refute_0_2931,plain,
    join(X0,join(X_42,X_42)) = join(X_42,join(X_42,X0)),
    inference(subst,[],[refute_0_622:[bind(X_41,$fot(X_42))]]) ).

cnf(refute_0_2932,plain,
    X_42 = join(X_42,X_42),
    inference(subst,[],[refute_0_365:[bind(X_256,$fot(X_42))]]) ).

cnf(refute_0_2933,plain,
    ( X_42 != join(X_42,X_42)
    | join(X_42,X_42) = X_42 ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_42)),bind(Y,$fot(join(X_42,X_42)))]]) ).

cnf(refute_0_2934,plain,
    join(X_42,X_42) = X_42,
    inference(resolve,[$cnf( $equal(X_42,join(X_42,X_42)) )],[refute_0_2932,refute_0_2933]) ).

cnf(refute_0_2935,plain,
    ( join(X0,join(X_42,X_42)) != join(X_42,join(X_42,X0))
    | join(X_42,X_42) != X_42
    | join(X0,X_42) = join(X_42,join(X_42,X0)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X_42,X_42)),join(X_42,join(X_42,X0))) ),[0,1],$fot(X_42)]]) ).

cnf(refute_0_2936,plain,
    ( join(X0,join(X_42,X_42)) != join(X_42,join(X_42,X0))
    | join(X0,X_42) = join(X_42,join(X_42,X0)) ),
    inference(resolve,[$cnf( $equal(join(X_42,X_42),X_42) )],[refute_0_2934,refute_0_2935]) ).

cnf(refute_0_2937,plain,
    join(X0,X_42) = join(X_42,join(X_42,X0)),
    inference(resolve,[$cnf( $equal(join(X0,join(X_42,X_42)),join(X_42,join(X_42,X0))) )],[refute_0_2931,refute_0_2936]) ).

cnf(refute_0_2938,plain,
    ( join(X0,X_42) != join(X_42,join(X_42,X0))
    | join(X_42,join(X_42,X0)) = join(X0,X_42) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,X_42))),bind(Y,$fot(join(X_42,join(X_42,X0))))]]) ).

cnf(refute_0_2939,plain,
    join(X_42,join(X_42,X0)) = join(X0,X_42),
    inference(resolve,[$cnf( $equal(join(X0,X_42),join(X_42,join(X_42,X0))) )],[refute_0_2937,refute_0_2938]) ).

cnf(refute_0_2940,plain,
    join(X_9,join(X_9,X_5)) = join(X_5,X_9),
    inference(subst,[],[refute_0_2939:[bind(X0,$fot(X_5)),bind(X_42,$fot(X_9))]]) ).

cnf(refute_0_2941,plain,
    join(X_5,join(X_5,X_9)) = join(X_9,X_5),
    inference(subst,[],[refute_0_2939:[bind(X0,$fot(X_9)),bind(X_42,$fot(X_5))]]) ).

cnf(refute_0_2942,plain,
    join(X_9,join(X_5,join(X_5,X_9))) = join(X_9,join(X_5,join(X_5,X_9))),
    introduced(tautology,[refl,[$fot(join(X_9,join(X_5,join(X_5,X_9))))]]) ).

cnf(refute_0_2943,plain,
    ( join(X_5,join(X_5,X_9)) != join(X_9,X_5)
    | join(X_9,join(X_5,join(X_5,X_9))) != join(X_9,join(X_5,join(X_5,X_9)))
    | join(X_9,join(X_5,join(X_5,X_9))) = join(X_9,join(X_9,X_5)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_9,join(X_5,join(X_5,X_9))),join(X_9,join(X_5,join(X_5,X_9)))) ),[1,1],$fot(join(X_9,X_5))]]) ).

cnf(refute_0_2944,plain,
    ( join(X_5,join(X_5,X_9)) != join(X_9,X_5)
    | join(X_9,join(X_5,join(X_5,X_9))) = join(X_9,join(X_9,X_5)) ),
    inference(resolve,[$cnf( $equal(join(X_9,join(X_5,join(X_5,X_9))),join(X_9,join(X_5,join(X_5,X_9)))) )],[refute_0_2942,refute_0_2943]) ).

cnf(refute_0_2945,plain,
    join(X_9,join(X_5,join(X_5,X_9))) = join(X_9,join(X_9,X_5)),
    inference(resolve,[$cnf( $equal(join(X_5,join(X_5,X_9)),join(X_9,X_5)) )],[refute_0_2941,refute_0_2944]) ).

cnf(refute_0_2946,plain,
    ( join(X_9,join(X_5,join(X_5,X_9))) != join(X_9,join(X_9,X_5))
    | join(X_9,join(X_9,X_5)) != join(X_5,X_9)
    | join(X_9,join(X_5,join(X_5,X_9))) = join(X_5,X_9) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(X_9,join(X_5,join(X_5,X_9))))),bind(Y,$fot(join(X_9,join(X_9,X_5)))),bind(Z,$fot(join(X_5,X_9)))]]) ).

cnf(refute_0_2947,plain,
    ( join(X_9,join(X_9,X_5)) != join(X_5,X_9)
    | join(X_9,join(X_5,join(X_5,X_9))) = join(X_5,X_9) ),
    inference(resolve,[$cnf( $equal(join(X_9,join(X_5,join(X_5,X_9))),join(X_9,join(X_9,X_5))) )],[refute_0_2945,refute_0_2946]) ).

cnf(refute_0_2948,plain,
    join(X_9,join(X_5,join(X_5,X_9))) = join(X_5,X_9),
    inference(resolve,[$cnf( $equal(join(X_9,join(X_9,X_5)),join(X_5,X_9)) )],[refute_0_2940,refute_0_2947]) ).

cnf(refute_0_2949,plain,
    converse(join(X_9,join(X_5,join(X_5,X_9)))) = converse(join(X_9,join(X_5,join(X_5,X_9)))),
    introduced(tautology,[refl,[$fot(converse(join(X_9,join(X_5,join(X_5,X_9)))))]]) ).

cnf(refute_0_2950,plain,
    ( converse(join(X_9,join(X_5,join(X_5,X_9)))) != converse(join(X_9,join(X_5,join(X_5,X_9))))
    | join(X_9,join(X_5,join(X_5,X_9))) != join(X_5,X_9)
    | converse(join(X_9,join(X_5,join(X_5,X_9)))) = converse(join(X_5,X_9)) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(X_9,join(X_5,join(X_5,X_9)))),converse(join(X_9,join(X_5,join(X_5,X_9))))) ),[1,0],$fot(join(X_5,X_9))]]) ).

cnf(refute_0_2951,plain,
    ( join(X_9,join(X_5,join(X_5,X_9))) != join(X_5,X_9)
    | converse(join(X_9,join(X_5,join(X_5,X_9)))) = converse(join(X_5,X_9)) ),
    inference(resolve,[$cnf( $equal(converse(join(X_9,join(X_5,join(X_5,X_9)))),converse(join(X_9,join(X_5,join(X_5,X_9))))) )],[refute_0_2949,refute_0_2950]) ).

cnf(refute_0_2952,plain,
    converse(join(X_9,join(X_5,join(X_5,X_9)))) = converse(join(X_5,X_9)),
    inference(resolve,[$cnf( $equal(join(X_9,join(X_5,join(X_5,X_9))),join(X_5,X_9)) )],[refute_0_2948,refute_0_2951]) ).

cnf(refute_0_2953,plain,
    ( converse(join(X_9,X_5)) != converse(join(X_9,join(X_5,join(X_5,X_9))))
    | converse(join(X_9,join(X_5,join(X_5,X_9)))) != converse(join(X_5,X_9))
    | converse(join(X_9,X_5)) = converse(join(X_5,X_9)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_9,X_5)),converse(join(X_5,X_9))) ),[0],$fot(converse(join(X_9,join(X_5,join(X_5,X_9)))))]]) ).

cnf(refute_0_2954,plain,
    ( converse(join(X_9,X_5)) != converse(join(X_9,join(X_5,join(X_5,X_9))))
    | converse(join(X_9,X_5)) = converse(join(X_5,X_9)) ),
    inference(resolve,[$cnf( $equal(converse(join(X_9,join(X_5,join(X_5,X_9)))),converse(join(X_5,X_9))) )],[refute_0_2952,refute_0_2953]) ).

cnf(refute_0_2955,plain,
    converse(join(X_9,X_5)) = converse(join(X_5,X_9)),
    inference(resolve,[$cnf( $equal(converse(join(X_9,X_5)),converse(join(X_9,join(X_5,join(X_5,X_9))))) )],[refute_0_2930,refute_0_2954]) ).

