%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LAT010-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 05:58:52 EDT 2022

% Result   : Unsatisfiable 16.35s 16.53s
% Output   : CNFRefutation 16.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  136
%            Number of leaves      :  411
% Syntax   : Number of clauses     : 1887 ( 960 unt;   0 nHn; 953 RR)
%            Number of literals    : 3224 (3223 equ;1340 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   : 5891 ( 199 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
    meet(X,X) = X ).

cnf(idempotence_of_join,axiom,
    join(X,X) = X ).

cnf(absorption1,axiom,
    meet(X,join(X,Y)) = X ).

cnf(absorption2,axiom,
    join(X,meet(X,Y)) = X ).

cnf(commutativity_of_meet,axiom,
    meet(X,Y) = meet(Y,X) ).

cnf(commutativity_of_join,axiom,
    join(X,Y) = join(Y,X) ).

cnf(associativity_of_meet,axiom,
    meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ).

cnf(associativity_of_join,axiom,
    join(join(X,Y),Z) = join(X,join(Y,Z)) ).

cnf(nr_3,hypothesis,
    meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) = join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z))) ).

cnf(prove_this,negated_conjecture,
    meet(a,meet(join(b,c),join(b,d))) != meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) ).

cnf(refute_0_0,plain,
    join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d)))) = join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(a,c))),bind(Y,$fot(meet(a,d))),bind(Z,$fot(meet(a,join(b,meet(c,d)))))]]) ).

cnf(refute_0_1,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_2,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_3,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( join(X,Y) != join(Y,X)
    | join(Y,X) = join(X,Y) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X,Y))),bind(Y0,$fot(join(Y,X)))]]) ).

cnf(refute_0_5,plain,
    join(Y,X) = join(X,Y),
    inference(resolve,[$cnf( $equal(join(X,Y),join(Y,X)) )],[commutativity_of_join,refute_0_4]) ).

cnf(refute_0_6,plain,
    join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))) = join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d)))),
    inference(subst,[],[refute_0_5:[bind(X,$fot(join(meet(a,c),meet(a,d)))),bind(Y,$fot(meet(a,join(b,meet(c,d)))))]]) ).

cnf(refute_0_7,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_8,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_3,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d)))) != join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))
    | join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))) != join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d))))
    | join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))) = join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),bind(Y0,$fot(join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d)))))),bind(Z0,$fot(join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))]]) ).

cnf(refute_0_10,plain,
    ( join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d)))) != join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))
    | join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))) = join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))),join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d))))) )],[refute_0_6,refute_0_9]) ).

cnf(refute_0_11,plain,
    join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))) = join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))),
    inference(resolve,[$cnf( $equal(join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d)))),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) )],[refute_0_0,refute_0_10]) ).

cnf(refute_0_12,plain,
    meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
    introduced(tautology,[refl,[$fot(meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))]]) ).

cnf(refute_0_13,plain,
    ( join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))) != join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))
    | meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))
    | meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) ),[1,1],$fot(join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))]]) ).

cnf(refute_0_14,plain,
    ( join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))) != join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))
    | meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) ),
    inference(resolve,[$cnf( $equal(meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))),
    inference(resolve,[$cnf( $equal(join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) )],[refute_0_11,refute_0_14]) ).

cnf(refute_0_16,plain,
    meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) = meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),
    introduced(tautology,[refl,[$fot(meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))))]]) ).

cnf(refute_0_17,plain,
    ( meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) != meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))
    | meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))
    | meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) = meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) ),[1,1],$fot(meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))]]) ).

cnf(refute_0_18,plain,
    ( meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))
    | meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) = meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) ),
    inference(resolve,[$cnf( $equal(meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) = meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))),
    inference(resolve,[$cnf( $equal(meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) )],[refute_0_15,refute_0_18]) ).

cnf(refute_0_20,plain,
    meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(join(b,c))),bind(Y,$fot(join(b,d))),bind(Z,$fot(join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))]]) ).

cnf(refute_0_21,plain,
    ( meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) != meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))
    | meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))
    | meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))),bind(Y0,$fot(meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))))),bind(Z0,$fot(meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))))]]) ).

cnf(refute_0_22,plain,
    ( meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) != meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))
    | meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))),
    inference(resolve,[$cnf( $equal(meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) )],[refute_0_19,refute_0_22]) ).

cnf(refute_0_24,plain,
    meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) = meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),
    introduced(tautology,[refl,[$fot(meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))))]]) ).

cnf(refute_0_25,plain,
    ( meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) != meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))
    | meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))
    | meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) = meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) ),[1,1],$fot(meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))]]) ).

cnf(refute_0_26,plain,
    ( meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))
    | meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) = meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) = meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))),
    inference(resolve,[$cnf( $equal(meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) )],[refute_0_23,refute_0_26]) ).

cnf(refute_0_28,plain,
    meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(meet(join(b,c),join(b,d)))),bind(Z,$fot(join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))]]) ).

cnf(refute_0_29,plain,
    ( meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))
    | meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))
    | meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))),bind(Y0,$fot(meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))))),bind(Z0,$fot(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))))]]) ).

cnf(refute_0_30,plain,
    ( meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))
    | meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) )],[refute_0_28,refute_0_29]) ).

cnf(refute_0_31,plain,
    meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))),
    inference(resolve,[$cnf( $equal(meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))) )],[refute_0_27,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))
    | meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))
    | meet(a,meet(join(b,c),join(b,d))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(a,meet(join(b,c),join(b,d))),meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) ),[1],$fot(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))))]]) ).

cnf(refute_0_33,plain,
    ( meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))
    | meet(a,meet(join(b,c),join(b,d))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))),
    inference(resolve,[$cnf( $equal(meet(a,meet(join(b,c),join(b,d))),meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) )],[refute_0_33,prove_this]) ).

cnf(refute_0_35,plain,
    ( join(X,Y) != join(Y,X)
    | meet(X,join(X,Y)) != X
    | meet(X,join(Y,X)) = X ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,join(X,Y)),X) ),[0,1],$fot(join(Y,X))]]) ).

cnf(refute_0_36,plain,
    ( meet(X,join(X,Y)) != X
    | meet(X,join(Y,X)) = X ),
    inference(resolve,[$cnf( $equal(join(X,Y),join(Y,X)) )],[commutativity_of_join,refute_0_35]) ).

cnf(refute_0_37,plain,
    meet(X,join(Y,X)) = X,
    inference(resolve,[$cnf( $equal(meet(X,join(X,Y)),X) )],[absorption1,refute_0_36]) ).

cnf(refute_0_38,plain,
    meet(meet(Y,X_11),join(Y,meet(Y,X_11))) = meet(Y,X_11),
    inference(subst,[],[refute_0_37:[bind(X,$fot(meet(Y,X_11)))]]) ).

cnf(refute_0_39,plain,
    join(Y,meet(Y,X_11)) = Y,
    inference(subst,[],[absorption2:[bind(X,$fot(Y)),bind(Y,$fot(X_11))]]) ).

cnf(refute_0_40,plain,
    ( join(Y,meet(Y,X_11)) != Y
    | meet(meet(Y,X_11),join(Y,meet(Y,X_11))) != meet(Y,X_11)
    | meet(meet(Y,X_11),Y) = meet(Y,X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(Y,X_11),join(Y,meet(Y,X_11))),meet(Y,X_11)) ),[0,1],$fot(Y)]]) ).

cnf(refute_0_41,plain,
    ( meet(meet(Y,X_11),join(Y,meet(Y,X_11))) != meet(Y,X_11)
    | meet(meet(Y,X_11),Y) = meet(Y,X_11) ),
    inference(resolve,[$cnf( $equal(join(Y,meet(Y,X_11)),Y) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    meet(meet(Y,X_11),Y) = meet(Y,X_11),
    inference(resolve,[$cnf( $equal(meet(meet(Y,X_11),join(Y,meet(Y,X_11))),meet(Y,X_11)) )],[refute_0_38,refute_0_41]) ).

cnf(refute_0_43,plain,
    meet(meet(Y,X_11),Y) = meet(Y,meet(X_11,Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(Y)),bind(Y,$fot(X_11)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_44,plain,
    ( meet(meet(Y,X_11),Y) != meet(Y,X_11)
    | meet(meet(Y,X_11),Y) != meet(Y,meet(X_11,Y))
    | meet(Y,meet(X_11,Y)) = meet(Y,X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(Y,X_11),Y),meet(Y,X_11)) ),[0],$fot(meet(Y,meet(X_11,Y)))]]) ).

cnf(refute_0_45,plain,
    ( meet(meet(Y,X_11),Y) != meet(Y,X_11)
    | meet(Y,meet(X_11,Y)) = meet(Y,X_11) ),
    inference(resolve,[$cnf( $equal(meet(meet(Y,X_11),Y),meet(Y,meet(X_11,Y))) )],[refute_0_43,refute_0_44]) ).

cnf(refute_0_46,plain,
    meet(Y,meet(X_11,Y)) = meet(Y,X_11),
    inference(resolve,[$cnf( $equal(meet(meet(Y,X_11),Y),meet(Y,X_11)) )],[refute_0_42,refute_0_45]) ).

cnf(refute_0_47,plain,
    meet(X_14,meet(X_15,X_14)) = meet(X_14,X_15),
    inference(subst,[],[refute_0_46:[bind(Y,$fot(X_14)),bind(X_11,$fot(X_15))]]) ).

cnf(refute_0_48,plain,
    meet(X_14,X_15) = meet(X_15,X_14),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_14)),bind(Y,$fot(X_15))]]) ).

cnf(refute_0_49,plain,
    ( meet(X_14,X_15) != meet(X_15,X_14)
    | meet(X_15,X_14) = meet(X_14,X_15) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_14,X_15))),bind(Y0,$fot(meet(X_15,X_14)))]]) ).

cnf(refute_0_50,plain,
    meet(X_15,X_14) = meet(X_14,X_15),
    inference(resolve,[$cnf( $equal(meet(X_14,X_15),meet(X_15,X_14)) )],[refute_0_48,refute_0_49]) ).

cnf(refute_0_51,plain,
    ( meet(X_14,meet(X_15,X_14)) != meet(X_14,X_15)
    | meet(X_15,X_14) != meet(X_14,X_15)
    | meet(X_14,meet(X_14,X_15)) = meet(X_14,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_14,meet(X_15,X_14)),meet(X_14,X_15)) ),[0,1],$fot(meet(X_14,X_15))]]) ).

cnf(refute_0_52,plain,
    ( meet(X_14,meet(X_15,X_14)) != meet(X_14,X_15)
    | meet(X_14,meet(X_14,X_15)) = meet(X_14,X_15) ),
    inference(resolve,[$cnf( $equal(meet(X_15,X_14),meet(X_14,X_15)) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    meet(X_14,meet(X_14,X_15)) = meet(X_14,X_15),
    inference(resolve,[$cnf( $equal(meet(X_14,meet(X_15,X_14)),meet(X_14,X_15)) )],[refute_0_47,refute_0_52]) ).

cnf(refute_0_54,plain,
    meet(a,meet(a,meet(join(b,c),join(b,d)))) = meet(a,meet(join(b,c),join(b,d))),
    inference(subst,[],[refute_0_53:[bind(X_14,$fot(a)),bind(X_15,$fot(meet(join(b,c),join(b,d))))]]) ).

cnf(refute_0_55,plain,
    join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z))) = join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z)))),
    inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X,join(Y,Z)))),bind(Y,$fot(meet(Z,join(X,meet(Y,Z)))))]]) ).

cnf(refute_0_56,plain,
    ( join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z))) != join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z))))
    | meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) != join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z)))
    | meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) = join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))),join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z)))) ),[1],$fot(join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z)))))]]) ).

cnf(refute_0_57,plain,
    ( meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) != join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z)))
    | meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) = join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z)))) ),
    inference(resolve,[$cnf( $equal(join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z))),join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z))))) )],[refute_0_55,refute_0_56]) ).

cnf(refute_0_58,plain,
    meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) = join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z)))),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))),join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z)))) )],[nr_3,refute_0_57]) ).

cnf(refute_0_59,plain,
    meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,meet(X_11,X_40))))),
    inference(subst,[],[refute_0_58:[bind(X,$fot(X_39)),bind(Y,$fot(X_40)),bind(Z,$fot(meet(X_11,X_40)))]]) ).

cnf(refute_0_60,plain,
    meet(X_40,meet(X_11,X_40)) = meet(X_40,X_11),
    inference(subst,[],[refute_0_46:[bind(Y,$fot(X_40))]]) ).

cnf(refute_0_61,plain,
    ( meet(X_40,meet(X_11,X_40)) != meet(X_40,X_11)
    | meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,meet(X_11,X_40)))))
    | meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,meet(X_11,X_40)))))) ),[1,1,1,1],$fot(meet(X_40,X_11))]]) ).

cnf(refute_0_62,plain,
    ( meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,meet(X_11,X_40)))))
    | meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) ),
    inference(resolve,[$cnf( $equal(meet(X_40,meet(X_11,X_40)),meet(X_40,X_11)) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,meet(X_11,X_40)))))) )],[refute_0_59,refute_0_62]) ).

cnf(refute_0_64,plain,
    join(X_39,meet(X_40,meet(X_11,X_40))) = join(X_39,meet(X_40,meet(X_11,X_40))),
    introduced(tautology,[refl,[$fot(join(X_39,meet(X_40,meet(X_11,X_40))))]]) ).

cnf(refute_0_65,plain,
    ( join(X_39,meet(X_40,meet(X_11,X_40))) != join(X_39,meet(X_40,meet(X_11,X_40)))
    | meet(X_40,meet(X_11,X_40)) != meet(X_40,X_11)
    | join(X_39,meet(X_40,meet(X_11,X_40))) = join(X_39,meet(X_40,X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_39,meet(X_40,meet(X_11,X_40))),join(X_39,meet(X_40,meet(X_11,X_40)))) ),[1,1],$fot(meet(X_40,X_11))]]) ).

cnf(refute_0_66,plain,
    ( meet(X_40,meet(X_11,X_40)) != meet(X_40,X_11)
    | join(X_39,meet(X_40,meet(X_11,X_40))) = join(X_39,meet(X_40,X_11)) ),
    inference(resolve,[$cnf( $equal(join(X_39,meet(X_40,meet(X_11,X_40))),join(X_39,meet(X_40,meet(X_11,X_40)))) )],[refute_0_64,refute_0_65]) ).

cnf(refute_0_67,plain,
    join(X_39,meet(X_40,meet(X_11,X_40))) = join(X_39,meet(X_40,X_11)),
    inference(resolve,[$cnf( $equal(meet(X_40,meet(X_11,X_40)),meet(X_40,X_11)) )],[refute_0_60,refute_0_66]) ).

cnf(refute_0_68,plain,
    meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) = meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))),
    introduced(tautology,[refl,[$fot(meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))))]]) ).

cnf(refute_0_69,plain,
    ( join(X_39,meet(X_40,meet(X_11,X_40))) != join(X_39,meet(X_40,X_11))
    | meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) != meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40)))
    | meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) = meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))),meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40)))) ),[1,0],$fot(join(X_39,meet(X_40,X_11)))]]) ).

cnf(refute_0_70,plain,
    ( join(X_39,meet(X_40,meet(X_11,X_40))) != join(X_39,meet(X_40,X_11))
    | meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) = meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))),meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40)))) )],[refute_0_68,refute_0_69]) ).

cnf(refute_0_71,plain,
    meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) = meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))),
    inference(resolve,[$cnf( $equal(join(X_39,meet(X_40,meet(X_11,X_40))),join(X_39,meet(X_40,X_11))) )],[refute_0_67,refute_0_70]) ).

cnf(refute_0_72,plain,
    ( meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))
    | meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) != meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40)))
    | meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))) ),[0],$fot(meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))))]]) ).

cnf(refute_0_73,plain,
    ( meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))
    | meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))),meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40)))) )],[refute_0_71,refute_0_72]) ).

cnf(refute_0_74,plain,
    meet(X,join(join(X_19,X_20),X)) = X,
    inference(subst,[],[refute_0_37:[bind(Y,$fot(join(X_19,X_20)))]]) ).

cnf(refute_0_75,plain,
    join(join(X_19,X_20),X) = join(X_19,join(X_20,X)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_19)),bind(Y,$fot(X_20)),bind(Z,$fot(X))]]) ).

cnf(refute_0_76,plain,
    ( join(join(X_19,X_20),X) != join(X_19,join(X_20,X))
    | meet(X,join(join(X_19,X_20),X)) != X
    | meet(X,join(X_19,join(X_20,X))) = X ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,join(join(X_19,X_20),X)),X) ),[0,1],$fot(join(X_19,join(X_20,X)))]]) ).

cnf(refute_0_77,plain,
    ( meet(X,join(join(X_19,X_20),X)) != X
    | meet(X,join(X_19,join(X_20,X))) = X ),
    inference(resolve,[$cnf( $equal(join(join(X_19,X_20),X),join(X_19,join(X_20,X))) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    meet(X,join(X_19,join(X_20,X))) = X,
    inference(resolve,[$cnf( $equal(meet(X,join(join(X_19,X_20),X)),X) )],[refute_0_74,refute_0_77]) ).

cnf(refute_0_79,plain,
    meet(meet(X_34,X_35),join(X_19,join(meet(X_35,X_34),meet(X_34,X_35)))) = meet(X_34,X_35),
    inference(subst,[],[refute_0_78:[bind(X,$fot(meet(X_34,X_35))),bind(X_20,$fot(meet(X_35,X_34)))]]) ).

cnf(refute_0_80,plain,
    join(X_10,meet(X_10,X_11)) = X_10,
    inference(subst,[],[absorption2:[bind(X,$fot(X_10)),bind(Y,$fot(X_11))]]) ).

cnf(refute_0_81,plain,
    meet(X_11,X_10) = meet(X_10,X_11),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_11)),bind(Y,$fot(X_10))]]) ).

cnf(refute_0_82,plain,
    ( meet(X_11,X_10) != meet(X_10,X_11)
    | meet(X_10,X_11) = meet(X_11,X_10) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_11,X_10))),bind(Y0,$fot(meet(X_10,X_11)))]]) ).

cnf(refute_0_83,plain,
    meet(X_10,X_11) = meet(X_11,X_10),
    inference(resolve,[$cnf( $equal(meet(X_11,X_10),meet(X_10,X_11)) )],[refute_0_81,refute_0_82]) ).

cnf(refute_0_84,plain,
    ( join(X_10,meet(X_10,X_11)) != X_10
    | meet(X_10,X_11) != meet(X_11,X_10)
    | join(X_10,meet(X_11,X_10)) = X_10 ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_10,meet(X_10,X_11)),X_10) ),[0,1],$fot(meet(X_11,X_10))]]) ).

cnf(refute_0_85,plain,
    ( join(X_10,meet(X_10,X_11)) != X_10
    | join(X_10,meet(X_11,X_10)) = X_10 ),
    inference(resolve,[$cnf( $equal(meet(X_10,X_11),meet(X_11,X_10)) )],[refute_0_83,refute_0_84]) ).

cnf(refute_0_86,plain,
    join(X_10,meet(X_11,X_10)) = X_10,
    inference(resolve,[$cnf( $equal(join(X_10,meet(X_10,X_11)),X_10) )],[refute_0_80,refute_0_85]) ).

cnf(refute_0_87,plain,
    join(meet(X_15,X_11),meet(X_11,meet(X_15,X_11))) = meet(X_15,X_11),
    inference(subst,[],[refute_0_86:[bind(X_10,$fot(meet(X_15,X_11)))]]) ).

cnf(refute_0_88,plain,
    meet(X_11,meet(X_15,X_11)) = meet(X_11,X_15),
    inference(subst,[],[refute_0_46:[bind(Y,$fot(X_11)),bind(X_11,$fot(X_15))]]) ).

cnf(refute_0_89,plain,
    ( join(meet(X_15,X_11),meet(X_11,meet(X_15,X_11))) != meet(X_15,X_11)
    | meet(X_11,meet(X_15,X_11)) != meet(X_11,X_15)
    | join(meet(X_15,X_11),meet(X_11,X_15)) = meet(X_15,X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_15,X_11),meet(X_11,meet(X_15,X_11))),meet(X_15,X_11)) ),[0,1],$fot(meet(X_11,X_15))]]) ).

cnf(refute_0_90,plain,
    ( join(meet(X_15,X_11),meet(X_11,meet(X_15,X_11))) != meet(X_15,X_11)
    | join(meet(X_15,X_11),meet(X_11,X_15)) = meet(X_15,X_11) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_15,X_11)),meet(X_11,X_15)) )],[refute_0_88,refute_0_89]) ).

cnf(refute_0_91,plain,
    join(meet(X_15,X_11),meet(X_11,X_15)) = meet(X_15,X_11),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_11),meet(X_11,meet(X_15,X_11))),meet(X_15,X_11)) )],[refute_0_87,refute_0_90]) ).

cnf(refute_0_92,plain,
    join(meet(X_35,X_34),meet(X_34,X_35)) = meet(X_35,X_34),
    inference(subst,[],[refute_0_91:[bind(X_11,$fot(X_34)),bind(X_15,$fot(X_35))]]) ).

cnf(refute_0_93,plain,
    ( join(meet(X_35,X_34),meet(X_34,X_35)) != meet(X_35,X_34)
    | meet(meet(X_34,X_35),join(X_19,join(meet(X_35,X_34),meet(X_34,X_35)))) != meet(X_34,X_35)
    | meet(meet(X_34,X_35),join(X_19,meet(X_35,X_34))) = meet(X_34,X_35) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_34,X_35),join(X_19,join(meet(X_35,X_34),meet(X_34,X_35)))),meet(X_34,X_35)) ),[0,1,1],$fot(meet(X_35,X_34))]]) ).

cnf(refute_0_94,plain,
    ( meet(meet(X_34,X_35),join(X_19,join(meet(X_35,X_34),meet(X_34,X_35)))) != meet(X_34,X_35)
    | meet(meet(X_34,X_35),join(X_19,meet(X_35,X_34))) = meet(X_34,X_35) ),
    inference(resolve,[$cnf( $equal(join(meet(X_35,X_34),meet(X_34,X_35)),meet(X_35,X_34)) )],[refute_0_92,refute_0_93]) ).

cnf(refute_0_95,plain,
    meet(meet(X_34,X_35),join(X_19,meet(X_35,X_34))) = meet(X_34,X_35),
    inference(resolve,[$cnf( $equal(meet(meet(X_34,X_35),join(X_19,join(meet(X_35,X_34),meet(X_34,X_35)))),meet(X_34,X_35)) )],[refute_0_79,refute_0_94]) ).

cnf(refute_0_96,plain,
    meet(meet(X_34,X_35),join(X_19,meet(X_35,X_34))) = meet(X_34,meet(X_35,join(X_19,meet(X_35,X_34)))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_34)),bind(Y,$fot(X_35)),bind(Z,$fot(join(X_19,meet(X_35,X_34))))]]) ).

cnf(refute_0_97,plain,
    ( meet(meet(X_34,X_35),join(X_19,meet(X_35,X_34))) != meet(X_34,X_35)
    | meet(meet(X_34,X_35),join(X_19,meet(X_35,X_34))) != meet(X_34,meet(X_35,join(X_19,meet(X_35,X_34))))
    | meet(X_34,meet(X_35,join(X_19,meet(X_35,X_34)))) = meet(X_34,X_35) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_34,X_35),join(X_19,meet(X_35,X_34))),meet(X_34,X_35)) ),[0],$fot(meet(X_34,meet(X_35,join(X_19,meet(X_35,X_34)))))]]) ).

cnf(refute_0_98,plain,
    ( meet(meet(X_34,X_35),join(X_19,meet(X_35,X_34))) != meet(X_34,X_35)
    | meet(X_34,meet(X_35,join(X_19,meet(X_35,X_34)))) = meet(X_34,X_35) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_34,X_35),join(X_19,meet(X_35,X_34))),meet(X_34,meet(X_35,join(X_19,meet(X_35,X_34))))) )],[refute_0_96,refute_0_97]) ).

cnf(refute_0_99,plain,
    meet(X_34,meet(X_35,join(X_19,meet(X_35,X_34)))) = meet(X_34,X_35),
    inference(resolve,[$cnf( $equal(meet(meet(X_34,X_35),join(X_19,meet(X_35,X_34))),meet(X_34,X_35)) )],[refute_0_95,refute_0_98]) ).

cnf(refute_0_100,plain,
    meet(X_11,meet(X_40,join(X_39,meet(X_40,X_11)))) = meet(X_11,X_40),
    inference(subst,[],[refute_0_99:[bind(X_19,$fot(X_39)),bind(X_34,$fot(X_11)),bind(X_35,$fot(X_40))]]) ).

cnf(refute_0_101,plain,
    meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))) = meet(X_11,meet(X_40,join(X_39,meet(X_40,X_11)))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_11)),bind(Y,$fot(X_40)),bind(Z,$fot(join(X_39,meet(X_40,X_11))))]]) ).

cnf(refute_0_102,plain,
    ( meet(X_11,meet(X_40,join(X_39,meet(X_40,X_11)))) != meet(X_11,X_40)
    | meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))) != meet(X_11,meet(X_40,join(X_39,meet(X_40,X_11))))
    | meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))) = meet(X_11,X_40) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))),bind(Y0,$fot(meet(X_11,meet(X_40,join(X_39,meet(X_40,X_11)))))),bind(Z0,$fot(meet(X_11,X_40)))]]) ).

cnf(refute_0_103,plain,
    ( meet(X_11,meet(X_40,join(X_39,meet(X_40,X_11)))) != meet(X_11,X_40)
    | meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))) = meet(X_11,X_40) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))),meet(X_11,meet(X_40,join(X_39,meet(X_40,X_11))))) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))) = meet(X_11,X_40),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_40,join(X_39,meet(X_40,X_11)))),meet(X_11,X_40)) )],[refute_0_100,refute_0_103]) ).

cnf(refute_0_105,plain,
    join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),
    introduced(tautology,[refl,[$fot(join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))))]]) ).

cnf(refute_0_106,plain,
    ( join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) != join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))
    | meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))) != meet(X_11,X_40)
    | join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,X_40),meet(X_11,X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))) ),[1,1],$fot(meet(X_11,X_40))]]) ).

cnf(refute_0_107,plain,
    ( meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))) != meet(X_11,X_40)
    | join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,X_40),meet(X_11,X_40)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,X_40),meet(X_11,X_40)),
    inference(resolve,[$cnf( $equal(meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))),meet(X_11,X_40)) )],[refute_0_104,refute_0_107]) ).

cnf(refute_0_109,plain,
    join(X_40,meet(X_11,X_40)) = X_40,
    inference(subst,[],[refute_0_86:[bind(X_10,$fot(X_40))]]) ).

cnf(refute_0_110,plain,
    meet(X_39,join(X_40,meet(X_11,X_40))) = meet(X_39,join(X_40,meet(X_11,X_40))),
    introduced(tautology,[refl,[$fot(meet(X_39,join(X_40,meet(X_11,X_40))))]]) ).

cnf(refute_0_111,plain,
    ( join(X_40,meet(X_11,X_40)) != X_40
    | meet(X_39,join(X_40,meet(X_11,X_40))) != meet(X_39,join(X_40,meet(X_11,X_40)))
    | meet(X_39,join(X_40,meet(X_11,X_40))) = meet(X_39,X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(X_40,meet(X_11,X_40))),meet(X_39,join(X_40,meet(X_11,X_40)))) ),[1,1],$fot(X_40)]]) ).

cnf(refute_0_112,plain,
    ( join(X_40,meet(X_11,X_40)) != X_40
    | meet(X_39,join(X_40,meet(X_11,X_40))) = meet(X_39,X_40) ),
    inference(resolve,[$cnf( $equal(meet(X_39,join(X_40,meet(X_11,X_40))),meet(X_39,join(X_40,meet(X_11,X_40)))) )],[refute_0_110,refute_0_111]) ).

cnf(refute_0_113,plain,
    meet(X_39,join(X_40,meet(X_11,X_40))) = meet(X_39,X_40),
    inference(resolve,[$cnf( $equal(join(X_40,meet(X_11,X_40)),X_40) )],[refute_0_109,refute_0_112]) ).

cnf(refute_0_114,plain,
    join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),
    introduced(tautology,[refl,[$fot(join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))))]]) ).

cnf(refute_0_115,plain,
    ( join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) != join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))
    | meet(X_39,join(X_40,meet(X_11,X_40))) != meet(X_39,X_40)
    | join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))) ),[1,0],$fot(meet(X_39,X_40))]]) ).

cnf(refute_0_116,plain,
    ( meet(X_39,join(X_40,meet(X_11,X_40))) != meet(X_39,X_40)
    | join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))) )],[refute_0_114,refute_0_115]) ).

cnf(refute_0_117,plain,
    join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),
    inference(resolve,[$cnf( $equal(meet(X_39,join(X_40,meet(X_11,X_40))),meet(X_39,X_40)) )],[refute_0_113,refute_0_116]) ).

cnf(refute_0_118,plain,
    ( join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) != join(meet(X_39,X_40),meet(X_11,X_40))
    | join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) != join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))
    | join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,X_40),meet(X_11,X_40)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))))),bind(Y0,$fot(join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))))),bind(Z0,$fot(join(meet(X_39,X_40),meet(X_11,X_40))))]]) ).

cnf(refute_0_119,plain,
    ( join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) != join(meet(X_39,X_40),meet(X_11,X_40))
    | join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,X_40),meet(X_11,X_40)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) = join(meet(X_39,X_40),meet(X_11,X_40)),
    inference(resolve,[$cnf( $equal(join(meet(X_39,X_40),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),join(meet(X_39,X_40),meet(X_11,X_40))) )],[refute_0_108,refute_0_119]) ).

cnf(refute_0_121,plain,
    ( join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))) != join(meet(X_39,X_40),meet(X_11,X_40))
    | meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))
    | meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))) = join(meet(X_39,X_40),meet(X_11,X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))) ),[1],$fot(join(meet(X_39,X_40),meet(X_11,X_40)))]]) ).

cnf(refute_0_122,plain,
    ( meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))
    | meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))) = join(meet(X_39,X_40),meet(X_11,X_40)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11)))),join(meet(X_39,X_40),meet(X_11,X_40))) )],[refute_0_120,refute_0_121]) ).

cnf(refute_0_123,plain,
    ( meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))
    | meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))) = join(meet(X_39,X_40),meet(X_11,X_40)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))) )],[refute_0_73,refute_0_122]) ).

cnf(refute_0_124,plain,
    meet(join(X_39,meet(X_40,X_11)),join(meet(X_11,X_40),meet(X_39,X_40))) = join(meet(X_39,X_40),meet(X_11,X_40)),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_11,X_40))),join(meet(X_11,X_40),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_11,X_40))),meet(meet(X_11,X_40),join(X_39,meet(X_40,X_11))))) )],[refute_0_63,refute_0_123]) ).

cnf(refute_0_125,plain,
    meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) = join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))),
    inference(subst,[],[refute_0_124:[bind(X_11,$fot(X_170)),bind(X_39,$fot(X_171)),bind(X_40,$fot(meet(X_85,Y)))]]) ).

cnf(refute_0_126,plain,
    meet(meet(X_84,meet(X_85,Y)),join(Y,meet(X_84,meet(X_85,Y)))) = meet(X_84,meet(X_85,Y)),
    inference(subst,[],[refute_0_37:[bind(X,$fot(meet(X_84,meet(X_85,Y))))]]) ).

cnf(refute_0_127,plain,
    join(X_10,meet(meet(X_16,X_17),X_10)) = X_10,
    inference(subst,[],[refute_0_86:[bind(X_11,$fot(meet(X_16,X_17)))]]) ).

cnf(refute_0_128,plain,
    meet(meet(X_16,X_17),X_10) = meet(X_16,meet(X_17,X_10)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(X_10))]]) ).

cnf(refute_0_129,plain,
    ( join(X_10,meet(meet(X_16,X_17),X_10)) != X_10
    | meet(meet(X_16,X_17),X_10) != meet(X_16,meet(X_17,X_10))
    | join(X_10,meet(X_16,meet(X_17,X_10))) = X_10 ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_10,meet(meet(X_16,X_17),X_10)),X_10) ),[0,1],$fot(meet(X_16,meet(X_17,X_10)))]]) ).

cnf(refute_0_130,plain,
    ( join(X_10,meet(meet(X_16,X_17),X_10)) != X_10
    | join(X_10,meet(X_16,meet(X_17,X_10))) = X_10 ),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),X_10),meet(X_16,meet(X_17,X_10))) )],[refute_0_128,refute_0_129]) ).

cnf(refute_0_131,plain,
    join(X_10,meet(X_16,meet(X_17,X_10))) = X_10,
    inference(resolve,[$cnf( $equal(join(X_10,meet(meet(X_16,X_17),X_10)),X_10) )],[refute_0_127,refute_0_130]) ).

cnf(refute_0_132,plain,
    join(Y,meet(X_84,meet(X_85,Y))) = Y,
    inference(subst,[],[refute_0_131:[bind(X_10,$fot(Y)),bind(X_16,$fot(X_84)),bind(X_17,$fot(X_85))]]) ).

cnf(refute_0_133,plain,
    ( join(Y,meet(X_84,meet(X_85,Y))) != Y
    | meet(meet(X_84,meet(X_85,Y)),join(Y,meet(X_84,meet(X_85,Y)))) != meet(X_84,meet(X_85,Y))
    | meet(meet(X_84,meet(X_85,Y)),Y) = meet(X_84,meet(X_85,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_84,meet(X_85,Y)),join(Y,meet(X_84,meet(X_85,Y)))),meet(X_84,meet(X_85,Y))) ),[0,1],$fot(Y)]]) ).

cnf(refute_0_134,plain,
    ( meet(meet(X_84,meet(X_85,Y)),join(Y,meet(X_84,meet(X_85,Y)))) != meet(X_84,meet(X_85,Y))
    | meet(meet(X_84,meet(X_85,Y)),Y) = meet(X_84,meet(X_85,Y)) ),
    inference(resolve,[$cnf( $equal(join(Y,meet(X_84,meet(X_85,Y))),Y) )],[refute_0_132,refute_0_133]) ).

cnf(refute_0_135,plain,
    meet(meet(X_84,meet(X_85,Y)),Y) = meet(X_84,meet(X_85,Y)),
    inference(resolve,[$cnf( $equal(meet(meet(X_84,meet(X_85,Y)),join(Y,meet(X_84,meet(X_85,Y)))),meet(X_84,meet(X_85,Y))) )],[refute_0_126,refute_0_134]) ).

cnf(refute_0_136,plain,
    meet(Y,meet(X_85,Y)) = meet(Y,X_85),
    inference(subst,[],[refute_0_46:[bind(X_11,$fot(X_85))]]) ).

cnf(refute_0_137,plain,
    meet(X_84,meet(Y,meet(X_85,Y))) = meet(X_84,meet(Y,meet(X_85,Y))),
    introduced(tautology,[refl,[$fot(meet(X_84,meet(Y,meet(X_85,Y))))]]) ).

cnf(refute_0_138,plain,
    ( meet(Y,meet(X_85,Y)) != meet(Y,X_85)
    | meet(X_84,meet(Y,meet(X_85,Y))) != meet(X_84,meet(Y,meet(X_85,Y)))
    | meet(X_84,meet(Y,meet(X_85,Y))) = meet(X_84,meet(Y,X_85)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_84,meet(Y,meet(X_85,Y))),meet(X_84,meet(Y,meet(X_85,Y)))) ),[1,1],$fot(meet(Y,X_85))]]) ).

cnf(refute_0_139,plain,
    ( meet(Y,meet(X_85,Y)) != meet(Y,X_85)
    | meet(X_84,meet(Y,meet(X_85,Y))) = meet(X_84,meet(Y,X_85)) ),
    inference(resolve,[$cnf( $equal(meet(X_84,meet(Y,meet(X_85,Y))),meet(X_84,meet(Y,meet(X_85,Y)))) )],[refute_0_137,refute_0_138]) ).

cnf(refute_0_140,plain,
    meet(X_84,meet(Y,meet(X_85,Y))) = meet(X_84,meet(Y,X_85)),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_85,Y)),meet(Y,X_85)) )],[refute_0_136,refute_0_139]) ).

cnf(refute_0_141,plain,
    meet(meet(X_16,join(X_16,Y)),X_18) = meet(X_16,meet(join(X_16,Y),X_18)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(join(X_16,Y))),bind(Z,$fot(X_18))]]) ).

cnf(refute_0_142,plain,
    meet(X_16,join(X_16,Y)) = X_16,
    inference(subst,[],[absorption1:[bind(X,$fot(X_16))]]) ).

cnf(refute_0_143,plain,
    ( meet(X_16,join(X_16,Y)) != X_16
    | meet(meet(X_16,join(X_16,Y)),X_18) != meet(X_16,meet(join(X_16,Y),X_18))
    | meet(X_16,X_18) = meet(X_16,meet(join(X_16,Y),X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,join(X_16,Y)),X_18),meet(X_16,meet(join(X_16,Y),X_18))) ),[0,0],$fot(X_16)]]) ).

cnf(refute_0_144,plain,
    ( meet(meet(X_16,join(X_16,Y)),X_18) != meet(X_16,meet(join(X_16,Y),X_18))
    | meet(X_16,X_18) = meet(X_16,meet(join(X_16,Y),X_18)) ),
    inference(resolve,[$cnf( $equal(meet(X_16,join(X_16,Y)),X_16) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    meet(X_16,X_18) = meet(X_16,meet(join(X_16,Y),X_18)),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,join(X_16,Y)),X_18),meet(X_16,meet(join(X_16,Y),X_18))) )],[refute_0_141,refute_0_144]) ).

cnf(refute_0_146,plain,
    meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) = meet(X_16,meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73)))),
    inference(subst,[],[refute_0_145:[bind(X_18,$fot(meet(X_71,meet(join(X_16,Y),X_73))))]]) ).

cnf(refute_0_147,plain,
    meet(meet(X_16,meet(X_11,X_16)),X_18) = meet(X_16,meet(meet(X_11,X_16),X_18)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(meet(X_11,X_16))),bind(Z,$fot(X_18))]]) ).

cnf(refute_0_148,plain,
    meet(X_16,meet(X_11,X_16)) = meet(X_16,X_11),
    inference(subst,[],[refute_0_46:[bind(Y,$fot(X_16))]]) ).

cnf(refute_0_149,plain,
    ( meet(X_16,meet(X_11,X_16)) != meet(X_16,X_11)
    | meet(meet(X_16,meet(X_11,X_16)),X_18) != meet(X_16,meet(meet(X_11,X_16),X_18))
    | meet(meet(X_16,X_11),X_18) = meet(X_16,meet(meet(X_11,X_16),X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,meet(X_11,X_16)),X_18),meet(X_16,meet(meet(X_11,X_16),X_18))) ),[0,0],$fot(meet(X_16,X_11))]]) ).

cnf(refute_0_150,plain,
    ( meet(meet(X_16,meet(X_11,X_16)),X_18) != meet(X_16,meet(meet(X_11,X_16),X_18))
    | meet(meet(X_16,X_11),X_18) = meet(X_16,meet(meet(X_11,X_16),X_18)) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_11,X_16)),meet(X_16,X_11)) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    meet(meet(X_16,X_11),X_18) = meet(X_16,meet(meet(X_11,X_16),X_18)),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,meet(X_11,X_16)),X_18),meet(X_16,meet(meet(X_11,X_16),X_18))) )],[refute_0_147,refute_0_150]) ).

cnf(refute_0_152,plain,
    meet(meet(X_16,X_11),X_18) = meet(X_16,meet(X_11,X_18)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(X_11)),bind(Z,$fot(X_18))]]) ).

cnf(refute_0_153,plain,
    ( meet(meet(X_16,X_11),X_18) != meet(X_16,meet(X_11,X_18))
    | meet(meet(X_16,X_11),X_18) != meet(X_16,meet(meet(X_11,X_16),X_18))
    | meet(X_16,meet(X_11,X_18)) = meet(X_16,meet(meet(X_11,X_16),X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,X_11),X_18),meet(X_16,meet(meet(X_11,X_16),X_18))) ),[0],$fot(meet(X_16,meet(X_11,X_18)))]]) ).