cnf(refute_0_2956,plain,
    ( converse(join(X_9,X_5)) != converse(join(X_5,X_9))
    | converse(join(X_5,X_9)) = converse(join(X_9,X_5)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_9,X_5)))),bind(Y,$fot(converse(join(X_5,X_9))))]]) ).

cnf(refute_0_2957,plain,
    converse(join(X_5,X_9)) = converse(join(X_9,X_5)),
    inference(resolve,[$cnf( $equal(converse(join(X_9,X_5)),converse(join(X_5,X_9))) )],[refute_0_2955,refute_0_2956]) ).

cnf(refute_0_2958,plain,
    converse(join(complement(composition(top,complement(one))),zero)) = converse(join(zero,complement(composition(top,complement(one))))),
    inference(subst,[],[refute_0_2957:[bind(X_5,$fot(complement(composition(top,complement(one))))),bind(X_9,$fot(zero))]]) ).

cnf(refute_0_2959,plain,
    ( converse(join(complement(composition(top,complement(one))),zero)) != converse(join(zero,complement(composition(top,complement(one)))))
    | converse(join(zero,complement(composition(top,complement(one))))) != complement(composition(top,complement(one)))
    | converse(join(complement(composition(top,complement(one))),zero)) = complement(composition(top,complement(one))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(join(complement(composition(top,complement(one))),zero)))),bind(Y,$fot(converse(join(zero,complement(composition(top,complement(one))))))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_2960,plain,
    ( converse(join(zero,complement(composition(top,complement(one))))) != complement(composition(top,complement(one)))
    | converse(join(complement(composition(top,complement(one))),zero)) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,complement(one))),zero)),converse(join(zero,complement(composition(top,complement(one)))))) )],[refute_0_2958,refute_0_2959]) ).

cnf(refute_0_2961,plain,
    converse(join(complement(composition(top,complement(one))),zero)) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(converse(join(zero,complement(composition(top,complement(one))))),complement(composition(top,complement(one)))) )],[refute_0_2863,refute_0_2960]) ).

cnf(refute_0_2962,plain,
    ( converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) != converse(join(complement(composition(top,complement(one))),zero))
    | converse(join(complement(composition(top,complement(one))),zero)) != complement(composition(top,complement(one)))
    | converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) = complement(composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))),complement(composition(top,complement(one)))) ),[0],$fot(converse(join(complement(composition(top,complement(one))),zero)))]]) ).

cnf(refute_0_2963,plain,
    ( converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) != converse(join(complement(composition(top,complement(one))),zero))
    | converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,complement(one))),zero)),complement(composition(top,complement(one)))) )],[refute_0_2961,refute_0_2962]) ).

cnf(refute_0_2964,plain,
    converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))),converse(join(complement(composition(top,complement(one))),zero))) )],[refute_0_2855,refute_0_2963]) ).

cnf(refute_0_2965,plain,
    ( converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))) != complement(composition(top,complement(one)))
    | converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) != composition(top,converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))))
    | converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = composition(top,complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)),composition(top,converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))))) ),[1,1],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_2966,plain,
    ( converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) != composition(top,converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))))
    | converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = composition(top,complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))),complement(composition(top,complement(one)))) )],[refute_0_2964,refute_0_2965]) ).

cnf(refute_0_2967,plain,
    converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = composition(top,complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)),composition(top,converse(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one))))))) )],[refute_0_2466,refute_0_2966]) ).

cnf(refute_0_2968,plain,
    join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) = complement(composition(top,complement(one))),
    inference(subst,[],[refute_0_10:[bind(X0,$fot(complement(composition(top,complement(one))))),bind(X1,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_2969,plain,
    ( composition(complement(composition(top,complement(one))),composition(top,complement(one))) != zero
    | join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) != complement(composition(top,complement(one)))
    | join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = complement(composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))),complement(composition(top,complement(one)))) ),[0,1,1,0],$fot(zero)]]) ).

cnf(refute_0_2970,plain,
    ( join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) != complement(composition(top,complement(one)))
    | join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),composition(top,complement(one))),zero) )],[refute_0_2852,refute_0_2969]) ).

cnf(refute_0_2971,plain,
    join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))),complement(composition(top,complement(one)))) )],[refute_0_2968,refute_0_2970]) ).

cnf(refute_0_2972,plain,
    composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)),
    introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(one))),complement(zero)))]]) ).

cnf(refute_0_2973,plain,
    ( complement(zero) != top
    | composition(complement(composition(top,complement(one))),complement(zero)) != composition(complement(composition(top,complement(one))),complement(zero))
    | composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(zero)),composition(complement(composition(top,complement(one))),complement(zero))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2974,plain,
    ( complement(zero) != top
    | composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(zero)),composition(complement(composition(top,complement(one))),complement(zero))) )],[refute_0_2972,refute_0_2973]) ).

cnf(refute_0_2975,plain,
    composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),top),
    inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1330,refute_0_2974]) ).

cnf(refute_0_2976,plain,
    composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(converse(complement(composition(top,complement(one)))),complement(zero)),
    introduced(tautology,[refl,[$fot(composition(converse(complement(composition(top,complement(one)))),complement(zero)))]]) ).

cnf(refute_0_2977,plain,
    ( composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(converse(complement(composition(top,complement(one)))),complement(zero))
    | converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(converse(complement(composition(top,complement(one)))),complement(zero))) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_2978,plain,
    ( converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(converse(complement(composition(top,complement(one)))),complement(zero))) )],[refute_0_2976,refute_0_2977]) ).

cnf(refute_0_2979,plain,
    composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)),
    inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_2465,refute_0_2978]) ).

cnf(refute_0_2980,plain,
    ( composition(complement(composition(top,complement(one))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
    | composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(complement(composition(top,complement(one))),complement(zero))
    | composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(converse(complement(composition(top,complement(one)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(top,complement(one))),complement(zero)))),bind(Z,$fot(composition(complement(composition(top,complement(one))),top)))]]) ).

cnf(refute_0_2981,plain,
    ( composition(complement(composition(top,complement(one))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
    | composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(complement(composition(top,complement(one))),complement(zero))) )],[refute_0_2979,refute_0_2980]) ).

cnf(refute_0_2982,plain,
    composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),top),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(zero)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_2975,refute_0_2981]) ).

cnf(refute_0_2983,plain,
    join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),
    introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))))]]) ).

cnf(refute_0_2984,plain,
    ( composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
    | join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero)))
    | join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(top,complement(one))),top))]]) ).

cnf(refute_0_2985,plain,
    ( composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
    | join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero)))) )],[refute_0_2983,refute_0_2984]) ).

cnf(refute_0_2986,plain,
    join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),
    inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_2982,refute_0_2985]) ).

cnf(refute_0_2987,plain,
    ( join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != complement(composition(top,complement(one)))
    | join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top))
    | join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = complement(composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),complement(composition(top,complement(one)))) ),[0],$fot(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)))]]) ).

cnf(refute_0_2988,plain,
    ( join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != complement(composition(top,complement(one)))
    | join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top))) )],[refute_0_2986,refute_0_2987]) ).

cnf(refute_0_2989,plain,
    join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),complement(composition(top,complement(one)))) )],[refute_0_2971,refute_0_2988]) ).

cnf(refute_0_2990,plain,
    composition(complement(composition(top,complement(one))),join(one,top)) = composition(complement(composition(top,complement(one))),join(one,top)),
    introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(one))),join(one,top)))]]) ).

cnf(refute_0_2991,plain,
    ( composition(complement(composition(top,complement(one))),join(one,top)) != composition(complement(composition(top,complement(one))),join(one,top))
    | join(one,top) != top
    | composition(complement(composition(top,complement(one))),join(one,top)) = composition(complement(composition(top,complement(one))),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(one))),join(one,top)),composition(complement(composition(top,complement(one))),join(one,top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_2992,plain,
    ( join(one,top) != top
    | composition(complement(composition(top,complement(one))),join(one,top)) = composition(complement(composition(top,complement(one))),top) ),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),join(one,top)),composition(complement(composition(top,complement(one))),join(one,top))) )],[refute_0_2990,refute_0_2991]) ).

cnf(refute_0_2993,plain,
    composition(complement(composition(top,complement(one))),join(one,top)) = composition(complement(composition(top,complement(one))),top),
    inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1554,refute_0_2992]) ).