cnf(refute_0_154,plain,
    ( meet(meet(X_16,X_11),X_18) != meet(X_16,meet(meet(X_11,X_16),X_18))
    | meet(X_16,meet(X_11,X_18)) = meet(X_16,meet(meet(X_11,X_16),X_18)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_11),X_18),meet(X_16,meet(X_11,X_18))) )],[refute_0_152,refute_0_153]) ).

cnf(refute_0_155,plain,
    meet(meet(X_11,X_16),X_18) = meet(X_11,meet(X_16,X_18)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_11)),bind(Y,$fot(X_16)),bind(Z,$fot(X_18))]]) ).

cnf(refute_0_156,plain,
    meet(X_16,meet(meet(X_11,X_16),X_18)) = meet(X_16,meet(meet(X_11,X_16),X_18)),
    introduced(tautology,[refl,[$fot(meet(X_16,meet(meet(X_11,X_16),X_18)))]]) ).

cnf(refute_0_157,plain,
    ( meet(X_16,meet(meet(X_11,X_16),X_18)) != meet(X_16,meet(meet(X_11,X_16),X_18))
    | meet(meet(X_11,X_16),X_18) != meet(X_11,meet(X_16,X_18))
    | meet(X_16,meet(meet(X_11,X_16),X_18)) = meet(X_16,meet(X_11,meet(X_16,X_18))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_16,meet(meet(X_11,X_16),X_18)),meet(X_16,meet(meet(X_11,X_16),X_18))) ),[1,1],$fot(meet(X_11,meet(X_16,X_18)))]]) ).

cnf(refute_0_158,plain,
    ( meet(meet(X_11,X_16),X_18) != meet(X_11,meet(X_16,X_18))
    | meet(X_16,meet(meet(X_11,X_16),X_18)) = meet(X_16,meet(X_11,meet(X_16,X_18))) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(meet(X_11,X_16),X_18)),meet(X_16,meet(meet(X_11,X_16),X_18))) )],[refute_0_156,refute_0_157]) ).

cnf(refute_0_159,plain,
    meet(X_16,meet(meet(X_11,X_16),X_18)) = meet(X_16,meet(X_11,meet(X_16,X_18))),
    inference(resolve,[$cnf( $equal(meet(meet(X_11,X_16),X_18),meet(X_11,meet(X_16,X_18))) )],[refute_0_155,refute_0_158]) ).

cnf(refute_0_160,plain,
    ( meet(X_16,meet(X_11,X_18)) != meet(X_16,meet(meet(X_11,X_16),X_18))
    | meet(X_16,meet(meet(X_11,X_16),X_18)) != meet(X_16,meet(X_11,meet(X_16,X_18)))
    | meet(X_16,meet(X_11,X_18)) = meet(X_16,meet(X_11,meet(X_16,X_18))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_16,meet(X_11,X_18)),meet(X_16,meet(X_11,meet(X_16,X_18)))) ),[0],$fot(meet(X_16,meet(meet(X_11,X_16),X_18)))]]) ).

cnf(refute_0_161,plain,
    ( meet(X_16,meet(X_11,X_18)) != meet(X_16,meet(meet(X_11,X_16),X_18))
    | meet(X_16,meet(X_11,X_18)) = meet(X_16,meet(X_11,meet(X_16,X_18))) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(meet(X_11,X_16),X_18)),meet(X_16,meet(X_11,meet(X_16,X_18)))) )],[refute_0_159,refute_0_160]) ).

cnf(refute_0_162,plain,
    ( meet(meet(X_16,X_11),X_18) != meet(X_16,meet(meet(X_11,X_16),X_18))
    | meet(X_16,meet(X_11,X_18)) = meet(X_16,meet(X_11,meet(X_16,X_18))) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_11,X_18)),meet(X_16,meet(meet(X_11,X_16),X_18))) )],[refute_0_154,refute_0_161]) ).

cnf(refute_0_163,plain,
    meet(X_16,meet(X_11,X_18)) = meet(X_16,meet(X_11,meet(X_16,X_18))),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_11),X_18),meet(X_16,meet(meet(X_11,X_16),X_18))) )],[refute_0_151,refute_0_162]) ).

cnf(refute_0_164,plain,
    meet(join(X_16,Y),meet(X_71,X_73)) = meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73))),
    inference(subst,[],[refute_0_163:[bind(X_11,$fot(X_71)),bind(X_16,$fot(join(X_16,Y))),bind(X_18,$fot(X_73))]]) ).

cnf(refute_0_165,plain,
    ( meet(join(X_16,Y),meet(X_71,X_73)) != meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73)))
    | meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73))) = meet(join(X_16,Y),meet(X_71,X_73)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(join(X_16,Y),meet(X_71,X_73)))),bind(Y0,$fot(meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73)))))]]) ).

cnf(refute_0_166,plain,
    meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73))) = meet(join(X_16,Y),meet(X_71,X_73)),
    inference(resolve,[$cnf( $equal(meet(join(X_16,Y),meet(X_71,X_73)),meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73)))) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    ( meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) != meet(X_16,meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73))))
    | meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73))) != meet(join(X_16,Y),meet(X_71,X_73))
    | meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) = meet(X_16,meet(join(X_16,Y),meet(X_71,X_73))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))),meet(X_16,meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73))))) ),[1,1],$fot(meet(join(X_16,Y),meet(X_71,X_73)))]]) ).

cnf(refute_0_168,plain,
    ( meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) != meet(X_16,meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73))))
    | meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) = meet(X_16,meet(join(X_16,Y),meet(X_71,X_73))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73))),meet(join(X_16,Y),meet(X_71,X_73))) )],[refute_0_166,refute_0_167]) ).

cnf(refute_0_169,plain,
    meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) = meet(X_16,meet(join(X_16,Y),meet(X_71,X_73))),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))),meet(X_16,meet(join(X_16,Y),meet(X_71,meet(join(X_16,Y),X_73))))) )],[refute_0_146,refute_0_168]) ).

cnf(refute_0_170,plain,
    meet(X_16,meet(X_53,X_51)) = meet(X_16,meet(join(X_16,Y),meet(X_53,X_51))),
    inference(subst,[],[refute_0_145:[bind(X_18,$fot(meet(X_53,X_51)))]]) ).

cnf(refute_0_171,plain,
    meet(X,meet(X_16,X_17)) = meet(meet(X_16,X_17),X),
    inference(subst,[],[commutativity_of_meet:[bind(Y,$fot(meet(X_16,X_17)))]]) ).

cnf(refute_0_172,plain,
    meet(meet(X_16,X_17),X) = meet(X_16,meet(X_17,X)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(X))]]) ).

cnf(refute_0_173,plain,
    ( meet(X,meet(X_16,X_17)) != meet(meet(X_16,X_17),X)
    | meet(meet(X_16,X_17),X) != meet(X_16,meet(X_17,X))
    | meet(X,meet(X_16,X_17)) = meet(X_16,meet(X_17,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X,meet(X_16,X_17)),meet(X_16,meet(X_17,X))) ),[0],$fot(meet(meet(X_16,X_17),X))]]) ).

cnf(refute_0_174,plain,
    ( meet(X,meet(X_16,X_17)) != meet(meet(X_16,X_17),X)
    | meet(X,meet(X_16,X_17)) = meet(X_16,meet(X_17,X)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),X),meet(X_16,meet(X_17,X))) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    meet(X,meet(X_16,X_17)) = meet(X_16,meet(X_17,X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_16,X_17)),meet(meet(X_16,X_17),X)) )],[refute_0_171,refute_0_174]) ).

cnf(refute_0_176,plain,
    meet(X_51,meet(join(X_16,Y),X_53)) = meet(join(X_16,Y),meet(X_53,X_51)),
    inference(subst,[],[refute_0_175:[bind(X,$fot(X_51)),bind(X_16,$fot(join(X_16,Y))),bind(X_17,$fot(X_53))]]) ).

cnf(refute_0_177,plain,
    ( meet(X_51,meet(join(X_16,Y),X_53)) != meet(join(X_16,Y),meet(X_53,X_51))
    | meet(join(X_16,Y),meet(X_53,X_51)) = meet(X_51,meet(join(X_16,Y),X_53)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_51,meet(join(X_16,Y),X_53)))),bind(Y0,$fot(meet(join(X_16,Y),meet(X_53,X_51))))]]) ).

cnf(refute_0_178,plain,
    meet(join(X_16,Y),meet(X_53,X_51)) = meet(X_51,meet(join(X_16,Y),X_53)),
    inference(resolve,[$cnf( $equal(meet(X_51,meet(join(X_16,Y),X_53)),meet(join(X_16,Y),meet(X_53,X_51))) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    ( meet(X_16,meet(X_53,X_51)) != meet(X_16,meet(join(X_16,Y),meet(X_53,X_51)))
    | meet(join(X_16,Y),meet(X_53,X_51)) != meet(X_51,meet(join(X_16,Y),X_53))
    | meet(X_16,meet(X_53,X_51)) = meet(X_16,meet(X_51,meet(join(X_16,Y),X_53))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_16,meet(X_53,X_51)),meet(X_16,meet(join(X_16,Y),meet(X_53,X_51)))) ),[1,1],$fot(meet(X_51,meet(join(X_16,Y),X_53)))]]) ).

cnf(refute_0_180,plain,
    ( meet(X_16,meet(X_53,X_51)) != meet(X_16,meet(join(X_16,Y),meet(X_53,X_51)))
    | meet(X_16,meet(X_53,X_51)) = meet(X_16,meet(X_51,meet(join(X_16,Y),X_53))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_16,Y),meet(X_53,X_51)),meet(X_51,meet(join(X_16,Y),X_53))) )],[refute_0_178,refute_0_179]) ).

cnf(refute_0_181,plain,
    meet(X_16,meet(X_53,X_51)) = meet(X_16,meet(X_51,meet(join(X_16,Y),X_53))),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_53,X_51)),meet(X_16,meet(join(X_16,Y),meet(X_53,X_51)))) )],[refute_0_170,refute_0_180]) ).

cnf(refute_0_182,plain,
    ( meet(X_16,meet(X_53,X_51)) != meet(X_16,meet(X_51,meet(join(X_16,Y),X_53)))
    | meet(X_16,meet(X_51,meet(join(X_16,Y),X_53))) = meet(X_16,meet(X_53,X_51)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_16,meet(X_53,X_51)))),bind(Y0,$fot(meet(X_16,meet(X_51,meet(join(X_16,Y),X_53)))))]]) ).

cnf(refute_0_183,plain,
    meet(X_16,meet(X_51,meet(join(X_16,Y),X_53))) = meet(X_16,meet(X_53,X_51)),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_53,X_51)),meet(X_16,meet(X_51,meet(join(X_16,Y),X_53)))) )],[refute_0_181,refute_0_182]) ).

cnf(refute_0_184,plain,
    meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) = meet(X_16,meet(X_73,X_71)),
    inference(subst,[],[refute_0_183:[bind(X_51,$fot(X_71)),bind(X_53,$fot(X_73))]]) ).

cnf(refute_0_185,plain,
    ( meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) != meet(X_16,meet(X_73,X_71))
    | meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) != meet(X_16,meet(join(X_16,Y),meet(X_71,X_73)))
    | meet(X_16,meet(X_73,X_71)) = meet(X_16,meet(join(X_16,Y),meet(X_71,X_73))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))),meet(X_16,meet(join(X_16,Y),meet(X_71,X_73)))) ),[0],$fot(meet(X_16,meet(X_73,X_71)))]]) ).

cnf(refute_0_186,plain,
    ( meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) != meet(X_16,meet(join(X_16,Y),meet(X_71,X_73)))
    | meet(X_16,meet(X_73,X_71)) = meet(X_16,meet(join(X_16,Y),meet(X_71,X_73))) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))),meet(X_16,meet(X_73,X_71))) )],[refute_0_184,refute_0_185]) ).

cnf(refute_0_187,plain,
    ( meet(X_16,X_18) != meet(X_16,meet(join(X_16,Y),X_18))
    | meet(X_16,meet(join(X_16,Y),X_18)) = meet(X_16,X_18) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_16,X_18))),bind(Y0,$fot(meet(X_16,meet(join(X_16,Y),X_18))))]]) ).

cnf(refute_0_188,plain,
    meet(X_16,meet(join(X_16,Y),X_18)) = meet(X_16,X_18),
    inference(resolve,[$cnf( $equal(meet(X_16,X_18),meet(X_16,meet(join(X_16,Y),X_18))) )],[refute_0_145,refute_0_187]) ).

cnf(refute_0_189,plain,
    meet(X_16,meet(join(X_16,Y),meet(X_71,X_73))) = meet(X_16,meet(X_71,X_73)),
    inference(subst,[],[refute_0_188:[bind(X_18,$fot(meet(X_71,X_73)))]]) ).

cnf(refute_0_190,plain,
    ( meet(X_16,meet(X_73,X_71)) != meet(X_16,meet(join(X_16,Y),meet(X_71,X_73)))
    | meet(X_16,meet(join(X_16,Y),meet(X_71,X_73))) != meet(X_16,meet(X_71,X_73))
    | meet(X_16,meet(X_73,X_71)) = meet(X_16,meet(X_71,X_73)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_16,meet(X_73,X_71)),meet(X_16,meet(X_71,X_73))) ),[0],$fot(meet(X_16,meet(join(X_16,Y),meet(X_71,X_73))))]]) ).

cnf(refute_0_191,plain,
    ( meet(X_16,meet(X_73,X_71)) != meet(X_16,meet(join(X_16,Y),meet(X_71,X_73)))
    | meet(X_16,meet(X_73,X_71)) = meet(X_16,meet(X_71,X_73)) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(join(X_16,Y),meet(X_71,X_73))),meet(X_16,meet(X_71,X_73))) )],[refute_0_189,refute_0_190]) ).

cnf(refute_0_192,plain,
    ( meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))) != meet(X_16,meet(join(X_16,Y),meet(X_71,X_73)))
    | meet(X_16,meet(X_73,X_71)) = meet(X_16,meet(X_71,X_73)) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_73,X_71)),meet(X_16,meet(join(X_16,Y),meet(X_71,X_73)))) )],[refute_0_186,refute_0_191]) ).

cnf(refute_0_193,plain,
    meet(X_16,meet(X_73,X_71)) = meet(X_16,meet(X_71,X_73)),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_71,meet(join(X_16,Y),X_73))),meet(X_16,meet(join(X_16,Y),meet(X_71,X_73)))) )],[refute_0_169,refute_0_192]) ).

cnf(refute_0_194,plain,
    ( meet(X_16,meet(X_73,X_71)) != meet(X_16,meet(X_71,X_73))
    | meet(X_16,meet(X_71,X_73)) = meet(X_16,meet(X_73,X_71)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_16,meet(X_73,X_71)))),bind(Y0,$fot(meet(X_16,meet(X_71,X_73))))]]) ).

cnf(refute_0_195,plain,
    meet(X_16,meet(X_71,X_73)) = meet(X_16,meet(X_73,X_71)),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_73,X_71)),meet(X_16,meet(X_71,X_73))) )],[refute_0_193,refute_0_194]) ).

cnf(refute_0_196,plain,
    meet(X_84,meet(meet(X_85,Y),Y)) = meet(X_84,meet(Y,meet(X_85,Y))),
    inference(subst,[],[refute_0_195:[bind(X_16,$fot(X_84)),bind(X_71,$fot(meet(X_85,Y))),bind(X_73,$fot(Y))]]) ).

cnf(refute_0_197,plain,
    meet(meet(X_84,meet(X_85,Y)),Y) = meet(X_84,meet(meet(X_85,Y),Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_84)),bind(Y,$fot(meet(X_85,Y))),bind(Z,$fot(Y))]]) ).

cnf(refute_0_198,plain,
    ( meet(X_84,meet(meet(X_85,Y),Y)) != meet(X_84,meet(Y,meet(X_85,Y)))
    | meet(meet(X_84,meet(X_85,Y)),Y) != meet(X_84,meet(meet(X_85,Y),Y))
    | meet(meet(X_84,meet(X_85,Y)),Y) = meet(X_84,meet(Y,meet(X_85,Y))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_84,meet(X_85,Y)),Y))),bind(Y0,$fot(meet(X_84,meet(meet(X_85,Y),Y)))),bind(Z0,$fot(meet(X_84,meet(Y,meet(X_85,Y)))))]]) ).

cnf(refute_0_199,plain,
    ( meet(X_84,meet(meet(X_85,Y),Y)) != meet(X_84,meet(Y,meet(X_85,Y)))
    | meet(meet(X_84,meet(X_85,Y)),Y) = meet(X_84,meet(Y,meet(X_85,Y))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_84,meet(X_85,Y)),Y),meet(X_84,meet(meet(X_85,Y),Y))) )],[refute_0_197,refute_0_198]) ).

cnf(refute_0_200,plain,
    meet(meet(X_84,meet(X_85,Y)),Y) = meet(X_84,meet(Y,meet(X_85,Y))),
    inference(resolve,[$cnf( $equal(meet(X_84,meet(meet(X_85,Y),Y)),meet(X_84,meet(Y,meet(X_85,Y)))) )],[refute_0_196,refute_0_199]) ).

cnf(refute_0_201,plain,
    ( meet(X_84,meet(Y,meet(X_85,Y))) != meet(X_84,meet(Y,X_85))
    | meet(meet(X_84,meet(X_85,Y)),Y) != meet(X_84,meet(Y,meet(X_85,Y)))
    | meet(meet(X_84,meet(X_85,Y)),Y) = meet(X_84,meet(Y,X_85)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_84,meet(X_85,Y)),Y))),bind(Y0,$fot(meet(X_84,meet(Y,meet(X_85,Y))))),bind(Z0,$fot(meet(X_84,meet(Y,X_85))))]]) ).

cnf(refute_0_202,plain,
    ( meet(X_84,meet(Y,meet(X_85,Y))) != meet(X_84,meet(Y,X_85))
    | meet(meet(X_84,meet(X_85,Y)),Y) = meet(X_84,meet(Y,X_85)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_84,meet(X_85,Y)),Y),meet(X_84,meet(Y,meet(X_85,Y)))) )],[refute_0_200,refute_0_201]) ).

cnf(refute_0_203,plain,
    meet(meet(X_84,meet(X_85,Y)),Y) = meet(X_84,meet(Y,X_85)),
    inference(resolve,[$cnf( $equal(meet(X_84,meet(Y,meet(X_85,Y))),meet(X_84,meet(Y,X_85))) )],[refute_0_140,refute_0_202]) ).

cnf(refute_0_204,plain,
    ( meet(meet(X_84,meet(X_85,Y)),Y) != meet(X_84,meet(Y,X_85))
    | meet(meet(X_84,meet(X_85,Y)),Y) != meet(X_84,meet(X_85,Y))
    | meet(X_84,meet(Y,X_85)) = meet(X_84,meet(X_85,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_84,meet(X_85,Y)),Y),meet(X_84,meet(X_85,Y))) ),[0],$fot(meet(X_84,meet(Y,X_85)))]]) ).

cnf(refute_0_205,plain,
    ( meet(meet(X_84,meet(X_85,Y)),Y) != meet(X_84,meet(X_85,Y))
    | meet(X_84,meet(Y,X_85)) = meet(X_84,meet(X_85,Y)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_84,meet(X_85,Y)),Y),meet(X_84,meet(Y,X_85))) )],[refute_0_203,refute_0_204]) ).

cnf(refute_0_206,plain,
    meet(X_84,meet(Y,X_85)) = meet(X_84,meet(X_85,Y)),
    inference(resolve,[$cnf( $equal(meet(meet(X_84,meet(X_85,Y)),Y),meet(X_84,meet(X_85,Y))) )],[refute_0_135,refute_0_205]) ).

cnf(refute_0_207,plain,
    meet(X_171,meet(Y,X_85)) = meet(X_171,meet(X_85,Y)),
    inference(subst,[],[refute_0_206:[bind(X_84,$fot(X_171))]]) ).

cnf(refute_0_208,plain,
    ( meet(X_171,meet(Y,X_85)) != meet(X_171,meet(X_85,Y))
    | meet(X_171,meet(X_85,Y)) = meet(X_171,meet(Y,X_85)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_171,meet(Y,X_85)))),bind(Y0,$fot(meet(X_171,meet(X_85,Y))))]]) ).

cnf(refute_0_209,plain,
    meet(X_171,meet(X_85,Y)) = meet(X_171,meet(Y,X_85)),
    inference(resolve,[$cnf( $equal(meet(X_171,meet(Y,X_85)),meet(X_171,meet(X_85,Y))) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    ( meet(X_171,meet(X_85,Y)) != meet(X_171,meet(Y,X_85))
    | meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))
    | meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) = join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))) ),[1,0],$fot(meet(X_171,meet(Y,X_85)))]]) ).

cnf(refute_0_211,plain,
    ( meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))
    | meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) = join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))) ),
    inference(resolve,[$cnf( $equal(meet(X_171,meet(X_85,Y)),meet(X_171,meet(Y,X_85))) )],[refute_0_209,refute_0_210]) ).

cnf(refute_0_212,plain,
    meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) = join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))) )],[refute_0_125,refute_0_211]) ).

cnf(refute_0_213,plain,
    ( meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) != join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))
    | meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))
    | join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) = join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))),join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))) ),[0],$fot(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))))]]) ).

cnf(refute_0_214,plain,
    ( meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) != join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))
    | join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) = join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))) )],[refute_0_125,refute_0_213]) ).

cnf(refute_0_215,plain,
    join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) = join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))),join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))) )],[refute_0_212,refute_0_214]) ).

cnf(refute_0_216,plain,
    meet(meet(X_85,Y),join(X_170,X_171)) = meet(X_85,meet(Y,join(X_170,X_171))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_85)),bind(Z,$fot(join(X_170,X_171)))]]) ).

cnf(refute_0_217,plain,
    meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172))) = join(meet(X_171,X_172),meet(X_170,X_172)),
    inference(subst,[],[refute_0_124:[bind(X_11,$fot(X_170)),bind(X_39,$fot(X_171)),bind(X_40,$fot(X_172))]]) ).

cnf(refute_0_218,plain,
    meet(X_172,X_171) = meet(X_171,X_172),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_172)),bind(Y,$fot(X_171))]]) ).

cnf(refute_0_219,plain,
    ( meet(X_172,X_171) != meet(X_171,X_172)
    | meet(X_171,X_172) = meet(X_172,X_171) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_172,X_171))),bind(Y0,$fot(meet(X_171,X_172)))]]) ).

cnf(refute_0_220,plain,
    meet(X_171,X_172) = meet(X_172,X_171),
    inference(resolve,[$cnf( $equal(meet(X_172,X_171),meet(X_171,X_172)) )],[refute_0_218,refute_0_219]) ).

cnf(refute_0_221,plain,
    ( meet(X_171,X_172) != meet(X_172,X_171)
    | meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172))) != join(meet(X_171,X_172),meet(X_170,X_172))
    | meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) = join(meet(X_171,X_172),meet(X_170,X_172)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172))),join(meet(X_171,X_172),meet(X_170,X_172))) ),[0,1,1],$fot(meet(X_172,X_171))]]) ).

cnf(refute_0_222,plain,
    ( meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172))) != join(meet(X_171,X_172),meet(X_170,X_172))
    | meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) = join(meet(X_171,X_172),meet(X_170,X_172)) ),
    inference(resolve,[$cnf( $equal(meet(X_171,X_172),meet(X_172,X_171)) )],[refute_0_220,refute_0_221]) ).

cnf(refute_0_223,plain,
    meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) = join(meet(X_171,X_172),meet(X_170,X_172)),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172))),join(meet(X_171,X_172),meet(X_170,X_172))) )],[refute_0_217,refute_0_222]) ).

cnf(refute_0_224,plain,
    meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180)))),
    inference(subst,[],[refute_0_175:[bind(X,$fot(join(X_181,meet(X_16,X_180)))),bind(X_17,$fot(join(X_180,X_181)))]]) ).

cnf(refute_0_225,plain,
    meet(meet(X_39,join(X_40,X_41)),join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))) = meet(X_39,join(X_40,X_41)),
    inference(subst,[],[absorption1:[bind(X,$fot(meet(X_39,join(X_40,X_41)))),bind(Y,$fot(meet(X_41,join(X_39,meet(X_40,X_41)))))]]) ).

cnf(refute_0_226,plain,
    meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))) = join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))),
    inference(subst,[],[refute_0_58:[bind(X,$fot(X_39)),bind(Y,$fot(X_40)),bind(Z,$fot(X_41))]]) ).

cnf(refute_0_227,plain,
    ( meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))) != join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))
    | join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))) = meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))))),bind(Y0,$fot(join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))))]]) ).

cnf(refute_0_228,plain,
    join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))) = meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))) )],[refute_0_226,refute_0_227]) ).

cnf(refute_0_229,plain,
    ( join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))) != meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))
    | meet(meet(X_39,join(X_40,X_41)),join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))) != meet(X_39,join(X_40,X_41))
    | meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(X_39,join(X_40,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))),meet(X_39,join(X_40,X_41))) ),[0,1],$fot(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))))]]) ).

cnf(refute_0_230,plain,
    ( meet(meet(X_39,join(X_40,X_41)),join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))) != meet(X_39,join(X_40,X_41))
    | meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(X_39,join(X_40,X_41)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) )],[refute_0_228,refute_0_229]) ).

cnf(refute_0_231,plain,
    meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(X_39,join(X_40,X_41)),
    inference(resolve,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))),meet(X_39,join(X_40,X_41))) )],[refute_0_225,refute_0_230]) ).

cnf(refute_0_232,plain,
    meet(X_39,meet(join(X_39,meet(X_40,X_41)),meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))),
    inference(subst,[],[refute_0_188:[bind(Y,$fot(meet(X_40,X_41))),bind(X_16,$fot(X_39)),bind(X_18,$fot(meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))))]]) ).

cnf(refute_0_233,plain,
    meet(meet(X,Y),meet(Y,X_28)) = meet(X,meet(Y,meet(Y,X_28))),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(meet(Y,X_28)))]]) ).

cnf(refute_0_234,plain,
    meet(Y,meet(Y,X_28)) = meet(Y,X_28),
    inference(subst,[],[refute_0_53:[bind(X_14,$fot(Y)),bind(X_15,$fot(X_28))]]) ).

cnf(refute_0_235,plain,
    ( meet(Y,meet(Y,X_28)) != meet(Y,X_28)
    | meet(meet(X,Y),meet(Y,X_28)) != meet(X,meet(Y,meet(Y,X_28)))
    | meet(meet(X,Y),meet(Y,X_28)) = meet(X,meet(Y,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),meet(Y,X_28)),meet(X,meet(Y,meet(Y,X_28)))) ),[1,1],$fot(meet(Y,X_28))]]) ).

cnf(refute_0_236,plain,
    ( meet(meet(X,Y),meet(Y,X_28)) != meet(X,meet(Y,meet(Y,X_28)))
    | meet(meet(X,Y),meet(Y,X_28)) = meet(X,meet(Y,X_28)) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(Y,X_28)),meet(Y,X_28)) )],[refute_0_234,refute_0_235]) ).

cnf(refute_0_237,plain,
    meet(meet(X,Y),meet(Y,X_28)) = meet(X,meet(Y,X_28)),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(Y,X_28)),meet(X,meet(Y,meet(Y,X_28)))) )],[refute_0_233,refute_0_236]) ).

cnf(refute_0_238,plain,
    ( meet(X_16,meet(X_11,X_18)) != meet(X_16,meet(X_11,meet(X_16,X_18)))
    | meet(X_16,meet(X_11,meet(X_16,X_18))) = meet(X_16,meet(X_11,X_18)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_16,meet(X_11,X_18)))),bind(Y0,$fot(meet(X_16,meet(X_11,meet(X_16,X_18)))))]]) ).

cnf(refute_0_239,plain,
    meet(X_16,meet(X_11,meet(X_16,X_18))) = meet(X_16,meet(X_11,X_18)),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_11,X_18)),meet(X_16,meet(X_11,meet(X_16,X_18)))) )],[refute_0_163,refute_0_238]) ).

cnf(refute_0_240,plain,
    meet(Y,meet(X,meet(Y,X_28))) = meet(Y,meet(X,X_28)),
    inference(subst,[],[refute_0_239:[bind(X_11,$fot(X)),bind(X_16,$fot(Y)),bind(X_18,$fot(X_28))]]) ).

cnf(refute_0_241,plain,
    meet(meet(X,Y),X_28) = meet(X,meet(Y,X_28)),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(X_28))]]) ).

cnf(refute_0_242,plain,
    meet(Y,meet(meet(X,Y),X_28)) = meet(Y,meet(meet(X,Y),X_28)),
    introduced(tautology,[refl,[$fot(meet(Y,meet(meet(X,Y),X_28)))]]) ).

cnf(refute_0_243,plain,
    ( meet(Y,meet(meet(X,Y),X_28)) != meet(Y,meet(meet(X,Y),X_28))
    | meet(meet(X,Y),X_28) != meet(X,meet(Y,X_28))
    | meet(Y,meet(meet(X,Y),X_28)) = meet(Y,meet(X,meet(Y,X_28))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(Y,meet(meet(X,Y),X_28)),meet(Y,meet(meet(X,Y),X_28))) ),[1,1],$fot(meet(X,meet(Y,X_28)))]]) ).

cnf(refute_0_244,plain,
    ( meet(meet(X,Y),X_28) != meet(X,meet(Y,X_28))
    | meet(Y,meet(meet(X,Y),X_28)) = meet(Y,meet(X,meet(Y,X_28))) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(meet(X,Y),X_28)),meet(Y,meet(meet(X,Y),X_28))) )],[refute_0_242,refute_0_243]) ).

cnf(refute_0_245,plain,
    meet(Y,meet(meet(X,Y),X_28)) = meet(Y,meet(X,meet(Y,X_28))),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_28),meet(X,meet(Y,X_28))) )],[refute_0_241,refute_0_244]) ).

cnf(refute_0_246,plain,
    ( meet(Y,meet(X,meet(Y,X_28))) != meet(Y,meet(X,X_28))
    | meet(Y,meet(meet(X,Y),X_28)) != meet(Y,meet(X,meet(Y,X_28)))
    | meet(Y,meet(meet(X,Y),X_28)) = meet(Y,meet(X,X_28)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(Y,meet(meet(X,Y),X_28)))),bind(Y0,$fot(meet(Y,meet(X,meet(Y,X_28))))),bind(Z0,$fot(meet(Y,meet(X,X_28))))]]) ).

cnf(refute_0_247,plain,
    ( meet(Y,meet(X,meet(Y,X_28))) != meet(Y,meet(X,X_28))
    | meet(Y,meet(meet(X,Y),X_28)) = meet(Y,meet(X,X_28)) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(meet(X,Y),X_28)),meet(Y,meet(X,meet(Y,X_28)))) )],[refute_0_245,refute_0_246]) ).

cnf(refute_0_248,plain,
    meet(Y,meet(meet(X,Y),X_28)) = meet(Y,meet(X,X_28)),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X,meet(Y,X_28))),meet(Y,meet(X,X_28))) )],[refute_0_240,refute_0_247]) ).

cnf(refute_0_249,plain,
    meet(meet(X_16,X_17),X_18) = meet(X_16,meet(X_17,X_18)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(X_18))]]) ).

cnf(refute_0_250,plain,
    meet(X_17,X_16) = meet(X_16,X_17),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_17)),bind(Y,$fot(X_16))]]) ).

cnf(refute_0_251,plain,
    ( meet(X_17,X_16) != meet(X_16,X_17)
    | meet(X_16,X_17) = meet(X_17,X_16) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_17,X_16))),bind(Y0,$fot(meet(X_16,X_17)))]]) ).

cnf(refute_0_252,plain,
    meet(X_16,X_17) = meet(X_17,X_16),
    inference(resolve,[$cnf( $equal(meet(X_17,X_16),meet(X_16,X_17)) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    ( meet(X_16,X_17) != meet(X_17,X_16)
    | meet(meet(X_16,X_17),X_18) != meet(X_16,meet(X_17,X_18))
    | meet(meet(X_17,X_16),X_18) = meet(X_16,meet(X_17,X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,X_17),X_18),meet(X_16,meet(X_17,X_18))) ),[0,0],$fot(meet(X_17,X_16))]]) ).

cnf(refute_0_254,plain,
    ( meet(meet(X_16,X_17),X_18) != meet(X_16,meet(X_17,X_18))
    | meet(meet(X_17,X_16),X_18) = meet(X_16,meet(X_17,X_18)) ),
    inference(resolve,[$cnf( $equal(meet(X_16,X_17),meet(X_17,X_16)) )],[refute_0_252,refute_0_253]) ).

cnf(refute_0_255,plain,
    meet(meet(X_17,X_16),X_18) = meet(X_16,meet(X_17,X_18)),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),X_18),meet(X_16,meet(X_17,X_18))) )],[refute_0_249,refute_0_254]) ).

cnf(refute_0_256,plain,
    meet(meet(X_17,X_16),X_18) = meet(X_17,meet(X_16,X_18)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_17)),bind(Y,$fot(X_16)),bind(Z,$fot(X_18))]]) ).

cnf(refute_0_257,plain,
    ( meet(meet(X_17,X_16),X_18) != meet(X_16,meet(X_17,X_18))
    | meet(meet(X_17,X_16),X_18) != meet(X_17,meet(X_16,X_18))
    | meet(X_17,meet(X_16,X_18)) = meet(X_16,meet(X_17,X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_17,X_16),X_18),meet(X_16,meet(X_17,X_18))) ),[0],$fot(meet(X_17,meet(X_16,X_18)))]]) ).

cnf(refute_0_258,plain,
    ( meet(meet(X_17,X_16),X_18) != meet(X_16,meet(X_17,X_18))
    | meet(X_17,meet(X_16,X_18)) = meet(X_16,meet(X_17,X_18)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_17,X_16),X_18),meet(X_17,meet(X_16,X_18))) )],[refute_0_256,refute_0_257]) ).

cnf(refute_0_259,plain,
    meet(X_17,meet(X_16,X_18)) = meet(X_16,meet(X_17,X_18)),
    inference(resolve,[$cnf( $equal(meet(meet(X_17,X_16),X_18),meet(X_16,meet(X_17,X_18))) )],[refute_0_255,refute_0_258]) ).

cnf(refute_0_260,plain,
    ( meet(X_17,meet(X_16,X_18)) != meet(X_16,meet(X_17,X_18))
    | meet(X_16,meet(X_17,X_18)) = meet(X_17,meet(X_16,X_18)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_17,meet(X_16,X_18)))),bind(Y0,$fot(meet(X_16,meet(X_17,X_18))))]]) ).

cnf(refute_0_261,plain,
    meet(X_16,meet(X_17,X_18)) = meet(X_17,meet(X_16,X_18)),
    inference(resolve,[$cnf( $equal(meet(X_17,meet(X_16,X_18)),meet(X_16,meet(X_17,X_18))) )],[refute_0_259,refute_0_260]) ).

cnf(refute_0_262,plain,
    meet(meet(X,Y),meet(Y,X_28)) = meet(Y,meet(meet(X,Y),X_28)),
    inference(subst,[],[refute_0_261:[bind(X_16,$fot(meet(X,Y))),bind(X_17,$fot(Y)),bind(X_18,$fot(X_28))]]) ).

cnf(refute_0_263,plain,
    ( meet(Y,meet(meet(X,Y),X_28)) != meet(Y,meet(X,X_28))
    | meet(meet(X,Y),meet(Y,X_28)) != meet(Y,meet(meet(X,Y),X_28))
    | meet(meet(X,Y),meet(Y,X_28)) = meet(Y,meet(X,X_28)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X,Y),meet(Y,X_28)))),bind(Y0,$fot(meet(Y,meet(meet(X,Y),X_28)))),bind(Z0,$fot(meet(Y,meet(X,X_28))))]]) ).

cnf(refute_0_264,plain,
    ( meet(Y,meet(meet(X,Y),X_28)) != meet(Y,meet(X,X_28))
    | meet(meet(X,Y),meet(Y,X_28)) = meet(Y,meet(X,X_28)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(Y,X_28)),meet(Y,meet(meet(X,Y),X_28))) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    meet(meet(X,Y),meet(Y,X_28)) = meet(Y,meet(X,X_28)),
    inference(resolve,[$cnf( $equal(meet(Y,meet(meet(X,Y),X_28)),meet(Y,meet(X,X_28))) )],[refute_0_248,refute_0_264]) ).

cnf(refute_0_266,plain,
    ( meet(meet(X,Y),meet(Y,X_28)) != meet(X,meet(Y,X_28))
    | meet(meet(X,Y),meet(Y,X_28)) != meet(Y,meet(X,X_28))
    | meet(Y,meet(X,X_28)) = meet(X,meet(Y,X_28)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),meet(Y,X_28)),meet(X,meet(Y,X_28))) ),[0],$fot(meet(Y,meet(X,X_28)))]]) ).

cnf(refute_0_267,plain,
    ( meet(meet(X,Y),meet(Y,X_28)) != meet(X,meet(Y,X_28))
    | meet(Y,meet(X,X_28)) = meet(X,meet(Y,X_28)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(Y,X_28)),meet(Y,meet(X,X_28))) )],[refute_0_265,refute_0_266]) ).

cnf(refute_0_268,plain,
    meet(Y,meet(X,X_28)) = meet(X,meet(Y,X_28)),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),meet(Y,X_28)),meet(X,meet(Y,X_28))) )],[refute_0_237,refute_0_267]) ).

cnf(refute_0_269,plain,
    ( meet(Y,meet(X,X_28)) != meet(X,meet(Y,X_28))
    | meet(X,meet(Y,X_28)) = meet(Y,meet(X,X_28)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(Y,meet(X,X_28)))),bind(Y0,$fot(meet(X,meet(Y,X_28))))]]) ).

cnf(refute_0_270,plain,
    meet(X,meet(Y,X_28)) = meet(Y,meet(X,X_28)),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X,X_28)),meet(X,meet(Y,X_28))) )],[refute_0_268,refute_0_269]) ).

cnf(refute_0_271,plain,
    meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) = meet(X_39,meet(join(X_39,meet(X_40,X_41)),meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))),
    inference(subst,[],[refute_0_270:[bind(X,$fot(join(X_39,meet(X_40,X_41)))),bind(Y,$fot(X_39)),bind(X_28,$fot(meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))))]]) ).

cnf(refute_0_272,plain,
    ( meet(X_39,meet(join(X_39,meet(X_40,X_41)),meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) != meet(X_39,meet(join(X_39,meet(X_40,X_41)),meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))))
    | meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))))),bind(Y0,$fot(meet(X_39,meet(join(X_39,meet(X_40,X_41)),meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))))),bind(Z0,$fot(meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))))]]) ).

cnf(refute_0_273,plain,
    ( meet(X_39,meet(join(X_39,meet(X_40,X_41)),meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))),meet(X_39,meet(join(X_39,meet(X_40,X_41)),meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))))) )],[refute_0_271,refute_0_272]) ).

cnf(refute_0_274,plain,
    meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_39,meet(X_40,X_41)),meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) )],[refute_0_232,refute_0_273]) ).

cnf(refute_0_275,plain,
    meet(X_18,X_17) = meet(X_17,X_18),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_18)),bind(Y,$fot(X_17))]]) ).

cnf(refute_0_276,plain,
    ( meet(X_18,X_17) != meet(X_17,X_18)
    | meet(X_17,X_18) = meet(X_18,X_17) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_18,X_17))),bind(Y0,$fot(meet(X_17,X_18)))]]) ).

cnf(refute_0_277,plain,
    meet(X_17,X_18) = meet(X_18,X_17),
    inference(resolve,[$cnf( $equal(meet(X_18,X_17),meet(X_17,X_18)) )],[refute_0_275,refute_0_276]) ).

cnf(refute_0_278,plain,
    ( meet(X_17,X_18) != meet(X_18,X_17)
    | meet(meet(X_16,X_17),X_18) != meet(X_16,meet(X_17,X_18))
    | meet(meet(X_16,X_17),X_18) = meet(X_16,meet(X_18,X_17)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,X_17),X_18),meet(X_16,meet(X_17,X_18))) ),[1,1],$fot(meet(X_18,X_17))]]) ).

cnf(refute_0_279,plain,
    ( meet(meet(X_16,X_17),X_18) != meet(X_16,meet(X_17,X_18))
    | meet(meet(X_16,X_17),X_18) = meet(X_16,meet(X_18,X_17)) ),
    inference(resolve,[$cnf( $equal(meet(X_17,X_18),meet(X_18,X_17)) )],[refute_0_277,refute_0_278]) ).

cnf(refute_0_280,plain,
    meet(meet(X_16,X_17),X_18) = meet(X_16,meet(X_18,X_17)),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),X_18),meet(X_16,meet(X_17,X_18))) )],[refute_0_249,refute_0_279]) ).

cnf(refute_0_281,plain,
    ( meet(meet(X_16,X_17),X_18) != meet(X_16,meet(X_17,X_18))
    | meet(meet(X_16,X_17),X_18) != meet(X_16,meet(X_18,X_17))
    | meet(X_16,meet(X_17,X_18)) = meet(X_16,meet(X_18,X_17)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,X_17),X_18),meet(X_16,meet(X_18,X_17))) ),[0],$fot(meet(X_16,meet(X_17,X_18)))]]) ).

cnf(refute_0_282,plain,
    ( meet(meet(X_16,X_17),X_18) != meet(X_16,meet(X_18,X_17))
    | meet(X_16,meet(X_17,X_18)) = meet(X_16,meet(X_18,X_17)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),X_18),meet(X_16,meet(X_17,X_18))) )],[refute_0_249,refute_0_281]) ).

cnf(refute_0_283,plain,
    meet(X_16,meet(X_17,X_18)) = meet(X_16,meet(X_18,X_17)),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),X_18),meet(X_16,meet(X_18,X_17))) )],[refute_0_280,refute_0_282]) ).

cnf(refute_0_284,plain,
    ( meet(X_16,meet(X_17,X_18)) != meet(X_16,meet(X_18,X_17))
    | meet(X_16,meet(X_18,X_17)) = meet(X_16,meet(X_17,X_18)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_16,meet(X_17,X_18)))),bind(Y0,$fot(meet(X_16,meet(X_18,X_17))))]]) ).

cnf(refute_0_285,plain,
    meet(X_16,meet(X_18,X_17)) = meet(X_16,meet(X_17,X_18)),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_17,X_18)),meet(X_16,meet(X_18,X_17))) )],[refute_0_283,refute_0_284]) ).

cnf(refute_0_286,plain,
    meet(X_39,meet(join(X_41,meet(X_39,X_40)),join(X_40,X_41))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))),
    inference(subst,[],[refute_0_285:[bind(X_16,$fot(X_39)),bind(X_17,$fot(join(X_40,X_41))),bind(X_18,$fot(join(X_41,meet(X_39,X_40))))]]) ).

cnf(refute_0_287,plain,
    meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))) = meet(X_39,meet(join(X_41,meet(X_39,X_40)),join(X_40,X_41))),
    inference(subst,[],[refute_0_270:[bind(X,$fot(join(X_41,meet(X_39,X_40)))),bind(Y,$fot(X_39)),bind(X_28,$fot(join(X_40,X_41)))]]) ).

cnf(refute_0_288,plain,
    ( meet(X_39,meet(join(X_41,meet(X_39,X_40)),join(X_40,X_41))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))) != meet(X_39,meet(join(X_41,meet(X_39,X_40)),join(X_40,X_41)))
    | meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))))),bind(Y0,$fot(meet(X_39,meet(join(X_41,meet(X_39,X_40)),join(X_40,X_41))))),bind(Z0,$fot(meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))))]]) ).

cnf(refute_0_289,plain,
    ( meet(X_39,meet(join(X_41,meet(X_39,X_40)),join(X_40,X_41))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))),meet(X_39,meet(join(X_41,meet(X_39,X_40)),join(X_40,X_41)))) )],[refute_0_287,refute_0_288]) ).

cnf(refute_0_290,plain,
    meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_41,meet(X_39,X_40)),join(X_40,X_41))),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) )],[refute_0_286,refute_0_289]) ).

cnf(refute_0_291,plain,
    meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) = meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))),
    introduced(tautology,[refl,[$fot(meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))))]]) ).

cnf(refute_0_292,plain,
    ( meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) != meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))))
    | meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) = meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))))) ),[1,1],$fot(meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))))]]) ).

cnf(refute_0_293,plain,
    ( meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) = meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))))) )],[refute_0_291,refute_0_292]) ).

cnf(refute_0_294,plain,
    meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) = meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))),
    inference(resolve,[$cnf( $equal(meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) )],[refute_0_290,refute_0_293]) ).

cnf(refute_0_295,plain,
    ( meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) != meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))))
    | meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))))),bind(Y0,$fot(meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))))),bind(Z0,$fot(meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))))]]) ).

cnf(refute_0_296,plain,
    ( meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))),meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))))) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_41)),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) )],[refute_0_274,refute_0_296]) ).

cnf(refute_0_298,plain,
    meet(join(X_39,meet(X_40,X_41)),meet(meet(X_39,join(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))),
    inference(subst,[],[refute_0_285:[bind(X_16,$fot(join(X_39,meet(X_40,X_41)))),bind(X_17,$fot(join(X_41,meet(X_39,X_40)))),bind(X_18,$fot(meet(X_39,join(X_40,X_41))))]]) ).

cnf(refute_0_299,plain,
    meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(join(X_39,meet(X_40,X_41)),meet(meet(X_39,join(X_40,X_41)),join(X_41,meet(X_39,X_40)))),
    inference(subst,[],[refute_0_270:[bind(X,$fot(meet(X_39,join(X_40,X_41)))),bind(Y,$fot(join(X_39,meet(X_40,X_41)))),bind(X_28,$fot(join(X_41,meet(X_39,X_40))))]]) ).

cnf(refute_0_300,plain,
    ( meet(join(X_39,meet(X_40,X_41)),meet(meet(X_39,join(X_40,X_41)),join(X_41,meet(X_39,X_40)))) != meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))))
    | meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) != meet(join(X_39,meet(X_40,X_41)),meet(meet(X_39,join(X_40,X_41)),join(X_41,meet(X_39,X_40))))
    | meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))))),bind(Y0,$fot(meet(join(X_39,meet(X_40,X_41)),meet(meet(X_39,join(X_40,X_41)),join(X_41,meet(X_39,X_40)))))),bind(Z0,$fot(meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))))))]]) ).

cnf(refute_0_301,plain,
    ( meet(join(X_39,meet(X_40,X_41)),meet(meet(X_39,join(X_40,X_41)),join(X_41,meet(X_39,X_40)))) != meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))))
    | meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))),meet(join(X_39,meet(X_40,X_41)),meet(meet(X_39,join(X_40,X_41)),join(X_41,meet(X_39,X_40))))) )],[refute_0_299,refute_0_300]) ).

cnf(refute_0_302,plain,
    meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_41)),meet(meet(X_39,join(X_40,X_41)),join(X_41,meet(X_39,X_40)))),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))))) )],[refute_0_298,refute_0_301]) ).

cnf(refute_0_303,plain,
    ( meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) != meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))))
    | meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))))),bind(Y0,$fot(meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))))),bind(Z0,$fot(meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))))]]) ).

cnf(refute_0_304,plain,
    ( meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41))))) )],[refute_0_302,refute_0_303]) ).

cnf(refute_0_305,plain,
    meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) = meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),meet(X_39,join(X_40,X_41)))),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) )],[refute_0_297,refute_0_304]) ).

cnf(refute_0_306,plain,
    ( meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) != meet(X_39,join(X_40,X_41))
    | meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) != meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))
    | meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) = meet(X_39,join(X_40,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))),meet(X_39,join(X_40,X_41))) ),[0],$fot(meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))))]]) ).

cnf(refute_0_307,plain,
    ( meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) != meet(X_39,join(X_40,X_41))
    | meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) = meet(X_39,join(X_40,X_41)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))),meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40))))) )],[refute_0_305,refute_0_306]) ).

cnf(refute_0_308,plain,
    meet(X_39,meet(join(X_40,X_41),join(X_41,meet(X_39,X_40)))) = meet(X_39,join(X_40,X_41)),
    inference(resolve,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))),meet(X_39,join(X_40,X_41))) )],[refute_0_231,refute_0_307]) ).

cnf(refute_0_309,plain,
    meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180)))) = meet(X_16,join(X_180,X_181)),
    inference(subst,[],[refute_0_308:[bind(X_39,$fot(X_16)),bind(X_40,$fot(X_180)),bind(X_41,$fot(X_181))]]) ).

cnf(refute_0_310,plain,
    ( meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180)))) != meet(X_16,join(X_180,X_181))
    | meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) != meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180))))
    | meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = meet(X_16,join(X_180,X_181)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))),meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180))))) ),[1],$fot(meet(X_16,join(X_180,X_181)))]]) ).

cnf(refute_0_311,plain,
    ( meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) != meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180))))
    | meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = meet(X_16,join(X_180,X_181)) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180)))),meet(X_16,join(X_180,X_181))) )],[refute_0_309,refute_0_310]) ).

cnf(refute_0_312,plain,
    meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = meet(X_16,join(X_180,X_181)),
    inference(resolve,[$cnf( $equal(meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))),meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180))))) )],[refute_0_224,refute_0_311]) ).

cnf(refute_0_313,plain,
    meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))) = meet(X_16,meet(join(X_64,X_63),join(X_63,X_64))),
    inference(subst,[],[refute_0_175:[bind(X,$fot(join(X_63,X_64))),bind(X_17,$fot(join(X_64,X_63)))]]) ).

cnf(refute_0_314,plain,
    meet(join(X_22,Y),join(Y,join(X_22,Y))) = join(X_22,Y),
    inference(subst,[],[refute_0_37:[bind(X,$fot(join(X_22,Y)))]]) ).

cnf(refute_0_315,plain,
    join(join(X_13,Y),meet(X_13,join(X_13,Y))) = join(X_13,Y),
    inference(subst,[],[refute_0_86:[bind(X_10,$fot(join(X_13,Y))),bind(X_11,$fot(X_13))]]) ).

cnf(refute_0_316,plain,
    meet(X_13,join(X_13,Y)) = X_13,
    inference(subst,[],[absorption1:[bind(X,$fot(X_13))]]) ).

cnf(refute_0_317,plain,
    ( join(join(X_13,Y),meet(X_13,join(X_13,Y))) != join(X_13,Y)
    | meet(X_13,join(X_13,Y)) != X_13
    | join(join(X_13,Y),X_13) = join(X_13,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_13,Y),meet(X_13,join(X_13,Y))),join(X_13,Y)) ),[0,1],$fot(X_13)]]) ).

cnf(refute_0_318,plain,
    ( join(join(X_13,Y),meet(X_13,join(X_13,Y))) != join(X_13,Y)
    | join(join(X_13,Y),X_13) = join(X_13,Y) ),
    inference(resolve,[$cnf( $equal(meet(X_13,join(X_13,Y)),X_13) )],[refute_0_316,refute_0_317]) ).

cnf(refute_0_319,plain,
    join(join(X_13,Y),X_13) = join(X_13,Y),
    inference(resolve,[$cnf( $equal(join(join(X_13,Y),meet(X_13,join(X_13,Y))),join(X_13,Y)) )],[refute_0_315,refute_0_318]) ).

cnf(refute_0_320,plain,
    join(join(X_13,Y),X_13) = join(X_13,join(Y,X_13)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_13)),bind(Z,$fot(X_13))]]) ).

cnf(refute_0_321,plain,
    ( join(join(X_13,Y),X_13) != join(X_13,Y)
    | join(join(X_13,Y),X_13) != join(X_13,join(Y,X_13))
    | join(X_13,join(Y,X_13)) = join(X_13,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_13,Y),X_13),join(X_13,Y)) ),[0],$fot(join(X_13,join(Y,X_13)))]]) ).

cnf(refute_0_322,plain,
    ( join(join(X_13,Y),X_13) != join(X_13,Y)
    | join(X_13,join(Y,X_13)) = join(X_13,Y) ),
    inference(resolve,[$cnf( $equal(join(join(X_13,Y),X_13),join(X_13,join(Y,X_13))) )],[refute_0_320,refute_0_321]) ).

cnf(refute_0_323,plain,
    join(X_13,join(Y,X_13)) = join(X_13,Y),
    inference(resolve,[$cnf( $equal(join(join(X_13,Y),X_13),join(X_13,Y)) )],[refute_0_319,refute_0_322]) ).

cnf(refute_0_324,plain,
    join(Y,join(X_22,Y)) = join(Y,X_22),
    inference(subst,[],[refute_0_323:[bind(Y,$fot(X_22)),bind(X_13,$fot(Y))]]) ).

cnf(refute_0_325,plain,
    ( join(Y,join(X_22,Y)) != join(Y,X_22)
    | meet(join(X_22,Y),join(Y,join(X_22,Y))) != join(X_22,Y)
    | meet(join(X_22,Y),join(Y,X_22)) = join(X_22,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_22,Y),join(Y,join(X_22,Y))),join(X_22,Y)) ),[0,1],$fot(join(Y,X_22))]]) ).

cnf(refute_0_326,plain,
    ( meet(join(X_22,Y),join(Y,join(X_22,Y))) != join(X_22,Y)
    | meet(join(X_22,Y),join(Y,X_22)) = join(X_22,Y) ),
    inference(resolve,[$cnf( $equal(join(Y,join(X_22,Y)),join(Y,X_22)) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    meet(join(X_22,Y),join(Y,X_22)) = join(X_22,Y),
    inference(resolve,[$cnf( $equal(meet(join(X_22,Y),join(Y,join(X_22,Y))),join(X_22,Y)) )],[refute_0_314,refute_0_326]) ).

cnf(refute_0_328,plain,
    meet(join(X_64,X_63),join(X_63,X_64)) = join(X_64,X_63),
    inference(subst,[],[refute_0_327:[bind(Y,$fot(X_63)),bind(X_22,$fot(X_64))]]) ).

cnf(refute_0_329,plain,
    ( meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))) != meet(X_16,meet(join(X_64,X_63),join(X_63,X_64)))
    | meet(join(X_64,X_63),join(X_63,X_64)) != join(X_64,X_63)
    | meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))) = meet(X_16,join(X_64,X_63)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))),meet(X_16,meet(join(X_64,X_63),join(X_63,X_64)))) ),[1,1],$fot(join(X_64,X_63))]]) ).

cnf(refute_0_330,plain,
    ( meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))) != meet(X_16,meet(join(X_64,X_63),join(X_63,X_64)))
    | meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))) = meet(X_16,join(X_64,X_63)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_64,X_63),join(X_63,X_64)),join(X_64,X_63)) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))) = meet(X_16,join(X_64,X_63)),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))),meet(X_16,meet(join(X_64,X_63),join(X_63,X_64)))) )],[refute_0_313,refute_0_330]) ).

cnf(refute_0_332,plain,
    meet(meet(X_26,Y),join(X_25,join(X_26,meet(X_26,Y)))) = meet(X_26,Y),
    inference(subst,[],[refute_0_78:[bind(X,$fot(meet(X_26,Y))),bind(X_19,$fot(X_25)),bind(X_20,$fot(X_26))]]) ).

cnf(refute_0_333,plain,
    join(X_26,meet(X_26,Y)) = X_26,
    inference(subst,[],[absorption2:[bind(X,$fot(X_26))]]) ).

cnf(refute_0_334,plain,
    ( join(X_26,meet(X_26,Y)) != X_26
    | meet(meet(X_26,Y),join(X_25,join(X_26,meet(X_26,Y)))) != meet(X_26,Y)
    | meet(meet(X_26,Y),join(X_25,X_26)) = meet(X_26,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_26,Y),join(X_25,join(X_26,meet(X_26,Y)))),meet(X_26,Y)) ),[0,1,1],$fot(X_26)]]) ).

cnf(refute_0_335,plain,
    ( meet(meet(X_26,Y),join(X_25,join(X_26,meet(X_26,Y)))) != meet(X_26,Y)
    | meet(meet(X_26,Y),join(X_25,X_26)) = meet(X_26,Y) ),
    inference(resolve,[$cnf( $equal(join(X_26,meet(X_26,Y)),X_26) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    meet(meet(X_26,Y),join(X_25,X_26)) = meet(X_26,Y),
    inference(resolve,[$cnf( $equal(meet(meet(X_26,Y),join(X_25,join(X_26,meet(X_26,Y)))),meet(X_26,Y)) )],[refute_0_332,refute_0_335]) ).

cnf(refute_0_337,plain,
    meet(meet(X_26,Y),join(X_25,X_26)) = meet(X_26,meet(Y,join(X_25,X_26))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_26)),bind(Z,$fot(join(X_25,X_26)))]]) ).

cnf(refute_0_338,plain,
    ( meet(meet(X_26,Y),join(X_25,X_26)) != meet(X_26,Y)
    | meet(meet(X_26,Y),join(X_25,X_26)) != meet(X_26,meet(Y,join(X_25,X_26)))
    | meet(X_26,meet(Y,join(X_25,X_26))) = meet(X_26,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_26,Y),join(X_25,X_26)),meet(X_26,Y)) ),[0],$fot(meet(X_26,meet(Y,join(X_25,X_26))))]]) ).

cnf(refute_0_339,plain,
    ( meet(meet(X_26,Y),join(X_25,X_26)) != meet(X_26,Y)
    | meet(X_26,meet(Y,join(X_25,X_26))) = meet(X_26,Y) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_26,Y),join(X_25,X_26)),meet(X_26,meet(Y,join(X_25,X_26)))) )],[refute_0_337,refute_0_338]) ).

cnf(refute_0_340,plain,
    meet(X_26,meet(Y,join(X_25,X_26))) = meet(X_26,Y),
    inference(resolve,[$cnf( $equal(meet(meet(X_26,Y),join(X_25,X_26)),meet(X_26,Y)) )],[refute_0_336,refute_0_339]) ).

cnf(refute_0_341,plain,
    meet(join(Y,X_61),meet(X_60,join(X_61,join(Y,X_61)))) = meet(join(Y,X_61),X_60),
    inference(subst,[],[refute_0_340:[bind(Y,$fot(X_60)),bind(X_25,$fot(X_61)),bind(X_26,$fot(join(Y,X_61)))]]) ).

cnf(refute_0_342,plain,
    join(X_61,join(Y,X_61)) = join(X_61,Y),
    inference(subst,[],[refute_0_323:[bind(X_13,$fot(X_61))]]) ).

cnf(refute_0_343,plain,
    ( join(X_61,join(Y,X_61)) != join(X_61,Y)
    | meet(join(Y,X_61),meet(X_60,join(X_61,join(Y,X_61)))) != meet(join(Y,X_61),X_60)
    | meet(join(Y,X_61),meet(X_60,join(X_61,Y))) = meet(join(Y,X_61),X_60) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(Y,X_61),meet(X_60,join(X_61,join(Y,X_61)))),meet(join(Y,X_61),X_60)) ),[0,1,1],$fot(join(X_61,Y))]]) ).

cnf(refute_0_344,plain,
    ( meet(join(Y,X_61),meet(X_60,join(X_61,join(Y,X_61)))) != meet(join(Y,X_61),X_60)
    | meet(join(Y,X_61),meet(X_60,join(X_61,Y))) = meet(join(Y,X_61),X_60) ),
    inference(resolve,[$cnf( $equal(join(X_61,join(Y,X_61)),join(X_61,Y)) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    meet(join(Y,X_61),meet(X_60,join(X_61,Y))) = meet(join(Y,X_61),X_60),
    inference(resolve,[$cnf( $equal(meet(join(Y,X_61),meet(X_60,join(X_61,join(Y,X_61)))),meet(join(Y,X_61),X_60)) )],[refute_0_341,refute_0_344]) ).

cnf(refute_0_346,plain,
    meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))) = meet(join(X_63,X_64),X_16),
    inference(subst,[],[refute_0_345:[bind(Y,$fot(X_63)),bind(X_60,$fot(X_16)),bind(X_61,$fot(X_64))]]) ).

cnf(refute_0_347,plain,
    ( meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))) != meet(X_16,join(X_64,X_63))
    | meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))) != meet(join(X_63,X_64),X_16)
    | meet(join(X_63,X_64),X_16) = meet(X_16,join(X_64,X_63)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))),meet(X_16,join(X_64,X_63))) ),[0],$fot(meet(join(X_63,X_64),X_16))]]) ).

cnf(refute_0_348,plain,
    ( meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))) != meet(X_16,join(X_64,X_63))
    | meet(join(X_63,X_64),X_16) = meet(X_16,join(X_64,X_63)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))),meet(join(X_63,X_64),X_16)) )],[refute_0_346,refute_0_347]) ).

cnf(refute_0_349,plain,
    meet(join(X_63,X_64),X_16) = meet(X_16,join(X_64,X_63)),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_16,join(X_64,X_63))),meet(X_16,join(X_64,X_63))) )],[refute_0_331,refute_0_348]) ).

cnf(refute_0_350,plain,
    meet(join(X_63,meet(X_176,X_177)),X_16) = meet(X_16,join(meet(X_176,X_177),X_63)),
    inference(subst,[],[refute_0_349:[bind(X_64,$fot(meet(X_176,X_177)))]]) ).

cnf(refute_0_351,plain,
    join(X,join(X_19,X_20)) = join(join(X_19,X_20),X),
    inference(subst,[],[commutativity_of_join:[bind(Y,$fot(join(X_19,X_20)))]]) ).

cnf(refute_0_352,plain,
    ( join(X,join(X_19,X_20)) != join(join(X_19,X_20),X)
    | join(join(X_19,X_20),X) != join(X_19,join(X_20,X))
    | join(X,join(X_19,X_20)) = join(X_19,join(X_20,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X,join(X_19,X_20)),join(X_19,join(X_20,X))) ),[0],$fot(join(join(X_19,X_20),X))]]) ).

cnf(refute_0_353,plain,
    ( join(X,join(X_19,X_20)) != join(join(X_19,X_20),X)
    | join(X,join(X_19,X_20)) = join(X_19,join(X_20,X)) ),
    inference(resolve,[$cnf( $equal(join(join(X_19,X_20),X),join(X_19,join(X_20,X))) )],[refute_0_75,refute_0_352]) ).

cnf(refute_0_354,plain,
    join(X,join(X_19,X_20)) = join(X_19,join(X_20,X)),
    inference(resolve,[$cnf( $equal(join(X,join(X_19,X_20)),join(join(X_19,X_20),X)) )],[refute_0_351,refute_0_353]) ).

cnf(refute_0_355,plain,
    join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))) = join(X_43,join(meet(X_15,X_11),meet(X_11,X_15))),
    inference(subst,[],[refute_0_354:[bind(X,$fot(meet(X_11,X_15))),bind(X_19,$fot(X_43)),bind(X_20,$fot(meet(X_15,X_11)))]]) ).

cnf(refute_0_356,plain,
    ( join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))) != join(X_43,join(meet(X_15,X_11),meet(X_11,X_15)))
    | join(meet(X_15,X_11),meet(X_11,X_15)) != meet(X_15,X_11)
    | join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))) = join(X_43,meet(X_15,X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))),join(X_43,join(meet(X_15,X_11),meet(X_11,X_15)))) ),[1,1],$fot(meet(X_15,X_11))]]) ).

cnf(refute_0_357,plain,
    ( join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))) != join(X_43,join(meet(X_15,X_11),meet(X_11,X_15)))
    | join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))) = join(X_43,meet(X_15,X_11)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_11),meet(X_11,X_15)),meet(X_15,X_11)) )],[refute_0_91,refute_0_356]) ).

cnf(refute_0_358,plain,
    join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))) = join(X_43,meet(X_15,X_11)),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))),join(X_43,join(meet(X_15,X_11),meet(X_11,X_15)))) )],[refute_0_355,refute_0_357]) ).

cnf(refute_0_359,plain,
    join(join(X_19,X_20),X_21) = join(X_19,join(X_20,X_21)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_19)),bind(Y,$fot(X_20)),bind(Z,$fot(X_21))]]) ).

cnf(refute_0_360,plain,
    join(X_20,X_19) = join(X_19,X_20),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_20)),bind(Y,$fot(X_19))]]) ).

cnf(refute_0_361,plain,
    ( join(X_20,X_19) != join(X_19,X_20)
    | join(X_19,X_20) = join(X_20,X_19) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_20,X_19))),bind(Y0,$fot(join(X_19,X_20)))]]) ).

cnf(refute_0_362,plain,
    join(X_19,X_20) = join(X_20,X_19),
    inference(resolve,[$cnf( $equal(join(X_20,X_19),join(X_19,X_20)) )],[refute_0_360,refute_0_361]) ).

cnf(refute_0_363,plain,
    ( join(X_19,X_20) != join(X_20,X_19)
    | join(join(X_19,X_20),X_21) != join(X_19,join(X_20,X_21))
    | join(join(X_20,X_19),X_21) = join(X_19,join(X_20,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_19,X_20),X_21),join(X_19,join(X_20,X_21))) ),[0,0],$fot(join(X_20,X_19))]]) ).

cnf(refute_0_364,plain,
    ( join(join(X_19,X_20),X_21) != join(X_19,join(X_20,X_21))
    | join(join(X_20,X_19),X_21) = join(X_19,join(X_20,X_21)) ),
    inference(resolve,[$cnf( $equal(join(X_19,X_20),join(X_20,X_19)) )],[refute_0_362,refute_0_363]) ).

cnf(refute_0_365,plain,
    join(join(X_20,X_19),X_21) = join(X_19,join(X_20,X_21)),
    inference(resolve,[$cnf( $equal(join(join(X_19,X_20),X_21),join(X_19,join(X_20,X_21))) )],[refute_0_359,refute_0_364]) ).

cnf(refute_0_366,plain,
    join(join(X_20,X_19),X_21) = join(X_20,join(X_19,X_21)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_20)),bind(Y,$fot(X_19)),bind(Z,$fot(X_21))]]) ).

cnf(refute_0_367,plain,
    ( join(join(X_20,X_19),X_21) != join(X_19,join(X_20,X_21))
    | join(join(X_20,X_19),X_21) != join(X_20,join(X_19,X_21))
    | join(X_20,join(X_19,X_21)) = join(X_19,join(X_20,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_20,X_19),X_21),join(X_19,join(X_20,X_21))) ),[0],$fot(join(X_20,join(X_19,X_21)))]]) ).

cnf(refute_0_368,plain,
    ( join(join(X_20,X_19),X_21) != join(X_19,join(X_20,X_21))
    | join(X_20,join(X_19,X_21)) = join(X_19,join(X_20,X_21)) ),
    inference(resolve,[$cnf( $equal(join(join(X_20,X_19),X_21),join(X_20,join(X_19,X_21))) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    join(X_20,join(X_19,X_21)) = join(X_19,join(X_20,X_21)),
    inference(resolve,[$cnf( $equal(join(join(X_20,X_19),X_21),join(X_19,join(X_20,X_21))) )],[refute_0_365,refute_0_368]) ).

cnf(refute_0_370,plain,
    join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))) = join(X_19,join(meet(X_35,X_34),meet(X_34,X_35))),
    inference(subst,[],[refute_0_369:[bind(X_20,$fot(meet(X_35,X_34))),bind(X_21,$fot(meet(X_34,X_35)))]]) ).

cnf(refute_0_371,plain,
    ( join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))) != join(X_19,join(meet(X_35,X_34),meet(X_34,X_35)))
    | join(meet(X_35,X_34),meet(X_34,X_35)) != meet(X_35,X_34)
    | join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))) = join(X_19,meet(X_35,X_34)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))),join(X_19,join(meet(X_35,X_34),meet(X_34,X_35)))) ),[1,1],$fot(meet(X_35,X_34))]]) ).

cnf(refute_0_372,plain,
    ( join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))) != join(X_19,join(meet(X_35,X_34),meet(X_34,X_35)))
    | join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))) = join(X_19,meet(X_35,X_34)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_35,X_34),meet(X_34,X_35)),meet(X_35,X_34)) )],[refute_0_92,refute_0_371]) ).

cnf(refute_0_373,plain,
    join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))) = join(X_19,meet(X_35,X_34)),
    inference(resolve,[$cnf( $equal(join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))),join(X_19,join(meet(X_35,X_34),meet(X_34,X_35)))) )],[refute_0_370,refute_0_372]) ).

cnf(refute_0_374,plain,
    join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))) = join(X_43,meet(X_11,X_15)),
    inference(subst,[],[refute_0_373:[bind(X_19,$fot(X_43)),bind(X_34,$fot(X_15)),bind(X_35,$fot(X_11))]]) ).

cnf(refute_0_375,plain,
    ( join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))) != join(X_43,meet(X_11,X_15))
    | join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))) != join(X_43,meet(X_15,X_11))
    | join(X_43,meet(X_11,X_15)) = join(X_43,meet(X_15,X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))),join(X_43,meet(X_15,X_11))) ),[0],$fot(join(X_43,meet(X_11,X_15)))]]) ).

cnf(refute_0_376,plain,
    ( join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))) != join(X_43,meet(X_15,X_11))
    | join(X_43,meet(X_11,X_15)) = join(X_43,meet(X_15,X_11)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))),join(X_43,meet(X_11,X_15))) )],[refute_0_374,refute_0_375]) ).

cnf(refute_0_377,plain,
    join(X_43,meet(X_11,X_15)) = join(X_43,meet(X_15,X_11)),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_15),join(X_43,meet(X_15,X_11))),join(X_43,meet(X_15,X_11))) )],[refute_0_358,refute_0_376]) ).

cnf(refute_0_378,plain,
    join(X_63,meet(X_176,X_177)) = join(X_63,meet(X_177,X_176)),
    inference(subst,[],[refute_0_377:[bind(X_11,$fot(X_176)),bind(X_15,$fot(X_177)),bind(X_43,$fot(X_63))]]) ).

cnf(refute_0_379,plain,
    ( join(X_63,meet(X_176,X_177)) != join(X_63,meet(X_177,X_176))
    | meet(join(X_63,meet(X_176,X_177)),X_16) != meet(X_16,join(meet(X_176,X_177),X_63))
    | meet(join(X_63,meet(X_177,X_176)),X_16) = meet(X_16,join(meet(X_176,X_177),X_63)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_63,meet(X_176,X_177)),X_16),meet(X_16,join(meet(X_176,X_177),X_63))) ),[0,0],$fot(join(X_63,meet(X_177,X_176)))]]) ).

cnf(refute_0_380,plain,
    ( meet(join(X_63,meet(X_176,X_177)),X_16) != meet(X_16,join(meet(X_176,X_177),X_63))
    | meet(join(X_63,meet(X_177,X_176)),X_16) = meet(X_16,join(meet(X_176,X_177),X_63)) ),
    inference(resolve,[$cnf( $equal(join(X_63,meet(X_176,X_177)),join(X_63,meet(X_177,X_176))) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    meet(join(X_63,meet(X_177,X_176)),X_16) = meet(X_16,join(meet(X_176,X_177),X_63)),
    inference(resolve,[$cnf( $equal(meet(join(X_63,meet(X_176,X_177)),X_16),meet(X_16,join(meet(X_176,X_177),X_63))) )],[refute_0_350,refute_0_380]) ).

cnf(refute_0_382,plain,
    meet(join(X_181,meet(X_16,X_180)),X_16) = meet(X_16,join(meet(X_180,X_16),X_181)),
    inference(subst,[],[refute_0_381:[bind(X_176,$fot(X_180)),bind(X_177,$fot(X_16)),bind(X_63,$fot(X_181))]]) ).

cnf(refute_0_383,plain,
    meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_25,join(X_156,meet(X_154,X_25))))) = meet(join(X_156,meet(X_154,X_25)),Y),
    inference(subst,[],[refute_0_340:[bind(X_26,$fot(join(X_156,meet(X_154,X_25))))]]) ).

cnf(refute_0_384,plain,
    join(X_32,join(X_31,meet(X_11,X_31))) = join(X_31,join(X_32,meet(X_11,X_31))),
    inference(subst,[],[refute_0_369:[bind(X_19,$fot(X_31)),bind(X_20,$fot(X_32)),bind(X_21,$fot(meet(X_11,X_31)))]]) ).

cnf(refute_0_385,plain,
    join(X_31,meet(X_11,X_31)) = X_31,
    inference(subst,[],[refute_0_86:[bind(X_10,$fot(X_31))]]) ).

cnf(refute_0_386,plain,
    ( join(X_31,meet(X_11,X_31)) != X_31
    | join(X_32,join(X_31,meet(X_11,X_31))) != join(X_31,join(X_32,meet(X_11,X_31)))
    | join(X_32,X_31) = join(X_31,join(X_32,meet(X_11,X_31))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,join(X_31,meet(X_11,X_31))),join(X_31,join(X_32,meet(X_11,X_31)))) ),[0,1],$fot(X_31)]]) ).

cnf(refute_0_387,plain,
    ( join(X_32,join(X_31,meet(X_11,X_31))) != join(X_31,join(X_32,meet(X_11,X_31)))
    | join(X_32,X_31) = join(X_31,join(X_32,meet(X_11,X_31))) ),
    inference(resolve,[$cnf( $equal(join(X_31,meet(X_11,X_31)),X_31) )],[refute_0_385,refute_0_386]) ).

cnf(refute_0_388,plain,
    join(X_32,X_31) = join(X_31,join(X_32,meet(X_11,X_31))),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_31,meet(X_11,X_31))),join(X_31,join(X_32,meet(X_11,X_31)))) )],[refute_0_384,refute_0_387]) ).

cnf(refute_0_389,plain,
    join(X_156,X_25) = join(X_25,join(X_156,meet(X_154,X_25))),
    inference(subst,[],[refute_0_388:[bind(X_11,$fot(X_154)),bind(X_31,$fot(X_25)),bind(X_32,$fot(X_156))]]) ).

cnf(refute_0_390,plain,
    ( join(X_156,X_25) != join(X_25,join(X_156,meet(X_154,X_25)))
    | join(X_25,join(X_156,meet(X_154,X_25))) = join(X_156,X_25) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_156,X_25))),bind(Y0,$fot(join(X_25,join(X_156,meet(X_154,X_25)))))]]) ).

cnf(refute_0_391,plain,
    join(X_25,join(X_156,meet(X_154,X_25))) = join(X_156,X_25),
    inference(resolve,[$cnf( $equal(join(X_156,X_25),join(X_25,join(X_156,meet(X_154,X_25)))) )],[refute_0_389,refute_0_390]) ).

cnf(refute_0_392,plain,
    ( join(X_25,join(X_156,meet(X_154,X_25))) != join(X_156,X_25)
    | meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_25,join(X_156,meet(X_154,X_25))))) != meet(join(X_156,meet(X_154,X_25)),Y)
    | meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_156,X_25))) = meet(join(X_156,meet(X_154,X_25)),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_25,join(X_156,meet(X_154,X_25))))),meet(join(X_156,meet(X_154,X_25)),Y)) ),[0,1,1],$fot(join(X_156,X_25))]]) ).

cnf(refute_0_393,plain,
    ( meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_25,join(X_156,meet(X_154,X_25))))) != meet(join(X_156,meet(X_154,X_25)),Y)
    | meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_156,X_25))) = meet(join(X_156,meet(X_154,X_25)),Y) ),
    inference(resolve,[$cnf( $equal(join(X_25,join(X_156,meet(X_154,X_25))),join(X_156,X_25)) )],[refute_0_391,refute_0_392]) ).

cnf(refute_0_394,plain,
    meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_156,X_25))) = meet(join(X_156,meet(X_154,X_25)),Y),
    inference(resolve,[$cnf( $equal(meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_25,join(X_156,meet(X_154,X_25))))),meet(join(X_156,meet(X_154,X_25)),Y)) )],[refute_0_383,refute_0_393]) ).

cnf(refute_0_395,plain,
    meet(Y,meet(meet(X_16,X_17),Y)) = meet(Y,meet(X_16,X_17)),
    inference(subst,[],[refute_0_46:[bind(X_11,$fot(meet(X_16,X_17)))]]) ).

cnf(refute_0_396,plain,
    meet(meet(X_16,X_17),Y) = meet(X_16,meet(X_17,Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_397,plain,
    ( meet(Y,meet(meet(X_16,X_17),Y)) != meet(Y,meet(X_16,X_17))
    | meet(meet(X_16,X_17),Y) != meet(X_16,meet(X_17,Y))
    | meet(Y,meet(X_16,meet(X_17,Y))) = meet(Y,meet(X_16,X_17)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(Y,meet(meet(X_16,X_17),Y)),meet(Y,meet(X_16,X_17))) ),[0,1],$fot(meet(X_16,meet(X_17,Y)))]]) ).

cnf(refute_0_398,plain,
    ( meet(Y,meet(meet(X_16,X_17),Y)) != meet(Y,meet(X_16,X_17))
    | meet(Y,meet(X_16,meet(X_17,Y))) = meet(Y,meet(X_16,X_17)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),Y),meet(X_16,meet(X_17,Y))) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    meet(Y,meet(X_16,meet(X_17,Y))) = meet(Y,meet(X_16,X_17)),
    inference(resolve,[$cnf( $equal(meet(Y,meet(meet(X_16,X_17),Y)),meet(Y,meet(X_16,X_17))) )],[refute_0_395,refute_0_398]) ).

cnf(refute_0_400,plain,
    meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))) = meet(join(X_63,X_64),meet(X_149,X_150)),
    inference(subst,[],[refute_0_399:[bind(Y,$fot(join(X_63,X_64))),bind(X_16,$fot(X_149)),bind(X_17,$fot(X_150))]]) ).

cnf(refute_0_401,plain,
    meet(join(X_63,X_64),meet(X_149,X_150)) = meet(meet(X_149,X_150),join(X_64,X_63)),
    inference(subst,[],[refute_0_349:[bind(X_16,$fot(meet(X_149,X_150)))]]) ).

cnf(refute_0_402,plain,
    ( meet(join(X_63,X_64),meet(X_149,X_150)) != meet(meet(X_149,X_150),join(X_64,X_63))
    | meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))) != meet(join(X_63,X_64),meet(X_149,X_150))
    | meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))) = meet(meet(X_149,X_150),join(X_64,X_63)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))),meet(join(X_63,X_64),meet(X_149,X_150))) ),[1],$fot(meet(meet(X_149,X_150),join(X_64,X_63)))]]) ).

cnf(refute_0_403,plain,
    ( meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))) != meet(join(X_63,X_64),meet(X_149,X_150))
    | meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))) = meet(meet(X_149,X_150),join(X_64,X_63)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_149,X_150)),meet(meet(X_149,X_150),join(X_64,X_63))) )],[refute_0_401,refute_0_402]) ).

cnf(refute_0_404,plain,
    meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))) = meet(meet(X_149,X_150),join(X_64,X_63)),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))),meet(join(X_63,X_64),meet(X_149,X_150))) )],[refute_0_400,refute_0_403]) ).

cnf(refute_0_405,plain,
    ( meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))) != meet(join(X_63,X_64),meet(X_149,X_150))
    | meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))) != meet(meet(X_149,X_150),join(X_64,X_63))
    | meet(join(X_63,X_64),meet(X_149,X_150)) = meet(meet(X_149,X_150),join(X_64,X_63)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))),meet(meet(X_149,X_150),join(X_64,X_63))) ),[0],$fot(meet(join(X_63,X_64),meet(X_149,X_150)))]]) ).

cnf(refute_0_406,plain,
    ( meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))) != meet(meet(X_149,X_150),join(X_64,X_63))
    | meet(join(X_63,X_64),meet(X_149,X_150)) = meet(meet(X_149,X_150),join(X_64,X_63)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))),meet(join(X_63,X_64),meet(X_149,X_150))) )],[refute_0_400,refute_0_405]) ).

cnf(refute_0_407,plain,
    meet(meet(X_149,X_150),join(X_64,X_63)) = meet(X_149,meet(X_150,join(X_64,X_63))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_149)),bind(Y,$fot(X_150)),bind(Z,$fot(join(X_64,X_63)))]]) ).