cnf(refute_0_2994,plain,
    join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),join(one,top)),
    inference(subst,[],[refute_0_2070:[bind(X_298,$fot(complement(composition(top,complement(one))))),bind(X_299,$fot(top))]]) ).

cnf(refute_0_2995,plain,
    ( composition(complement(composition(top,complement(one))),join(one,top)) != composition(complement(composition(top,complement(one))),top)
    | join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != composition(complement(composition(top,complement(one))),join(one,top))
    | join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),top) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)))),bind(Y,$fot(composition(complement(composition(top,complement(one))),join(one,top)))),bind(Z,$fot(composition(complement(composition(top,complement(one))),top)))]]) ).

cnf(refute_0_2996,plain,
    ( composition(complement(composition(top,complement(one))),join(one,top)) != composition(complement(composition(top,complement(one))),top)
    | join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),top) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),composition(complement(composition(top,complement(one))),join(one,top))) )],[refute_0_2994,refute_0_2995]) ).

cnf(refute_0_2997,plain,
    join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),top),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),join(one,top)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_2993,refute_0_2996]) ).

cnf(refute_0_2998,plain,
    ( join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != complement(composition(top,complement(one)))
    | join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != composition(complement(composition(top,complement(one))),top)
    | composition(complement(composition(top,complement(one))),top) = complement(composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),complement(composition(top,complement(one)))) ),[0],$fot(composition(complement(composition(top,complement(one))),top))]]) ).

cnf(refute_0_2999,plain,
    ( join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != complement(composition(top,complement(one)))
    | composition(complement(composition(top,complement(one))),top) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_2997,refute_0_2998]) ).

cnf(refute_0_3000,plain,
    composition(complement(composition(top,complement(one))),top) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),complement(composition(top,complement(one)))) )],[refute_0_2989,refute_0_2999]) ).

cnf(refute_0_3001,plain,
    composition(join(one,composition(top,complement(one))),top) = top,
    inference(subst,[],[refute_0_1395:[bind(X_6,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_3002,plain,
    composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)),
    introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)))]]) ).

cnf(refute_0_3003,plain,
    ( composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) != composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top))
    | composition(join(one,composition(top,complement(one))),top) != top
    | composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)),composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top))) ),[1,1],$fot(top)]]) ).

cnf(refute_0_3004,plain,
    ( composition(join(one,composition(top,complement(one))),top) != top
    | composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),top) ),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)),composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top))) )],[refute_0_3002,refute_0_3003]) ).

cnf(refute_0_3005,plain,
    composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),top),
    inference(resolve,[$cnf( $equal(composition(join(one,composition(top,complement(one))),top),top) )],[refute_0_3001,refute_0_3004]) ).

cnf(refute_0_3006,plain,
    ( composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) != composition(complement(composition(top,complement(one))),top)
    | composition(complement(composition(top,complement(one))),top) != complement(composition(top,complement(one)))
    | composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) = complement(composition(top,complement(one))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)))),bind(Y,$fot(composition(complement(composition(top,complement(one))),top))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_3007,plain,
    ( composition(complement(composition(top,complement(one))),top) != complement(composition(top,complement(one)))
    | composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_3005,refute_0_3006]) ).

cnf(refute_0_3008,plain,
    composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) )],[refute_0_3000,refute_0_3007]) ).

cnf(refute_0_3009,plain,
    composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top) = composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)),
    inference(subst,[],[refute_0_1552:[bind(X0,$fot(complement(composition(top,complement(one))))),bind(X1,$fot(join(one,composition(top,complement(one))))),bind(X2,$fot(top))]]) ).

cnf(refute_0_3010,plain,
    ( composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) != complement(composition(top,complement(one)))
    | composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top) != composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top))
    | composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top) = complement(composition(top,complement(one))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top))),bind(Y,$fot(composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_3011,plain,
    ( composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)) != complement(composition(top,complement(one)))
    | composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top),composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top))) )],[refute_0_3009,refute_0_3010]) ).

cnf(refute_0_3012,plain,
    composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),composition(join(one,composition(top,complement(one))),top)),complement(composition(top,complement(one)))) )],[refute_0_3008,refute_0_3011]) ).

cnf(refute_0_3013,plain,
    converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)),
    introduced(tautology,[refl,[$fot(converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)))]]) ).

cnf(refute_0_3014,plain,
    ( composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top) != complement(composition(top,complement(one)))
    | converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) != converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top))
    | converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = converse(complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)),converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top))) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_3015,plain,
    ( composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top) != complement(composition(top,complement(one)))
    | converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = converse(complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)),converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top))) )],[refute_0_3013,refute_0_3014]) ).

cnf(refute_0_3016,plain,
    converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = converse(complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top),complement(composition(top,complement(one)))) )],[refute_0_3012,refute_0_3015]) ).

cnf(refute_0_3017,plain,
    ( converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) != converse(complement(composition(top,complement(one))))
    | converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = complement(composition(top,complement(one))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)))),bind(Y,$fot(converse(complement(composition(top,complement(one)))))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_3018,plain,
    ( converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)),converse(complement(composition(top,complement(one))))) )],[refute_0_3016,refute_0_3017]) ).

cnf(refute_0_3019,plain,
    converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_2465,refute_0_3018]) ).

cnf(refute_0_3020,plain,
    ( converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) != complement(composition(top,complement(one)))
    | converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) != composition(top,complement(composition(top,complement(one))))
    | complement(composition(top,complement(one))) = composition(top,complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)),composition(top,complement(composition(top,complement(one))))) ),[0],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_3021,plain,
    ( converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)) != composition(top,complement(composition(top,complement(one))))
    | complement(composition(top,complement(one))) = composition(top,complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)),complement(composition(top,complement(one)))) )],[refute_0_3019,refute_0_3020]) ).

cnf(refute_0_3022,plain,
    complement(composition(top,complement(one))) = composition(top,complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,complement(one))),join(one,composition(top,complement(one)))),top)),composition(top,complement(composition(top,complement(one))))) )],[refute_0_2967,refute_0_3021]) ).

cnf(refute_0_3023,plain,
    ( complement(composition(top,complement(one))) != composition(top,complement(composition(top,complement(one))))
    | composition(top,complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(composition(top,complement(one))))),bind(Y,$fot(composition(top,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_3024,plain,
    composition(top,complement(composition(top,complement(one)))) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(complement(composition(top,complement(one))),composition(top,complement(composition(top,complement(one))))) )],[refute_0_3022,refute_0_3023]) ).

cnf(refute_0_3025,plain,
    converse(composition(top,complement(composition(top,complement(one))))) = converse(composition(top,complement(composition(top,complement(one))))),
    introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_3026,plain,
    ( composition(top,complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(composition(top,complement(composition(top,complement(one))))) != converse(composition(top,complement(composition(top,complement(one)))))
    | converse(composition(top,complement(composition(top,complement(one))))) = converse(complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(one))))),converse(composition(top,complement(composition(top,complement(one)))))) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_3027,plain,
    ( composition(top,complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(composition(top,complement(composition(top,complement(one))))) = converse(complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(one))))),converse(composition(top,complement(composition(top,complement(one)))))) )],[refute_0_3025,refute_0_3026]) ).

cnf(refute_0_3028,plain,
    converse(composition(top,complement(composition(top,complement(one))))) = converse(complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_3024,refute_0_3027]) ).

cnf(refute_0_3029,plain,
    ( converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(composition(top,complement(composition(top,complement(one))))) != converse(complement(composition(top,complement(one))))
    | converse(composition(top,complement(composition(top,complement(one))))) = complement(composition(top,complement(one))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(composition(top,complement(composition(top,complement(one))))))),bind(Y,$fot(converse(complement(composition(top,complement(one)))))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_3030,plain,
    ( converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | converse(composition(top,complement(composition(top,complement(one))))) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(one))))),converse(complement(composition(top,complement(one))))) )],[refute_0_3028,refute_0_3029]) ).

cnf(refute_0_3031,plain,
    converse(composition(top,complement(composition(top,complement(one))))) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_2465,refute_0_3030]) ).

cnf(refute_0_3032,plain,
    join(converse(composition(top,complement(composition(top,complement(one))))),X_125) = join(converse(composition(top,complement(composition(top,complement(one))))),X_125),
    introduced(tautology,[refl,[$fot(join(converse(composition(top,complement(composition(top,complement(one))))),X_125))]]) ).