cnf(refute_0_408,plain,
    ( meet(join(X_63,X_64),meet(X_149,X_150)) != meet(meet(X_149,X_150),join(X_64,X_63))
    | meet(meet(X_149,X_150),join(X_64,X_63)) != meet(X_149,meet(X_150,join(X_64,X_63)))
    | meet(join(X_63,X_64),meet(X_149,X_150)) = meet(X_149,meet(X_150,join(X_64,X_63))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_63,X_64),meet(X_149,X_150)),meet(X_149,meet(X_150,join(X_64,X_63)))) ),[0],$fot(meet(meet(X_149,X_150),join(X_64,X_63)))]]) ).

cnf(refute_0_409,plain,
    ( meet(join(X_63,X_64),meet(X_149,X_150)) != meet(meet(X_149,X_150),join(X_64,X_63))
    | meet(join(X_63,X_64),meet(X_149,X_150)) = meet(X_149,meet(X_150,join(X_64,X_63))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_149,X_150),join(X_64,X_63)),meet(X_149,meet(X_150,join(X_64,X_63)))) )],[refute_0_407,refute_0_408]) ).

cnf(refute_0_410,plain,
    ( meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))) != meet(meet(X_149,X_150),join(X_64,X_63))
    | meet(join(X_63,X_64),meet(X_149,X_150)) = meet(X_149,meet(X_150,join(X_64,X_63))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_149,X_150)),meet(meet(X_149,X_150),join(X_64,X_63))) )],[refute_0_406,refute_0_409]) ).

cnf(refute_0_411,plain,
    meet(join(X_63,X_64),meet(X_149,X_150)) = meet(X_149,meet(X_150,join(X_64,X_63))),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_149,meet(X_150,join(X_63,X_64)))),meet(meet(X_149,X_150),join(X_64,X_63))) )],[refute_0_404,refute_0_410]) ).

cnf(refute_0_412,plain,
    ( meet(join(X_63,X_64),meet(X_149,X_150)) != meet(X_149,meet(X_150,join(X_64,X_63)))
    | meet(X_149,meet(X_150,join(X_64,X_63))) = meet(join(X_63,X_64),meet(X_149,X_150)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(join(X_63,X_64),meet(X_149,X_150)))),bind(Y0,$fot(meet(X_149,meet(X_150,join(X_64,X_63)))))]]) ).

cnf(refute_0_413,plain,
    meet(X_149,meet(X_150,join(X_64,X_63))) = meet(join(X_63,X_64),meet(X_149,X_150)),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_149,X_150)),meet(X_149,meet(X_150,join(X_64,X_63)))) )],[refute_0_411,refute_0_412]) ).

cnf(refute_0_414,plain,
    meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_156,X_25))) = meet(join(X_25,X_156),meet(join(X_156,meet(X_154,X_25)),Y)),
    inference(subst,[],[refute_0_413:[bind(X_149,$fot(join(X_156,meet(X_154,X_25)))),bind(X_150,$fot(Y)),bind(X_63,$fot(X_25)),bind(X_64,$fot(X_156))]]) ).

cnf(refute_0_415,plain,
    ( meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_156,X_25))) != meet(join(X_156,meet(X_154,X_25)),Y)
    | meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_156,X_25))) != meet(join(X_25,X_156),meet(join(X_156,meet(X_154,X_25)),Y))
    | meet(join(X_25,X_156),meet(join(X_156,meet(X_154,X_25)),Y)) = meet(join(X_156,meet(X_154,X_25)),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_156,X_25))),meet(join(X_156,meet(X_154,X_25)),Y)) ),[0],$fot(meet(join(X_25,X_156),meet(join(X_156,meet(X_154,X_25)),Y)))]]) ).

cnf(refute_0_416,plain,
    ( meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_156,X_25))) != meet(join(X_156,meet(X_154,X_25)),Y)
    | meet(join(X_25,X_156),meet(join(X_156,meet(X_154,X_25)),Y)) = meet(join(X_156,meet(X_154,X_25)),Y) ),
    inference(resolve,[$cnf( $equal(meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_156,X_25))),meet(join(X_25,X_156),meet(join(X_156,meet(X_154,X_25)),Y))) )],[refute_0_414,refute_0_415]) ).

cnf(refute_0_417,plain,
    meet(join(X_25,X_156),meet(join(X_156,meet(X_154,X_25)),Y)) = meet(join(X_156,meet(X_154,X_25)),Y),
    inference(resolve,[$cnf( $equal(meet(join(X_156,meet(X_154,X_25)),meet(Y,join(X_156,X_25))),meet(join(X_156,meet(X_154,X_25)),Y)) )],[refute_0_394,refute_0_416]) ).

cnf(refute_0_418,plain,
    meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)) = meet(join(X_181,meet(X_16,X_180)),X_16),
    inference(subst,[],[refute_0_417:[bind(Y,$fot(X_16)),bind(X_154,$fot(X_16)),bind(X_156,$fot(X_181)),bind(X_25,$fot(X_180))]]) ).

cnf(refute_0_419,plain,
    ( meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)) != meet(join(X_181,meet(X_16,X_180)),X_16)
    | meet(join(X_181,meet(X_16,X_180)),X_16) != meet(X_16,join(meet(X_180,X_16),X_181))
    | meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)) = meet(X_16,join(meet(X_180,X_16),X_181)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)))),bind(Y0,$fot(meet(join(X_181,meet(X_16,X_180)),X_16))),bind(Z0,$fot(meet(X_16,join(meet(X_180,X_16),X_181))))]]) ).

cnf(refute_0_420,plain,
    ( meet(join(X_181,meet(X_16,X_180)),X_16) != meet(X_16,join(meet(X_180,X_16),X_181))
    | meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)) = meet(X_16,join(meet(X_180,X_16),X_181)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)),meet(join(X_181,meet(X_16,X_180)),X_16)) )],[refute_0_418,refute_0_419]) ).

cnf(refute_0_421,plain,
    meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)) = meet(X_16,join(meet(X_180,X_16),X_181)),
    inference(resolve,[$cnf( $equal(meet(join(X_181,meet(X_16,X_180)),X_16),meet(X_16,join(meet(X_180,X_16),X_181))) )],[refute_0_382,refute_0_420]) ).

cnf(refute_0_422,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,meet(X_17,X_171))))) = join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))),
    inference(subst,[],[refute_0_124:[bind(X_11,$fot(X_170)),bind(X_39,$fot(X_171)),bind(X_40,$fot(meet(X_16,meet(X_17,X_171))))]]) ).

cnf(refute_0_423,plain,
    meet(X_171,meet(X_16,meet(X_17,X_171))) = meet(X_171,meet(X_16,X_17)),
    inference(subst,[],[refute_0_399:[bind(Y,$fot(X_171))]]) ).

cnf(refute_0_424,plain,
    ( meet(X_171,meet(X_16,meet(X_17,X_171))) != meet(X_171,meet(X_16,X_17))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,meet(X_17,X_171))))) != join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) = join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,meet(X_17,X_171))))),join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))) ),[0,1,1],$fot(meet(X_171,meet(X_16,X_17)))]]) ).

cnf(refute_0_425,plain,
    ( meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,meet(X_17,X_171))))) != join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) = join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    inference(resolve,[$cnf( $equal(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17))) )],[refute_0_423,refute_0_424]) ).

cnf(refute_0_426,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) = join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,meet(X_17,X_171))))),join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))) )],[refute_0_422,refute_0_425]) ).

cnf(refute_0_427,plain,
    join(join(X_19,meet(X_19,Y)),X_21) = join(X_19,join(meet(X_19,Y),X_21)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_19)),bind(Y,$fot(meet(X_19,Y))),bind(Z,$fot(X_21))]]) ).

cnf(refute_0_428,plain,
    join(X_19,meet(X_19,Y)) = X_19,
    inference(subst,[],[absorption2:[bind(X,$fot(X_19))]]) ).

cnf(refute_0_429,plain,
    ( join(X_19,meet(X_19,Y)) != X_19
    | join(join(X_19,meet(X_19,Y)),X_21) != join(X_19,join(meet(X_19,Y),X_21))
    | join(X_19,X_21) = join(X_19,join(meet(X_19,Y),X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_19,meet(X_19,Y)),X_21),join(X_19,join(meet(X_19,Y),X_21))) ),[0,0],$fot(X_19)]]) ).

cnf(refute_0_430,plain,
    ( join(join(X_19,meet(X_19,Y)),X_21) != join(X_19,join(meet(X_19,Y),X_21))
    | join(X_19,X_21) = join(X_19,join(meet(X_19,Y),X_21)) ),
    inference(resolve,[$cnf( $equal(join(X_19,meet(X_19,Y)),X_19) )],[refute_0_428,refute_0_429]) ).

cnf(refute_0_431,plain,
    join(X_19,X_21) = join(X_19,join(meet(X_19,Y),X_21)),
    inference(resolve,[$cnf( $equal(join(join(X_19,meet(X_19,Y)),X_21),join(X_19,join(meet(X_19,Y),X_21))) )],[refute_0_427,refute_0_430]) ).

cnf(refute_0_432,plain,
    join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) = join(X_19,join(meet(X_19,Y),meet(X_84,meet(X_85,meet(X_19,Y))))),
    inference(subst,[],[refute_0_431:[bind(X_21,$fot(meet(X_84,meet(X_85,meet(X_19,Y)))))]]) ).

cnf(refute_0_433,plain,
    join(meet(X_19,Y),meet(X_84,meet(X_85,meet(X_19,Y)))) = meet(X_19,Y),
    inference(subst,[],[refute_0_131:[bind(X_10,$fot(meet(X_19,Y))),bind(X_16,$fot(X_84)),bind(X_17,$fot(X_85))]]) ).

cnf(refute_0_434,plain,
    ( join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) != join(X_19,join(meet(X_19,Y),meet(X_84,meet(X_85,meet(X_19,Y)))))
    | join(meet(X_19,Y),meet(X_84,meet(X_85,meet(X_19,Y)))) != meet(X_19,Y)
    | join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) = join(X_19,meet(X_19,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))),join(X_19,join(meet(X_19,Y),meet(X_84,meet(X_85,meet(X_19,Y)))))) ),[1,1],$fot(meet(X_19,Y))]]) ).

cnf(refute_0_435,plain,
    ( join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) != join(X_19,join(meet(X_19,Y),meet(X_84,meet(X_85,meet(X_19,Y)))))
    | join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) = join(X_19,meet(X_19,Y)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_19,Y),meet(X_84,meet(X_85,meet(X_19,Y)))),meet(X_19,Y)) )],[refute_0_433,refute_0_434]) ).

cnf(refute_0_436,plain,
    join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) = join(X_19,meet(X_19,Y)),
    inference(resolve,[$cnf( $equal(join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))),join(X_19,join(meet(X_19,Y),meet(X_84,meet(X_85,meet(X_19,Y)))))) )],[refute_0_432,refute_0_435]) ).

cnf(refute_0_437,plain,
    ( join(X_19,meet(X_19,Y)) != X_19
    | join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) != join(X_19,meet(X_19,Y))
    | join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) = X_19 ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))),join(X_19,meet(X_19,Y))) ),[1],$fot(X_19)]]) ).

cnf(refute_0_438,plain,
    ( join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) != join(X_19,meet(X_19,Y))
    | join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) = X_19 ),
    inference(resolve,[$cnf( $equal(join(X_19,meet(X_19,Y)),X_19) )],[refute_0_428,refute_0_437]) ).

cnf(refute_0_439,plain,
    join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))) = X_19,
    inference(resolve,[$cnf( $equal(join(X_19,meet(X_84,meet(X_85,meet(X_19,Y)))),join(X_19,meet(X_19,Y))) )],[refute_0_436,refute_0_438]) ).

cnf(refute_0_440,plain,
    join(X_171,meet(X_16,meet(X_17,meet(X_171,X_170)))) = X_171,
    inference(subst,[],[refute_0_439:[bind(Y,$fot(X_170)),bind(X_19,$fot(X_171)),bind(X_84,$fot(X_16)),bind(X_85,$fot(X_17))]]) ).

cnf(refute_0_441,plain,
    meet(meet(X_17,X_171),X_170) = meet(X_17,meet(X_171,X_170)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_17)),bind(Y,$fot(X_171)),bind(Z,$fot(X_170))]]) ).

cnf(refute_0_442,plain,
    meet(X_16,meet(meet(X_17,X_171),X_170)) = meet(X_16,meet(meet(X_17,X_171),X_170)),
    introduced(tautology,[refl,[$fot(meet(X_16,meet(meet(X_17,X_171),X_170)))]]) ).

cnf(refute_0_443,plain,
    ( meet(X_16,meet(meet(X_17,X_171),X_170)) != meet(X_16,meet(meet(X_17,X_171),X_170))
    | meet(meet(X_17,X_171),X_170) != meet(X_17,meet(X_171,X_170))
    | meet(X_16,meet(meet(X_17,X_171),X_170)) = meet(X_16,meet(X_17,meet(X_171,X_170))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_16,meet(meet(X_17,X_171),X_170)),meet(X_16,meet(meet(X_17,X_171),X_170))) ),[1,1],$fot(meet(X_17,meet(X_171,X_170)))]]) ).

cnf(refute_0_444,plain,
    ( meet(meet(X_17,X_171),X_170) != meet(X_17,meet(X_171,X_170))
    | meet(X_16,meet(meet(X_17,X_171),X_170)) = meet(X_16,meet(X_17,meet(X_171,X_170))) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(meet(X_17,X_171),X_170)),meet(X_16,meet(meet(X_17,X_171),X_170))) )],[refute_0_442,refute_0_443]) ).

cnf(refute_0_445,plain,
    meet(X_16,meet(meet(X_17,X_171),X_170)) = meet(X_16,meet(X_17,meet(X_171,X_170))),
    inference(resolve,[$cnf( $equal(meet(meet(X_17,X_171),X_170),meet(X_17,meet(X_171,X_170))) )],[refute_0_441,refute_0_444]) ).

cnf(refute_0_446,plain,
    meet(meet(X_16,meet(X_17,X_171)),X_170) = meet(X_16,meet(meet(X_17,X_171),X_170)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(meet(X_17,X_171))),bind(Z,$fot(X_170))]]) ).

cnf(refute_0_447,plain,
    ( meet(X_16,meet(meet(X_17,X_171),X_170)) != meet(X_16,meet(X_17,meet(X_171,X_170)))
    | meet(meet(X_16,meet(X_17,X_171)),X_170) != meet(X_16,meet(meet(X_17,X_171),X_170))
    | meet(meet(X_16,meet(X_17,X_171)),X_170) = meet(X_16,meet(X_17,meet(X_171,X_170))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_16,meet(X_17,X_171)),X_170))),bind(Y0,$fot(meet(X_16,meet(meet(X_17,X_171),X_170)))),bind(Z0,$fot(meet(X_16,meet(X_17,meet(X_171,X_170)))))]]) ).

cnf(refute_0_448,plain,
    ( meet(X_16,meet(meet(X_17,X_171),X_170)) != meet(X_16,meet(X_17,meet(X_171,X_170)))
    | meet(meet(X_16,meet(X_17,X_171)),X_170) = meet(X_16,meet(X_17,meet(X_171,X_170))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,meet(X_17,X_171)),X_170),meet(X_16,meet(meet(X_17,X_171),X_170))) )],[refute_0_446,refute_0_447]) ).

cnf(refute_0_449,plain,
    meet(meet(X_16,meet(X_17,X_171)),X_170) = meet(X_16,meet(X_17,meet(X_171,X_170))),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(meet(X_17,X_171),X_170)),meet(X_16,meet(X_17,meet(X_171,X_170)))) )],[refute_0_445,refute_0_448]) ).

cnf(refute_0_450,plain,
    join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) = join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),
    introduced(tautology,[refl,[$fot(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)))]]) ).

cnf(refute_0_451,plain,
    ( join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) != join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170))
    | meet(meet(X_16,meet(X_17,X_171)),X_170) != meet(X_16,meet(X_17,meet(X_171,X_170)))
    | join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) = join(X_171,meet(X_16,meet(X_17,meet(X_171,X_170)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170))) ),[1,1],$fot(meet(X_16,meet(X_17,meet(X_171,X_170))))]]) ).

cnf(refute_0_452,plain,
    ( meet(meet(X_16,meet(X_17,X_171)),X_170) != meet(X_16,meet(X_17,meet(X_171,X_170)))
    | join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) = join(X_171,meet(X_16,meet(X_17,meet(X_171,X_170)))) ),
    inference(resolve,[$cnf( $equal(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170))) )],[refute_0_450,refute_0_451]) ).

cnf(refute_0_453,plain,
    join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) = join(X_171,meet(X_16,meet(X_17,meet(X_171,X_170)))),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,meet(X_17,X_171)),X_170),meet(X_16,meet(X_17,meet(X_171,X_170)))) )],[refute_0_449,refute_0_452]) ).

cnf(refute_0_454,plain,
    ( join(X_171,meet(X_16,meet(X_17,meet(X_171,X_170)))) != X_171
    | join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) != join(X_171,meet(X_16,meet(X_17,meet(X_171,X_170))))
    | join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) = X_171 ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)))),bind(Y0,$fot(join(X_171,meet(X_16,meet(X_17,meet(X_171,X_170)))))),bind(Z0,$fot(X_171))]]) ).

cnf(refute_0_455,plain,
    ( join(X_171,meet(X_16,meet(X_17,meet(X_171,X_170)))) != X_171
    | join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) = X_171 ),
    inference(resolve,[$cnf( $equal(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(X_171,meet(X_16,meet(X_17,meet(X_171,X_170))))) )],[refute_0_453,refute_0_454]) ).

cnf(refute_0_456,plain,
    join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) = X_171,
    inference(resolve,[$cnf( $equal(join(X_171,meet(X_16,meet(X_17,meet(X_171,X_170)))),X_171) )],[refute_0_440,refute_0_455]) ).

cnf(refute_0_457,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),
    introduced(tautology,[refl,[$fot(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))))]]) ).

cnf(refute_0_458,plain,
    ( join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) != X_171
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))) ),[1,0],$fot(X_171)]]) ).

cnf(refute_0_459,plain,
    ( join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)) != X_171
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))) )],[refute_0_457,refute_0_458]) ).

cnf(refute_0_460,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),
    inference(resolve,[$cnf( $equal(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),X_171) )],[refute_0_456,refute_0_459]) ).

cnf(refute_0_461,plain,
    meet(X_37,X_38) = meet(X_37,meet(join(X_37,join(X_20,X_21)),X_38)),
    inference(subst,[],[refute_0_145:[bind(Y,$fot(join(X_20,X_21))),bind(X_16,$fot(X_37)),bind(X_18,$fot(X_38))]]) ).

cnf(refute_0_462,plain,
    join(X_20,join(X_37,X_21)) = join(X_37,join(X_20,X_21)),
    inference(subst,[],[refute_0_369:[bind(X_19,$fot(X_37))]]) ).

cnf(refute_0_463,plain,
    ( join(X_20,join(X_37,X_21)) != join(X_37,join(X_20,X_21))
    | join(X_37,join(X_20,X_21)) = join(X_20,join(X_37,X_21)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_20,join(X_37,X_21)))),bind(Y0,$fot(join(X_37,join(X_20,X_21))))]]) ).

cnf(refute_0_464,plain,
    join(X_37,join(X_20,X_21)) = join(X_20,join(X_37,X_21)),
    inference(resolve,[$cnf( $equal(join(X_20,join(X_37,X_21)),join(X_37,join(X_20,X_21))) )],[refute_0_462,refute_0_463]) ).

cnf(refute_0_465,plain,
    ( join(X_37,join(X_20,X_21)) != join(X_20,join(X_37,X_21))
    | meet(X_37,X_38) != meet(X_37,meet(join(X_37,join(X_20,X_21)),X_38))
    | meet(X_37,X_38) = meet(X_37,meet(join(X_20,join(X_37,X_21)),X_38)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_37,X_38),meet(X_37,meet(join(X_37,join(X_20,X_21)),X_38))) ),[1,1,0],$fot(join(X_20,join(X_37,X_21)))]]) ).

cnf(refute_0_466,plain,
    ( meet(X_37,X_38) != meet(X_37,meet(join(X_37,join(X_20,X_21)),X_38))
    | meet(X_37,X_38) = meet(X_37,meet(join(X_20,join(X_37,X_21)),X_38)) ),
    inference(resolve,[$cnf( $equal(join(X_37,join(X_20,X_21)),join(X_20,join(X_37,X_21))) )],[refute_0_464,refute_0_465]) ).

cnf(refute_0_467,plain,
    meet(X_37,X_38) = meet(X_37,meet(join(X_20,join(X_37,X_21)),X_38)),
    inference(resolve,[$cnf( $equal(meet(X_37,X_38),meet(X_37,meet(join(X_37,join(X_20,X_21)),X_38))) )],[refute_0_461,refute_0_466]) ).

cnf(refute_0_468,plain,
    meet(X_130,join(X_64,X_63)) = meet(X_130,meet(join(X_128,join(X_130,X_129)),join(X_64,X_63))),
    inference(subst,[],[refute_0_467:[bind(X_20,$fot(X_128)),bind(X_21,$fot(X_129)),bind(X_37,$fot(X_130)),bind(X_38,$fot(join(X_64,X_63)))]]) ).

cnf(refute_0_469,plain,
    meet(join(X_63,X_64),join(X_128,join(X_130,X_129))) = meet(join(X_128,join(X_130,X_129)),join(X_64,X_63)),
    inference(subst,[],[refute_0_349:[bind(X_16,$fot(join(X_128,join(X_130,X_129))))]]) ).

cnf(refute_0_470,plain,
    ( meet(join(X_63,X_64),join(X_128,join(X_130,X_129))) != meet(join(X_128,join(X_130,X_129)),join(X_64,X_63))
    | meet(join(X_128,join(X_130,X_129)),join(X_64,X_63)) = meet(join(X_63,X_64),join(X_128,join(X_130,X_129))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(join(X_63,X_64),join(X_128,join(X_130,X_129))))),bind(Y0,$fot(meet(join(X_128,join(X_130,X_129)),join(X_64,X_63))))]]) ).

cnf(refute_0_471,plain,
    meet(join(X_128,join(X_130,X_129)),join(X_64,X_63)) = meet(join(X_63,X_64),join(X_128,join(X_130,X_129))),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),join(X_128,join(X_130,X_129))),meet(join(X_128,join(X_130,X_129)),join(X_64,X_63))) )],[refute_0_469,refute_0_470]) ).

cnf(refute_0_472,plain,
    ( meet(X_130,join(X_64,X_63)) != meet(X_130,meet(join(X_128,join(X_130,X_129)),join(X_64,X_63)))
    | meet(join(X_128,join(X_130,X_129)),join(X_64,X_63)) != meet(join(X_63,X_64),join(X_128,join(X_130,X_129)))
    | meet(X_130,join(X_64,X_63)) = meet(X_130,meet(join(X_63,X_64),join(X_128,join(X_130,X_129)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_130,join(X_64,X_63)),meet(X_130,meet(join(X_128,join(X_130,X_129)),join(X_64,X_63)))) ),[1,1],$fot(meet(join(X_63,X_64),join(X_128,join(X_130,X_129))))]]) ).

cnf(refute_0_473,plain,
    ( meet(X_130,join(X_64,X_63)) != meet(X_130,meet(join(X_128,join(X_130,X_129)),join(X_64,X_63)))
    | meet(X_130,join(X_64,X_63)) = meet(X_130,meet(join(X_63,X_64),join(X_128,join(X_130,X_129)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_128,join(X_130,X_129)),join(X_64,X_63)),meet(join(X_63,X_64),join(X_128,join(X_130,X_129)))) )],[refute_0_471,refute_0_472]) ).

cnf(refute_0_474,plain,
    meet(X_130,join(X_64,X_63)) = meet(X_130,meet(join(X_63,X_64),join(X_128,join(X_130,X_129)))),
    inference(resolve,[$cnf( $equal(meet(X_130,join(X_64,X_63)),meet(X_130,meet(join(X_128,join(X_130,X_129)),join(X_64,X_63)))) )],[refute_0_468,refute_0_473]) ).

cnf(refute_0_475,plain,
    meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) = meet(X_16,meet(join(X_16,Y),meet(X_60,join(X_61,join(X_16,Y))))),
    inference(subst,[],[refute_0_145:[bind(X_18,$fot(meet(X_60,join(X_61,join(X_16,Y)))))]]) ).

cnf(refute_0_476,plain,
    meet(join(X_16,Y),meet(X_60,join(X_61,join(X_16,Y)))) = meet(join(X_16,Y),X_60),
    inference(subst,[],[refute_0_340:[bind(Y,$fot(X_60)),bind(X_25,$fot(X_61)),bind(X_26,$fot(join(X_16,Y)))]]) ).

cnf(refute_0_477,plain,
    ( meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) != meet(X_16,meet(join(X_16,Y),meet(X_60,join(X_61,join(X_16,Y)))))
    | meet(join(X_16,Y),meet(X_60,join(X_61,join(X_16,Y)))) != meet(join(X_16,Y),X_60)
    | meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) = meet(X_16,meet(join(X_16,Y),X_60)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))),meet(X_16,meet(join(X_16,Y),meet(X_60,join(X_61,join(X_16,Y)))))) ),[1,1],$fot(meet(join(X_16,Y),X_60))]]) ).

cnf(refute_0_478,plain,
    ( meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) != meet(X_16,meet(join(X_16,Y),meet(X_60,join(X_61,join(X_16,Y)))))
    | meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) = meet(X_16,meet(join(X_16,Y),X_60)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_16,Y),meet(X_60,join(X_61,join(X_16,Y)))),meet(join(X_16,Y),X_60)) )],[refute_0_476,refute_0_477]) ).

cnf(refute_0_479,plain,
    meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) = meet(X_16,meet(join(X_16,Y),X_60)),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))),meet(X_16,meet(join(X_16,Y),meet(X_60,join(X_61,join(X_16,Y)))))) )],[refute_0_475,refute_0_478]) ).

cnf(refute_0_480,plain,
    meet(X_16,meet(join(X_16,Y),X_60)) = meet(X_16,X_60),
    inference(subst,[],[refute_0_188:[bind(X_18,$fot(X_60))]]) ).

cnf(refute_0_481,plain,
    ( meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) != meet(X_16,meet(join(X_16,Y),X_60))
    | meet(X_16,meet(join(X_16,Y),X_60)) != meet(X_16,X_60)
    | meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) = meet(X_16,X_60) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))),meet(X_16,X_60)) ),[0],$fot(meet(X_16,meet(join(X_16,Y),X_60)))]]) ).

cnf(refute_0_482,plain,
    ( meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) != meet(X_16,meet(join(X_16,Y),X_60))
    | meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) = meet(X_16,X_60) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(join(X_16,Y),X_60)),meet(X_16,X_60)) )],[refute_0_480,refute_0_481]) ).

cnf(refute_0_483,plain,
    meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))) = meet(X_16,X_60),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_60,join(X_61,join(X_16,Y)))),meet(X_16,meet(join(X_16,Y),X_60))) )],[refute_0_479,refute_0_482]) ).

cnf(refute_0_484,plain,
    meet(X_130,meet(join(X_63,X_64),join(X_128,join(X_130,X_129)))) = meet(X_130,join(X_63,X_64)),
    inference(subst,[],[refute_0_483:[bind(Y,$fot(X_129)),bind(X_16,$fot(X_130)),bind(X_60,$fot(join(X_63,X_64))),bind(X_61,$fot(X_128))]]) ).

cnf(refute_0_485,plain,
    ( meet(X_130,join(X_64,X_63)) != meet(X_130,meet(join(X_63,X_64),join(X_128,join(X_130,X_129))))
    | meet(X_130,meet(join(X_63,X_64),join(X_128,join(X_130,X_129)))) != meet(X_130,join(X_63,X_64))
    | meet(X_130,join(X_64,X_63)) = meet(X_130,join(X_63,X_64)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_130,join(X_64,X_63)),meet(X_130,join(X_63,X_64))) ),[0],$fot(meet(X_130,meet(join(X_63,X_64),join(X_128,join(X_130,X_129)))))]]) ).

cnf(refute_0_486,plain,
    ( meet(X_130,join(X_64,X_63)) != meet(X_130,meet(join(X_63,X_64),join(X_128,join(X_130,X_129))))
    | meet(X_130,join(X_64,X_63)) = meet(X_130,join(X_63,X_64)) ),
    inference(resolve,[$cnf( $equal(meet(X_130,meet(join(X_63,X_64),join(X_128,join(X_130,X_129)))),meet(X_130,join(X_63,X_64))) )],[refute_0_484,refute_0_485]) ).

cnf(refute_0_487,plain,
    meet(X_130,join(X_64,X_63)) = meet(X_130,join(X_63,X_64)),
    inference(resolve,[$cnf( $equal(meet(X_130,join(X_64,X_63)),meet(X_130,meet(join(X_63,X_64),join(X_128,join(X_130,X_129))))) )],[refute_0_474,refute_0_486]) ).

cnf(refute_0_488,plain,
    ( meet(X_130,join(X_64,X_63)) != meet(X_130,join(X_63,X_64))
    | meet(X_130,join(X_63,X_64)) = meet(X_130,join(X_64,X_63)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_130,join(X_64,X_63)))),bind(Y0,$fot(meet(X_130,join(X_63,X_64))))]]) ).

cnf(refute_0_489,plain,
    meet(X_130,join(X_63,X_64)) = meet(X_130,join(X_64,X_63)),
    inference(resolve,[$cnf( $equal(meet(X_130,join(X_64,X_63)),meet(X_130,join(X_63,X_64))) )],[refute_0_487,refute_0_488]) ).

cnf(refute_0_490,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) = meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),
    inference(subst,[],[refute_0_489:[bind(X_130,$fot(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)))),bind(X_63,$fot(meet(X_170,meet(X_16,meet(X_17,X_171))))),bind(X_64,$fot(meet(X_171,meet(X_16,X_17))))]]) ).

cnf(refute_0_491,plain,
    ( meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) != meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) = meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))))),bind(Y0,$fot(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))))),bind(Z0,$fot(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))))]]) ).

cnf(refute_0_492,plain,
    ( meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) = meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))),meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))) )],[refute_0_490,refute_0_491]) ).

cnf(refute_0_493,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) = meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))) )],[refute_0_460,refute_0_492]) ).

cnf(refute_0_494,plain,
    ( meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) != join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) != meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))),join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))) ),[0],$fot(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))))]]) ).

cnf(refute_0_495,plain,
    ( meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) != join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))),meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))) )],[refute_0_493,refute_0_494]) ).

cnf(refute_0_496,plain,
    join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))) = join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))),
    introduced(tautology,[refl,[$fot(join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))))]]) ).

cnf(refute_0_497,plain,
    ( join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))) != join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,meet(X_16,meet(X_17,X_171))) != meet(X_171,meet(X_16,X_17))
    | join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))) = join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))),join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))) ),[1,0],$fot(meet(X_171,meet(X_16,X_17)))]]) ).

cnf(refute_0_498,plain,
    ( meet(X_171,meet(X_16,meet(X_17,X_171))) != meet(X_171,meet(X_16,X_17))
    | join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))) = join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))),join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))) )],[refute_0_496,refute_0_497]) ).

cnf(refute_0_499,plain,
    join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))) = join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))),
    inference(resolve,[$cnf( $equal(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17))) )],[refute_0_423,refute_0_498]) ).

cnf(refute_0_500,plain,
    ( join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))) != join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))) ),[1],$fot(join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))]]) ).

cnf(refute_0_501,plain,
    ( meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171)))),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) )],[refute_0_499,refute_0_500]) ).

cnf(refute_0_502,plain,
    ( meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))) != join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    inference(resolve,[$cnf( $equal(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))) )],[refute_0_495,refute_0_501]) ).

cnf(refute_0_503,plain,
    meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_171)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17)))),join(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_170,meet(X_16,meet(X_17,X_171))))) )],[refute_0_426,refute_0_502]) ).

cnf(refute_0_504,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_170))),meet(X_171,meet(X_16,meet(X_17,X_170))))) = join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))),
    inference(subst,[],[refute_0_124:[bind(X_11,$fot(X_170)),bind(X_39,$fot(X_171)),bind(X_40,$fot(meet(X_16,meet(X_17,X_170))))]]) ).

cnf(refute_0_505,plain,
    meet(X_170,meet(X_16,meet(X_17,X_170))) = meet(X_170,meet(X_16,X_17)),
    inference(subst,[],[refute_0_399:[bind(Y,$fot(X_170))]]) ).

cnf(refute_0_506,plain,
    ( meet(X_170,meet(X_16,meet(X_17,X_170))) != meet(X_170,meet(X_16,X_17))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_170))),meet(X_171,meet(X_16,meet(X_17,X_170))))) != join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_170))),meet(X_171,meet(X_16,meet(X_17,X_170))))),join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))) ),[0,1,0],$fot(meet(X_170,meet(X_16,X_17)))]]) ).

cnf(refute_0_507,plain,
    ( meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_170))),meet(X_171,meet(X_16,meet(X_17,X_170))))) != join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) ),
    inference(resolve,[$cnf( $equal(meet(X_170,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) )],[refute_0_505,refute_0_506]) ).

cnf(refute_0_508,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,meet(X_17,X_170))),meet(X_171,meet(X_16,meet(X_17,X_170))))),join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))) )],[refute_0_504,refute_0_507]) ).

cnf(refute_0_509,plain,
    meet(join(X_108,meet(Y,X_106)),join(Y,join(X_108,meet(Y,X_106)))) = join(X_108,meet(Y,X_106)),
    inference(subst,[],[refute_0_37:[bind(X,$fot(join(X_108,meet(Y,X_106))))]]) ).

cnf(refute_0_510,plain,
    join(X_32,join(X_31,meet(X_31,Y))) = join(X_31,join(X_32,meet(X_31,Y))),
    inference(subst,[],[refute_0_369:[bind(X_19,$fot(X_31)),bind(X_20,$fot(X_32)),bind(X_21,$fot(meet(X_31,Y)))]]) ).

cnf(refute_0_511,plain,
    join(X_31,meet(X_31,Y)) = X_31,
    inference(subst,[],[absorption2:[bind(X,$fot(X_31))]]) ).

cnf(refute_0_512,plain,
    ( join(X_31,meet(X_31,Y)) != X_31
    | join(X_32,join(X_31,meet(X_31,Y))) != join(X_31,join(X_32,meet(X_31,Y)))
    | join(X_32,X_31) = join(X_31,join(X_32,meet(X_31,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,join(X_31,meet(X_31,Y))),join(X_31,join(X_32,meet(X_31,Y)))) ),[0,1],$fot(X_31)]]) ).

cnf(refute_0_513,plain,
    ( join(X_32,join(X_31,meet(X_31,Y))) != join(X_31,join(X_32,meet(X_31,Y)))
    | join(X_32,X_31) = join(X_31,join(X_32,meet(X_31,Y))) ),
    inference(resolve,[$cnf( $equal(join(X_31,meet(X_31,Y)),X_31) )],[refute_0_511,refute_0_512]) ).

cnf(refute_0_514,plain,
    join(X_32,X_31) = join(X_31,join(X_32,meet(X_31,Y))),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_31,meet(X_31,Y))),join(X_31,join(X_32,meet(X_31,Y)))) )],[refute_0_510,refute_0_513]) ).

cnf(refute_0_515,plain,
    join(X_108,Y) = join(Y,join(X_108,meet(Y,X_106))),
    inference(subst,[],[refute_0_514:[bind(Y,$fot(X_106)),bind(X_31,$fot(Y)),bind(X_32,$fot(X_108))]]) ).

cnf(refute_0_516,plain,
    ( join(X_108,Y) != join(Y,join(X_108,meet(Y,X_106)))
    | join(Y,join(X_108,meet(Y,X_106))) = join(X_108,Y) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_108,Y))),bind(Y0,$fot(join(Y,join(X_108,meet(Y,X_106)))))]]) ).

cnf(refute_0_517,plain,
    join(Y,join(X_108,meet(Y,X_106))) = join(X_108,Y),
    inference(resolve,[$cnf( $equal(join(X_108,Y),join(Y,join(X_108,meet(Y,X_106)))) )],[refute_0_515,refute_0_516]) ).

cnf(refute_0_518,plain,
    ( join(Y,join(X_108,meet(Y,X_106))) != join(X_108,Y)
    | meet(join(X_108,meet(Y,X_106)),join(Y,join(X_108,meet(Y,X_106)))) != join(X_108,meet(Y,X_106))
    | meet(join(X_108,meet(Y,X_106)),join(X_108,Y)) = join(X_108,meet(Y,X_106)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_108,meet(Y,X_106)),join(Y,join(X_108,meet(Y,X_106)))),join(X_108,meet(Y,X_106))) ),[0,1],$fot(join(X_108,Y))]]) ).

cnf(refute_0_519,plain,
    ( meet(join(X_108,meet(Y,X_106)),join(Y,join(X_108,meet(Y,X_106)))) != join(X_108,meet(Y,X_106))
    | meet(join(X_108,meet(Y,X_106)),join(X_108,Y)) = join(X_108,meet(Y,X_106)) ),
    inference(resolve,[$cnf( $equal(join(Y,join(X_108,meet(Y,X_106))),join(X_108,Y)) )],[refute_0_517,refute_0_518]) ).

cnf(refute_0_520,plain,
    meet(join(X_108,meet(Y,X_106)),join(X_108,Y)) = join(X_108,meet(Y,X_106)),
    inference(resolve,[$cnf( $equal(meet(join(X_108,meet(Y,X_106)),join(Y,join(X_108,meet(Y,X_106)))),join(X_108,meet(Y,X_106))) )],[refute_0_509,refute_0_519]) ).

cnf(refute_0_521,plain,
    ( meet(join(X_63,X_64),X_16) != meet(X_16,join(X_64,X_63))
    | meet(X_16,join(X_64,X_63)) = meet(join(X_63,X_64),X_16) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(join(X_63,X_64),X_16))),bind(Y0,$fot(meet(X_16,join(X_64,X_63))))]]) ).

cnf(refute_0_522,plain,
    meet(X_16,join(X_64,X_63)) = meet(join(X_63,X_64),X_16),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),X_16),meet(X_16,join(X_64,X_63))) )],[refute_0_349,refute_0_521]) ).

cnf(refute_0_523,plain,
    meet(join(X_108,meet(Y,X_106)),join(X_108,Y)) = meet(join(Y,X_108),join(X_108,meet(Y,X_106))),
    inference(subst,[],[refute_0_522:[bind(X_16,$fot(join(X_108,meet(Y,X_106)))),bind(X_63,$fot(Y)),bind(X_64,$fot(X_108))]]) ).

cnf(refute_0_524,plain,
    ( meet(join(X_108,meet(Y,X_106)),join(X_108,Y)) != join(X_108,meet(Y,X_106))
    | meet(join(X_108,meet(Y,X_106)),join(X_108,Y)) != meet(join(Y,X_108),join(X_108,meet(Y,X_106)))
    | meet(join(Y,X_108),join(X_108,meet(Y,X_106))) = join(X_108,meet(Y,X_106)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_108,meet(Y,X_106)),join(X_108,Y)),join(X_108,meet(Y,X_106))) ),[0],$fot(meet(join(Y,X_108),join(X_108,meet(Y,X_106))))]]) ).

cnf(refute_0_525,plain,
    ( meet(join(X_108,meet(Y,X_106)),join(X_108,Y)) != join(X_108,meet(Y,X_106))
    | meet(join(Y,X_108),join(X_108,meet(Y,X_106))) = join(X_108,meet(Y,X_106)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_108,meet(Y,X_106)),join(X_108,Y)),meet(join(Y,X_108),join(X_108,meet(Y,X_106)))) )],[refute_0_523,refute_0_524]) ).

cnf(refute_0_526,plain,
    meet(join(Y,X_108),join(X_108,meet(Y,X_106))) = join(X_108,meet(Y,X_106)),
    inference(resolve,[$cnf( $equal(meet(join(X_108,meet(Y,X_106)),join(X_108,Y)),join(X_108,meet(Y,X_106))) )],[refute_0_520,refute_0_525]) ).