cnf(refute_0_3033,plain,
    ( converse(composition(top,complement(composition(top,complement(one))))) != complement(composition(top,complement(one)))
    | join(converse(composition(top,complement(composition(top,complement(one))))),X_125) != join(converse(composition(top,complement(composition(top,complement(one))))),X_125)
    | join(converse(composition(top,complement(composition(top,complement(one))))),X_125) = join(complement(composition(top,complement(one))),X_125) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,complement(composition(top,complement(one))))),X_125),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_3034,plain,
    ( converse(composition(top,complement(composition(top,complement(one))))) != complement(composition(top,complement(one)))
    | join(converse(composition(top,complement(composition(top,complement(one))))),X_125) = join(complement(composition(top,complement(one))),X_125) ),
    inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(composition(top,complement(one))))),X_125),join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) )],[refute_0_3032,refute_0_3033]) ).

cnf(refute_0_3035,plain,
    join(converse(composition(top,complement(composition(top,complement(one))))),X_125) = join(complement(composition(top,complement(one))),X_125),
    inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(one))))),complement(composition(top,complement(one)))) )],[refute_0_3031,refute_0_3034]) ).

cnf(refute_0_3036,plain,
    join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) = join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),
    introduced(tautology,[refl,[$fot(join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)))]]) ).

cnf(refute_0_3037,plain,
    ( join(converse(composition(top,complement(composition(top,complement(one))))),X_125) != join(complement(composition(top,complement(one))),X_125)
    | join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) != join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) = join(one,join(complement(composition(top,complement(one))),X_125)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) ),[1,1],$fot(join(complement(composition(top,complement(one))),X_125))]]) ).

cnf(refute_0_3038,plain,
    ( join(converse(composition(top,complement(composition(top,complement(one))))),X_125) != join(complement(composition(top,complement(one))),X_125)
    | join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) = join(one,join(complement(composition(top,complement(one))),X_125)) ),
    inference(resolve,[$cnf( $equal(join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) )],[refute_0_3036,refute_0_3037]) ).

cnf(refute_0_3039,plain,
    join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) = join(one,join(complement(composition(top,complement(one))),X_125)),
    inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(composition(top,complement(one))))),X_125),join(complement(composition(top,complement(one))),X_125)) )],[refute_0_3035,refute_0_3038]) ).

cnf(refute_0_3040,plain,
    ( join(one,X_125) != join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)) != join(one,join(complement(composition(top,complement(one))),X_125))
    | join(one,X_125) = join(one,join(complement(composition(top,complement(one))),X_125)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(one,X_125),join(one,join(complement(composition(top,complement(one))),X_125))) ),[0],$fot(join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)))]]) ).

cnf(refute_0_3041,plain,
    ( join(one,X_125) != join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))
    | join(one,X_125) = join(one,join(complement(composition(top,complement(one))),X_125)) ),
    inference(resolve,[$cnf( $equal(join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125)),join(one,join(complement(composition(top,complement(one))),X_125))) )],[refute_0_3039,refute_0_3040]) ).

cnf(refute_0_3042,plain,
    join(one,X_125) = join(one,join(complement(composition(top,complement(one))),X_125)),
    inference(resolve,[$cnf( $equal(join(one,X_125),join(one,join(converse(composition(top,complement(composition(top,complement(one))))),X_125))) )],[refute_0_2454,refute_0_3041]) ).

cnf(refute_0_3043,plain,
    ( join(one,X_125) != join(one,join(complement(composition(top,complement(one))),X_125))
    | join(one,join(complement(composition(top,complement(one))),X_125)) = join(one,X_125) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,X_125))),bind(Y,$fot(join(one,join(complement(composition(top,complement(one))),X_125))))]]) ).

cnf(refute_0_3044,plain,
    join(one,join(complement(composition(top,complement(one))),X_125)) = join(one,X_125),
    inference(resolve,[$cnf( $equal(join(one,X_125),join(one,join(complement(composition(top,complement(one))),X_125))) )],[refute_0_3042,refute_0_3043]) ).

cnf(refute_0_3045,plain,
    join(one,join(complement(composition(top,complement(one))),X_41)) = join(one,X_41),
    inference(subst,[],[refute_0_3044:[bind(X_125,$fot(X_41))]]) ).

cnf(refute_0_3046,plain,
    complement(X_337) = join(complement(join(X_337,converse(join(one,complement(converse(join(one,X_337))))))),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))),
    inference(subst,[],[refute_0_430:[bind(X1,$fot(X_337)),bind(X_86,$fot(converse(join(one,complement(converse(join(one,X_337)))))))]]) ).

cnf(refute_0_3047,plain,
    converse(top) = join(X_36,converse(join(X_35,complement(join(converse(X_36),X_35))))),
    inference(subst,[],[refute_0_516:[bind(X0,$fot(X_35)),bind(X_5,$fot(X_36))]]) ).

cnf(refute_0_3048,plain,
    join(X_35,converse(X_36)) = join(converse(X_36),X_35),
    inference(subst,[],[refute_0_1:[bind(X0,$fot(X_35)),bind(X1,$fot(converse(X_36)))]]) ).

cnf(refute_0_3049,plain,
    ( join(X_35,converse(X_36)) != join(converse(X_36),X_35)
    | join(converse(X_36),X_35) = join(X_35,converse(X_36)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_35,converse(X_36)))),bind(Y,$fot(join(converse(X_36),X_35)))]]) ).

cnf(refute_0_3050,plain,
    join(converse(X_36),X_35) = join(X_35,converse(X_36)),
    inference(resolve,[$cnf( $equal(join(X_35,converse(X_36)),join(converse(X_36),X_35)) )],[refute_0_3048,refute_0_3049]) ).

cnf(refute_0_3051,plain,
    ( converse(top) != join(X_36,converse(join(X_35,complement(join(converse(X_36),X_35)))))
    | join(converse(X_36),X_35) != join(X_35,converse(X_36))
    | converse(top) = join(X_36,converse(join(X_35,complement(join(X_35,converse(X_36)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_36,converse(join(X_35,complement(join(converse(X_36),X_35)))))) ),[1,1,0,1,0],$fot(join(X_35,converse(X_36)))]]) ).

cnf(refute_0_3052,plain,
    ( converse(top) != join(X_36,converse(join(X_35,complement(join(converse(X_36),X_35)))))
    | converse(top) = join(X_36,converse(join(X_35,complement(join(X_35,converse(X_36)))))) ),
    inference(resolve,[$cnf( $equal(join(converse(X_36),X_35),join(X_35,converse(X_36))) )],[refute_0_3050,refute_0_3051]) ).

cnf(refute_0_3053,plain,
    converse(top) = join(X_36,converse(join(X_35,complement(join(X_35,converse(X_36)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_36,converse(join(X_35,complement(join(converse(X_36),X_35)))))) )],[refute_0_3047,refute_0_3052]) ).

cnf(refute_0_3054,plain,
    ( converse(top) != join(X_36,converse(join(X_35,complement(join(X_35,converse(X_36))))))
    | converse(top) != top
    | top = join(X_36,converse(join(X_35,complement(join(X_35,converse(X_36)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_36,converse(join(X_35,complement(join(X_35,converse(X_36))))))) ),[0],$fot(top)]]) ).

cnf(refute_0_3055,plain,
    ( converse(top) != join(X_36,converse(join(X_35,complement(join(X_35,converse(X_36))))))
    | top = join(X_36,converse(join(X_35,complement(join(X_35,converse(X_36)))))) ),
    inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_807,refute_0_3054]) ).

cnf(refute_0_3056,plain,
    top = join(X_36,converse(join(X_35,complement(join(X_35,converse(X_36)))))),
    inference(resolve,[$cnf( $equal(converse(top),join(X_36,converse(join(X_35,complement(join(X_35,converse(X_36))))))) )],[refute_0_3053,refute_0_3055]) ).

cnf(refute_0_3057,plain,
    top = join(X_117,converse(join(one,complement(join(one,converse(X_117)))))),
    inference(subst,[],[refute_0_3056:[bind(X_35,$fot(one)),bind(X_36,$fot(X_117))]]) ).

cnf(refute_0_3058,plain,
    converse(join(one,X_117)) = join(one,converse(X_117)),
    inference(subst,[],[refute_0_1338:[bind(X_6,$fot(X_117))]]) ).

cnf(refute_0_3059,plain,
    ( converse(join(one,X_117)) != join(one,converse(X_117))
    | join(one,converse(X_117)) = converse(join(one,X_117)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,X_117)))),bind(Y,$fot(join(one,converse(X_117))))]]) ).

cnf(refute_0_3060,plain,
    join(one,converse(X_117)) = converse(join(one,X_117)),
    inference(resolve,[$cnf( $equal(converse(join(one,X_117)),join(one,converse(X_117))) )],[refute_0_3058,refute_0_3059]) ).

cnf(refute_0_3061,plain,
    ( join(one,converse(X_117)) != converse(join(one,X_117))
    | top != join(X_117,converse(join(one,complement(join(one,converse(X_117))))))
    | top = join(X_117,converse(join(one,complement(converse(join(one,X_117)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(top,join(X_117,converse(join(one,complement(join(one,converse(X_117))))))) ),[1,1,0,1,0],$fot(converse(join(one,X_117)))]]) ).

cnf(refute_0_3062,plain,
    ( top != join(X_117,converse(join(one,complement(join(one,converse(X_117))))))
    | top = join(X_117,converse(join(one,complement(converse(join(one,X_117)))))) ),
    inference(resolve,[$cnf( $equal(join(one,converse(X_117)),converse(join(one,X_117))) )],[refute_0_3060,refute_0_3061]) ).

cnf(refute_0_3063,plain,
    top = join(X_117,converse(join(one,complement(converse(join(one,X_117)))))),
    inference(resolve,[$cnf( $equal(top,join(X_117,converse(join(one,complement(join(one,converse(X_117))))))) )],[refute_0_3057,refute_0_3062]) ).

cnf(refute_0_3064,plain,
    top = join(X_337,converse(join(one,complement(converse(join(one,X_337)))))),
    inference(subst,[],[refute_0_3063:[bind(X_117,$fot(X_337))]]) ).

cnf(refute_0_3065,plain,
    ( top != join(X_337,converse(join(one,complement(converse(join(one,X_337))))))
    | join(X_337,converse(join(one,complement(converse(join(one,X_337)))))) = top ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_337,converse(join(one,complement(converse(join(one,X_337))))))))]]) ).

cnf(refute_0_3066,plain,
    join(X_337,converse(join(one,complement(converse(join(one,X_337)))))) = top,
    inference(resolve,[$cnf( $equal(top,join(X_337,converse(join(one,complement(converse(join(one,X_337))))))) )],[refute_0_3064,refute_0_3065]) ).

cnf(refute_0_3067,plain,
    ( complement(X_337) != join(complement(join(X_337,converse(join(one,complement(converse(join(one,X_337))))))),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))
    | join(X_337,converse(join(one,complement(converse(join(one,X_337)))))) != top
    | complement(X_337) = join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(X_337),join(complement(join(X_337,converse(join(one,complement(converse(join(one,X_337))))))),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))) ),[1,0,0],$fot(top)]]) ).

cnf(refute_0_3068,plain,
    ( complement(X_337) != join(complement(join(X_337,converse(join(one,complement(converse(join(one,X_337))))))),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))
    | complement(X_337) = join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) ),
    inference(resolve,[$cnf( $equal(join(X_337,converse(join(one,complement(converse(join(one,X_337)))))),top) )],[refute_0_3066,refute_0_3067]) ).

cnf(refute_0_3069,plain,
    complement(X_337) = join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))),
    inference(resolve,[$cnf( $equal(complement(X_337),join(complement(join(X_337,converse(join(one,complement(converse(join(one,X_337))))))),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))) )],[refute_0_3046,refute_0_3068]) ).

cnf(refute_0_3070,plain,
    join(zero,meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) = meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))),
    inference(subst,[],[refute_0_322:[bind(X_87,$fot(meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))))]]) ).

cnf(refute_0_3071,plain,
    join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) = join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))),
    introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))))]]) ).

cnf(refute_0_3072,plain,
    ( complement(top) != zero
    | join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) != join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))
    | join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) = join(zero,meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))),join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))) ),[1,0],$fot(zero)]]) ).

cnf(refute_0_3073,plain,
    ( complement(top) != zero
    | join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) = join(zero,meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))),join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))) )],[refute_0_3071,refute_0_3072]) ).

cnf(refute_0_3074,plain,
    join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) = join(zero,meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))),
    inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_180,refute_0_3073]) ).

cnf(refute_0_3075,plain,
    ( join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) != join(zero,meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))
    | join(zero,meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) != meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))
    | join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) = meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))))),bind(Y,$fot(join(zero,meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))))),bind(Z,$fot(meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))))]]) ).

cnf(refute_0_3076,plain,
    ( join(zero,meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) != meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))
    | join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) = meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))),join(zero,meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))) )],[refute_0_3074,refute_0_3075]) ).

cnf(refute_0_3077,plain,
    join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) = meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))),
    inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) )],[refute_0_3070,refute_0_3076]) ).

cnf(refute_0_3078,plain,
    ( complement(X_337) != join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))
    | join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) != meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))
    | complement(X_337) = meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_337),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) ),[0],$fot(join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))))]]) ).

cnf(refute_0_3079,plain,
    ( complement(X_337) != join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))
    | complement(X_337) = meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))) ),
    inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337))))))) )],[refute_0_3077,refute_0_3078]) ).

cnf(refute_0_3080,plain,
    complement(X_337) = meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))),
    inference(resolve,[$cnf( $equal(complement(X_337),join(complement(top),meet(complement(X_337),converse(join(one,complement(converse(join(one,X_337)))))))) )],[refute_0_3069,refute_0_3079]) ).

cnf(refute_0_3081,plain,
    complement(composition(top,complement(one))) = meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(join(one,composition(top,complement(one)))))))),
    inference(subst,[],[refute_0_3080:[bind(X_337,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_3082,plain,
    join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(join(one,composition(top,complement(composition(top,complement(one))))))) = top,
    inference(subst,[],[refute_0_1424:[bind(X_123,$fot(one)),bind(X_124,$fot(composition(top,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_3083,plain,
    ( join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(join(one,composition(top,complement(composition(top,complement(one))))))) != top
    | join(one,composition(top,complement(composition(top,complement(one))))) != one
    | join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(join(one,composition(top,complement(composition(top,complement(one))))))),top) ),[0,1,0],$fot(one)]]) ).

cnf(refute_0_3084,plain,
    ( join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(join(one,composition(top,complement(composition(top,complement(one))))))) != top
    | join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) = top ),
    inference(resolve,[$cnf( $equal(join(one,composition(top,complement(composition(top,complement(one))))),one) )],[refute_0_2425,refute_0_3083]) ).

cnf(refute_0_3085,plain,
    join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) = top,
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(join(one,composition(top,complement(composition(top,complement(one))))))),top) )],[refute_0_3082,refute_0_3084]) ).

cnf(refute_0_3086,plain,
    join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))) = join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))),
    introduced(tautology,[refl,[$fot(join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))))]]) ).

cnf(refute_0_3087,plain,
    ( converse(one) != one
    | join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))) != join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one)))))))
    | join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))) = join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))),join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one)))))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_3088,plain,
    ( converse(one) != one
    | join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))) = join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))),join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one)))))))) )],[refute_0_3086,refute_0_3087]) ).

cnf(refute_0_3089,plain,
    join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))) = join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))),
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_99,refute_0_3088]) ).

cnf(refute_0_3090,plain,
    join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) = join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(converse(one))),bind(X1,$fot(complement(converse(composition(top,complement(composition(top,complement(one))))))))]]) ).

cnf(refute_0_3091,plain,
    ( join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) != join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one)))))))
    | join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))) != join(one,complement(converse(composition(top,complement(composition(top,complement(one)))))))
    | join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) = join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)))),bind(Y,$fot(join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))))),bind(Z,$fot(join(one,complement(converse(composition(top,complement(composition(top,complement(one)))))))))]]) ).

cnf(refute_0_3092,plain,
    ( join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))) != join(one,complement(converse(composition(top,complement(composition(top,complement(one)))))))
    | join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) = join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)),join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one)))))))) )],[refute_0_3090,refute_0_3091]) ).

cnf(refute_0_3093,plain,
    join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) = join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))),
    inference(resolve,[$cnf( $equal(join(converse(one),complement(converse(composition(top,complement(composition(top,complement(one))))))),join(one,complement(converse(composition(top,complement(composition(top,complement(one)))))))) )],[refute_0_3089,refute_0_3092]) ).