cnf(refute_0_527,plain,
    meet(join(X_171,meet(X_170,meet(X_16,X_17))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))),
    inference(subst,[],[refute_0_526:[bind(Y,$fot(X_171)),bind(X_106,$fot(meet(X_16,meet(X_17,X_170)))),bind(X_108,$fot(meet(X_170,meet(X_16,X_17))))]]) ).

cnf(refute_0_528,plain,
    join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))) = join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))),
    introduced(tautology,[refl,[$fot(join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))))]]) ).

cnf(refute_0_529,plain,
    ( join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))) != join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170))))
    | meet(X_170,meet(X_16,meet(X_17,X_170))) != meet(X_170,meet(X_16,X_17))
    | join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))) = join(X_171,meet(X_170,meet(X_16,X_17))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))),join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170))))) ),[1,1],$fot(meet(X_170,meet(X_16,X_17)))]]) ).

cnf(refute_0_530,plain,
    ( meet(X_170,meet(X_16,meet(X_17,X_170))) != meet(X_170,meet(X_16,X_17))
    | join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))) = join(X_171,meet(X_170,meet(X_16,X_17))) ),
    inference(resolve,[$cnf( $equal(join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))),join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170))))) )],[refute_0_528,refute_0_529]) ).

cnf(refute_0_531,plain,
    join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))) = join(X_171,meet(X_170,meet(X_16,X_17))),
    inference(resolve,[$cnf( $equal(meet(X_170,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) )],[refute_0_505,refute_0_530]) ).

cnf(refute_0_532,plain,
    join(join(X_171,meet(X_172,X_170)),meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172)))) = join(X_171,meet(X_172,X_170)),
    inference(subst,[],[absorption2:[bind(X,$fot(join(X_171,meet(X_172,X_170)))),bind(Y,$fot(join(meet(X_170,X_172),meet(X_171,X_172))))]]) ).

cnf(refute_0_533,plain,
    ( join(join(X_171,meet(X_172,X_170)),meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172)))) != join(X_171,meet(X_172,X_170))
    | meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172))) != join(meet(X_171,X_172),meet(X_170,X_172))
    | join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) = join(X_171,meet(X_172,X_170)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_171,meet(X_172,X_170)),meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172)))),join(X_171,meet(X_172,X_170))) ),[0,1],$fot(join(meet(X_171,X_172),meet(X_170,X_172)))]]) ).

cnf(refute_0_534,plain,
    ( join(join(X_171,meet(X_172,X_170)),meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172)))) != join(X_171,meet(X_172,X_170))
    | join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) = join(X_171,meet(X_172,X_170)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172))),join(meet(X_171,X_172),meet(X_170,X_172))) )],[refute_0_217,refute_0_533]) ).

cnf(refute_0_535,plain,
    join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) = join(X_171,meet(X_172,X_170)),
    inference(resolve,[$cnf( $equal(join(join(X_171,meet(X_172,X_170)),meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_171,X_172)))),join(X_171,meet(X_172,X_170))) )],[refute_0_532,refute_0_534]) ).

cnf(refute_0_536,plain,
    join(join(X_19,meet(X_11,X_19)),X_21) = join(X_19,join(meet(X_11,X_19),X_21)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_19)),bind(Y,$fot(meet(X_11,X_19))),bind(Z,$fot(X_21))]]) ).

cnf(refute_0_537,plain,
    join(X_19,meet(X_11,X_19)) = X_19,
    inference(subst,[],[refute_0_86:[bind(X_10,$fot(X_19))]]) ).

cnf(refute_0_538,plain,
    ( join(X_19,meet(X_11,X_19)) != X_19
    | join(join(X_19,meet(X_11,X_19)),X_21) != join(X_19,join(meet(X_11,X_19),X_21))
    | join(X_19,X_21) = join(X_19,join(meet(X_11,X_19),X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_19,meet(X_11,X_19)),X_21),join(X_19,join(meet(X_11,X_19),X_21))) ),[0,0],$fot(X_19)]]) ).

cnf(refute_0_539,plain,
    ( join(join(X_19,meet(X_11,X_19)),X_21) != join(X_19,join(meet(X_11,X_19),X_21))
    | join(X_19,X_21) = join(X_19,join(meet(X_11,X_19),X_21)) ),
    inference(resolve,[$cnf( $equal(join(X_19,meet(X_11,X_19)),X_19) )],[refute_0_537,refute_0_538]) ).

cnf(refute_0_540,plain,
    join(X_19,X_21) = join(X_19,join(meet(X_11,X_19),X_21)),
    inference(resolve,[$cnf( $equal(join(join(X_19,meet(X_11,X_19)),X_21),join(X_19,join(meet(X_11,X_19),X_21))) )],[refute_0_536,refute_0_539]) ).

cnf(refute_0_541,plain,
    ( join(X_19,X_21) != join(X_19,join(meet(X_11,X_19),X_21))
    | join(X_19,join(meet(X_11,X_19),X_21)) = join(X_19,X_21) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_19,X_21))),bind(Y0,$fot(join(X_19,join(meet(X_11,X_19),X_21))))]]) ).

cnf(refute_0_542,plain,
    join(X_19,join(meet(X_11,X_19),X_21)) = join(X_19,X_21),
    inference(resolve,[$cnf( $equal(join(X_19,X_21),join(X_19,join(meet(X_11,X_19),X_21))) )],[refute_0_540,refute_0_541]) ).

cnf(refute_0_543,plain,
    join(X_171,join(meet(X_172,X_171),meet(X_170,X_172))) = join(X_171,meet(X_170,X_172)),
    inference(subst,[],[refute_0_542:[bind(X_11,$fot(X_172)),bind(X_19,$fot(X_171)),bind(X_21,$fot(meet(X_170,X_172)))]]) ).

cnf(refute_0_544,plain,
    join(X_21,join(X_19,X_20)) = join(X_19,join(X_20,X_21)),
    inference(subst,[],[refute_0_354:[bind(X,$fot(X_21))]]) ).

cnf(refute_0_545,plain,
    ( join(X_21,join(X_19,X_20)) != join(X_19,join(X_20,X_21))
    | join(X_19,join(X_20,X_21)) = join(X_21,join(X_19,X_20)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_21,join(X_19,X_20)))),bind(Y0,$fot(join(X_19,join(X_20,X_21))))]]) ).

cnf(refute_0_546,plain,
    join(X_19,join(X_20,X_21)) = join(X_21,join(X_19,X_20)),
    inference(resolve,[$cnf( $equal(join(X_21,join(X_19,X_20)),join(X_19,join(X_20,X_21))) )],[refute_0_544,refute_0_545]) ).

cnf(refute_0_547,plain,
    ( join(X_19,join(X_20,X_21)) != join(X_21,join(X_19,X_20))
    | join(X_20,join(X_19,X_21)) != join(X_19,join(X_20,X_21))
    | join(X_20,join(X_19,X_21)) = join(X_21,join(X_19,X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_20,join(X_19,X_21)),join(X_19,join(X_20,X_21))) ),[1],$fot(join(X_21,join(X_19,X_20)))]]) ).

cnf(refute_0_548,plain,
    ( join(X_20,join(X_19,X_21)) != join(X_19,join(X_20,X_21))
    | join(X_20,join(X_19,X_21)) = join(X_21,join(X_19,X_20)) ),
    inference(resolve,[$cnf( $equal(join(X_19,join(X_20,X_21)),join(X_21,join(X_19,X_20))) )],[refute_0_546,refute_0_547]) ).

cnf(refute_0_549,plain,
    join(X_20,join(X_19,X_21)) = join(X_21,join(X_19,X_20)),
    inference(resolve,[$cnf( $equal(join(X_20,join(X_19,X_21)),join(X_19,join(X_20,X_21))) )],[refute_0_369,refute_0_548]) ).

cnf(refute_0_550,plain,
    join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)) = join(X_21,join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))),
    inference(subst,[],[refute_0_549:[bind(X_19,$fot(meet(X_138,X_137))),bind(X_20,$fot(join(X_136,meet(X_137,X_138))))]]) ).

cnf(refute_0_551,plain,
    join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))) = join(X_136,meet(X_138,X_137)),
    inference(subst,[],[refute_0_373:[bind(X_19,$fot(X_136)),bind(X_34,$fot(X_137)),bind(X_35,$fot(X_138))]]) ).

cnf(refute_0_552,plain,
    ( join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)) != join(X_21,join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))))
    | join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))) != join(X_136,meet(X_138,X_137))
    | join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)) = join(X_21,join(X_136,meet(X_138,X_137))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)),join(X_21,join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))))) ),[1,1],$fot(join(X_136,meet(X_138,X_137)))]]) ).

cnf(refute_0_553,plain,
    ( join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)) != join(X_21,join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))))
    | join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)) = join(X_21,join(X_136,meet(X_138,X_137))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))),join(X_136,meet(X_138,X_137))) )],[refute_0_551,refute_0_552]) ).

cnf(refute_0_554,plain,
    join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)) = join(X_21,join(X_136,meet(X_138,X_137))),
    inference(resolve,[$cnf( $equal(join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)),join(X_21,join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))))) )],[refute_0_550,refute_0_553]) ).

cnf(refute_0_555,plain,
    join(X_32,join(X_31,X_33)) = join(X_31,join(X_32,X_33)),
    inference(subst,[],[refute_0_369:[bind(X_19,$fot(X_31)),bind(X_20,$fot(X_32)),bind(X_21,$fot(X_33))]]) ).

cnf(refute_0_556,plain,
    join(X_33,X_31) = join(X_31,X_33),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_33)),bind(Y,$fot(X_31))]]) ).

cnf(refute_0_557,plain,
    ( join(X_33,X_31) != join(X_31,X_33)
    | join(X_31,X_33) = join(X_33,X_31) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_33,X_31))),bind(Y0,$fot(join(X_31,X_33)))]]) ).

cnf(refute_0_558,plain,
    join(X_31,X_33) = join(X_33,X_31),
    inference(resolve,[$cnf( $equal(join(X_33,X_31),join(X_31,X_33)) )],[refute_0_556,refute_0_557]) ).

cnf(refute_0_559,plain,
    ( join(X_31,X_33) != join(X_33,X_31)
    | join(X_32,join(X_31,X_33)) != join(X_31,join(X_32,X_33))
    | join(X_32,join(X_33,X_31)) = join(X_31,join(X_32,X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,join(X_31,X_33)),join(X_31,join(X_32,X_33))) ),[0,1],$fot(join(X_33,X_31))]]) ).

cnf(refute_0_560,plain,
    ( join(X_32,join(X_31,X_33)) != join(X_31,join(X_32,X_33))
    | join(X_32,join(X_33,X_31)) = join(X_31,join(X_32,X_33)) ),
    inference(resolve,[$cnf( $equal(join(X_31,X_33),join(X_33,X_31)) )],[refute_0_558,refute_0_559]) ).

cnf(refute_0_561,plain,
    join(X_32,join(X_33,X_31)) = join(X_31,join(X_32,X_33)),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_31,X_33)),join(X_31,join(X_32,X_33))) )],[refute_0_555,refute_0_560]) ).

cnf(refute_0_562,plain,
    ( join(X_32,join(X_33,X_31)) != join(X_31,join(X_32,X_33))
    | join(X_31,join(X_32,X_33)) = join(X_32,join(X_33,X_31)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_32,join(X_33,X_31)))),bind(Y0,$fot(join(X_31,join(X_32,X_33))))]]) ).

cnf(refute_0_563,plain,
    join(X_31,join(X_32,X_33)) = join(X_32,join(X_33,X_31)),
    inference(resolve,[$cnf( $equal(join(X_32,join(X_33,X_31)),join(X_31,join(X_32,X_33))) )],[refute_0_561,refute_0_562]) ).

cnf(refute_0_564,plain,
    join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)) = join(meet(X_138,X_137),join(X_21,join(X_136,meet(X_137,X_138)))),
    inference(subst,[],[refute_0_563:[bind(X_31,$fot(join(X_136,meet(X_137,X_138)))),bind(X_32,$fot(meet(X_138,X_137))),bind(X_33,$fot(X_21))]]) ).

cnf(refute_0_565,plain,
    ( join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)) != join(X_21,join(X_136,meet(X_138,X_137)))
    | join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)) != join(meet(X_138,X_137),join(X_21,join(X_136,meet(X_137,X_138))))
    | join(meet(X_138,X_137),join(X_21,join(X_136,meet(X_137,X_138)))) = join(X_21,join(X_136,meet(X_138,X_137))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)),join(X_21,join(X_136,meet(X_138,X_137)))) ),[0],$fot(join(meet(X_138,X_137),join(X_21,join(X_136,meet(X_137,X_138)))))]]) ).

cnf(refute_0_566,plain,
    ( join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)) != join(X_21,join(X_136,meet(X_138,X_137)))
    | join(meet(X_138,X_137),join(X_21,join(X_136,meet(X_137,X_138)))) = join(X_21,join(X_136,meet(X_138,X_137))) ),
    inference(resolve,[$cnf( $equal(join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)),join(meet(X_138,X_137),join(X_21,join(X_136,meet(X_137,X_138))))) )],[refute_0_564,refute_0_565]) ).

cnf(refute_0_567,plain,
    join(meet(X_138,X_137),join(X_21,join(X_136,meet(X_137,X_138)))) = join(X_21,join(X_136,meet(X_138,X_137))),
    inference(resolve,[$cnf( $equal(join(join(X_136,meet(X_137,X_138)),join(meet(X_138,X_137),X_21)),join(X_21,join(X_136,meet(X_138,X_137)))) )],[refute_0_554,refute_0_566]) ).

cnf(refute_0_568,plain,
    join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))) = join(X_171,join(meet(X_172,X_171),meet(X_170,X_172))),
    inference(subst,[],[refute_0_567:[bind(X_136,$fot(meet(X_172,X_171))),bind(X_137,$fot(X_172)),bind(X_138,$fot(X_170)),bind(X_21,$fot(X_171))]]) ).

cnf(refute_0_569,plain,
    ( join(X_171,join(meet(X_172,X_171),meet(X_170,X_172))) != join(X_171,meet(X_170,X_172))
    | join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))) != join(X_171,join(meet(X_172,X_171),meet(X_170,X_172)))
    | join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))) = join(X_171,meet(X_170,X_172)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))))),bind(Y0,$fot(join(X_171,join(meet(X_172,X_171),meet(X_170,X_172))))),bind(Z0,$fot(join(X_171,meet(X_170,X_172))))]]) ).

cnf(refute_0_570,plain,
    ( join(X_171,join(meet(X_172,X_171),meet(X_170,X_172))) != join(X_171,meet(X_170,X_172))
    | join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))) = join(X_171,meet(X_170,X_172)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))),join(X_171,join(meet(X_172,X_171),meet(X_170,X_172)))) )],[refute_0_568,refute_0_569]) ).

cnf(refute_0_571,plain,
    join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))) = join(X_171,meet(X_170,X_172)),
    inference(resolve,[$cnf( $equal(join(X_171,join(meet(X_172,X_171),meet(X_170,X_172))),join(X_171,meet(X_170,X_172))) )],[refute_0_543,refute_0_570]) ).

cnf(refute_0_572,plain,
    meet(join(X_64,join(X_20,X_21)),join(join(X_20,X_21),X_64)) = join(X_64,join(X_20,X_21)),
    inference(subst,[],[refute_0_327:[bind(Y,$fot(join(X_20,X_21))),bind(X_22,$fot(X_64))]]) ).

cnf(refute_0_573,plain,
    join(X_20,join(X_64,X_21)) = join(X_64,join(X_20,X_21)),
    inference(subst,[],[refute_0_369:[bind(X_19,$fot(X_64))]]) ).

cnf(refute_0_574,plain,
    ( join(X_20,join(X_64,X_21)) != join(X_64,join(X_20,X_21))
    | join(X_64,join(X_20,X_21)) = join(X_20,join(X_64,X_21)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_20,join(X_64,X_21)))),bind(Y0,$fot(join(X_64,join(X_20,X_21))))]]) ).

cnf(refute_0_575,plain,
    join(X_64,join(X_20,X_21)) = join(X_20,join(X_64,X_21)),
    inference(resolve,[$cnf( $equal(join(X_20,join(X_64,X_21)),join(X_64,join(X_20,X_21))) )],[refute_0_573,refute_0_574]) ).

cnf(refute_0_576,plain,
    ( join(X_64,join(X_20,X_21)) != join(X_20,join(X_64,X_21))
    | meet(join(X_64,join(X_20,X_21)),join(join(X_20,X_21),X_64)) != join(X_64,join(X_20,X_21))
    | meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) = join(X_64,join(X_20,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_64,join(X_20,X_21)),join(join(X_20,X_21),X_64)),join(X_64,join(X_20,X_21))) ),[0,0],$fot(join(X_20,join(X_64,X_21)))]]) ).

cnf(refute_0_577,plain,
    ( meet(join(X_64,join(X_20,X_21)),join(join(X_20,X_21),X_64)) != join(X_64,join(X_20,X_21))
    | meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) = join(X_64,join(X_20,X_21)) ),
    inference(resolve,[$cnf( $equal(join(X_64,join(X_20,X_21)),join(X_20,join(X_64,X_21))) )],[refute_0_575,refute_0_576]) ).

cnf(refute_0_578,plain,
    meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) = join(X_64,join(X_20,X_21)),
    inference(resolve,[$cnf( $equal(meet(join(X_64,join(X_20,X_21)),join(join(X_20,X_21),X_64)),join(X_64,join(X_20,X_21))) )],[refute_0_572,refute_0_577]) ).

cnf(refute_0_579,plain,
    join(join(X_20,X_21),X_64) = join(X_20,join(X_21,X_64)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_20)),bind(Y,$fot(X_21)),bind(Z,$fot(X_64))]]) ).

cnf(refute_0_580,plain,
    meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) = meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)),
    introduced(tautology,[refl,[$fot(meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)))]]) ).

cnf(refute_0_581,plain,
    ( join(join(X_20,X_21),X_64) != join(X_20,join(X_21,X_64))
    | meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) != meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64))
    | meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) = meet(join(X_20,join(X_64,X_21)),join(X_20,join(X_21,X_64))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)),meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64))) ),[1,1],$fot(join(X_20,join(X_21,X_64)))]]) ).

cnf(refute_0_582,plain,
    ( join(join(X_20,X_21),X_64) != join(X_20,join(X_21,X_64))
    | meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) = meet(join(X_20,join(X_64,X_21)),join(X_20,join(X_21,X_64))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)),meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64))) )],[refute_0_580,refute_0_581]) ).

cnf(refute_0_583,plain,
    meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) = meet(join(X_20,join(X_64,X_21)),join(X_20,join(X_21,X_64))),
    inference(resolve,[$cnf( $equal(join(join(X_20,X_21),X_64),join(X_20,join(X_21,X_64))) )],[refute_0_579,refute_0_582]) ).

cnf(refute_0_584,plain,
    ( meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) != join(X_64,join(X_20,X_21))
    | meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) != meet(join(X_20,join(X_64,X_21)),join(X_20,join(X_21,X_64)))
    | meet(join(X_20,join(X_64,X_21)),join(X_20,join(X_21,X_64))) = join(X_64,join(X_20,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)),join(X_64,join(X_20,X_21))) ),[0],$fot(meet(join(X_20,join(X_64,X_21)),join(X_20,join(X_21,X_64))))]]) ).

cnf(refute_0_585,plain,
    ( meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)) != join(X_64,join(X_20,X_21))
    | meet(join(X_20,join(X_64,X_21)),join(X_20,join(X_21,X_64))) = join(X_64,join(X_20,X_21)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)),meet(join(X_20,join(X_64,X_21)),join(X_20,join(X_21,X_64)))) )],[refute_0_583,refute_0_584]) ).

cnf(refute_0_586,plain,
    meet(join(X_20,join(X_64,X_21)),join(X_20,join(X_21,X_64))) = join(X_64,join(X_20,X_21)),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_64,X_21)),join(join(X_20,X_21),X_64)),join(X_64,join(X_20,X_21))) )],[refute_0_578,refute_0_585]) ).

cnf(refute_0_587,plain,
    meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))) = join(X_163,join(X_161,join(X_20,X_21))),
    inference(subst,[],[refute_0_586:[bind(X_20,$fot(X_161)),bind(X_21,$fot(join(X_20,X_21))),bind(X_64,$fot(X_163))]]) ).

cnf(refute_0_588,plain,
    join(X_20,join(X_161,X_21)) = join(X_161,join(X_20,X_21)),
    inference(subst,[],[refute_0_369:[bind(X_19,$fot(X_161))]]) ).

cnf(refute_0_589,plain,
    ( join(X_20,join(X_161,X_21)) != join(X_161,join(X_20,X_21))
    | join(X_161,join(X_20,X_21)) = join(X_20,join(X_161,X_21)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_20,join(X_161,X_21)))),bind(Y0,$fot(join(X_161,join(X_20,X_21))))]]) ).

cnf(refute_0_590,plain,
    join(X_161,join(X_20,X_21)) = join(X_20,join(X_161,X_21)),
    inference(resolve,[$cnf( $equal(join(X_20,join(X_161,X_21)),join(X_161,join(X_20,X_21))) )],[refute_0_588,refute_0_589]) ).

cnf(refute_0_591,plain,
    ( join(X_161,join(X_20,X_21)) != join(X_20,join(X_161,X_21))
    | meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))) != join(X_163,join(X_161,join(X_20,X_21)))
    | meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))) = join(X_163,join(X_20,join(X_161,X_21))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))),join(X_163,join(X_161,join(X_20,X_21)))) ),[1,1],$fot(join(X_20,join(X_161,X_21)))]]) ).

cnf(refute_0_592,plain,
    ( meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))) != join(X_163,join(X_161,join(X_20,X_21)))
    | meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))) = join(X_163,join(X_20,join(X_161,X_21))) ),
    inference(resolve,[$cnf( $equal(join(X_161,join(X_20,X_21)),join(X_20,join(X_161,X_21))) )],[refute_0_590,refute_0_591]) ).

cnf(refute_0_593,plain,
    meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))) = join(X_163,join(X_20,join(X_161,X_21))),
    inference(resolve,[$cnf( $equal(meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))),join(X_163,join(X_161,join(X_20,X_21)))) )],[refute_0_587,refute_0_592]) ).

cnf(refute_0_594,plain,
    ( meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))) != join(X_163,join(X_161,join(X_20,X_21)))
    | meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))) != join(X_163,join(X_20,join(X_161,X_21)))
    | join(X_163,join(X_161,join(X_20,X_21))) = join(X_163,join(X_20,join(X_161,X_21))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))),join(X_163,join(X_20,join(X_161,X_21)))) ),[0],$fot(join(X_163,join(X_161,join(X_20,X_21))))]]) ).

cnf(refute_0_595,plain,
    ( meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))) != join(X_163,join(X_20,join(X_161,X_21)))
    | join(X_163,join(X_161,join(X_20,X_21))) = join(X_163,join(X_20,join(X_161,X_21))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))),join(X_163,join(X_161,join(X_20,X_21)))) )],[refute_0_587,refute_0_594]) ).

cnf(refute_0_596,plain,
    join(X_163,join(X_161,join(X_20,X_21))) = join(X_163,join(X_20,join(X_161,X_21))),
    inference(resolve,[$cnf( $equal(meet(join(X_161,join(X_163,join(X_20,X_21))),join(X_161,join(join(X_20,X_21),X_163))),join(X_163,join(X_20,join(X_161,X_21)))) )],[refute_0_593,refute_0_595]) ).

cnf(refute_0_597,plain,
    ( join(X_163,join(X_161,join(X_20,X_21))) != join(X_163,join(X_20,join(X_161,X_21)))
    | join(X_163,join(X_20,join(X_161,X_21))) = join(X_163,join(X_161,join(X_20,X_21))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_163,join(X_161,join(X_20,X_21))))),bind(Y0,$fot(join(X_163,join(X_20,join(X_161,X_21)))))]]) ).

cnf(refute_0_598,plain,
    join(X_163,join(X_20,join(X_161,X_21))) = join(X_163,join(X_161,join(X_20,X_21))),
    inference(resolve,[$cnf( $equal(join(X_163,join(X_161,join(X_20,X_21))),join(X_163,join(X_20,join(X_161,X_21)))) )],[refute_0_596,refute_0_597]) ).

cnf(refute_0_599,plain,
    join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))) = join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))),
    inference(subst,[],[refute_0_598:[bind(X_161,$fot(X_171)),bind(X_163,$fot(meet(X_170,X_172))),bind(X_20,$fot(meet(X_172,X_171))),bind(X_21,$fot(meet(X_172,X_170)))]]) ).

cnf(refute_0_600,plain,
    ( join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))) != join(X_171,meet(X_170,X_172))
    | join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))) != join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170))))
    | join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))) = join(X_171,meet(X_170,X_172)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))))),bind(Y0,$fot(join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))))),bind(Z0,$fot(join(X_171,meet(X_170,X_172))))]]) ).

cnf(refute_0_601,plain,
    ( join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))) != join(X_171,meet(X_170,X_172))
    | join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))) = join(X_171,meet(X_170,X_172)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))),join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170))))) )],[refute_0_599,refute_0_600]) ).

cnf(refute_0_602,plain,
    join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))) = join(X_171,meet(X_170,X_172)),
    inference(resolve,[$cnf( $equal(join(meet(X_170,X_172),join(X_171,join(meet(X_172,X_171),meet(X_172,X_170)))),join(X_171,meet(X_170,X_172))) )],[refute_0_571,refute_0_601]) ).

cnf(refute_0_603,plain,
    join(X_20,join(meet(X_166,X_165),X_21)) = join(X_21,join(meet(X_166,X_165),X_20)),
    inference(subst,[],[refute_0_549:[bind(X_19,$fot(meet(X_166,X_165)))]]) ).

cnf(refute_0_604,plain,
    join(join(meet(X_16,X_17),X_145),meet(X_16,meet(X_17,join(meet(X_16,X_17),X_145)))) = join(meet(X_16,X_17),X_145),
    inference(subst,[],[refute_0_131:[bind(X_10,$fot(join(meet(X_16,X_17),X_145)))]]) ).

cnf(refute_0_605,plain,
    meet(meet(X_16,X_17),join(meet(X_16,X_17),Y)) = meet(X_16,X_17),
    inference(subst,[],[absorption1:[bind(X,$fot(meet(X_16,X_17)))]]) ).

cnf(refute_0_606,plain,
    meet(meet(X_16,X_17),join(meet(X_16,X_17),Y)) = meet(X_16,meet(X_17,join(meet(X_16,X_17),Y))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(join(meet(X_16,X_17),Y)))]]) ).

cnf(refute_0_607,plain,
    ( meet(meet(X_16,X_17),join(meet(X_16,X_17),Y)) != meet(X_16,X_17)
    | meet(meet(X_16,X_17),join(meet(X_16,X_17),Y)) != meet(X_16,meet(X_17,join(meet(X_16,X_17),Y)))
    | meet(X_16,meet(X_17,join(meet(X_16,X_17),Y))) = meet(X_16,X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,X_17),join(meet(X_16,X_17),Y)),meet(X_16,X_17)) ),[0],$fot(meet(X_16,meet(X_17,join(meet(X_16,X_17),Y))))]]) ).

cnf(refute_0_608,plain,
    ( meet(meet(X_16,X_17),join(meet(X_16,X_17),Y)) != meet(X_16,X_17)
    | meet(X_16,meet(X_17,join(meet(X_16,X_17),Y))) = meet(X_16,X_17) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),join(meet(X_16,X_17),Y)),meet(X_16,meet(X_17,join(meet(X_16,X_17),Y)))) )],[refute_0_606,refute_0_607]) ).

cnf(refute_0_609,plain,
    meet(X_16,meet(X_17,join(meet(X_16,X_17),Y))) = meet(X_16,X_17),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),join(meet(X_16,X_17),Y)),meet(X_16,X_17)) )],[refute_0_605,refute_0_608]) ).

cnf(refute_0_610,plain,
    meet(X_16,meet(X_17,join(meet(X_16,X_17),X_145))) = meet(X_16,X_17),
    inference(subst,[],[refute_0_609:[bind(Y,$fot(X_145))]]) ).

cnf(refute_0_611,plain,
    ( join(join(meet(X_16,X_17),X_145),meet(X_16,meet(X_17,join(meet(X_16,X_17),X_145)))) != join(meet(X_16,X_17),X_145)
    | meet(X_16,meet(X_17,join(meet(X_16,X_17),X_145))) != meet(X_16,X_17)
    | join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) = join(meet(X_16,X_17),X_145) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_16,X_17),X_145),meet(X_16,meet(X_17,join(meet(X_16,X_17),X_145)))),join(meet(X_16,X_17),X_145)) ),[0,1],$fot(meet(X_16,X_17))]]) ).

cnf(refute_0_612,plain,
    ( join(join(meet(X_16,X_17),X_145),meet(X_16,meet(X_17,join(meet(X_16,X_17),X_145)))) != join(meet(X_16,X_17),X_145)
    | join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) = join(meet(X_16,X_17),X_145) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_17,join(meet(X_16,X_17),X_145))),meet(X_16,X_17)) )],[refute_0_610,refute_0_611]) ).

cnf(refute_0_613,plain,
    join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) = join(meet(X_16,X_17),X_145),
    inference(resolve,[$cnf( $equal(join(join(meet(X_16,X_17),X_145),meet(X_16,meet(X_17,join(meet(X_16,X_17),X_145)))),join(meet(X_16,X_17),X_145)) )],[refute_0_604,refute_0_612]) ).

cnf(refute_0_614,plain,
    join(join(meet(X_35,X_34),meet(X_34,X_35)),Z) = join(meet(X_35,X_34),join(meet(X_34,X_35),Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_35,X_34))),bind(Y,$fot(meet(X_34,X_35)))]]) ).

cnf(refute_0_615,plain,
    ( join(join(meet(X_35,X_34),meet(X_34,X_35)),Z) != join(meet(X_35,X_34),join(meet(X_34,X_35),Z))
    | join(meet(X_35,X_34),meet(X_34,X_35)) != meet(X_35,X_34)
    | join(meet(X_35,X_34),Z) = join(meet(X_35,X_34),join(meet(X_34,X_35),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_35,X_34),meet(X_34,X_35)),Z),join(meet(X_35,X_34),join(meet(X_34,X_35),Z))) ),[0,0],$fot(meet(X_35,X_34))]]) ).

cnf(refute_0_616,plain,
    ( join(join(meet(X_35,X_34),meet(X_34,X_35)),Z) != join(meet(X_35,X_34),join(meet(X_34,X_35),Z))
    | join(meet(X_35,X_34),Z) = join(meet(X_35,X_34),join(meet(X_34,X_35),Z)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_35,X_34),meet(X_34,X_35)),meet(X_35,X_34)) )],[refute_0_92,refute_0_615]) ).

cnf(refute_0_617,plain,
    join(meet(X_35,X_34),Z) = join(meet(X_35,X_34),join(meet(X_34,X_35),Z)),
    inference(resolve,[$cnf( $equal(join(join(meet(X_35,X_34),meet(X_34,X_35)),Z),join(meet(X_35,X_34),join(meet(X_34,X_35),Z))) )],[refute_0_614,refute_0_616]) ).

cnf(refute_0_618,plain,
    ( join(meet(X_35,X_34),Z) != join(meet(X_35,X_34),join(meet(X_34,X_35),Z))
    | join(meet(X_35,X_34),join(meet(X_34,X_35),Z)) = join(meet(X_35,X_34),Z) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(meet(X_35,X_34),Z))),bind(Y0,$fot(join(meet(X_35,X_34),join(meet(X_34,X_35),Z))))]]) ).

cnf(refute_0_619,plain,
    join(meet(X_35,X_34),join(meet(X_34,X_35),Z)) = join(meet(X_35,X_34),Z),
    inference(resolve,[$cnf( $equal(join(meet(X_35,X_34),Z),join(meet(X_35,X_34),join(meet(X_34,X_35),Z))) )],[refute_0_617,refute_0_618]) ).

cnf(refute_0_620,plain,
    join(meet(X_17,X_16),join(meet(X_16,X_17),X_145)) = join(meet(X_17,X_16),X_145),
    inference(subst,[],[refute_0_619:[bind(Z,$fot(X_145)),bind(X_34,$fot(X_16)),bind(X_35,$fot(X_17))]]) ).

cnf(refute_0_621,plain,
    join(join(X_19,X_20),meet(X_11,join(X_19,X_20))) = join(X_19,X_20),
    inference(subst,[],[refute_0_86:[bind(X_10,$fot(join(X_19,X_20)))]]) ).

cnf(refute_0_622,plain,
    join(join(X_19,X_20),meet(X_11,join(X_19,X_20))) = join(X_19,join(X_20,meet(X_11,join(X_19,X_20)))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_19)),bind(Y,$fot(X_20)),bind(Z,$fot(meet(X_11,join(X_19,X_20))))]]) ).

cnf(refute_0_623,plain,
    ( join(join(X_19,X_20),meet(X_11,join(X_19,X_20))) != join(X_19,X_20)
    | join(join(X_19,X_20),meet(X_11,join(X_19,X_20))) != join(X_19,join(X_20,meet(X_11,join(X_19,X_20))))
    | join(X_19,join(X_20,meet(X_11,join(X_19,X_20)))) = join(X_19,X_20) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_19,X_20),meet(X_11,join(X_19,X_20))),join(X_19,X_20)) ),[0],$fot(join(X_19,join(X_20,meet(X_11,join(X_19,X_20)))))]]) ).

cnf(refute_0_624,plain,
    ( join(join(X_19,X_20),meet(X_11,join(X_19,X_20))) != join(X_19,X_20)
    | join(X_19,join(X_20,meet(X_11,join(X_19,X_20)))) = join(X_19,X_20) ),
    inference(resolve,[$cnf( $equal(join(join(X_19,X_20),meet(X_11,join(X_19,X_20))),join(X_19,join(X_20,meet(X_11,join(X_19,X_20))))) )],[refute_0_622,refute_0_623]) ).

cnf(refute_0_625,plain,
    join(X_19,join(X_20,meet(X_11,join(X_19,X_20)))) = join(X_19,X_20),
    inference(resolve,[$cnf( $equal(join(join(X_19,X_20),meet(X_11,join(X_19,X_20))),join(X_19,X_20)) )],[refute_0_621,refute_0_624]) ).

cnf(refute_0_626,plain,
    join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))))) = join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))),
    inference(subst,[],[refute_0_625:[bind(X_19,$fot(meet(X_138,X_137))),bind(X_20,$fot(join(X_136,meet(X_137,X_138))))]]) ).

cnf(refute_0_627,plain,
    ( join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))) != join(X_136,meet(X_138,X_137))
    | join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))))) != join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))
    | join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) = join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))))),join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))) ),[0,1,1,1],$fot(join(X_136,meet(X_138,X_137)))]]) ).

cnf(refute_0_628,plain,
    ( join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))))) != join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))
    | join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) = join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))),join(X_136,meet(X_138,X_137))) )],[refute_0_551,refute_0_627]) ).

cnf(refute_0_629,plain,
    join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) = join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))),
    inference(resolve,[$cnf( $equal(join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))))),join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))) )],[refute_0_626,refute_0_628]) ).

cnf(refute_0_630,plain,
    join(meet(X_137,X_138),join(meet(X_138,X_137),X_136)) = join(meet(X_137,X_138),X_136),
    inference(subst,[],[refute_0_619:[bind(Z,$fot(X_136)),bind(X_34,$fot(X_138)),bind(X_35,$fot(X_137))]]) ).

cnf(refute_0_631,plain,
    join(X_108,join(X_63,X_64)) = join(join(X_63,X_64),join(X_108,meet(join(X_63,X_64),X_106))),
    inference(subst,[],[refute_0_514:[bind(Y,$fot(X_106)),bind(X_31,$fot(join(X_63,X_64))),bind(X_32,$fot(X_108))]]) ).

cnf(refute_0_632,plain,
    meet(join(X_63,X_64),X_106) = meet(X_106,join(X_64,X_63)),
    inference(subst,[],[refute_0_349:[bind(X_16,$fot(X_106))]]) ).

cnf(refute_0_633,plain,
    ( join(X_108,join(X_63,X_64)) != join(join(X_63,X_64),join(X_108,meet(join(X_63,X_64),X_106)))
    | meet(join(X_63,X_64),X_106) != meet(X_106,join(X_64,X_63))
    | join(X_108,join(X_63,X_64)) = join(join(X_63,X_64),join(X_108,meet(X_106,join(X_64,X_63)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_108,join(X_63,X_64)),join(join(X_63,X_64),join(X_108,meet(join(X_63,X_64),X_106)))) ),[1,1,1],$fot(meet(X_106,join(X_64,X_63)))]]) ).

cnf(refute_0_634,plain,
    ( join(X_108,join(X_63,X_64)) != join(join(X_63,X_64),join(X_108,meet(join(X_63,X_64),X_106)))
    | join(X_108,join(X_63,X_64)) = join(join(X_63,X_64),join(X_108,meet(X_106,join(X_64,X_63)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),X_106),meet(X_106,join(X_64,X_63))) )],[refute_0_632,refute_0_633]) ).

cnf(refute_0_635,plain,
    join(X_108,join(X_63,X_64)) = join(join(X_63,X_64),join(X_108,meet(X_106,join(X_64,X_63)))),
    inference(resolve,[$cnf( $equal(join(X_108,join(X_63,X_64)),join(join(X_63,X_64),join(X_108,meet(join(X_63,X_64),X_106)))) )],[refute_0_631,refute_0_634]) ).

cnf(refute_0_636,plain,
    join(join(X_63,X_64),join(X_108,meet(X_106,join(X_64,X_63)))) = join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63))))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_63)),bind(Y,$fot(X_64)),bind(Z,$fot(join(X_108,meet(X_106,join(X_64,X_63)))))]]) ).

cnf(refute_0_637,plain,
    ( join(X_108,join(X_63,X_64)) != join(join(X_63,X_64),join(X_108,meet(X_106,join(X_64,X_63))))
    | join(join(X_63,X_64),join(X_108,meet(X_106,join(X_64,X_63)))) != join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63)))))
    | join(X_108,join(X_63,X_64)) = join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_108,join(X_63,X_64)),join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63)))))) ),[0],$fot(join(join(X_63,X_64),join(X_108,meet(X_106,join(X_64,X_63)))))]]) ).

cnf(refute_0_638,plain,
    ( join(X_108,join(X_63,X_64)) != join(join(X_63,X_64),join(X_108,meet(X_106,join(X_64,X_63))))
    | join(X_108,join(X_63,X_64)) = join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63))))) ),
    inference(resolve,[$cnf( $equal(join(join(X_63,X_64),join(X_108,meet(X_106,join(X_64,X_63)))),join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63)))))) )],[refute_0_636,refute_0_637]) ).

cnf(refute_0_639,plain,
    join(X_108,join(X_63,X_64)) = join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63))))),
    inference(resolve,[$cnf( $equal(join(X_108,join(X_63,X_64)),join(join(X_63,X_64),join(X_108,meet(X_106,join(X_64,X_63))))) )],[refute_0_635,refute_0_638]) ).

cnf(refute_0_640,plain,
    ( join(X_108,join(X_63,X_64)) != join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63)))))
    | join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63))))) = join(X_108,join(X_63,X_64)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_108,join(X_63,X_64)))),bind(Y0,$fot(join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63)))))))]]) ).

cnf(refute_0_641,plain,
    join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63))))) = join(X_108,join(X_63,X_64)),
    inference(resolve,[$cnf( $equal(join(X_108,join(X_63,X_64)),join(X_63,join(X_64,join(X_108,meet(X_106,join(X_64,X_63)))))) )],[refute_0_639,refute_0_640]) ).

cnf(refute_0_642,plain,
    join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))) = join(meet(X_137,X_138),join(meet(X_138,X_137),X_136)),
    inference(subst,[],[refute_0_641:[bind(X_106,$fot(X_11)),bind(X_108,$fot(meet(X_137,X_138))),bind(X_63,$fot(meet(X_138,X_137))),bind(X_64,$fot(X_136))]]) ).