cnf(refute_0_3094,plain,
    ( join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) != join(one,complement(converse(composition(top,complement(composition(top,complement(one)))))))
    | join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) != top
    | join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)),top) ),[0],$fot(join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))))]]) ).

cnf(refute_0_3095,plain,
    ( join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)) != top
    | join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) = top ),
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)),join(one,complement(converse(composition(top,complement(composition(top,complement(one)))))))) )],[refute_0_3093,refute_0_3094]) ).

cnf(refute_0_3096,plain,
    join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) = top,
    inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,complement(composition(top,complement(one)))))),converse(one)),top) )],[refute_0_3085,refute_0_3095]) ).

cnf(refute_0_3097,plain,
    complement(converse(composition(top,complement(composition(top,complement(one)))))) = complement(converse(composition(top,complement(composition(top,complement(one)))))),
    introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(composition(top,complement(one)))))))]]) ).

cnf(refute_0_3098,plain,
    ( complement(converse(composition(top,complement(composition(top,complement(one)))))) != complement(converse(composition(top,complement(composition(top,complement(one))))))
    | converse(composition(top,complement(composition(top,complement(one))))) != complement(composition(top,complement(one)))
    | complement(converse(composition(top,complement(composition(top,complement(one)))))) = complement(complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,complement(one)))))),complement(converse(composition(top,complement(composition(top,complement(one))))))) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_3099,plain,
    ( converse(composition(top,complement(composition(top,complement(one))))) != complement(composition(top,complement(one)))
    | complement(converse(composition(top,complement(composition(top,complement(one)))))) = complement(complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,complement(one)))))),complement(converse(composition(top,complement(composition(top,complement(one))))))) )],[refute_0_3097,refute_0_3098]) ).

cnf(refute_0_3100,plain,
    complement(converse(composition(top,complement(composition(top,complement(one)))))) = complement(complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(one))))),complement(composition(top,complement(one)))) )],[refute_0_3031,refute_0_3099]) ).

cnf(refute_0_3101,plain,
    ( complement(complement(composition(top,complement(one)))) != composition(top,complement(one))
    | complement(converse(composition(top,complement(composition(top,complement(one)))))) != complement(complement(composition(top,complement(one))))
    | complement(converse(composition(top,complement(composition(top,complement(one)))))) = composition(top,complement(one)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(complement(converse(composition(top,complement(composition(top,complement(one)))))))),bind(Y,$fot(complement(complement(composition(top,complement(one)))))),bind(Z,$fot(composition(top,complement(one))))]]) ).

cnf(refute_0_3102,plain,
    ( complement(complement(composition(top,complement(one)))) != composition(top,complement(one))
    | complement(converse(composition(top,complement(composition(top,complement(one)))))) = composition(top,complement(one)) ),
    inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,complement(one)))))),complement(complement(composition(top,complement(one))))) )],[refute_0_3100,refute_0_3101]) ).

cnf(refute_0_3103,plain,
    complement(converse(composition(top,complement(composition(top,complement(one)))))) = composition(top,complement(one)),
    inference(resolve,[$cnf( $equal(complement(complement(composition(top,complement(one)))),composition(top,complement(one))) )],[refute_0_2778,refute_0_3102]) ).

cnf(refute_0_3104,plain,
    join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) = join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))),
    introduced(tautology,[refl,[$fot(join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))))]]) ).

cnf(refute_0_3105,plain,
    ( complement(converse(composition(top,complement(composition(top,complement(one)))))) != composition(top,complement(one))
    | join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) != join(one,complement(converse(composition(top,complement(composition(top,complement(one)))))))
    | join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) = join(one,composition(top,complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))),join(one,complement(converse(composition(top,complement(composition(top,complement(one)))))))) ),[1,1],$fot(composition(top,complement(one)))]]) ).

cnf(refute_0_3106,plain,
    ( complement(converse(composition(top,complement(composition(top,complement(one)))))) != composition(top,complement(one))
    | join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) = join(one,composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))),join(one,complement(converse(composition(top,complement(composition(top,complement(one)))))))) )],[refute_0_3104,refute_0_3105]) ).

cnf(refute_0_3107,plain,
    join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) = join(one,composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,complement(one)))))),composition(top,complement(one))) )],[refute_0_3103,refute_0_3106]) ).

cnf(refute_0_3108,plain,
    ( join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) != join(one,composition(top,complement(one)))
    | join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) != top
    | join(one,composition(top,complement(one))) = top ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))),top) ),[0],$fot(join(one,composition(top,complement(one))))]]) ).

cnf(refute_0_3109,plain,
    ( join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))) != top
    | join(one,composition(top,complement(one))) = top ),
    inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))),join(one,composition(top,complement(one)))) )],[refute_0_3107,refute_0_3108]) ).

cnf(refute_0_3110,plain,
    join(one,composition(top,complement(one))) = top,
    inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(top,complement(composition(top,complement(one))))))),top) )],[refute_0_3096,refute_0_3109]) ).

cnf(refute_0_3111,plain,
    ( complement(composition(top,complement(one))) != meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(join(one,composition(top,complement(one))))))))
    | join(one,composition(top,complement(one))) != top
    | complement(composition(top,complement(one))) = meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) ),
    introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,complement(one))),meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(join(one,composition(top,complement(one))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).

cnf(refute_0_3112,plain,
    ( complement(composition(top,complement(one))) != meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(join(one,composition(top,complement(one))))))))
    | complement(composition(top,complement(one))) = meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) ),
    inference(resolve,[$cnf( $equal(join(one,composition(top,complement(one))),top) )],[refute_0_3110,refute_0_3111]) ).

cnf(refute_0_3113,plain,
    complement(composition(top,complement(one))) = meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))),
    inference(resolve,[$cnf( $equal(complement(composition(top,complement(one))),meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(join(one,composition(top,complement(one))))))))) )],[refute_0_3081,refute_0_3112]) ).

cnf(refute_0_3114,plain,
    meet(complement(composition(top,complement(one))),one) = meet(one,complement(composition(top,complement(one)))),
    inference(subst,[],[refute_0_839:[bind(X_19,$fot(one)),bind(X_20,$fot(complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_3115,plain,
    join(one,zero) = one,
    inference(subst,[],[refute_0_1130:[bind(X_60,$fot(one))]]) ).

cnf(refute_0_3116,plain,
    join(one,complement(converse(top))) = join(one,complement(converse(top))),
    introduced(tautology,[refl,[$fot(join(one,complement(converse(top))))]]) ).

cnf(refute_0_3117,plain,
    ( complement(converse(top)) != zero
    | join(one,complement(converse(top))) != join(one,complement(converse(top)))
    | join(one,complement(converse(top))) = join(one,zero) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(top))),join(one,complement(converse(top)))) ),[1,1],$fot(zero)]]) ).

cnf(refute_0_3118,plain,
    ( complement(converse(top)) != zero
    | join(one,complement(converse(top))) = join(one,zero) ),
    inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),join(one,complement(converse(top)))) )],[refute_0_3116,refute_0_3117]) ).

cnf(refute_0_3119,plain,
    join(one,complement(converse(top))) = join(one,zero),
    inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1213,refute_0_3118]) ).

cnf(refute_0_3120,plain,
    ( join(one,complement(converse(top))) != join(one,zero)
    | join(one,zero) != one
    | join(one,complement(converse(top))) = one ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(one,complement(converse(top))))),bind(Y,$fot(join(one,zero))),bind(Z,$fot(one))]]) ).

cnf(refute_0_3121,plain,
    ( join(one,zero) != one
    | join(one,complement(converse(top))) = one ),
    inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),join(one,zero)) )],[refute_0_3119,refute_0_3120]) ).

cnf(refute_0_3122,plain,
    join(one,complement(converse(top))) = one,
    inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_3115,refute_0_3121]) ).

cnf(refute_0_3123,plain,
    converse(join(one,complement(converse(top)))) = converse(join(one,complement(converse(top)))),
    introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(top)))))]]) ).

cnf(refute_0_3124,plain,
    ( converse(join(one,complement(converse(top)))) != converse(join(one,complement(converse(top))))
    | join(one,complement(converse(top))) != one
    | converse(join(one,complement(converse(top)))) = converse(one) ),
    introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(join(one,complement(converse(top))))) ),[1,0],$fot(one)]]) ).

cnf(refute_0_3125,plain,
    ( join(one,complement(converse(top))) != one
    | converse(join(one,complement(converse(top)))) = converse(one) ),
    inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(join(one,complement(converse(top))))) )],[refute_0_3123,refute_0_3124]) ).