cnf(refute_0_643,plain,
    ( join(meet(X_137,X_138),join(meet(X_138,X_137),X_136)) != join(meet(X_137,X_138),X_136)
    | join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))) != join(meet(X_137,X_138),join(meet(X_138,X_137),X_136))
    | join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))) = join(meet(X_137,X_138),X_136) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))))),bind(Y0,$fot(join(meet(X_137,X_138),join(meet(X_138,X_137),X_136)))),bind(Z0,$fot(join(meet(X_137,X_138),X_136)))]]) ).

cnf(refute_0_644,plain,
    ( join(meet(X_137,X_138),join(meet(X_138,X_137),X_136)) != join(meet(X_137,X_138),X_136)
    | join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))) = join(meet(X_137,X_138),X_136) ),
    inference(resolve,[$cnf( $equal(join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))),join(meet(X_137,X_138),join(meet(X_138,X_137),X_136))) )],[refute_0_642,refute_0_643]) ).

cnf(refute_0_645,plain,
    join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))) = join(meet(X_137,X_138),X_136),
    inference(resolve,[$cnf( $equal(join(meet(X_137,X_138),join(meet(X_138,X_137),X_136)),join(meet(X_137,X_138),X_136)) )],[refute_0_630,refute_0_644]) ).

cnf(refute_0_646,plain,
    join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137)))) = join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137))))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_136)),bind(Y,$fot(meet(X_137,X_138))),bind(Z,$fot(meet(X_11,join(X_136,meet(X_138,X_137)))))]]) ).

cnf(refute_0_647,plain,
    join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) = join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))),
    introduced(tautology,[refl,[$fot(join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))))]]) ).

cnf(refute_0_648,plain,
    ( join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137)))) != join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))
    | join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) != join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137)))))
    | join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) = join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))),join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137)))))) ),[1,1],$fot(join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137))))))]]) ).

cnf(refute_0_649,plain,
    ( join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137)))) != join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))
    | join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) = join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))),join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137)))))) )],[refute_0_647,refute_0_648]) ).

cnf(refute_0_650,plain,
    join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) = join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))),
    inference(resolve,[$cnf( $equal(join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137)))),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))) )],[refute_0_646,refute_0_649]) ).

cnf(refute_0_651,plain,
    ( join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))) != join(meet(X_137,X_138),X_136)
    | join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) != join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137))))))
    | join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) = join(meet(X_137,X_138),X_136) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))))),bind(Y0,$fot(join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))))),bind(Z0,$fot(join(meet(X_137,X_138),X_136)))]]) ).

cnf(refute_0_652,plain,
    ( join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))) != join(meet(X_137,X_138),X_136)
    | join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) = join(meet(X_137,X_138),X_136) ),
    inference(resolve,[$cnf( $equal(join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))),join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137))))))) )],[refute_0_650,refute_0_651]) ).

cnf(refute_0_653,plain,
    join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) = join(meet(X_137,X_138),X_136),
    inference(resolve,[$cnf( $equal(join(meet(X_138,X_137),join(X_136,join(meet(X_137,X_138),meet(X_11,join(X_136,meet(X_138,X_137)))))),join(meet(X_137,X_138),X_136)) )],[refute_0_645,refute_0_652]) ).

cnf(refute_0_654,plain,
    ( join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) != join(meet(X_137,X_138),X_136)
    | join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) != join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))
    | join(meet(X_137,X_138),X_136) = join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))),join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))) ),[0],$fot(join(meet(X_137,X_138),X_136))]]) ).

cnf(refute_0_655,plain,
    ( join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) != join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))
    | join(meet(X_137,X_138),X_136) = join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))),join(meet(X_137,X_138),X_136)) )],[refute_0_653,refute_0_654]) ).

cnf(refute_0_656,plain,
    ( join(meet(X_137,X_138),X_136) != join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))
    | join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))) != join(X_136,meet(X_138,X_137))
    | join(meet(X_137,X_138),X_136) = join(X_136,meet(X_138,X_137)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_137,X_138),X_136),join(X_136,meet(X_138,X_137))) ),[0],$fot(join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))))]]) ).

cnf(refute_0_657,plain,
    ( join(meet(X_137,X_138),X_136) != join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))
    | join(meet(X_137,X_138),X_136) = join(X_136,meet(X_138,X_137)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_138,X_137),join(X_136,meet(X_137,X_138))),join(X_136,meet(X_138,X_137))) )],[refute_0_551,refute_0_656]) ).

cnf(refute_0_658,plain,
    ( join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))) != join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))
    | join(meet(X_137,X_138),X_136) = join(X_136,meet(X_138,X_137)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_137,X_138),X_136),join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))) )],[refute_0_655,refute_0_657]) ).

cnf(refute_0_659,plain,
    join(meet(X_137,X_138),X_136) = join(X_136,meet(X_138,X_137)),
    inference(resolve,[$cnf( $equal(join(meet(X_138,X_137),join(join(X_136,meet(X_137,X_138)),meet(X_11,join(X_136,meet(X_138,X_137))))),join(meet(X_138,X_137),join(X_136,meet(X_137,X_138)))) )],[refute_0_629,refute_0_658]) ).

cnf(refute_0_660,plain,
    ( join(meet(X_137,X_138),X_136) != join(X_136,meet(X_138,X_137))
    | join(X_136,meet(X_138,X_137)) = join(meet(X_137,X_138),X_136) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(meet(X_137,X_138),X_136))),bind(Y0,$fot(join(X_136,meet(X_138,X_137))))]]) ).

cnf(refute_0_661,plain,
    join(X_136,meet(X_138,X_137)) = join(meet(X_137,X_138),X_136),
    inference(resolve,[$cnf( $equal(join(meet(X_137,X_138),X_136),join(X_136,meet(X_138,X_137))) )],[refute_0_659,refute_0_660]) ).

cnf(refute_0_662,plain,
    join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) = join(meet(X_17,X_16),join(meet(X_16,X_17),X_145)),
    inference(subst,[],[refute_0_661:[bind(X_136,$fot(join(meet(X_16,X_17),X_145))),bind(X_137,$fot(X_17)),bind(X_138,$fot(X_16))]]) ).

cnf(refute_0_663,plain,
    ( join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) != join(meet(X_17,X_16),join(meet(X_16,X_17),X_145))
    | join(meet(X_17,X_16),join(meet(X_16,X_17),X_145)) != join(meet(X_17,X_16),X_145)
    | join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) = join(meet(X_17,X_16),X_145) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)))),bind(Y0,$fot(join(meet(X_17,X_16),join(meet(X_16,X_17),X_145)))),bind(Z0,$fot(join(meet(X_17,X_16),X_145)))]]) ).

cnf(refute_0_664,plain,
    ( join(meet(X_17,X_16),join(meet(X_16,X_17),X_145)) != join(meet(X_17,X_16),X_145)
    | join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) = join(meet(X_17,X_16),X_145) ),
    inference(resolve,[$cnf( $equal(join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)),join(meet(X_17,X_16),join(meet(X_16,X_17),X_145))) )],[refute_0_662,refute_0_663]) ).

cnf(refute_0_665,plain,
    join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) = join(meet(X_17,X_16),X_145),
    inference(resolve,[$cnf( $equal(join(meet(X_17,X_16),join(meet(X_16,X_17),X_145)),join(meet(X_17,X_16),X_145)) )],[refute_0_620,refute_0_664]) ).

cnf(refute_0_666,plain,
    ( join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) != join(meet(X_16,X_17),X_145)
    | join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) != join(meet(X_17,X_16),X_145)
    | join(meet(X_17,X_16),X_145) = join(meet(X_16,X_17),X_145) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)),join(meet(X_16,X_17),X_145)) ),[0],$fot(join(meet(X_17,X_16),X_145))]]) ).

cnf(refute_0_667,plain,
    ( join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)) != join(meet(X_16,X_17),X_145)
    | join(meet(X_17,X_16),X_145) = join(meet(X_16,X_17),X_145) ),
    inference(resolve,[$cnf( $equal(join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)),join(meet(X_17,X_16),X_145)) )],[refute_0_665,refute_0_666]) ).

cnf(refute_0_668,plain,
    join(meet(X_17,X_16),X_145) = join(meet(X_16,X_17),X_145),
    inference(resolve,[$cnf( $equal(join(join(meet(X_16,X_17),X_145),meet(X_16,X_17)),join(meet(X_16,X_17),X_145)) )],[refute_0_613,refute_0_667]) ).

cnf(refute_0_669,plain,
    join(meet(X_166,X_165),X_20) = join(meet(X_165,X_166),X_20),
    inference(subst,[],[refute_0_668:[bind(X_145,$fot(X_20)),bind(X_16,$fot(X_165)),bind(X_17,$fot(X_166))]]) ).

cnf(refute_0_670,plain,
    ( join(X_20,join(meet(X_166,X_165),X_21)) != join(X_21,join(meet(X_166,X_165),X_20))
    | join(meet(X_166,X_165),X_20) != join(meet(X_165,X_166),X_20)
    | join(X_20,join(meet(X_166,X_165),X_21)) = join(X_21,join(meet(X_165,X_166),X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_20,join(meet(X_166,X_165),X_21)),join(X_21,join(meet(X_166,X_165),X_20))) ),[1,1],$fot(join(meet(X_165,X_166),X_20))]]) ).

cnf(refute_0_671,plain,
    ( join(X_20,join(meet(X_166,X_165),X_21)) != join(X_21,join(meet(X_166,X_165),X_20))
    | join(X_20,join(meet(X_166,X_165),X_21)) = join(X_21,join(meet(X_165,X_166),X_20)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_166,X_165),X_20),join(meet(X_165,X_166),X_20)) )],[refute_0_669,refute_0_670]) ).

cnf(refute_0_672,plain,
    join(X_20,join(meet(X_166,X_165),X_21)) = join(X_21,join(meet(X_165,X_166),X_20)),
    inference(resolve,[$cnf( $equal(join(X_20,join(meet(X_166,X_165),X_21)),join(X_21,join(meet(X_166,X_165),X_20))) )],[refute_0_603,refute_0_671]) ).

cnf(refute_0_673,plain,
    ( join(X_20,join(meet(X_166,X_165),X_21)) != join(X_21,join(meet(X_165,X_166),X_20))
    | join(X_21,join(meet(X_165,X_166),X_20)) = join(X_20,join(meet(X_166,X_165),X_21)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_20,join(meet(X_166,X_165),X_21)))),bind(Y0,$fot(join(X_21,join(meet(X_165,X_166),X_20))))]]) ).

cnf(refute_0_674,plain,
    join(X_21,join(meet(X_165,X_166),X_20)) = join(X_20,join(meet(X_166,X_165),X_21)),
    inference(resolve,[$cnf( $equal(join(X_20,join(meet(X_166,X_165),X_21)),join(X_21,join(meet(X_165,X_166),X_20))) )],[refute_0_672,refute_0_673]) ).

cnf(refute_0_675,plain,
    join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) = join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))),
    inference(subst,[],[refute_0_674:[bind(X_165,$fot(X_171)),bind(X_166,$fot(X_172)),bind(X_20,$fot(meet(X_170,X_172))),bind(X_21,$fot(join(X_171,meet(X_172,X_170))))]]) ).

cnf(refute_0_676,plain,
    ( join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) != join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170))))
    | join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))) != join(X_171,meet(X_170,X_172))
    | join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) = join(X_171,meet(X_170,X_172)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))))),bind(Y0,$fot(join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))))),bind(Z0,$fot(join(X_171,meet(X_170,X_172))))]]) ).

cnf(refute_0_677,plain,
    ( join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))) != join(X_171,meet(X_170,X_172))
    | join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) = join(X_171,meet(X_170,X_172)) ),
    inference(resolve,[$cnf( $equal(join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))),join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170))))) )],[refute_0_675,refute_0_676]) ).

cnf(refute_0_678,plain,
    join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) = join(X_171,meet(X_170,X_172)),
    inference(resolve,[$cnf( $equal(join(meet(X_170,X_172),join(meet(X_172,X_171),join(X_171,meet(X_172,X_170)))),join(X_171,meet(X_170,X_172))) )],[refute_0_602,refute_0_677]) ).

cnf(refute_0_679,plain,
    ( join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) != join(X_171,meet(X_170,X_172))
    | join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) != join(X_171,meet(X_172,X_170))
    | join(X_171,meet(X_170,X_172)) = join(X_171,meet(X_172,X_170)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))),join(X_171,meet(X_172,X_170))) ),[0],$fot(join(X_171,meet(X_170,X_172)))]]) ).

cnf(refute_0_680,plain,
    ( join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))) != join(X_171,meet(X_172,X_170))
    | join(X_171,meet(X_170,X_172)) = join(X_171,meet(X_172,X_170)) ),
    inference(resolve,[$cnf( $equal(join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))),join(X_171,meet(X_170,X_172))) )],[refute_0_678,refute_0_679]) ).

cnf(refute_0_681,plain,
    join(X_171,meet(X_170,X_172)) = join(X_171,meet(X_172,X_170)),
    inference(resolve,[$cnf( $equal(join(join(X_171,meet(X_172,X_170)),join(meet(X_171,X_172),meet(X_170,X_172))),join(X_171,meet(X_172,X_170))) )],[refute_0_535,refute_0_680]) ).

cnf(refute_0_682,plain,
    ( join(X_171,meet(X_170,X_172)) != join(X_171,meet(X_172,X_170))
    | join(X_171,meet(X_172,X_170)) = join(X_171,meet(X_170,X_172)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_171,meet(X_170,X_172)))),bind(Y0,$fot(join(X_171,meet(X_172,X_170))))]]) ).

cnf(refute_0_683,plain,
    join(X_171,meet(X_172,X_170)) = join(X_171,meet(X_170,X_172)),
    inference(resolve,[$cnf( $equal(join(X_171,meet(X_170,X_172)),join(X_171,meet(X_172,X_170))) )],[refute_0_681,refute_0_682]) ).

cnf(refute_0_684,plain,
    join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)) = join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))),
    inference(subst,[],[refute_0_683:[bind(X_172,$fot(meet(X_16,meet(X_17,X_170))))]]) ).

cnf(refute_0_685,plain,
    ( join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))) != join(X_171,meet(X_170,meet(X_16,X_17)))
    | join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)) != join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170))))
    | join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)) = join(X_171,meet(X_170,meet(X_16,X_17))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)))),bind(Y0,$fot(join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))))),bind(Z0,$fot(join(X_171,meet(X_170,meet(X_16,X_17)))))]]) ).

cnf(refute_0_686,plain,
    ( join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))) != join(X_171,meet(X_170,meet(X_16,X_17)))
    | join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)) = join(X_171,meet(X_170,meet(X_16,X_17))) ),
    inference(resolve,[$cnf( $equal(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170))))) )],[refute_0_684,refute_0_685]) ).

cnf(refute_0_687,plain,
    join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)) = join(X_171,meet(X_170,meet(X_16,X_17))),
    inference(resolve,[$cnf( $equal(join(X_171,meet(X_170,meet(X_16,meet(X_17,X_170)))),join(X_171,meet(X_170,meet(X_16,X_17)))) )],[refute_0_531,refute_0_686]) ).

cnf(refute_0_688,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))),
    introduced(tautology,[refl,[$fot(meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))))]]) ).

cnf(refute_0_689,plain,
    ( join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)) != join(X_171,meet(X_170,meet(X_16,X_17)))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) != meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = meet(join(X_171,meet(X_170,meet(X_16,X_17))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))),meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))))) ),[1,0],$fot(join(X_171,meet(X_170,meet(X_16,X_17))))]]) ).

cnf(refute_0_690,plain,
    ( join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)) != join(X_171,meet(X_170,meet(X_16,X_17)))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = meet(join(X_171,meet(X_170,meet(X_16,X_17))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))),meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))))) )],[refute_0_688,refute_0_689]) ).

cnf(refute_0_691,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = meet(join(X_171,meet(X_170,meet(X_16,X_17))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))),
    inference(resolve,[$cnf( $equal(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(X_171,meet(X_170,meet(X_16,X_17)))) )],[refute_0_687,refute_0_690]) ).

cnf(refute_0_692,plain,
    ( meet(join(X_171,meet(X_170,meet(X_16,X_17))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) != join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) != meet(join(X_171,meet(X_170,meet(X_16,X_17))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))))),bind(Y0,$fot(meet(join(X_171,meet(X_170,meet(X_16,X_17))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))))),bind(Z0,$fot(join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))))]]) ).

cnf(refute_0_693,plain,
    ( meet(join(X_171,meet(X_170,meet(X_16,X_17))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) != join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))),meet(join(X_171,meet(X_170,meet(X_16,X_17))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))))) )],[refute_0_691,refute_0_692]) ).

cnf(refute_0_694,plain,
    meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) = join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_170,meet(X_16,X_17))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) )],[refute_0_527,refute_0_693]) ).

cnf(refute_0_695,plain,
    ( meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) != join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))
    | meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) != join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))
    | join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))) = join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))),join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))) ),[0],$fot(join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))))]]) ).

cnf(refute_0_696,plain,
    ( meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) != join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))
    | join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))) = join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) )],[refute_0_694,refute_0_695]) ).

cnf(refute_0_697,plain,
    join(meet(X_16,X_17),meet(meet(X_16,X_17),Y)) = meet(X_16,X_17),
    inference(subst,[],[absorption2:[bind(X,$fot(meet(X_16,X_17)))]]) ).

cnf(refute_0_698,plain,
    ( join(meet(X_16,X_17),meet(meet(X_16,X_17),Y)) != meet(X_16,X_17)
    | meet(meet(X_16,X_17),Y) != meet(X_16,meet(X_17,Y))
    | join(meet(X_16,X_17),meet(X_16,meet(X_17,Y))) = meet(X_16,X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_16,X_17),meet(meet(X_16,X_17),Y)),meet(X_16,X_17)) ),[0,1],$fot(meet(X_16,meet(X_17,Y)))]]) ).

cnf(refute_0_699,plain,
    ( join(meet(X_16,X_17),meet(meet(X_16,X_17),Y)) != meet(X_16,X_17)
    | join(meet(X_16,X_17),meet(X_16,meet(X_17,Y))) = meet(X_16,X_17) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),Y),meet(X_16,meet(X_17,Y))) )],[refute_0_396,refute_0_698]) ).

cnf(refute_0_700,plain,
    join(meet(X_16,X_17),meet(X_16,meet(X_17,Y))) = meet(X_16,X_17),
    inference(resolve,[$cnf( $equal(join(meet(X_16,X_17),meet(meet(X_16,X_17),Y)),meet(X_16,X_17)) )],[refute_0_697,refute_0_699]) ).

cnf(refute_0_701,plain,
    join(meet(X_152,meet(X,Y)),meet(X_152,meet(meet(X,Y),X_151))) = meet(X_152,meet(X,Y)),
    inference(subst,[],[refute_0_700:[bind(Y,$fot(X_151)),bind(X_16,$fot(X_152)),bind(X_17,$fot(meet(X,Y)))]]) ).

cnf(refute_0_702,plain,
    meet(meet(X,Y),X_151) = meet(X,meet(Y,X_151)),
    inference(subst,[],[associativity_of_meet:[bind(Z,$fot(X_151))]]) ).

cnf(refute_0_703,plain,
    ( join(meet(X_152,meet(X,Y)),meet(X_152,meet(meet(X,Y),X_151))) != meet(X_152,meet(X,Y))
    | meet(meet(X,Y),X_151) != meet(X,meet(Y,X_151))
    | join(meet(X_152,meet(X,Y)),meet(X_152,meet(X,meet(Y,X_151)))) = meet(X_152,meet(X,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_152,meet(X,Y)),meet(X_152,meet(meet(X,Y),X_151))),meet(X_152,meet(X,Y))) ),[0,1,1],$fot(meet(X,meet(Y,X_151)))]]) ).

cnf(refute_0_704,plain,
    ( join(meet(X_152,meet(X,Y)),meet(X_152,meet(meet(X,Y),X_151))) != meet(X_152,meet(X,Y))
    | join(meet(X_152,meet(X,Y)),meet(X_152,meet(X,meet(Y,X_151)))) = meet(X_152,meet(X,Y)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_151),meet(X,meet(Y,X_151))) )],[refute_0_702,refute_0_703]) ).

cnf(refute_0_705,plain,
    join(meet(X_152,meet(X,Y)),meet(X_152,meet(X,meet(Y,X_151)))) = meet(X_152,meet(X,Y)),
    inference(resolve,[$cnf( $equal(join(meet(X_152,meet(X,Y)),meet(X_152,meet(meet(X,Y),X_151))),meet(X_152,meet(X,Y))) )],[refute_0_701,refute_0_704]) ).

cnf(refute_0_706,plain,
    join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))) = meet(X_16,meet(X_17,X_170)),
    inference(subst,[],[refute_0_705:[bind(X,$fot(X_17)),bind(Y,$fot(X_170)),bind(X_151,$fot(X_171)),bind(X_152,$fot(X_16))]]) ).

cnf(refute_0_707,plain,
    meet(meet(X_17,X_170),X_171) = meet(X_17,meet(X_170,X_171)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_17)),bind(Y,$fot(X_170)),bind(Z,$fot(X_171))]]) ).

cnf(refute_0_708,plain,
    meet(X_16,meet(meet(X_17,X_170),X_171)) = meet(X_16,meet(meet(X_17,X_170),X_171)),
    introduced(tautology,[refl,[$fot(meet(X_16,meet(meet(X_17,X_170),X_171)))]]) ).

cnf(refute_0_709,plain,
    ( meet(X_16,meet(meet(X_17,X_170),X_171)) != meet(X_16,meet(meet(X_17,X_170),X_171))
    | meet(meet(X_17,X_170),X_171) != meet(X_17,meet(X_170,X_171))
    | meet(X_16,meet(meet(X_17,X_170),X_171)) = meet(X_16,meet(X_17,meet(X_170,X_171))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_16,meet(meet(X_17,X_170),X_171)),meet(X_16,meet(meet(X_17,X_170),X_171))) ),[1,1],$fot(meet(X_17,meet(X_170,X_171)))]]) ).

cnf(refute_0_710,plain,
    ( meet(meet(X_17,X_170),X_171) != meet(X_17,meet(X_170,X_171))
    | meet(X_16,meet(meet(X_17,X_170),X_171)) = meet(X_16,meet(X_17,meet(X_170,X_171))) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(meet(X_17,X_170),X_171)),meet(X_16,meet(meet(X_17,X_170),X_171))) )],[refute_0_708,refute_0_709]) ).

cnf(refute_0_711,plain,
    meet(X_16,meet(meet(X_17,X_170),X_171)) = meet(X_16,meet(X_17,meet(X_170,X_171))),
    inference(resolve,[$cnf( $equal(meet(meet(X_17,X_170),X_171),meet(X_17,meet(X_170,X_171))) )],[refute_0_707,refute_0_710]) ).

cnf(refute_0_712,plain,
    meet(meet(X_16,meet(X_17,X_170)),X_171) = meet(X_16,meet(meet(X_17,X_170),X_171)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(meet(X_17,X_170))),bind(Z,$fot(X_171))]]) ).

cnf(refute_0_713,plain,
    ( meet(X_16,meet(meet(X_17,X_170),X_171)) != meet(X_16,meet(X_17,meet(X_170,X_171)))
    | meet(meet(X_16,meet(X_17,X_170)),X_171) != meet(X_16,meet(meet(X_17,X_170),X_171))
    | meet(meet(X_16,meet(X_17,X_170)),X_171) = meet(X_16,meet(X_17,meet(X_170,X_171))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_16,meet(X_17,X_170)),X_171))),bind(Y0,$fot(meet(X_16,meet(meet(X_17,X_170),X_171)))),bind(Z0,$fot(meet(X_16,meet(X_17,meet(X_170,X_171)))))]]) ).

cnf(refute_0_714,plain,
    ( meet(X_16,meet(meet(X_17,X_170),X_171)) != meet(X_16,meet(X_17,meet(X_170,X_171)))
    | meet(meet(X_16,meet(X_17,X_170)),X_171) = meet(X_16,meet(X_17,meet(X_170,X_171))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,meet(X_17,X_170)),X_171),meet(X_16,meet(meet(X_17,X_170),X_171))) )],[refute_0_712,refute_0_713]) ).

cnf(refute_0_715,plain,
    meet(meet(X_16,meet(X_17,X_170)),X_171) = meet(X_16,meet(X_17,meet(X_170,X_171))),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(meet(X_17,X_170),X_171)),meet(X_16,meet(X_17,meet(X_170,X_171)))) )],[refute_0_711,refute_0_714]) ).

cnf(refute_0_716,plain,
    join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)),
    introduced(tautology,[refl,[$fot(join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)))]]) ).

cnf(refute_0_717,plain,
    ( join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)) != join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171))
    | meet(meet(X_16,meet(X_17,X_170)),X_171) != meet(X_16,meet(X_17,meet(X_170,X_171)))
    | join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)),join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171))) ),[1,1],$fot(meet(X_16,meet(X_17,meet(X_170,X_171))))]]) ).

cnf(refute_0_718,plain,
    ( meet(meet(X_16,meet(X_17,X_170)),X_171) != meet(X_16,meet(X_17,meet(X_170,X_171)))
    | join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)),join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171))) )],[refute_0_716,refute_0_717]) ).

cnf(refute_0_719,plain,
    join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,meet(X_17,X_170)),X_171),meet(X_16,meet(X_17,meet(X_170,X_171)))) )],[refute_0_715,refute_0_718]) ).

cnf(refute_0_720,plain,
    meet(meet(X_16,X_17),X_170) = meet(X_16,meet(X_17,X_170)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(X_170))]]) ).

cnf(refute_0_721,plain,
    join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)),
    introduced(tautology,[refl,[$fot(join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)))]]) ).

cnf(refute_0_722,plain,
    ( join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) != join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171))
    | meet(meet(X_16,X_17),X_170) != meet(X_16,meet(X_17,X_170))
    | join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)),join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171))) ),[1,0],$fot(meet(X_16,meet(X_17,X_170)))]]) ).

cnf(refute_0_723,plain,
    ( meet(meet(X_16,X_17),X_170) != meet(X_16,meet(X_17,X_170))
    | join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)),join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171))) )],[refute_0_721,refute_0_722]) ).

cnf(refute_0_724,plain,
    join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),X_170),meet(X_16,meet(X_17,X_170))) )],[refute_0_720,refute_0_723]) ).

cnf(refute_0_725,plain,
    ( join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)) != join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171))))
    | join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) != join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171))
    | join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)))),bind(Y0,$fot(join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)))),bind(Z0,$fot(join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171))))))]]) ).

cnf(refute_0_726,plain,
    ( join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)) != join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171))))
    | join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)),join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171))) )],[refute_0_724,refute_0_725]) ).

cnf(refute_0_727,plain,
    join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) = join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))),
    inference(resolve,[$cnf( $equal(join(meet(X_16,meet(X_17,X_170)),meet(meet(X_16,meet(X_17,X_170)),X_171)),join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171))))) )],[refute_0_719,refute_0_726]) ).

cnf(refute_0_728,plain,
    ( join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))) != meet(X_16,meet(X_17,X_170))
    | join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) != join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171))))
    | join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) = meet(X_16,meet(X_17,X_170)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)))),bind(Y0,$fot(join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))))),bind(Z0,$fot(meet(X_16,meet(X_17,X_170))))]]) ).

cnf(refute_0_729,plain,
    ( join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))) != meet(X_16,meet(X_17,X_170))
    | join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) = meet(X_16,meet(X_17,X_170)) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)),join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171))))) )],[refute_0_727,refute_0_728]) ).

cnf(refute_0_730,plain,
    join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) = meet(X_16,meet(X_17,X_170)),
    inference(resolve,[$cnf( $equal(join(meet(X_16,meet(X_17,X_170)),meet(X_16,meet(X_17,meet(X_170,X_171)))),meet(X_16,meet(X_17,X_170))) )],[refute_0_706,refute_0_729]) ).

cnf(refute_0_731,plain,
    join(meet(X_137,X_138),meet(X_166,X_165)) = join(meet(X_166,X_165),meet(X_138,X_137)),
    inference(subst,[],[refute_0_659:[bind(X_136,$fot(meet(X_166,X_165)))]]) ).

cnf(refute_0_732,plain,
    join(meet(X_166,X_165),meet(X_138,X_137)) = join(meet(X_165,X_166),meet(X_138,X_137)),
    inference(subst,[],[refute_0_668:[bind(X_145,$fot(meet(X_138,X_137))),bind(X_16,$fot(X_165)),bind(X_17,$fot(X_166))]]) ).

cnf(refute_0_733,plain,
    ( join(meet(X_137,X_138),meet(X_166,X_165)) != join(meet(X_166,X_165),meet(X_138,X_137))
    | join(meet(X_166,X_165),meet(X_138,X_137)) != join(meet(X_165,X_166),meet(X_138,X_137))
    | join(meet(X_137,X_138),meet(X_166,X_165)) = join(meet(X_165,X_166),meet(X_138,X_137)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_137,X_138),meet(X_166,X_165)),join(meet(X_165,X_166),meet(X_138,X_137))) ),[0],$fot(join(meet(X_166,X_165),meet(X_138,X_137)))]]) ).

cnf(refute_0_734,plain,
    ( join(meet(X_137,X_138),meet(X_166,X_165)) != join(meet(X_166,X_165),meet(X_138,X_137))
    | join(meet(X_137,X_138),meet(X_166,X_165)) = join(meet(X_165,X_166),meet(X_138,X_137)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_166,X_165),meet(X_138,X_137)),join(meet(X_165,X_166),meet(X_138,X_137))) )],[refute_0_732,refute_0_733]) ).

cnf(refute_0_735,plain,
    join(meet(X_137,X_138),meet(X_166,X_165)) = join(meet(X_165,X_166),meet(X_138,X_137)),
    inference(resolve,[$cnf( $equal(join(meet(X_137,X_138),meet(X_166,X_165)),join(meet(X_166,X_165),meet(X_138,X_137))) )],[refute_0_731,refute_0_734]) ).

cnf(refute_0_736,plain,
    ( join(meet(X_137,X_138),meet(X_166,X_165)) != join(meet(X_165,X_166),meet(X_138,X_137))
    | join(meet(X_165,X_166),meet(X_138,X_137)) = join(meet(X_137,X_138),meet(X_166,X_165)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(meet(X_137,X_138),meet(X_166,X_165)))),bind(Y0,$fot(join(meet(X_165,X_166),meet(X_138,X_137))))]]) ).

cnf(refute_0_737,plain,
    join(meet(X_165,X_166),meet(X_138,X_137)) = join(meet(X_137,X_138),meet(X_166,X_165)),
    inference(resolve,[$cnf( $equal(join(meet(X_137,X_138),meet(X_166,X_165)),join(meet(X_165,X_166),meet(X_138,X_137))) )],[refute_0_735,refute_0_736]) ).

cnf(refute_0_738,plain,
    join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) = join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)),
    inference(subst,[],[refute_0_737:[bind(X_137,$fot(meet(X_16,X_17))),bind(X_138,$fot(X_170)),bind(X_165,$fot(X_171)),bind(X_166,$fot(meet(X_16,meet(X_17,X_170))))]]) ).

cnf(refute_0_739,plain,
    ( join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) != join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171))
    | join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) != meet(X_16,meet(X_17,X_170))
    | join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) = meet(X_16,meet(X_17,X_170)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))))),bind(Y0,$fot(join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)))),bind(Z0,$fot(meet(X_16,meet(X_17,X_170))))]]) ).

cnf(refute_0_740,plain,
    ( join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)) != meet(X_16,meet(X_17,X_170))
    | join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) = meet(X_16,meet(X_17,X_170)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))),join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171))) )],[refute_0_738,refute_0_739]) ).

cnf(refute_0_741,plain,
    join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) = meet(X_16,meet(X_17,X_170)),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_16,X_17),X_170),meet(meet(X_16,meet(X_17,X_170)),X_171)),meet(X_16,meet(X_17,X_170))) )],[refute_0_730,refute_0_740]) ).

cnf(refute_0_742,plain,
    join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) = join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))),
    introduced(tautology,[refl,[$fot(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))))]]) ).

cnf(refute_0_743,plain,
    ( join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) != join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))
    | meet(X_170,meet(X_16,meet(X_17,X_170))) != meet(X_170,meet(X_16,X_17))
    | join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) = join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))),join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))) ),[1,1],$fot(meet(X_170,meet(X_16,X_17)))]]) ).

cnf(refute_0_744,plain,
    ( meet(X_170,meet(X_16,meet(X_17,X_170))) != meet(X_170,meet(X_16,X_17))
    | join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) = join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))),join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))) )],[refute_0_742,refute_0_743]) ).

cnf(refute_0_745,plain,
    join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) = join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))),
    inference(resolve,[$cnf( $equal(meet(X_170,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) )],[refute_0_505,refute_0_744]) ).

cnf(refute_0_746,plain,
    ( join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) != meet(X_16,meet(X_17,X_170))
    | join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) != join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17)))
    | join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) = meet(X_16,meet(X_17,X_170)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))))),bind(Y0,$fot(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))))),bind(Z0,$fot(meet(X_16,meet(X_17,X_170))))]]) ).

cnf(refute_0_747,plain,
    ( join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))) != meet(X_16,meet(X_17,X_170))
    | join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) = meet(X_16,meet(X_17,X_170)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))),join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17)))) )],[refute_0_745,refute_0_746]) ).

cnf(refute_0_748,plain,
    join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) = meet(X_16,meet(X_17,X_170)),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,X_17))),meet(X_16,meet(X_17,X_170))) )],[refute_0_741,refute_0_747]) ).

cnf(refute_0_749,plain,
    ( join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))) != join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))
    | join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))) != meet(X_16,meet(X_17,X_170))
    | join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))) = meet(X_16,meet(X_17,X_170)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))),meet(X_16,meet(X_17,X_170))) ),[0],$fot(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))))]]) ).

cnf(refute_0_750,plain,
    ( join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))) != join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))
    | join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))) = meet(X_16,meet(X_17,X_170)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170)))),meet(X_16,meet(X_17,X_170))) )],[refute_0_748,refute_0_749]) ).

cnf(refute_0_751,plain,
    ( meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))) != join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))
    | join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))) = meet(X_16,meet(X_17,X_170)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))),join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))) )],[refute_0_696,refute_0_750]) ).

cnf(refute_0_752,plain,
    join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170)))) = meet(X_16,meet(X_17,X_170)),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_16,meet(X_17,X_170)),X_170)),join(meet(X_170,meet(X_16,X_17)),meet(X_171,meet(X_16,meet(X_17,X_170))))),join(meet(X_171,meet(X_16,meet(X_17,X_170))),meet(X_170,meet(X_16,meet(X_17,X_170))))) )],[refute_0_508,refute_0_751]) ).

cnf(refute_0_753,plain,
    join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) = meet(X_16,meet(X_17,X_171)),
    inference(subst,[],[refute_0_752:[bind(X_170,$fot(X_171)),bind(X_171,$fot(X_170))]]) ).

cnf(refute_0_754,plain,
    meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),
    introduced(tautology,[refl,[$fot(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))))]]) ).

cnf(refute_0_755,plain,
    ( join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) != meet(X_16,meet(X_17,X_171))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(X_171,meet(X_16,meet(X_17,X_171))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))) ),[1,1],$fot(meet(X_16,meet(X_17,X_171)))]]) ).

cnf(refute_0_756,plain,
    ( join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) != meet(X_16,meet(X_17,X_171))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(X_171,meet(X_16,meet(X_17,X_171))) ),
    inference(resolve,[$cnf( $equal(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))))) )],[refute_0_754,refute_0_755]) ).

cnf(refute_0_757,plain,
    meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(X_171,meet(X_16,meet(X_17,X_171))),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))),meet(X_16,meet(X_17,X_171))) )],[refute_0_753,refute_0_756]) ).

cnf(refute_0_758,plain,
    ( meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != meet(X_171,meet(X_16,meet(X_17,X_171)))
    | meet(X_171,meet(X_16,meet(X_17,X_171))) != meet(X_171,meet(X_16,X_17))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(X_171,meet(X_16,X_17)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))))),bind(Y0,$fot(meet(X_171,meet(X_16,meet(X_17,X_171))))),bind(Z0,$fot(meet(X_171,meet(X_16,X_17))))]]) ).

cnf(refute_0_759,plain,
    ( meet(X_171,meet(X_16,meet(X_17,X_171))) != meet(X_171,meet(X_16,X_17))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(X_171,meet(X_16,X_17)) ),
    inference(resolve,[$cnf( $equal(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),meet(X_171,meet(X_16,meet(X_17,X_171)))) )],[refute_0_757,refute_0_758]) ).

cnf(refute_0_760,plain,
    meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) = meet(X_171,meet(X_16,X_17)),
    inference(resolve,[$cnf( $equal(meet(X_171,meet(X_16,meet(X_17,X_171))),meet(X_171,meet(X_16,X_17))) )],[refute_0_423,refute_0_759]) ).

cnf(refute_0_761,plain,
    ( meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != meet(X_171,meet(X_16,X_17))
    | meet(X_171,meet(X_16,X_17)) = join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) ),[0],$fot(meet(X_171,meet(X_16,X_17)))]]) ).

cnf(refute_0_762,plain,
    ( meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,meet(X_16,X_17)) = join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) ),
    inference(resolve,[$cnf( $equal(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),meet(X_171,meet(X_16,X_17))) )],[refute_0_760,refute_0_761]) ).

cnf(refute_0_763,plain,
    ( join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))) != meet(X_16,meet(X_17,X_171))
    | meet(X_171,meet(X_16,X_17)) != join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,meet(X_16,X_17)) = meet(X_16,meet(X_17,X_171)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_171,meet(X_16,X_17)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) ),[1],$fot(meet(X_16,meet(X_17,X_171)))]]) ).

cnf(refute_0_764,plain,
    ( meet(X_171,meet(X_16,X_17)) != join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,meet(X_16,X_17)) = meet(X_16,meet(X_17,X_171)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171)))),meet(X_16,meet(X_17,X_171))) )],[refute_0_753,refute_0_763]) ).

cnf(refute_0_765,plain,
    ( meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) != join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))
    | meet(X_171,meet(X_16,X_17)) = meet(X_16,meet(X_17,X_171)) ),
    inference(resolve,[$cnf( $equal(meet(X_171,meet(X_16,X_17)),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) )],[refute_0_762,refute_0_764]) ).

cnf(refute_0_766,plain,
    meet(X_171,meet(X_16,X_17)) = meet(X_16,meet(X_17,X_171)),
    inference(resolve,[$cnf( $equal(meet(X_171,join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))),join(meet(X_171,meet(X_16,X_17)),meet(X_170,meet(X_16,meet(X_17,X_171))))) )],[refute_0_503,refute_0_765]) ).

cnf(refute_0_767,plain,
    ( meet(X_171,meet(X_16,X_17)) != meet(X_16,meet(X_17,X_171))
    | meet(X_16,meet(X_17,X_171)) = meet(X_171,meet(X_16,X_17)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_171,meet(X_16,X_17)))),bind(Y0,$fot(meet(X_16,meet(X_17,X_171))))]]) ).

cnf(refute_0_768,plain,
    meet(X_16,meet(X_17,X_171)) = meet(X_171,meet(X_16,X_17)),
    inference(resolve,[$cnf( $equal(meet(X_171,meet(X_16,X_17)),meet(X_16,meet(X_17,X_171))) )],[refute_0_766,refute_0_767]) ).

cnf(refute_0_769,plain,
    meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)),
    inference(subst,[],[refute_0_768:[bind(X_16,$fot(join(X_181,meet(X_16,X_180)))),bind(X_17,$fot(X_16)),bind(X_171,$fot(join(X_180,X_181)))]]) ).

cnf(refute_0_770,plain,
    ( meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)) != meet(X_16,join(meet(X_180,X_16),X_181))
    | meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) != meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16))
    | meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = meet(X_16,join(meet(X_180,X_16),X_181)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))))),bind(Y0,$fot(meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)))),bind(Z0,$fot(meet(X_16,join(meet(X_180,X_16),X_181))))]]) ).