cnf(refute_0_3126,plain,
    converse(join(one,complement(converse(top)))) = converse(one),
    inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),one) )],[refute_0_3122,refute_0_3125]) ).

cnf(refute_0_3127,plain,
    ( converse(join(one,complement(converse(top)))) != converse(one)
    | converse(one) != one
    | converse(join(one,complement(converse(top)))) = one ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(converse(join(one,complement(converse(top)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).

cnf(refute_0_3128,plain,
    ( converse(one) != one
    | converse(join(one,complement(converse(top)))) = one ),
    inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(one)) )],[refute_0_3126,refute_0_3127]) ).

cnf(refute_0_3129,plain,
    converse(join(one,complement(converse(top)))) = one,
    inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_99,refute_0_3128]) ).

cnf(refute_0_3130,plain,
    meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) = meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))),
    introduced(tautology,[refl,[$fot(meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))))]]) ).

cnf(refute_0_3131,plain,
    ( converse(join(one,complement(converse(top)))) != one
    | meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) != meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top)))))
    | meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) = meet(complement(composition(top,complement(one))),one) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))),meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top)))))) ),[1,1],$fot(one)]]) ).

cnf(refute_0_3132,plain,
    ( converse(join(one,complement(converse(top)))) != one
    | meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) = meet(complement(composition(top,complement(one))),one) ),
    inference(resolve,[$cnf( $equal(meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))),meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top)))))) )],[refute_0_3130,refute_0_3131]) ).

cnf(refute_0_3133,plain,
    meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) = meet(complement(composition(top,complement(one))),one),
    inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_3129,refute_0_3132]) ).

cnf(refute_0_3134,plain,
    ( meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) != meet(complement(composition(top,complement(one))),one)
    | meet(complement(composition(top,complement(one))),one) != meet(one,complement(composition(top,complement(one))))
    | meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) = meet(one,complement(composition(top,complement(one)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(complement(composition(top,complement(one))),one))),bind(Z,$fot(meet(one,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_3135,plain,
    ( meet(complement(composition(top,complement(one))),one) != meet(one,complement(composition(top,complement(one))))
    | meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) = meet(one,complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))),meet(complement(composition(top,complement(one))),one)) )],[refute_0_3133,refute_0_3134]) ).

cnf(refute_0_3136,plain,
    meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) = meet(one,complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(meet(complement(composition(top,complement(one))),one),meet(one,complement(composition(top,complement(one))))) )],[refute_0_3114,refute_0_3135]) ).

cnf(refute_0_3137,plain,
    ( complement(composition(top,complement(one))) != meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top)))))
    | meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))) != meet(one,complement(composition(top,complement(one))))
    | complement(composition(top,complement(one))) = meet(one,complement(composition(top,complement(one)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,complement(one))),meet(one,complement(composition(top,complement(one))))) ),[0],$fot(meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))))]]) ).

cnf(refute_0_3138,plain,
    ( complement(composition(top,complement(one))) != meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top)))))
    | complement(composition(top,complement(one))) = meet(one,complement(composition(top,complement(one)))) ),
    inference(resolve,[$cnf( $equal(meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top))))),meet(one,complement(composition(top,complement(one))))) )],[refute_0_3136,refute_0_3137]) ).

cnf(refute_0_3139,plain,
    complement(composition(top,complement(one))) = meet(one,complement(composition(top,complement(one)))),
    inference(resolve,[$cnf( $equal(complement(composition(top,complement(one))),meet(complement(composition(top,complement(one))),converse(join(one,complement(converse(top)))))) )],[refute_0_3113,refute_0_3138]) ).

cnf(refute_0_3140,plain,
    ( complement(composition(top,complement(one))) != meet(one,complement(composition(top,complement(one))))
    | meet(one,complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(complement(composition(top,complement(one))))),bind(Y,$fot(meet(one,complement(composition(top,complement(one))))))]]) ).

cnf(refute_0_3141,plain,
    meet(one,complement(composition(top,complement(one)))) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(complement(composition(top,complement(one))),meet(one,complement(composition(top,complement(one))))) )],[refute_0_3139,refute_0_3140]) ).

cnf(refute_0_3142,plain,
    composition(meet(one,complement(composition(top,complement(one)))),top) = composition(meet(one,complement(composition(top,complement(one)))),top),
    introduced(tautology,[refl,[$fot(composition(meet(one,complement(composition(top,complement(one)))),top))]]) ).

cnf(refute_0_3143,plain,
    ( composition(meet(one,complement(composition(top,complement(one)))),top) != composition(meet(one,complement(composition(top,complement(one)))),top)
    | meet(one,complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | composition(meet(one,complement(composition(top,complement(one)))),top) = composition(complement(composition(top,complement(one))),top) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(composition(top,complement(one)))),top),composition(meet(one,complement(composition(top,complement(one)))),top)) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_3144,plain,
    ( meet(one,complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
    | composition(meet(one,complement(composition(top,complement(one)))),top) = composition(complement(composition(top,complement(one))),top) ),
    inference(resolve,[$cnf( $equal(composition(meet(one,complement(composition(top,complement(one)))),top),composition(meet(one,complement(composition(top,complement(one)))),top)) )],[refute_0_3142,refute_0_3143]) ).

cnf(refute_0_3145,plain,
    composition(meet(one,complement(composition(top,complement(one)))),top) = composition(complement(composition(top,complement(one))),top),
    inference(resolve,[$cnf( $equal(meet(one,complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_3141,refute_0_3144]) ).

cnf(refute_0_3146,plain,
    ( composition(complement(composition(top,complement(one))),top) != complement(composition(top,complement(one)))
    | composition(meet(one,complement(composition(top,complement(one)))),top) != composition(complement(composition(top,complement(one))),top)
    | composition(meet(one,complement(composition(top,complement(one)))),top) = complement(composition(top,complement(one))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(meet(one,complement(composition(top,complement(one)))),top))),bind(Y,$fot(composition(complement(composition(top,complement(one))),top))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).

cnf(refute_0_3147,plain,
    ( composition(complement(composition(top,complement(one))),top) != complement(composition(top,complement(one)))
    | composition(meet(one,complement(composition(top,complement(one)))),top) = complement(composition(top,complement(one))) ),
    inference(resolve,[$cnf( $equal(composition(meet(one,complement(composition(top,complement(one)))),top),composition(complement(composition(top,complement(one))),top)) )],[refute_0_3145,refute_0_3146]) ).

cnf(refute_0_3148,plain,
    composition(meet(one,complement(composition(top,complement(one)))),top) = complement(composition(top,complement(one))),
    inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) )],[refute_0_3000,refute_0_3147]) ).

cnf(refute_0_3149,plain,
    join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41) = join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41),
    introduced(tautology,[refl,[$fot(join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41))]]) ).

cnf(refute_0_3150,plain,
    ( composition(meet(one,complement(composition(top,complement(one)))),top) != complement(composition(top,complement(one)))
    | join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41) != join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)
    | join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41) = join(complement(composition(top,complement(one))),X_41) ),
    introduced(tautology,[equality,[$cnf( $equal(join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41),join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).

cnf(refute_0_3151,plain,
    ( composition(meet(one,complement(composition(top,complement(one)))),top) != complement(composition(top,complement(one)))
    | join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41) = join(complement(composition(top,complement(one))),X_41) ),
    inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41),join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) )],[refute_0_3149,refute_0_3150]) ).

cnf(refute_0_3152,plain,
    join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41) = join(complement(composition(top,complement(one))),X_41),
    inference(resolve,[$cnf( $equal(composition(meet(one,complement(composition(top,complement(one)))),top),complement(composition(top,complement(one)))) )],[refute_0_3148,refute_0_3151]) ).

cnf(refute_0_3153,plain,
    join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) = join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)),
    introduced(tautology,[refl,[$fot(join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)))]]) ).

cnf(refute_0_3154,plain,
    ( join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41) != join(complement(composition(top,complement(one))),X_41)
    | join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) != join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41))
    | join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) = join(one,join(complement(composition(top,complement(one))),X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)),join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41))) ),[1,1],$fot(join(complement(composition(top,complement(one))),X_41))]]) ).

cnf(refute_0_3155,plain,
    ( join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41) != join(complement(composition(top,complement(one))),X_41)
    | join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) = join(one,join(complement(composition(top,complement(one))),X_41)) ),
    inference(resolve,[$cnf( $equal(join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)),join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41))) )],[refute_0_3153,refute_0_3154]) ).