cnf(refute_0_771,plain,
    ( meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)) != meet(X_16,join(meet(X_180,X_16),X_181))
    | meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = meet(X_16,join(meet(X_180,X_16),X_181)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))),meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16))) )],[refute_0_769,refute_0_770]) ).

cnf(refute_0_772,plain,
    meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = meet(X_16,join(meet(X_180,X_16),X_181)),
    inference(resolve,[$cnf( $equal(meet(join(X_180,X_181),meet(join(X_181,meet(X_16,X_180)),X_16)),meet(X_16,join(meet(X_180,X_16),X_181))) )],[refute_0_421,refute_0_771]) ).

cnf(refute_0_773,plain,
    ( meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) != meet(X_16,join(X_180,X_181))
    | meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) != meet(X_16,join(meet(X_180,X_16),X_181))
    | meet(X_16,join(meet(X_180,X_16),X_181)) = meet(X_16,join(X_180,X_181)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))),meet(X_16,join(X_180,X_181))) ),[0],$fot(meet(X_16,join(meet(X_180,X_16),X_181)))]]) ).

cnf(refute_0_774,plain,
    ( meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) != meet(X_16,join(X_180,X_181))
    | meet(X_16,join(meet(X_180,X_16),X_181)) = meet(X_16,join(X_180,X_181)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))),meet(X_16,join(meet(X_180,X_16),X_181))) )],[refute_0_772,refute_0_773]) ).

cnf(refute_0_775,plain,
    meet(X_16,join(meet(X_180,X_16),X_181)) = meet(X_16,join(X_180,X_181)),
    inference(resolve,[$cnf( $equal(meet(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))),meet(X_16,join(X_180,X_181))) )],[refute_0_312,refute_0_774]) ).

cnf(refute_0_776,plain,
    meet(X_172,join(meet(X_170,X_172),X_171)) = meet(X_172,join(X_170,X_171)),
    inference(subst,[],[refute_0_775:[bind(X_16,$fot(X_172)),bind(X_180,$fot(X_170)),bind(X_181,$fot(X_171))]]) ).

cnf(refute_0_777,plain,
    meet(join(X_171,meet(X_172,X_170)),X_172) = meet(X_172,join(meet(X_170,X_172),X_171)),
    inference(subst,[],[refute_0_381:[bind(X_16,$fot(X_172)),bind(X_176,$fot(X_170)),bind(X_177,$fot(X_172)),bind(X_63,$fot(X_171))]]) ).

cnf(refute_0_778,plain,
    ( meet(X_172,join(meet(X_170,X_172),X_171)) != meet(X_172,join(X_170,X_171))
    | meet(join(X_171,meet(X_172,X_170)),X_172) != meet(X_172,join(meet(X_170,X_172),X_171))
    | meet(join(X_171,meet(X_172,X_170)),X_172) = meet(X_172,join(X_170,X_171)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_171,meet(X_172,X_170)),X_172))),bind(Y0,$fot(meet(X_172,join(meet(X_170,X_172),X_171)))),bind(Z0,$fot(meet(X_172,join(X_170,X_171))))]]) ).

cnf(refute_0_779,plain,
    ( meet(X_172,join(meet(X_170,X_172),X_171)) != meet(X_172,join(X_170,X_171))
    | meet(join(X_171,meet(X_172,X_170)),X_172) = meet(X_172,join(X_170,X_171)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),X_172),meet(X_172,join(meet(X_170,X_172),X_171))) )],[refute_0_777,refute_0_778]) ).

cnf(refute_0_780,plain,
    meet(join(X_171,meet(X_172,X_170)),X_172) = meet(X_172,join(X_170,X_171)),
    inference(resolve,[$cnf( $equal(meet(X_172,join(meet(X_170,X_172),X_171)),meet(X_172,join(X_170,X_171))) )],[refute_0_776,refute_0_779]) ).

cnf(refute_0_781,plain,
    meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)) = meet(join(X_171,meet(X_172,X_170)),X_172),
    inference(subst,[],[refute_0_417:[bind(Y,$fot(X_172)),bind(X_154,$fot(X_172)),bind(X_156,$fot(X_171)),bind(X_25,$fot(X_170))]]) ).

cnf(refute_0_782,plain,
    ( meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)) != meet(join(X_171,meet(X_172,X_170)),X_172)
    | meet(join(X_171,meet(X_172,X_170)),X_172) != meet(X_172,join(X_170,X_171))
    | meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)) = meet(X_172,join(X_170,X_171)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)))),bind(Y0,$fot(meet(join(X_171,meet(X_172,X_170)),X_172))),bind(Z0,$fot(meet(X_172,join(X_170,X_171))))]]) ).

cnf(refute_0_783,plain,
    ( meet(join(X_171,meet(X_172,X_170)),X_172) != meet(X_172,join(X_170,X_171))
    | meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)) = meet(X_172,join(X_170,X_171)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)),meet(join(X_171,meet(X_172,X_170)),X_172)) )],[refute_0_781,refute_0_782]) ).

cnf(refute_0_784,plain,
    meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)) = meet(X_172,join(X_170,X_171)),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),X_172),meet(X_172,join(X_170,X_171))) )],[refute_0_780,refute_0_783]) ).

cnf(refute_0_785,plain,
    meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))) = meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)),
    inference(subst,[],[refute_0_768:[bind(X_16,$fot(join(X_171,meet(X_172,X_170)))),bind(X_17,$fot(X_172)),bind(X_171,$fot(join(X_170,X_171)))]]) ).

cnf(refute_0_786,plain,
    ( meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)) != meet(X_172,join(X_170,X_171))
    | meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))) != meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172))
    | meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))) = meet(X_172,join(X_170,X_171)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))))),bind(Y0,$fot(meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)))),bind(Z0,$fot(meet(X_172,join(X_170,X_171))))]]) ).

cnf(refute_0_787,plain,
    ( meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)) != meet(X_172,join(X_170,X_171))
    | meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))) = meet(X_172,join(X_170,X_171)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))),meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172))) )],[refute_0_785,refute_0_786]) ).

cnf(refute_0_788,plain,
    meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))) = meet(X_172,join(X_170,X_171)),
    inference(resolve,[$cnf( $equal(meet(join(X_170,X_171),meet(join(X_171,meet(X_172,X_170)),X_172)),meet(X_172,join(X_170,X_171))) )],[refute_0_784,refute_0_787]) ).

cnf(refute_0_789,plain,
    meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))) = join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))),
    inference(subst,[],[refute_0_58:[bind(Y,$fot(meet(X_85,Z)))]]) ).

cnf(refute_0_790,plain,
    join(Z,meet(X,meet(X_85,Z))) = Z,
    inference(subst,[],[refute_0_131:[bind(X_10,$fot(Z)),bind(X_16,$fot(X)),bind(X_17,$fot(X_85))]]) ).

cnf(refute_0_791,plain,
    ( join(Z,meet(X,meet(X_85,Z))) != Z
    | meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))) != join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))
    | meet(join(X,meet(meet(X_85,Z),Z)),Z) = join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))),join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))) ),[0,1],$fot(Z)]]) ).

cnf(refute_0_792,plain,
    ( meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))) != join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))
    | meet(join(X,meet(meet(X_85,Z),Z)),Z) = join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) ),
    inference(resolve,[$cnf( $equal(join(Z,meet(X,meet(X_85,Z))),Z) )],[refute_0_790,refute_0_791]) ).

cnf(refute_0_793,plain,
    meet(join(X,meet(meet(X_85,Z),Z)),Z) = join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))),join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))) )],[refute_0_789,refute_0_792]) ).

cnf(refute_0_794,plain,
    meet(Z,Z) = Z,
    inference(subst,[],[idempotence_of_meet:[bind(X,$fot(Z))]]) ).

cnf(refute_0_795,plain,
    meet(X_85,meet(Z,Z)) = meet(X_85,meet(Z,Z)),
    introduced(tautology,[refl,[$fot(meet(X_85,meet(Z,Z)))]]) ).

cnf(refute_0_796,plain,
    ( meet(Z,Z) != Z
    | meet(X_85,meet(Z,Z)) != meet(X_85,meet(Z,Z))
    | meet(X_85,meet(Z,Z)) = meet(X_85,Z) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_85,meet(Z,Z)),meet(X_85,meet(Z,Z))) ),[1,1],$fot(Z)]]) ).

cnf(refute_0_797,plain,
    ( meet(Z,Z) != Z
    | meet(X_85,meet(Z,Z)) = meet(X_85,Z) ),
    inference(resolve,[$cnf( $equal(meet(X_85,meet(Z,Z)),meet(X_85,meet(Z,Z))) )],[refute_0_795,refute_0_796]) ).

cnf(refute_0_798,plain,
    meet(X_85,meet(Z,Z)) = meet(X_85,Z),
    inference(resolve,[$cnf( $equal(meet(Z,Z),Z) )],[refute_0_794,refute_0_797]) ).

cnf(refute_0_799,plain,
    meet(meet(X_85,Z),Z) = meet(X_85,meet(Z,Z)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_85)),bind(Y,$fot(Z))]]) ).

cnf(refute_0_800,plain,
    ( meet(X_85,meet(Z,Z)) != meet(X_85,Z)
    | meet(meet(X_85,Z),Z) != meet(X_85,meet(Z,Z))
    | meet(meet(X_85,Z),Z) = meet(X_85,Z) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_85,Z),Z))),bind(Y0,$fot(meet(X_85,meet(Z,Z)))),bind(Z0,$fot(meet(X_85,Z)))]]) ).

cnf(refute_0_801,plain,
    ( meet(X_85,meet(Z,Z)) != meet(X_85,Z)
    | meet(meet(X_85,Z),Z) = meet(X_85,Z) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_85,Z),Z),meet(X_85,meet(Z,Z))) )],[refute_0_799,refute_0_800]) ).

cnf(refute_0_802,plain,
    meet(meet(X_85,Z),Z) = meet(X_85,Z),
    inference(resolve,[$cnf( $equal(meet(X_85,meet(Z,Z)),meet(X_85,Z)) )],[refute_0_798,refute_0_801]) ).

cnf(refute_0_803,plain,
    join(meet(meet(X_85,Z),Z),X) = join(meet(meet(X_85,Z),Z),X),
    introduced(tautology,[refl,[$fot(join(meet(meet(X_85,Z),Z),X))]]) ).

cnf(refute_0_804,plain,
    ( join(meet(meet(X_85,Z),Z),X) != join(meet(meet(X_85,Z),Z),X)
    | meet(meet(X_85,Z),Z) != meet(X_85,Z)
    | join(meet(meet(X_85,Z),Z),X) = join(meet(X_85,Z),X) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_85,Z),Z),X),join(meet(meet(X_85,Z),Z),X)) ),[1,0],$fot(meet(X_85,Z))]]) ).

cnf(refute_0_805,plain,
    ( meet(meet(X_85,Z),Z) != meet(X_85,Z)
    | join(meet(meet(X_85,Z),Z),X) = join(meet(X_85,Z),X) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_85,Z),Z),X),join(meet(meet(X_85,Z),Z),X)) )],[refute_0_803,refute_0_804]) ).

cnf(refute_0_806,plain,
    join(meet(meet(X_85,Z),Z),X) = join(meet(X_85,Z),X),
    inference(resolve,[$cnf( $equal(meet(meet(X_85,Z),Z),meet(X_85,Z)) )],[refute_0_802,refute_0_805]) ).

cnf(refute_0_807,plain,
    meet(Z,join(meet(meet(X_85,Z),Z),X)) = meet(Z,join(meet(meet(X_85,Z),Z),X)),
    introduced(tautology,[refl,[$fot(meet(Z,join(meet(meet(X_85,Z),Z),X)))]]) ).

cnf(refute_0_808,plain,
    ( join(meet(meet(X_85,Z),Z),X) != join(meet(X_85,Z),X)
    | meet(Z,join(meet(meet(X_85,Z),Z),X)) != meet(Z,join(meet(meet(X_85,Z),Z),X))
    | meet(Z,join(meet(meet(X_85,Z),Z),X)) = meet(Z,join(meet(X_85,Z),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(Z,join(meet(meet(X_85,Z),Z),X)),meet(Z,join(meet(meet(X_85,Z),Z),X))) ),[1,1],$fot(join(meet(X_85,Z),X))]]) ).

cnf(refute_0_809,plain,
    ( join(meet(meet(X_85,Z),Z),X) != join(meet(X_85,Z),X)
    | meet(Z,join(meet(meet(X_85,Z),Z),X)) = meet(Z,join(meet(X_85,Z),X)) ),
    inference(resolve,[$cnf( $equal(meet(Z,join(meet(meet(X_85,Z),Z),X)),meet(Z,join(meet(meet(X_85,Z),Z),X))) )],[refute_0_807,refute_0_808]) ).

cnf(refute_0_810,plain,
    meet(Z,join(meet(meet(X_85,Z),Z),X)) = meet(Z,join(meet(X_85,Z),X)),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_85,Z),Z),X),join(meet(X_85,Z),X)) )],[refute_0_806,refute_0_809]) ).

cnf(refute_0_811,plain,
    meet(join(X,meet(meet(X_85,Z),Z)),Z) = meet(Z,join(meet(meet(X_85,Z),Z),X)),
    inference(subst,[],[refute_0_349:[bind(X_16,$fot(Z)),bind(X_63,$fot(X)),bind(X_64,$fot(meet(meet(X_85,Z),Z)))]]) ).

cnf(refute_0_812,plain,
    ( meet(Z,join(meet(meet(X_85,Z),Z),X)) != meet(Z,join(meet(X_85,Z),X))
    | meet(join(X,meet(meet(X_85,Z),Z)),Z) != meet(Z,join(meet(meet(X_85,Z),Z),X))
    | meet(join(X,meet(meet(X_85,Z),Z)),Z) = meet(Z,join(meet(X_85,Z),X)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X,meet(meet(X_85,Z),Z)),Z))),bind(Y0,$fot(meet(Z,join(meet(meet(X_85,Z),Z),X)))),bind(Z0,$fot(meet(Z,join(meet(X_85,Z),X))))]]) ).

cnf(refute_0_813,plain,
    ( meet(Z,join(meet(meet(X_85,Z),Z),X)) != meet(Z,join(meet(X_85,Z),X))
    | meet(join(X,meet(meet(X_85,Z),Z)),Z) = meet(Z,join(meet(X_85,Z),X)) ),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(meet(X_85,Z),Z)),Z),meet(Z,join(meet(meet(X_85,Z),Z),X))) )],[refute_0_811,refute_0_812]) ).

cnf(refute_0_814,plain,
    meet(join(X,meet(meet(X_85,Z),Z)),Z) = meet(Z,join(meet(X_85,Z),X)),
    inference(resolve,[$cnf( $equal(meet(Z,join(meet(meet(X_85,Z),Z),X)),meet(Z,join(meet(X_85,Z),X))) )],[refute_0_810,refute_0_813]) ).

cnf(refute_0_815,plain,
    ( meet(join(X,meet(meet(X_85,Z),Z)),Z) != join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))
    | meet(join(X,meet(meet(X_85,Z),Z)),Z) != meet(Z,join(meet(X_85,Z),X))
    | meet(Z,join(meet(X_85,Z),X)) = join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X,meet(meet(X_85,Z),Z)),Z),join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))) ),[0],$fot(meet(Z,join(meet(X_85,Z),X)))]]) ).

cnf(refute_0_816,plain,
    ( meet(join(X,meet(meet(X_85,Z),Z)),Z) != join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))
    | meet(Z,join(meet(X_85,Z),X)) = join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(meet(X_85,Z),Z)),Z),meet(Z,join(meet(X_85,Z),X))) )],[refute_0_814,refute_0_815]) ).

cnf(refute_0_817,plain,
    meet(join(X,meet(Z,X_85)),Z) = meet(Z,join(meet(Z,X_85),X)),
    inference(subst,[],[refute_0_349:[bind(X_16,$fot(Z)),bind(X_63,$fot(X)),bind(X_64,$fot(meet(Z,X_85)))]]) ).

cnf(refute_0_818,plain,
    meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))),
    introduced(tautology,[refl,[$fot(meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))))]]) ).

cnf(refute_0_819,plain,
    ( join(Z,meet(X,meet(X_85,Z))) != Z
    | meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))) != meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z))))
    | meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,X_85)),Z) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))),meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z))))) ),[1,1],$fot(Z)]]) ).

cnf(refute_0_820,plain,
    ( join(Z,meet(X,meet(X_85,Z))) != Z
    | meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,X_85)),Z) ),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))),meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z))))) )],[refute_0_818,refute_0_819]) ).

cnf(refute_0_821,plain,
    meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,X_85)),Z),
    inference(resolve,[$cnf( $equal(join(Z,meet(X,meet(X_85,Z))),Z) )],[refute_0_790,refute_0_820]) ).

cnf(refute_0_822,plain,
    meet(Z,meet(X_85,Z)) = meet(Z,X_85),
    inference(subst,[],[refute_0_46:[bind(Y,$fot(Z)),bind(X_11,$fot(X_85))]]) ).

cnf(refute_0_823,plain,
    join(X,meet(Z,meet(X_85,Z))) = join(X,meet(Z,meet(X_85,Z))),
    introduced(tautology,[refl,[$fot(join(X,meet(Z,meet(X_85,Z))))]]) ).

cnf(refute_0_824,plain,
    ( join(X,meet(Z,meet(X_85,Z))) != join(X,meet(Z,meet(X_85,Z)))
    | meet(Z,meet(X_85,Z)) != meet(Z,X_85)
    | join(X,meet(Z,meet(X_85,Z))) = join(X,meet(Z,X_85)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,meet(Z,meet(X_85,Z))),join(X,meet(Z,meet(X_85,Z)))) ),[1,1],$fot(meet(Z,X_85))]]) ).

cnf(refute_0_825,plain,
    ( meet(Z,meet(X_85,Z)) != meet(Z,X_85)
    | join(X,meet(Z,meet(X_85,Z))) = join(X,meet(Z,X_85)) ),
    inference(resolve,[$cnf( $equal(join(X,meet(Z,meet(X_85,Z))),join(X,meet(Z,meet(X_85,Z)))) )],[refute_0_823,refute_0_824]) ).

cnf(refute_0_826,plain,
    join(X,meet(Z,meet(X_85,Z))) = join(X,meet(Z,X_85)),
    inference(resolve,[$cnf( $equal(meet(Z,meet(X_85,Z)),meet(Z,X_85)) )],[refute_0_822,refute_0_825]) ).

cnf(refute_0_827,plain,
    meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))),
    introduced(tautology,[refl,[$fot(meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))))]]) ).

cnf(refute_0_828,plain,
    ( join(X,meet(Z,meet(X_85,Z))) != join(X,meet(Z,X_85))
    | meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) != meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z))))
    | meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))),meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z))))) ),[1,0],$fot(join(X,meet(Z,X_85)))]]) ).

cnf(refute_0_829,plain,
    ( join(X,meet(Z,meet(X_85,Z))) != join(X,meet(Z,X_85))
    | meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))),meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z))))) )],[refute_0_827,refute_0_828]) ).

cnf(refute_0_830,plain,
    meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))),
    inference(resolve,[$cnf( $equal(join(X,meet(Z,meet(X_85,Z))),join(X,meet(Z,X_85))) )],[refute_0_826,refute_0_829]) ).

cnf(refute_0_831,plain,
    ( meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))) != meet(join(X,meet(Z,X_85)),Z)
    | meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) != meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z))))
    | meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,X_85)),Z) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))))),bind(Y0,$fot(meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))))),bind(Z0,$fot(meet(join(X,meet(Z,X_85)),Z)))]]) ).

cnf(refute_0_832,plain,
    ( meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))) != meet(join(X,meet(Z,X_85)),Z)
    | meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,X_85)),Z) ),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))),meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z))))) )],[refute_0_830,refute_0_831]) ).

cnf(refute_0_833,plain,
    meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,X_85)),Z),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Z,X_85)),join(Z,meet(X,meet(X_85,Z)))),meet(join(X,meet(Z,X_85)),Z)) )],[refute_0_821,refute_0_832]) ).

cnf(refute_0_834,plain,
    ( meet(join(X,meet(Z,X_85)),Z) != meet(Z,join(meet(Z,X_85),X))
    | meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) != meet(join(X,meet(Z,X_85)),Z)
    | meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) = meet(Z,join(meet(Z,X_85),X)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))))),bind(Y0,$fot(meet(join(X,meet(Z,X_85)),Z))),bind(Z0,$fot(meet(Z,join(meet(Z,X_85),X))))]]) ).

cnf(refute_0_835,plain,
    ( meet(join(X,meet(Z,X_85)),Z) != meet(Z,join(meet(Z,X_85),X))
    | meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) = meet(Z,join(meet(Z,X_85),X)) ),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))),meet(join(X,meet(Z,X_85)),Z)) )],[refute_0_833,refute_0_834]) ).

cnf(refute_0_836,plain,
    meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) = meet(Z,join(meet(Z,X_85),X)),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Z,X_85)),Z),meet(Z,join(meet(Z,X_85),X))) )],[refute_0_817,refute_0_835]) ).

cnf(refute_0_837,plain,
    meet(X_41,X_40) = meet(X_40,X_41),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_41)),bind(Y,$fot(X_40))]]) ).

cnf(refute_0_838,plain,
    ( meet(X_41,X_40) != meet(X_40,X_41)
    | meet(X_40,X_41) = meet(X_41,X_40) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_41,X_40))),bind(Y0,$fot(meet(X_40,X_41)))]]) ).

cnf(refute_0_839,plain,
    meet(X_40,X_41) = meet(X_41,X_40),
    inference(resolve,[$cnf( $equal(meet(X_41,X_40),meet(X_40,X_41)) )],[refute_0_837,refute_0_838]) ).

cnf(refute_0_840,plain,
    ( meet(X_40,X_41) != meet(X_41,X_40)
    | meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))) != join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))
    | meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))) = join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))) ),[0,0,1],$fot(meet(X_41,X_40))]]) ).

cnf(refute_0_841,plain,
    ( meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))) != join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))
    | meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))) = join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))) ),
    inference(resolve,[$cnf( $equal(meet(X_40,X_41),meet(X_41,X_40)) )],[refute_0_839,refute_0_840]) ).

cnf(refute_0_842,plain,
    meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))) = join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))) )],[refute_0_226,refute_0_841]) ).

cnf(refute_0_843,plain,
    ( join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))) != meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))
    | meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))) != join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))
    | meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))) = meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))),join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))) ),[1],$fot(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))))]]) ).

cnf(refute_0_844,plain,
    ( meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))) != join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))
    | meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))) = meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) )],[refute_0_228,refute_0_843]) ).

cnf(refute_0_845,plain,
    meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))) = meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))),join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41))))) )],[refute_0_842,refute_0_844]) ).

cnf(refute_0_846,plain,
    ( meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))) != meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))
    | meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))) = meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))))),bind(Y0,$fot(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))))]]) ).

cnf(refute_0_847,plain,
    meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))) = meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_41,X_40)),join(X_41,meet(X_39,X_40))),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) )],[refute_0_845,refute_0_846]) ).

cnf(refute_0_848,plain,
    meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))) = meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))),
    inference(subst,[],[refute_0_847:[bind(X_39,$fot(X)),bind(X_40,$fot(meet(X_85,Z))),bind(X_41,$fot(Z))]]) ).

cnf(refute_0_849,plain,
    ( meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) != join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z))))
    | join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z)))) = meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))))),bind(Y0,$fot(join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z))))))]]) ).

cnf(refute_0_850,plain,
    join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z)))) = meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))),join(meet(X,join(Y,Z)),meet(Z,join(X,meet(Y,Z))))) )],[refute_0_58,refute_0_849]) ).

cnf(refute_0_851,plain,
    join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) = meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))),
    inference(subst,[],[refute_0_850:[bind(Y,$fot(meet(X_85,Z)))]]) ).

cnf(refute_0_852,plain,
    ( join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) != meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z))))
    | meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))) != meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z))))
    | join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) = meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))))),bind(Y0,$fot(meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))))),bind(Z0,$fot(meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z))))))]]) ).

cnf(refute_0_853,plain,
    ( meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))) != meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z))))
    | join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) = meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))),meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z))))) )],[refute_0_851,refute_0_852]) ).

cnf(refute_0_854,plain,
    join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) = meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(meet(X_85,Z),Z)),join(Z,meet(X,meet(X_85,Z)))),meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z))))) )],[refute_0_848,refute_0_853]) ).

cnf(refute_0_855,plain,
    ( join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) != meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z))))
    | meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) != meet(Z,join(meet(Z,X_85),X))
    | join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) = meet(Z,join(meet(Z,X_85),X)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))))),bind(Y0,$fot(meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))))),bind(Z0,$fot(meet(Z,join(meet(Z,X_85),X))))]]) ).

cnf(refute_0_856,plain,
    ( meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))) != meet(Z,join(meet(Z,X_85),X))
    | join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) = meet(Z,join(meet(Z,X_85),X)) ),
    inference(resolve,[$cnf( $equal(join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))),meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z))))) )],[refute_0_854,refute_0_855]) ).

cnf(refute_0_857,plain,
    join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) = meet(Z,join(meet(Z,X_85),X)),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Z,meet(X_85,Z))),join(Z,meet(X,meet(X_85,Z)))),meet(Z,join(meet(Z,X_85),X))) )],[refute_0_836,refute_0_856]) ).

cnf(refute_0_858,plain,
    ( join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))) != meet(Z,join(meet(Z,X_85),X))
    | meet(Z,join(meet(X_85,Z),X)) != join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))
    | meet(Z,join(meet(X_85,Z),X)) = meet(Z,join(meet(Z,X_85),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(Z,join(meet(X_85,Z),X)),join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))) ),[1],$fot(meet(Z,join(meet(Z,X_85),X)))]]) ).

cnf(refute_0_859,plain,
    ( meet(Z,join(meet(X_85,Z),X)) != join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))
    | meet(Z,join(meet(X_85,Z),X)) = meet(Z,join(meet(Z,X_85),X)) ),
    inference(resolve,[$cnf( $equal(join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z)))),meet(Z,join(meet(Z,X_85),X))) )],[refute_0_857,refute_0_858]) ).

cnf(refute_0_860,plain,
    ( meet(join(X,meet(meet(X_85,Z),Z)),Z) != join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))
    | meet(Z,join(meet(X_85,Z),X)) = meet(Z,join(meet(Z,X_85),X)) ),
    inference(resolve,[$cnf( $equal(meet(Z,join(meet(X_85,Z),X)),join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))) )],[refute_0_816,refute_0_859]) ).

cnf(refute_0_861,plain,
    meet(Z,join(meet(X_85,Z),X)) = meet(Z,join(meet(Z,X_85),X)),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(meet(X_85,Z),Z)),Z),join(meet(X,join(meet(X_85,Z),Z)),meet(Z,join(X,meet(meet(X_85,Z),Z))))) )],[refute_0_793,refute_0_860]) ).

cnf(refute_0_862,plain,
    meet(Z,join(meet(X_85,Z),X)) = meet(Z,join(X_85,X)),
    inference(subst,[],[refute_0_775:[bind(X_16,$fot(Z)),bind(X_180,$fot(X_85)),bind(X_181,$fot(X))]]) ).

cnf(refute_0_863,plain,
    ( meet(Z,join(meet(X_85,Z),X)) != meet(Z,join(X_85,X))
    | meet(Z,join(meet(X_85,Z),X)) != meet(Z,join(meet(Z,X_85),X))
    | meet(Z,join(X_85,X)) = meet(Z,join(meet(Z,X_85),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(Z,join(meet(X_85,Z),X)),meet(Z,join(meet(Z,X_85),X))) ),[0],$fot(meet(Z,join(X_85,X)))]]) ).

cnf(refute_0_864,plain,
    ( meet(Z,join(meet(X_85,Z),X)) != meet(Z,join(meet(Z,X_85),X))
    | meet(Z,join(X_85,X)) = meet(Z,join(meet(Z,X_85),X)) ),
    inference(resolve,[$cnf( $equal(meet(Z,join(meet(X_85,Z),X)),meet(Z,join(X_85,X))) )],[refute_0_862,refute_0_863]) ).

cnf(refute_0_865,plain,
    join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110)))) = meet(X_109,join(meet(X_109,X_11),X_110)),
    inference(subst,[],[refute_0_86:[bind(X_10,$fot(meet(X_109,join(meet(X_109,X_11),X_110))))]]) ).

cnf(refute_0_866,plain,
    join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))) = meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),
    inference(subst,[],[refute_0_91:[bind(X_15,$fot(meet(X_70,join(X_68,meet(X_11,X_70)))))]]) ).

cnf(refute_0_867,plain,
    meet(meet(X_16,X_17),join(Y,meet(X_16,X_17))) = meet(X_16,X_17),
    inference(subst,[],[refute_0_37:[bind(X,$fot(meet(X_16,X_17)))]]) ).

cnf(refute_0_868,plain,
    meet(meet(X_16,X_17),join(Y,meet(X_16,X_17))) = meet(X_16,meet(X_17,join(Y,meet(X_16,X_17)))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(join(Y,meet(X_16,X_17))))]]) ).

cnf(refute_0_869,plain,
    ( meet(meet(X_16,X_17),join(Y,meet(X_16,X_17))) != meet(X_16,X_17)
    | meet(meet(X_16,X_17),join(Y,meet(X_16,X_17))) != meet(X_16,meet(X_17,join(Y,meet(X_16,X_17))))
    | meet(X_16,meet(X_17,join(Y,meet(X_16,X_17)))) = meet(X_16,X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,X_17),join(Y,meet(X_16,X_17))),meet(X_16,X_17)) ),[0],$fot(meet(X_16,meet(X_17,join(Y,meet(X_16,X_17)))))]]) ).

cnf(refute_0_870,plain,
    ( meet(meet(X_16,X_17),join(Y,meet(X_16,X_17))) != meet(X_16,X_17)
    | meet(X_16,meet(X_17,join(Y,meet(X_16,X_17)))) = meet(X_16,X_17) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),join(Y,meet(X_16,X_17))),meet(X_16,meet(X_17,join(Y,meet(X_16,X_17))))) )],[refute_0_868,refute_0_869]) ).

cnf(refute_0_871,plain,
    meet(X_16,meet(X_17,join(Y,meet(X_16,X_17)))) = meet(X_16,X_17),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,X_17),join(Y,meet(X_16,X_17))),meet(X_16,X_17)) )],[refute_0_867,refute_0_870]) ).

cnf(refute_0_872,plain,
    meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70)))) = meet(X_11,X_70),
    inference(subst,[],[refute_0_871:[bind(Y,$fot(X_68)),bind(X_16,$fot(X_11)),bind(X_17,$fot(X_70))]]) ).

cnf(refute_0_873,plain,
    ( join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))) != meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)
    | meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70)))) != meet(X_11,X_70)
    | join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) = meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) ),[0,1],$fot(meet(X_11,X_70))]]) ).

cnf(refute_0_874,plain,
    ( join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))) != meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)
    | join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) = meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70)))),meet(X_11,X_70)) )],[refute_0_872,refute_0_873]) ).

cnf(refute_0_875,plain,
    join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) = meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) )],[refute_0_866,refute_0_874]) ).

cnf(refute_0_876,plain,
    join(meet(X_11,X_70),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))) = meet(X_11,X_70),
    inference(subst,[],[refute_0_700:[bind(Y,$fot(join(X_68,meet(X_11,X_70)))),bind(X_16,$fot(X_11)),bind(X_17,$fot(X_70))]]) ).

cnf(refute_0_877,plain,
    join(join(X_25,join(X_26,X_11)),meet(X_11,join(X_25,join(X_26,X_11)))) = join(X_25,join(X_26,X_11)),
    inference(subst,[],[refute_0_86:[bind(X_10,$fot(join(X_25,join(X_26,X_11))))]]) ).

cnf(refute_0_878,plain,
    meet(X_11,join(X_25,join(X_26,X_11))) = X_11,
    inference(subst,[],[refute_0_78:[bind(X,$fot(X_11)),bind(X_19,$fot(X_25)),bind(X_20,$fot(X_26))]]) ).

cnf(refute_0_879,plain,
    ( join(join(X_25,join(X_26,X_11)),meet(X_11,join(X_25,join(X_26,X_11)))) != join(X_25,join(X_26,X_11))
    | meet(X_11,join(X_25,join(X_26,X_11))) != X_11
    | join(join(X_25,join(X_26,X_11)),X_11) = join(X_25,join(X_26,X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,join(X_26,X_11)),meet(X_11,join(X_25,join(X_26,X_11)))),join(X_25,join(X_26,X_11))) ),[0,1],$fot(X_11)]]) ).

cnf(refute_0_880,plain,
    ( join(join(X_25,join(X_26,X_11)),meet(X_11,join(X_25,join(X_26,X_11)))) != join(X_25,join(X_26,X_11))
    | join(join(X_25,join(X_26,X_11)),X_11) = join(X_25,join(X_26,X_11)) ),
    inference(resolve,[$cnf( $equal(meet(X_11,join(X_25,join(X_26,X_11))),X_11) )],[refute_0_878,refute_0_879]) ).

cnf(refute_0_881,plain,
    join(join(X_25,join(X_26,X_11)),X_11) = join(X_25,join(X_26,X_11)),
    inference(resolve,[$cnf( $equal(join(join(X_25,join(X_26,X_11)),meet(X_11,join(X_25,join(X_26,X_11)))),join(X_25,join(X_26,X_11))) )],[refute_0_877,refute_0_880]) ).

cnf(refute_0_882,plain,
    join(X_11,join(X_26,X_11)) = join(X_11,X_26),
    inference(subst,[],[refute_0_323:[bind(Y,$fot(X_26)),bind(X_13,$fot(X_11))]]) ).

cnf(refute_0_883,plain,
    join(X_25,join(X_11,join(X_26,X_11))) = join(X_25,join(X_11,join(X_26,X_11))),
    introduced(tautology,[refl,[$fot(join(X_25,join(X_11,join(X_26,X_11))))]]) ).

cnf(refute_0_884,plain,
    ( join(X_11,join(X_26,X_11)) != join(X_11,X_26)
    | join(X_25,join(X_11,join(X_26,X_11))) != join(X_25,join(X_11,join(X_26,X_11)))
    | join(X_25,join(X_11,join(X_26,X_11))) = join(X_25,join(X_11,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(X_11,join(X_26,X_11))),join(X_25,join(X_11,join(X_26,X_11)))) ),[1,1],$fot(join(X_11,X_26))]]) ).

cnf(refute_0_885,plain,
    ( join(X_11,join(X_26,X_11)) != join(X_11,X_26)
    | join(X_25,join(X_11,join(X_26,X_11))) = join(X_25,join(X_11,X_26)) ),
    inference(resolve,[$cnf( $equal(join(X_25,join(X_11,join(X_26,X_11))),join(X_25,join(X_11,join(X_26,X_11)))) )],[refute_0_883,refute_0_884]) ).

cnf(refute_0_886,plain,
    join(X_25,join(X_11,join(X_26,X_11))) = join(X_25,join(X_11,X_26)),
    inference(resolve,[$cnf( $equal(join(X_11,join(X_26,X_11)),join(X_11,X_26)) )],[refute_0_882,refute_0_885]) ).

cnf(refute_0_887,plain,
    join(X_21,X_20) = join(X_20,X_21),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_21)),bind(Y,$fot(X_20))]]) ).

cnf(refute_0_888,plain,
    ( join(X_21,X_20) != join(X_20,X_21)
    | join(X_20,X_21) = join(X_21,X_20) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_21,X_20))),bind(Y0,$fot(join(X_20,X_21)))]]) ).

cnf(refute_0_889,plain,
    join(X_20,X_21) = join(X_21,X_20),
    inference(resolve,[$cnf( $equal(join(X_21,X_20),join(X_20,X_21)) )],[refute_0_887,refute_0_888]) ).

cnf(refute_0_890,plain,
    ( join(X_20,X_21) != join(X_21,X_20)
    | join(join(X_19,X_20),X_21) != join(X_19,join(X_20,X_21))
    | join(join(X_19,X_20),X_21) = join(X_19,join(X_21,X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_19,X_20),X_21),join(X_19,join(X_20,X_21))) ),[1,1],$fot(join(X_21,X_20))]]) ).

cnf(refute_0_891,plain,
    ( join(join(X_19,X_20),X_21) != join(X_19,join(X_20,X_21))
    | join(join(X_19,X_20),X_21) = join(X_19,join(X_21,X_20)) ),
    inference(resolve,[$cnf( $equal(join(X_20,X_21),join(X_21,X_20)) )],[refute_0_889,refute_0_890]) ).

cnf(refute_0_892,plain,
    join(join(X_19,X_20),X_21) = join(X_19,join(X_21,X_20)),
    inference(resolve,[$cnf( $equal(join(join(X_19,X_20),X_21),join(X_19,join(X_20,X_21))) )],[refute_0_359,refute_0_891]) ).

cnf(refute_0_893,plain,
    ( join(join(X_19,X_20),X_21) != join(X_19,join(X_20,X_21))
    | join(join(X_19,X_20),X_21) != join(X_19,join(X_21,X_20))
    | join(X_19,join(X_20,X_21)) = join(X_19,join(X_21,X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_19,X_20),X_21),join(X_19,join(X_21,X_20))) ),[0],$fot(join(X_19,join(X_20,X_21)))]]) ).

cnf(refute_0_894,plain,
    ( join(join(X_19,X_20),X_21) != join(X_19,join(X_21,X_20))
    | join(X_19,join(X_20,X_21)) = join(X_19,join(X_21,X_20)) ),
    inference(resolve,[$cnf( $equal(join(join(X_19,X_20),X_21),join(X_19,join(X_20,X_21))) )],[refute_0_359,refute_0_893]) ).

cnf(refute_0_895,plain,
    join(X_19,join(X_20,X_21)) = join(X_19,join(X_21,X_20)),
    inference(resolve,[$cnf( $equal(join(join(X_19,X_20),X_21),join(X_19,join(X_21,X_20))) )],[refute_0_892,refute_0_894]) ).

cnf(refute_0_896,plain,
    ( join(X_19,join(X_20,X_21)) != join(X_19,join(X_21,X_20))
    | join(X_19,join(X_21,X_20)) = join(X_19,join(X_20,X_21)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_19,join(X_20,X_21)))),bind(Y0,$fot(join(X_19,join(X_21,X_20))))]]) ).

cnf(refute_0_897,plain,
    join(X_19,join(X_21,X_20)) = join(X_19,join(X_20,X_21)),
    inference(resolve,[$cnf( $equal(join(X_19,join(X_20,X_21)),join(X_19,join(X_21,X_20))) )],[refute_0_895,refute_0_896]) ).

cnf(refute_0_898,plain,
    join(X_25,join(join(X_26,X_11),X_11)) = join(X_25,join(X_11,join(X_26,X_11))),
    inference(subst,[],[refute_0_897:[bind(X_19,$fot(X_25)),bind(X_20,$fot(X_11)),bind(X_21,$fot(join(X_26,X_11)))]]) ).

cnf(refute_0_899,plain,
    join(join(X_25,join(X_26,X_11)),X_11) = join(X_25,join(join(X_26,X_11),X_11)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_25)),bind(Y,$fot(join(X_26,X_11))),bind(Z,$fot(X_11))]]) ).

cnf(refute_0_900,plain,
    ( join(X_25,join(join(X_26,X_11),X_11)) != join(X_25,join(X_11,join(X_26,X_11)))
    | join(join(X_25,join(X_26,X_11)),X_11) != join(X_25,join(join(X_26,X_11),X_11))
    | join(join(X_25,join(X_26,X_11)),X_11) = join(X_25,join(X_11,join(X_26,X_11))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(join(X_25,join(X_26,X_11)),X_11))),bind(Y0,$fot(join(X_25,join(join(X_26,X_11),X_11)))),bind(Z0,$fot(join(X_25,join(X_11,join(X_26,X_11)))))]]) ).