cnf(refute_0_3156,plain,
    join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) = join(one,join(complement(composition(top,complement(one))),X_41)),
    inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41),join(complement(composition(top,complement(one))),X_41)) )],[refute_0_3152,refute_0_3155]) ).

cnf(refute_0_3157,plain,
    ( join(one,join(complement(composition(top,complement(one))),X_41)) != join(one,X_41)
    | join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) != join(one,join(complement(composition(top,complement(one))),X_41))
    | join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) = join(one,X_41) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)))),bind(Y,$fot(join(one,join(complement(composition(top,complement(one))),X_41)))),bind(Z,$fot(join(one,X_41)))]]) ).

cnf(refute_0_3158,plain,
    ( join(one,join(complement(composition(top,complement(one))),X_41)) != join(one,X_41)
    | join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) = join(one,X_41) ),
    inference(resolve,[$cnf( $equal(join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)),join(one,join(complement(composition(top,complement(one))),X_41))) )],[refute_0_3156,refute_0_3157]) ).

cnf(refute_0_3159,plain,
    join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) = join(one,X_41),
    inference(resolve,[$cnf( $equal(join(one,join(complement(composition(top,complement(one))),X_41)),join(one,X_41)) )],[refute_0_3045,refute_0_3158]) ).

cnf(refute_0_3160,plain,
    ( join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) != join(X_41,one)
    | join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) != join(one,X_41)
    | join(one,X_41) = join(X_41,one) ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)),join(X_41,one)) ),[0],$fot(join(one,X_41))]]) ).

cnf(refute_0_3161,plain,
    ( join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)) != join(X_41,one)
    | join(one,X_41) = join(X_41,one) ),
    inference(resolve,[$cnf( $equal(join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)),join(one,X_41)) )],[refute_0_3159,refute_0_3160]) ).

cnf(refute_0_3162,plain,
    join(one,X_41) = join(X_41,one),
    inference(resolve,[$cnf( $equal(join(one,join(composition(meet(one,complement(composition(top,complement(one)))),top),X_41)),join(X_41,one)) )],[refute_0_2410,refute_0_3161]) ).

cnf(refute_0_3163,plain,
    ( join(one,X_41) != join(X_41,one)
    | join(X_41,one) = join(one,X_41) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,X_41))),bind(Y,$fot(join(X_41,one)))]]) ).

cnf(refute_0_3164,plain,
    join(X_41,one) = join(one,X_41),
    inference(resolve,[$cnf( $equal(join(one,X_41),join(X_41,one)) )],[refute_0_3162,refute_0_3163]) ).

cnf(refute_0_3165,plain,
    join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
    inference(subst,[],[refute_0_3164:[bind(X_41,$fot(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3166,plain,
    join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one),
    inference(subst,[],[refute_0_2939:[bind(X0,$fot(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),bind(X_42,$fot(one))]]) ).

cnf(refute_0_3167,plain,
    ( join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one)
    | join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))),bind(Y,$fot(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one))),bind(Z,$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_3168,plain,
    ( join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one)) )],[refute_0_3166,refute_0_3167]) ).

cnf(refute_0_3169,plain,
    join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_3165,refute_0_3168]) ).

cnf(refute_0_3170,plain,
    composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) = composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))),
    introduced(tautology,[refl,[$fot(composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))))]]) ).

cnf(refute_0_3171,plain,
    ( composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) != composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one))))
    | join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) = composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) ),
    introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))),composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one))))) ),[1,0],$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3172,plain,
    ( join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) = composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) ),
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))),composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one))))) )],[refute_0_3170,refute_0_3171]) ).

cnf(refute_0_3173,plain,
    composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) = composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))),
    inference(resolve,[$cnf( $equal(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_3169,refute_0_3172]) ).

cnf(refute_0_3174,plain,
    ( composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) != composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one)
    | composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) != composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))
    | composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) = composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))))),bind(Y,$fot(composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))))),bind(Z,$fot(composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one)))]]) ).

cnf(refute_0_3175,plain,
    ( composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) != composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one)
    | composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) = composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one) ),
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) )],[refute_0_3173,refute_0_3174]) ).

cnf(refute_0_3176,plain,
    composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) = composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),
    inference(resolve,[$cnf( $equal(composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one)) )],[refute_0_2321,refute_0_3175]) ).

cnf(refute_0_3177,plain,
    ( composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) != composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one)
    | composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))))),bind(Y,$fot(composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one))),bind(Z,$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_3178,plain,
    ( composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one)) )],[refute_0_3176,refute_0_3177]) ).

cnf(refute_0_3179,plain,
    composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_2310,refute_0_3178]) ).

cnf(refute_0_3180,plain,
    composition(join(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),complement(converse(complement(one)))) = composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))),
    inference(subst,[],[refute_0_1817:[bind(X0,$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),bind(X1,$fot(one)),bind(X2,$fot(complement(converse(complement(one)))))]]) ).

cnf(refute_0_3181,plain,
    join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = composition(join(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),complement(converse(complement(one)))),
    inference(subst,[],[refute_0_131:[bind(X_67,$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),bind(X_69,$fot(complement(converse(complement(one)))))]]) ).

cnf(refute_0_3182,plain,
    ( composition(join(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),complement(converse(complement(one)))) != composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one))))
    | join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != composition(join(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),complement(converse(complement(one))))
    | join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),bind(Y,$fot(composition(join(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),complement(converse(complement(one)))))),bind(Z,$fot(composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one))))))]]) ).

cnf(refute_0_3183,plain,
    ( composition(join(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),complement(converse(complement(one)))) != composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one))))
    | join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))),composition(join(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),complement(converse(complement(one))))) )],[refute_0_3181,refute_0_3182]) ).

cnf(refute_0_3184,plain,
    join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))),
    inference(resolve,[$cnf( $equal(composition(join(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one),complement(converse(complement(one)))),composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one))))) )],[refute_0_3180,refute_0_3183]) ).

cnf(refute_0_3185,plain,
    ( composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one))))
    | join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
    inference(subst,[],[refute_0_172:[bind(X,$fot(join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),bind(Y,$fot(composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))))),bind(Z,$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).

cnf(refute_0_3186,plain,
    ( composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))),composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one))))) )],[refute_0_3184,refute_0_3185]) ).

cnf(refute_0_3187,plain,
    join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
    inference(resolve,[$cnf( $equal(composition(join(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(converse(complement(one)))),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_3179,refute_0_3186]) ).

cnf(refute_0_3188,plain,
    ( join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != complement(converse(complement(one)))
    | join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = complement(converse(complement(one))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))),complement(converse(complement(one)))) ),[0],$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3189,plain,
    ( join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != complement(converse(complement(one)))
    | join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = complement(converse(complement(one))) ),
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_3187,refute_0_3188]) ).

cnf(refute_0_3190,plain,
    ( complement(converse(complement(one))) != one
    | join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != complement(converse(complement(one)))
    | join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = one ),
    introduced(tautology,[equality,[$cnf( $equal(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) ),[1],$fot(one)]]) ).

cnf(refute_0_3191,plain,
    ( join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != complement(converse(complement(one)))
    | join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = one ),
    inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_2317,refute_0_3190]) ).

cnf(refute_0_3192,plain,
    ( join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != complement(converse(complement(one)))
    | join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = one ),
    inference(resolve,[$cnf( $equal(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one)))) )],[refute_0_3189,refute_0_3191]) ).

cnf(refute_0_3193,plain,
    join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = one,
    inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(converse(complement(one))))),complement(converse(complement(one)))) )],[refute_0_2309,refute_0_3192]) ).

cnf(refute_0_3194,plain,
    join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) != one,
    inference(canonicalize,[],[normalize_0_30]) ).

cnf(refute_0_3195,plain,
    ( join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
    | join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != one
    | join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) = one ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one),one) ),[0],$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).

cnf(refute_0_3196,plain,
    ( join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != one
    | join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) = one ),
    inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_3165,refute_0_3195]) ).

cnf(refute_0_3197,plain,
    join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != one,
    inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one),one) )],[refute_0_3196,refute_0_3194]) ).

cnf(refute_0_3198,plain,
    $false,
    inference(resolve,[$cnf( $equal(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one) )],[refute_0_3193,refute_0_3197]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : REL042+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n012.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 12:21:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 29.53/29.70  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.53/29.70  
% 29.53/29.70  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 29.97/30.16  
%------------------------------------------------------------------------------