cnf(refute_0_901,plain,
    ( join(X_25,join(join(X_26,X_11),X_11)) != join(X_25,join(X_11,join(X_26,X_11)))
    | join(join(X_25,join(X_26,X_11)),X_11) = join(X_25,join(X_11,join(X_26,X_11))) ),
    inference(resolve,[$cnf( $equal(join(join(X_25,join(X_26,X_11)),X_11),join(X_25,join(join(X_26,X_11),X_11))) )],[refute_0_899,refute_0_900]) ).

cnf(refute_0_902,plain,
    join(join(X_25,join(X_26,X_11)),X_11) = join(X_25,join(X_11,join(X_26,X_11))),
    inference(resolve,[$cnf( $equal(join(X_25,join(join(X_26,X_11),X_11)),join(X_25,join(X_11,join(X_26,X_11)))) )],[refute_0_898,refute_0_901]) ).

cnf(refute_0_903,plain,
    ( join(X_25,join(X_11,join(X_26,X_11))) != join(X_25,join(X_11,X_26))
    | join(join(X_25,join(X_26,X_11)),X_11) != join(X_25,join(X_11,join(X_26,X_11)))
    | join(join(X_25,join(X_26,X_11)),X_11) = join(X_25,join(X_11,X_26)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(join(X_25,join(X_26,X_11)),X_11))),bind(Y0,$fot(join(X_25,join(X_11,join(X_26,X_11))))),bind(Z0,$fot(join(X_25,join(X_11,X_26))))]]) ).

cnf(refute_0_904,plain,
    ( join(X_25,join(X_11,join(X_26,X_11))) != join(X_25,join(X_11,X_26))
    | join(join(X_25,join(X_26,X_11)),X_11) = join(X_25,join(X_11,X_26)) ),
    inference(resolve,[$cnf( $equal(join(join(X_25,join(X_26,X_11)),X_11),join(X_25,join(X_11,join(X_26,X_11)))) )],[refute_0_902,refute_0_903]) ).

cnf(refute_0_905,plain,
    join(join(X_25,join(X_26,X_11)),X_11) = join(X_25,join(X_11,X_26)),
    inference(resolve,[$cnf( $equal(join(X_25,join(X_11,join(X_26,X_11))),join(X_25,join(X_11,X_26))) )],[refute_0_886,refute_0_904]) ).

cnf(refute_0_906,plain,
    ( join(join(X_25,join(X_26,X_11)),X_11) != join(X_25,join(X_11,X_26))
    | join(join(X_25,join(X_26,X_11)),X_11) != join(X_25,join(X_26,X_11))
    | join(X_25,join(X_11,X_26)) = join(X_25,join(X_26,X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,join(X_26,X_11)),X_11),join(X_25,join(X_26,X_11))) ),[0],$fot(join(X_25,join(X_11,X_26)))]]) ).

cnf(refute_0_907,plain,
    ( join(join(X_25,join(X_26,X_11)),X_11) != join(X_25,join(X_26,X_11))
    | join(X_25,join(X_11,X_26)) = join(X_25,join(X_26,X_11)) ),
    inference(resolve,[$cnf( $equal(join(join(X_25,join(X_26,X_11)),X_11),join(X_25,join(X_11,X_26))) )],[refute_0_905,refute_0_906]) ).

cnf(refute_0_908,plain,
    join(X_25,join(X_11,X_26)) = join(X_25,join(X_26,X_11)),
    inference(resolve,[$cnf( $equal(join(join(X_25,join(X_26,X_11)),X_11),join(X_25,join(X_26,X_11))) )],[refute_0_881,refute_0_907]) ).

cnf(refute_0_909,plain,
    join(X_58,join(meet(X_15,X_11),meet(X_11,X_15))) = join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))),
    inference(subst,[],[refute_0_908:[bind(X_11,$fot(meet(X_15,X_11))),bind(X_25,$fot(X_58)),bind(X_26,$fot(meet(X_11,X_15)))]]) ).

cnf(refute_0_910,plain,
    ( join(X_58,join(meet(X_15,X_11),meet(X_11,X_15))) != join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))
    | join(meet(X_15,X_11),meet(X_11,X_15)) != meet(X_15,X_11)
    | join(X_58,meet(X_15,X_11)) = join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_58,join(meet(X_15,X_11),meet(X_11,X_15))),join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))) ),[0,1],$fot(meet(X_15,X_11))]]) ).

cnf(refute_0_911,plain,
    ( join(X_58,join(meet(X_15,X_11),meet(X_11,X_15))) != join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))
    | join(X_58,meet(X_15,X_11)) = join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_11),meet(X_11,X_15)),meet(X_15,X_11)) )],[refute_0_91,refute_0_910]) ).

cnf(refute_0_912,plain,
    join(X_58,meet(X_15,X_11)) = join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))),
    inference(resolve,[$cnf( $equal(join(X_58,join(meet(X_15,X_11),meet(X_11,X_15))),join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))) )],[refute_0_909,refute_0_911]) ).

cnf(refute_0_913,plain,
    join(meet(X_11,X_15),meet(X_15,X_11)) = meet(X_11,X_15),
    inference(subst,[],[refute_0_91:[bind(X_11,$fot(X_15)),bind(X_15,$fot(X_11))]]) ).

cnf(refute_0_914,plain,
    join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))) = join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))),
    introduced(tautology,[refl,[$fot(join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))))]]) ).

cnf(refute_0_915,plain,
    ( join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))) != join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))
    | join(meet(X_11,X_15),meet(X_15,X_11)) != meet(X_11,X_15)
    | join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))) = join(X_58,meet(X_11,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))),join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))) ),[1,1],$fot(meet(X_11,X_15))]]) ).

cnf(refute_0_916,plain,
    ( join(meet(X_11,X_15),meet(X_15,X_11)) != meet(X_11,X_15)
    | join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))) = join(X_58,meet(X_11,X_15)) ),
    inference(resolve,[$cnf( $equal(join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))),join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))) )],[refute_0_914,refute_0_915]) ).

cnf(refute_0_917,plain,
    join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))) = join(X_58,meet(X_11,X_15)),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_15),meet(X_15,X_11)),meet(X_11,X_15)) )],[refute_0_913,refute_0_916]) ).

cnf(refute_0_918,plain,
    ( join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))) != join(X_58,meet(X_11,X_15))
    | join(X_58,meet(X_15,X_11)) != join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))
    | join(X_58,meet(X_15,X_11)) = join(X_58,meet(X_11,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_58,meet(X_15,X_11)),join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))) ),[1],$fot(join(X_58,meet(X_11,X_15)))]]) ).

cnf(refute_0_919,plain,
    ( join(X_58,meet(X_15,X_11)) != join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))
    | join(X_58,meet(X_15,X_11)) = join(X_58,meet(X_11,X_15)) ),
    inference(resolve,[$cnf( $equal(join(X_58,join(meet(X_11,X_15),meet(X_15,X_11))),join(X_58,meet(X_11,X_15))) )],[refute_0_917,refute_0_918]) ).

cnf(refute_0_920,plain,
    join(X_58,meet(X_15,X_11)) = join(X_58,meet(X_11,X_15)),
    inference(resolve,[$cnf( $equal(join(X_58,meet(X_15,X_11)),join(X_58,join(meet(X_11,X_15),meet(X_15,X_11)))) )],[refute_0_912,refute_0_919]) ).

cnf(refute_0_921,plain,
    ( join(X_58,meet(X_15,X_11)) != join(X_58,meet(X_11,X_15))
    | join(X_58,meet(X_11,X_15)) = join(X_58,meet(X_15,X_11)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_58,meet(X_15,X_11)))),bind(Y0,$fot(join(X_58,meet(X_11,X_15))))]]) ).

cnf(refute_0_922,plain,
    join(X_58,meet(X_11,X_15)) = join(X_58,meet(X_15,X_11)),
    inference(resolve,[$cnf( $equal(join(X_58,meet(X_15,X_11)),join(X_58,meet(X_11,X_15))) )],[refute_0_920,refute_0_921]) ).

cnf(refute_0_923,plain,
    join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) = join(meet(X_11,X_70),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))),
    inference(subst,[],[refute_0_922:[bind(X_11,$fot(meet(X_70,join(X_68,meet(X_11,X_70))))),bind(X_15,$fot(X_11)),bind(X_58,$fot(meet(X_11,X_70)))]]) ).

cnf(refute_0_924,plain,
    ( join(meet(X_11,X_70),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))) != meet(X_11,X_70)
    | join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) != join(meet(X_11,X_70),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70)))))
    | join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) = meet(X_11,X_70) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)))),bind(Y0,$fot(join(meet(X_11,X_70),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))))),bind(Z0,$fot(meet(X_11,X_70)))]]) ).

cnf(refute_0_925,plain,
    ( join(meet(X_11,X_70),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))) != meet(X_11,X_70)
    | join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) = meet(X_11,X_70) ),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)),join(meet(X_11,X_70),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70)))))) )],[refute_0_923,refute_0_924]) ).

cnf(refute_0_926,plain,
    join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) = meet(X_11,X_70),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_70),meet(X_11,meet(X_70,join(X_68,meet(X_11,X_70))))),meet(X_11,X_70)) )],[refute_0_876,refute_0_925]) ).

cnf(refute_0_927,plain,
    join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) = join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)),
    inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_11,X_70))),bind(Y,$fot(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)))]]) ).

cnf(refute_0_928,plain,
    ( join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) != meet(X_11,X_70)
    | join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) != join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11))
    | join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) = meet(X_11,X_70) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)))),bind(Y0,$fot(join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)))),bind(Z0,$fot(meet(X_11,X_70)))]]) ).

cnf(refute_0_929,plain,
    ( join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) != meet(X_11,X_70)
    | join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) = meet(X_11,X_70) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)),join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11))) )],[refute_0_927,refute_0_928]) ).

cnf(refute_0_930,plain,
    join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) = meet(X_11,X_70),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)),meet(X_11,X_70)) )],[refute_0_926,refute_0_929]) ).

cnf(refute_0_931,plain,
    ( join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) != meet(X_11,X_70)
    | join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) != meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)
    | meet(X_11,X_70) = meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) ),[0],$fot(meet(X_11,X_70))]]) ).

cnf(refute_0_932,plain,
    ( join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) != meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)
    | meet(X_11,X_70) = meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11) ),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)),meet(X_11,X_70)) )],[refute_0_930,refute_0_931]) ).

cnf(refute_0_933,plain,
    meet(X_17,meet(join(X_66,X_67),X_18)) = meet(join(X_66,X_67),meet(X_17,X_18)),
    inference(subst,[],[refute_0_259:[bind(X_16,$fot(join(X_66,X_67)))]]) ).

cnf(refute_0_934,plain,
    meet(join(X_66,X_67),meet(X_17,X_18)) = meet(meet(X_17,X_18),join(X_67,X_66)),
    inference(subst,[],[refute_0_349:[bind(X_16,$fot(meet(X_17,X_18))),bind(X_63,$fot(X_66)),bind(X_64,$fot(X_67))]]) ).

cnf(refute_0_935,plain,
    ( meet(X_17,meet(join(X_66,X_67),X_18)) != meet(join(X_66,X_67),meet(X_17,X_18))
    | meet(join(X_66,X_67),meet(X_17,X_18)) != meet(meet(X_17,X_18),join(X_67,X_66))
    | meet(X_17,meet(join(X_66,X_67),X_18)) = meet(meet(X_17,X_18),join(X_67,X_66)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_17,meet(join(X_66,X_67),X_18)),meet(meet(X_17,X_18),join(X_67,X_66))) ),[0],$fot(meet(join(X_66,X_67),meet(X_17,X_18)))]]) ).

cnf(refute_0_936,plain,
    ( meet(X_17,meet(join(X_66,X_67),X_18)) != meet(join(X_66,X_67),meet(X_17,X_18))
    | meet(X_17,meet(join(X_66,X_67),X_18)) = meet(meet(X_17,X_18),join(X_67,X_66)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_66,X_67),meet(X_17,X_18)),meet(meet(X_17,X_18),join(X_67,X_66))) )],[refute_0_934,refute_0_935]) ).

cnf(refute_0_937,plain,
    meet(X_17,meet(join(X_66,X_67),X_18)) = meet(meet(X_17,X_18),join(X_67,X_66)),
    inference(resolve,[$cnf( $equal(meet(X_17,meet(join(X_66,X_67),X_18)),meet(join(X_66,X_67),meet(X_17,X_18))) )],[refute_0_933,refute_0_936]) ).

cnf(refute_0_938,plain,
    meet(meet(X_17,X_18),join(X_67,X_66)) = meet(X_17,meet(X_18,join(X_67,X_66))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_17)),bind(Y,$fot(X_18)),bind(Z,$fot(join(X_67,X_66)))]]) ).

cnf(refute_0_939,plain,
    ( meet(X_17,meet(join(X_66,X_67),X_18)) != meet(meet(X_17,X_18),join(X_67,X_66))
    | meet(meet(X_17,X_18),join(X_67,X_66)) != meet(X_17,meet(X_18,join(X_67,X_66)))
    | meet(X_17,meet(join(X_66,X_67),X_18)) = meet(X_17,meet(X_18,join(X_67,X_66))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_17,meet(join(X_66,X_67),X_18)),meet(X_17,meet(X_18,join(X_67,X_66)))) ),[0],$fot(meet(meet(X_17,X_18),join(X_67,X_66)))]]) ).

cnf(refute_0_940,plain,
    ( meet(X_17,meet(join(X_66,X_67),X_18)) != meet(meet(X_17,X_18),join(X_67,X_66))
    | meet(X_17,meet(join(X_66,X_67),X_18)) = meet(X_17,meet(X_18,join(X_67,X_66))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_17,X_18),join(X_67,X_66)),meet(X_17,meet(X_18,join(X_67,X_66)))) )],[refute_0_938,refute_0_939]) ).

cnf(refute_0_941,plain,
    meet(X_17,meet(join(X_66,X_67),X_18)) = meet(X_17,meet(X_18,join(X_67,X_66))),
    inference(resolve,[$cnf( $equal(meet(X_17,meet(join(X_66,X_67),X_18)),meet(meet(X_17,X_18),join(X_67,X_66))) )],[refute_0_937,refute_0_940]) ).

cnf(refute_0_942,plain,
    meet(X_70,meet(join(X_68,meet(X_11,X_70)),X_11)) = meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68))),
    inference(subst,[],[refute_0_941:[bind(X_17,$fot(X_70)),bind(X_18,$fot(X_11)),bind(X_66,$fot(X_68)),bind(X_67,$fot(meet(X_11,X_70)))]]) ).

cnf(refute_0_943,plain,
    meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11) = meet(X_70,meet(join(X_68,meet(X_11,X_70)),X_11)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_70)),bind(Y,$fot(join(X_68,meet(X_11,X_70)))),bind(Z,$fot(X_11))]]) ).

cnf(refute_0_944,plain,
    ( meet(X_70,meet(join(X_68,meet(X_11,X_70)),X_11)) != meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68)))
    | meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11) != meet(X_70,meet(join(X_68,meet(X_11,X_70)),X_11))
    | meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11) = meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11))),bind(Y0,$fot(meet(X_70,meet(join(X_68,meet(X_11,X_70)),X_11)))),bind(Z0,$fot(meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68)))))]]) ).

cnf(refute_0_945,plain,
    ( meet(X_70,meet(join(X_68,meet(X_11,X_70)),X_11)) != meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68)))
    | meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11) = meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_70,meet(join(X_68,meet(X_11,X_70)),X_11))) )],[refute_0_943,refute_0_944]) ).

cnf(refute_0_946,plain,
    meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11) = meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68))),
    inference(resolve,[$cnf( $equal(meet(X_70,meet(join(X_68,meet(X_11,X_70)),X_11)),meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68)))) )],[refute_0_942,refute_0_945]) ).

cnf(refute_0_947,plain,
    ( meet(X_11,X_70) != meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)
    | meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11) != meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68)))
    | meet(X_11,X_70) = meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_11,X_70),meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68)))) ),[0],$fot(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11))]]) ).

cnf(refute_0_948,plain,
    ( meet(X_11,X_70) != meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)
    | meet(X_11,X_70) = meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68)))) )],[refute_0_946,refute_0_947]) ).

cnf(refute_0_949,plain,
    ( join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)) != meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)
    | meet(X_11,X_70) = meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68))) ),
    inference(resolve,[$cnf( $equal(meet(X_11,X_70),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) )],[refute_0_932,refute_0_948]) ).

cnf(refute_0_950,plain,
    meet(X_11,X_70) = meet(X_70,meet(X_11,join(meet(X_11,X_70),X_68))),
    inference(resolve,[$cnf( $equal(join(meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11),meet(X_11,X_70)),meet(meet(X_70,join(X_68,meet(X_11,X_70))),X_11)) )],[refute_0_875,refute_0_949]) ).

cnf(refute_0_951,plain,
    meet(X_109,X_11) = meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),
    inference(subst,[],[refute_0_950:[bind(X_11,$fot(X_109)),bind(X_68,$fot(X_110)),bind(X_70,$fot(X_11))]]) ).

cnf(refute_0_952,plain,
    ( meet(X_109,X_11) != meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110)))
    | meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) = meet(X_109,X_11) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_109,X_11))),bind(Y0,$fot(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110)))))]]) ).

cnf(refute_0_953,plain,
    meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) = meet(X_109,X_11),
    inference(resolve,[$cnf( $equal(meet(X_109,X_11),meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110)))) )],[refute_0_951,refute_0_952]) ).

cnf(refute_0_954,plain,
    ( join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110)))) != meet(X_109,join(meet(X_109,X_11),X_110))
    | meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) != meet(X_109,X_11)
    | join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_109,X_11)) = meet(X_109,join(meet(X_109,X_11),X_110)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110)))),meet(X_109,join(meet(X_109,X_11),X_110))) ),[0,1],$fot(meet(X_109,X_11))]]) ).

cnf(refute_0_955,plain,
    ( join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110)))) != meet(X_109,join(meet(X_109,X_11),X_110))
    | join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_109,X_11)) = meet(X_109,join(meet(X_109,X_11),X_110)) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),meet(X_109,X_11)) )],[refute_0_953,refute_0_954]) ).

cnf(refute_0_956,plain,
    join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_109,X_11)) = meet(X_109,join(meet(X_109,X_11),X_110)),
    inference(resolve,[$cnf( $equal(join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110)))),meet(X_109,join(meet(X_109,X_11),X_110))) )],[refute_0_865,refute_0_955]) ).

cnf(refute_0_957,plain,
    join(X_78,join(meet(X_15,X_11),meet(X_11,X_15))) = join(meet(X_11,X_15),join(meet(X_15,X_11),X_78)),
    inference(subst,[],[refute_0_549:[bind(X_19,$fot(meet(X_15,X_11))),bind(X_20,$fot(X_78)),bind(X_21,$fot(meet(X_11,X_15)))]]) ).

cnf(refute_0_958,plain,
    ( join(X_78,join(meet(X_15,X_11),meet(X_11,X_15))) != join(meet(X_11,X_15),join(meet(X_15,X_11),X_78))
    | join(meet(X_15,X_11),meet(X_11,X_15)) != meet(X_15,X_11)
    | join(X_78,meet(X_15,X_11)) = join(meet(X_11,X_15),join(meet(X_15,X_11),X_78)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_78,join(meet(X_15,X_11),meet(X_11,X_15))),join(meet(X_11,X_15),join(meet(X_15,X_11),X_78))) ),[0,1],$fot(meet(X_15,X_11))]]) ).

cnf(refute_0_959,plain,
    ( join(X_78,join(meet(X_15,X_11),meet(X_11,X_15))) != join(meet(X_11,X_15),join(meet(X_15,X_11),X_78))
    | join(X_78,meet(X_15,X_11)) = join(meet(X_11,X_15),join(meet(X_15,X_11),X_78)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_11),meet(X_11,X_15)),meet(X_15,X_11)) )],[refute_0_91,refute_0_958]) ).

cnf(refute_0_960,plain,
    join(X_78,meet(X_15,X_11)) = join(meet(X_11,X_15),join(meet(X_15,X_11),X_78)),
    inference(resolve,[$cnf( $equal(join(X_78,join(meet(X_15,X_11),meet(X_11,X_15))),join(meet(X_11,X_15),join(meet(X_15,X_11),X_78))) )],[refute_0_957,refute_0_959]) ).

cnf(refute_0_961,plain,
    join(meet(X_11,X_15),join(meet(X_15,X_11),X_78)) = join(meet(X_11,X_15),X_78),
    inference(subst,[],[refute_0_619:[bind(Z,$fot(X_78)),bind(X_34,$fot(X_15)),bind(X_35,$fot(X_11))]]) ).

cnf(refute_0_962,plain,
    ( join(X_78,meet(X_15,X_11)) != join(meet(X_11,X_15),join(meet(X_15,X_11),X_78))
    | join(meet(X_11,X_15),join(meet(X_15,X_11),X_78)) != join(meet(X_11,X_15),X_78)
    | join(X_78,meet(X_15,X_11)) = join(meet(X_11,X_15),X_78) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_78,meet(X_15,X_11)),join(meet(X_11,X_15),X_78)) ),[0],$fot(join(meet(X_11,X_15),join(meet(X_15,X_11),X_78)))]]) ).

cnf(refute_0_963,plain,
    ( join(X_78,meet(X_15,X_11)) != join(meet(X_11,X_15),join(meet(X_15,X_11),X_78))
    | join(X_78,meet(X_15,X_11)) = join(meet(X_11,X_15),X_78) ),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_15),join(meet(X_15,X_11),X_78)),join(meet(X_11,X_15),X_78)) )],[refute_0_961,refute_0_962]) ).

cnf(refute_0_964,plain,
    join(X_78,meet(X_15,X_11)) = join(meet(X_11,X_15),X_78),
    inference(resolve,[$cnf( $equal(join(X_78,meet(X_15,X_11)),join(meet(X_11,X_15),join(meet(X_15,X_11),X_78))) )],[refute_0_960,refute_0_963]) ).

cnf(refute_0_965,plain,
    join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_109,X_11)) = join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))),
    inference(subst,[],[refute_0_964:[bind(X_15,$fot(X_109)),bind(X_78,$fot(meet(X_109,join(meet(X_109,X_11),X_110))))]]) ).

cnf(refute_0_966,plain,
    ( join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_109,X_11)) != join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110)))
    | join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_109,X_11)) != meet(X_109,join(meet(X_109,X_11),X_110))
    | join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) = meet(X_109,join(meet(X_109,X_11),X_110)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_109,X_11)),meet(X_109,join(meet(X_109,X_11),X_110))) ),[0],$fot(join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))))]]) ).

cnf(refute_0_967,plain,
    ( join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_109,X_11)) != meet(X_109,join(meet(X_109,X_11),X_110))
    | join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) = meet(X_109,join(meet(X_109,X_11),X_110)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_109,X_11)),join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110)))) )],[refute_0_965,refute_0_966]) ).

cnf(refute_0_968,plain,
    join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) = meet(X_109,join(meet(X_109,X_11),X_110)),
    inference(resolve,[$cnf( $equal(join(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_109,X_11)),meet(X_109,join(meet(X_109,X_11),X_110))) )],[refute_0_956,refute_0_967]) ).

cnf(refute_0_969,plain,
    join(meet(X_11,X_109),join(meet(X_109,X_11),meet(X_109,X_110))) = join(meet(X_11,X_109),meet(X_109,X_110)),
    inference(subst,[],[refute_0_619:[bind(Z,$fot(meet(X_109,X_110))),bind(X_34,$fot(X_109)),bind(X_35,$fot(X_11))]]) ).

cnf(refute_0_970,plain,
    join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) = join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68))))),
    inference(subst,[],[refute_0_388:[bind(X_11,$fot(X_154)),bind(X_31,$fot(meet(X_11,join(meet(X_11,X_154),X_68)))),bind(X_32,$fot(X_156))]]) ).

cnf(refute_0_971,plain,
    meet(X_11,X_154) = meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68))),
    inference(subst,[],[refute_0_950:[bind(X_70,$fot(X_154))]]) ).

cnf(refute_0_972,plain,
    ( meet(X_11,X_154) != meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68)))
    | meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68))) = meet(X_11,X_154) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_11,X_154))),bind(Y0,$fot(meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68)))))]]) ).

cnf(refute_0_973,plain,
    meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68))) = meet(X_11,X_154),
    inference(resolve,[$cnf( $equal(meet(X_11,X_154),meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68)))) )],[refute_0_971,refute_0_972]) ).

cnf(refute_0_974,plain,
    ( join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) != join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68)))))
    | meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68))) != meet(X_11,X_154)
    | join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) = join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))),join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68)))))) ),[1,1,1],$fot(meet(X_11,X_154))]]) ).

cnf(refute_0_975,plain,
    ( join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) != join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68)))))
    | join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) = join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))) ),
    inference(resolve,[$cnf( $equal(meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68))),meet(X_11,X_154)) )],[refute_0_973,refute_0_974]) ).

cnf(refute_0_976,plain,
    join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) = join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))),
    inference(resolve,[$cnf( $equal(join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))),join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_154,meet(X_11,join(meet(X_11,X_154),X_68)))))) )],[refute_0_970,refute_0_975]) ).

cnf(refute_0_977,plain,
    join(X_25,join(meet(X_141,X_140),X_26)) = join(X_25,join(X_26,meet(X_141,X_140))),
    inference(subst,[],[refute_0_908:[bind(X_11,$fot(meet(X_141,X_140)))]]) ).

cnf(refute_0_978,plain,
    join(meet(X_140,X_141),X_26) = join(X_26,meet(X_141,X_140)),
    inference(subst,[],[refute_0_659:[bind(X_136,$fot(X_26)),bind(X_137,$fot(X_140)),bind(X_138,$fot(X_141))]]) ).

cnf(refute_0_979,plain,
    ( join(meet(X_140,X_141),X_26) != join(X_26,meet(X_141,X_140))
    | join(X_26,meet(X_141,X_140)) = join(meet(X_140,X_141),X_26) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(meet(X_140,X_141),X_26))),bind(Y0,$fot(join(X_26,meet(X_141,X_140))))]]) ).

cnf(refute_0_980,plain,
    join(X_26,meet(X_141,X_140)) = join(meet(X_140,X_141),X_26),
    inference(resolve,[$cnf( $equal(join(meet(X_140,X_141),X_26),join(X_26,meet(X_141,X_140))) )],[refute_0_978,refute_0_979]) ).

cnf(refute_0_981,plain,
    ( join(X_25,join(meet(X_141,X_140),X_26)) != join(X_25,join(X_26,meet(X_141,X_140)))
    | join(X_26,meet(X_141,X_140)) != join(meet(X_140,X_141),X_26)
    | join(X_25,join(meet(X_141,X_140),X_26)) = join(X_25,join(meet(X_140,X_141),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(meet(X_141,X_140),X_26)),join(X_25,join(X_26,meet(X_141,X_140)))) ),[1,1],$fot(join(meet(X_140,X_141),X_26))]]) ).

cnf(refute_0_982,plain,
    ( join(X_25,join(meet(X_141,X_140),X_26)) != join(X_25,join(X_26,meet(X_141,X_140)))
    | join(X_25,join(meet(X_141,X_140),X_26)) = join(X_25,join(meet(X_140,X_141),X_26)) ),
    inference(resolve,[$cnf( $equal(join(X_26,meet(X_141,X_140)),join(meet(X_140,X_141),X_26)) )],[refute_0_980,refute_0_981]) ).

cnf(refute_0_983,plain,
    join(X_25,join(meet(X_141,X_140),X_26)) = join(X_25,join(meet(X_140,X_141),X_26)),
    inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_141,X_140),X_26)),join(X_25,join(X_26,meet(X_141,X_140)))) )],[refute_0_977,refute_0_982]) ).

cnf(refute_0_984,plain,
    ( join(X_25,join(meet(X_141,X_140),X_26)) != join(X_25,join(meet(X_140,X_141),X_26))
    | join(X_25,join(meet(X_140,X_141),X_26)) = join(X_25,join(meet(X_141,X_140),X_26)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_25,join(meet(X_141,X_140),X_26)))),bind(Y0,$fot(join(X_25,join(meet(X_140,X_141),X_26))))]]) ).

cnf(refute_0_985,plain,
    join(X_25,join(meet(X_140,X_141),X_26)) = join(X_25,join(meet(X_141,X_140),X_26)),
    inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_141,X_140),X_26)),join(X_25,join(meet(X_140,X_141),X_26))) )],[refute_0_983,refute_0_984]) ).

cnf(refute_0_986,plain,
    join(meet(X_11,X_154),join(meet(join(meet(X_11,X_154),X_68),X_11),X_156)) = join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)),
    inference(subst,[],[refute_0_985:[bind(X_140,$fot(join(meet(X_11,X_154),X_68))),bind(X_141,$fot(X_11)),bind(X_25,$fot(meet(X_11,X_154))),bind(X_26,$fot(X_156))]]) ).

cnf(refute_0_987,plain,
    join(meet(X_141,X_140),join(X_19,X_21)) = join(X_21,join(X_19,meet(X_141,X_140))),
    inference(subst,[],[refute_0_549:[bind(X_20,$fot(meet(X_141,X_140)))]]) ).

cnf(refute_0_988,plain,
    join(meet(X_140,X_141),X_19) = join(X_19,meet(X_141,X_140)),
    inference(subst,[],[refute_0_659:[bind(X_136,$fot(X_19)),bind(X_137,$fot(X_140)),bind(X_138,$fot(X_141))]]) ).

cnf(refute_0_989,plain,
    ( join(meet(X_140,X_141),X_19) != join(X_19,meet(X_141,X_140))
    | join(X_19,meet(X_141,X_140)) = join(meet(X_140,X_141),X_19) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(meet(X_140,X_141),X_19))),bind(Y0,$fot(join(X_19,meet(X_141,X_140))))]]) ).

cnf(refute_0_990,plain,
    join(X_19,meet(X_141,X_140)) = join(meet(X_140,X_141),X_19),
    inference(resolve,[$cnf( $equal(join(meet(X_140,X_141),X_19),join(X_19,meet(X_141,X_140))) )],[refute_0_988,refute_0_989]) ).

cnf(refute_0_991,plain,
    ( join(X_19,meet(X_141,X_140)) != join(meet(X_140,X_141),X_19)
    | join(meet(X_141,X_140),join(X_19,X_21)) != join(X_21,join(X_19,meet(X_141,X_140)))
    | join(meet(X_141,X_140),join(X_19,X_21)) = join(X_21,join(meet(X_140,X_141),X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_141,X_140),join(X_19,X_21)),join(X_21,join(X_19,meet(X_141,X_140)))) ),[1,1],$fot(join(meet(X_140,X_141),X_19))]]) ).

cnf(refute_0_992,plain,
    ( join(meet(X_141,X_140),join(X_19,X_21)) != join(X_21,join(X_19,meet(X_141,X_140)))
    | join(meet(X_141,X_140),join(X_19,X_21)) = join(X_21,join(meet(X_140,X_141),X_19)) ),
    inference(resolve,[$cnf( $equal(join(X_19,meet(X_141,X_140)),join(meet(X_140,X_141),X_19)) )],[refute_0_990,refute_0_991]) ).

cnf(refute_0_993,plain,
    join(meet(X_141,X_140),join(X_19,X_21)) = join(X_21,join(meet(X_140,X_141),X_19)),
    inference(resolve,[$cnf( $equal(join(meet(X_141,X_140),join(X_19,X_21)),join(X_21,join(X_19,meet(X_141,X_140)))) )],[refute_0_987,refute_0_992]) ).

cnf(refute_0_994,plain,
    join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))) = join(meet(X_11,X_154),join(meet(join(meet(X_11,X_154),X_68),X_11),X_156)),
    inference(subst,[],[refute_0_993:[bind(X_140,$fot(join(meet(X_11,X_154),X_68))),bind(X_141,$fot(X_11)),bind(X_19,$fot(X_156)),bind(X_21,$fot(meet(X_11,X_154)))]]) ).

cnf(refute_0_995,plain,
    ( join(meet(X_11,X_154),join(meet(join(meet(X_11,X_154),X_68),X_11),X_156)) != join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156))
    | join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))) != join(meet(X_11,X_154),join(meet(join(meet(X_11,X_154),X_68),X_11),X_156))
    | join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))) = join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))))),bind(Y0,$fot(join(meet(X_11,X_154),join(meet(join(meet(X_11,X_154),X_68),X_11),X_156)))),bind(Z0,$fot(join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156))))]]) ).

cnf(refute_0_996,plain,
    ( join(meet(X_11,X_154),join(meet(join(meet(X_11,X_154),X_68),X_11),X_156)) != join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156))
    | join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))) = join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))),join(meet(X_11,X_154),join(meet(join(meet(X_11,X_154),X_68),X_11),X_156))) )],[refute_0_994,refute_0_995]) ).

cnf(refute_0_997,plain,
    join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))) = join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_154),join(meet(join(meet(X_11,X_154),X_68),X_11),X_156)),join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156))) )],[refute_0_986,refute_0_996]) ).

cnf(refute_0_998,plain,
    ( join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) != join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154)))
    | join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))) != join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156))
    | join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) = join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))),join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156))) ),[0],$fot(join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))))]]) ).

cnf(refute_0_999,plain,
    ( join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) != join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154)))
    | join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) = join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154))),join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156))) )],[refute_0_997,refute_0_998]) ).

cnf(refute_0_1000,plain,
    join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) = join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)),
    inference(resolve,[$cnf( $equal(join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))),join(meet(X_11,join(meet(X_11,X_154),X_68)),join(X_156,meet(X_11,X_154)))) )],[refute_0_976,refute_0_999]) ).

cnf(refute_0_1001,plain,
    meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_21,X_167),X_168)))) = join(meet(join(X_21,X_167),X_168),join(X_20,X_21)),
    inference(subst,[],[refute_0_586:[bind(X_64,$fot(meet(join(X_21,X_167),X_168)))]]) ).

cnf(refute_0_1002,plain,
    meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,meet(X_40,join(X_40,Y))))),
    inference(subst,[],[refute_0_58:[bind(X,$fot(X_39)),bind(Y,$fot(X_40)),bind(Z,$fot(join(X_40,Y)))]]) ).

cnf(refute_0_1003,plain,
    meet(X_40,join(X_40,Y)) = X_40,
    inference(subst,[],[absorption1:[bind(X,$fot(X_40))]]) ).

cnf(refute_0_1004,plain,
    ( meet(X_40,join(X_40,Y)) != X_40
    | meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) != join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,meet(X_40,join(X_40,Y)))))
    | meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))),join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,meet(X_40,join(X_40,Y)))))) ),[1,1,1,1],$fot(X_40)]]) ).

cnf(refute_0_1005,plain,
    ( meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) != join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,meet(X_40,join(X_40,Y)))))
    | meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))) ),
    inference(resolve,[$cnf( $equal(meet(X_40,join(X_40,Y)),X_40) )],[refute_0_1003,refute_0_1004]) ).

cnf(refute_0_1006,plain,
    meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))),join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,meet(X_40,join(X_40,Y)))))) )],[refute_0_1002,refute_0_1005]) ).

cnf(refute_0_1007,plain,
    ( join(X_32,X_31) != join(X_31,join(X_32,meet(X_11,X_31)))
    | join(X_31,join(X_32,meet(X_11,X_31))) = join(X_32,X_31) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_32,X_31))),bind(Y0,$fot(join(X_31,join(X_32,meet(X_11,X_31)))))]]) ).

cnf(refute_0_1008,plain,
    join(X_31,join(X_32,meet(X_11,X_31))) = join(X_32,X_31),
    inference(resolve,[$cnf( $equal(join(X_32,X_31),join(X_31,join(X_32,meet(X_11,X_31)))) )],[refute_0_388,refute_0_1007]) ).

cnf(refute_0_1009,plain,
    join(X_40,join(Y,meet(X_39,X_40))) = join(Y,X_40),
    inference(subst,[],[refute_0_1008:[bind(X_11,$fot(X_39)),bind(X_31,$fot(X_40)),bind(X_32,$fot(Y))]]) ).

cnf(refute_0_1010,plain,
    join(join(X_40,Y),meet(X_39,X_40)) = join(X_40,join(Y,meet(X_39,X_40))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_40)),bind(Z,$fot(meet(X_39,X_40)))]]) ).

cnf(refute_0_1011,plain,
    ( join(X_40,join(Y,meet(X_39,X_40))) != join(Y,X_40)
    | join(join(X_40,Y),meet(X_39,X_40)) != join(X_40,join(Y,meet(X_39,X_40)))
    | join(join(X_40,Y),meet(X_39,X_40)) = join(Y,X_40) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(join(X_40,Y),meet(X_39,X_40)))),bind(Y0,$fot(join(X_40,join(Y,meet(X_39,X_40))))),bind(Z0,$fot(join(Y,X_40)))]]) ).

cnf(refute_0_1012,plain,
    ( join(X_40,join(Y,meet(X_39,X_40))) != join(Y,X_40)
    | join(join(X_40,Y),meet(X_39,X_40)) = join(Y,X_40) ),
    inference(resolve,[$cnf( $equal(join(join(X_40,Y),meet(X_39,X_40)),join(X_40,join(Y,meet(X_39,X_40)))) )],[refute_0_1010,refute_0_1011]) ).

cnf(refute_0_1013,plain,
    join(join(X_40,Y),meet(X_39,X_40)) = join(Y,X_40),
    inference(resolve,[$cnf( $equal(join(X_40,join(Y,meet(X_39,X_40))),join(Y,X_40)) )],[refute_0_1009,refute_0_1012]) ).

cnf(refute_0_1014,plain,
    meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))),
    introduced(tautology,[refl,[$fot(meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))))]]) ).

cnf(refute_0_1015,plain,
    ( join(join(X_40,Y),meet(X_39,X_40)) != join(Y,X_40)
    | meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))) != meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40)))
    | meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,X_40),join(Y,X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))),meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40)))) ),[1,1],$fot(join(Y,X_40))]]) ).

cnf(refute_0_1016,plain,
    ( join(join(X_40,Y),meet(X_39,X_40)) != join(Y,X_40)
    | meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,X_40),join(Y,X_40)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))),meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40)))) )],[refute_0_1014,refute_0_1015]) ).

cnf(refute_0_1017,plain,
    meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,X_40),join(Y,X_40)),
    inference(resolve,[$cnf( $equal(join(join(X_40,Y),meet(X_39,X_40)),join(Y,X_40)) )],[refute_0_1013,refute_0_1016]) ).

cnf(refute_0_1018,plain,
    join(X_39,meet(X_40,join(X_40,Y))) = join(X_39,meet(X_40,join(X_40,Y))),
    introduced(tautology,[refl,[$fot(join(X_39,meet(X_40,join(X_40,Y))))]]) ).

cnf(refute_0_1019,plain,
    ( join(X_39,meet(X_40,join(X_40,Y))) != join(X_39,meet(X_40,join(X_40,Y)))
    | meet(X_40,join(X_40,Y)) != X_40
    | join(X_39,meet(X_40,join(X_40,Y))) = join(X_39,X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_39,meet(X_40,join(X_40,Y))),join(X_39,meet(X_40,join(X_40,Y)))) ),[1,1],$fot(X_40)]]) ).

cnf(refute_0_1020,plain,
    ( meet(X_40,join(X_40,Y)) != X_40
    | join(X_39,meet(X_40,join(X_40,Y))) = join(X_39,X_40) ),
    inference(resolve,[$cnf( $equal(join(X_39,meet(X_40,join(X_40,Y))),join(X_39,meet(X_40,join(X_40,Y)))) )],[refute_0_1018,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    join(X_39,meet(X_40,join(X_40,Y))) = join(X_39,X_40),
    inference(resolve,[$cnf( $equal(meet(X_40,join(X_40,Y)),X_40) )],[refute_0_1003,refute_0_1020]) ).

cnf(refute_0_1022,plain,
    meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))),
    introduced(tautology,[refl,[$fot(meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))))]]) ).

cnf(refute_0_1023,plain,
    ( join(X_39,meet(X_40,join(X_40,Y))) != join(X_39,X_40)
    | meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) != meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40)))
    | meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))),meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40)))) ),[1,0],$fot(join(X_39,X_40))]]) ).

cnf(refute_0_1024,plain,
    ( join(X_39,meet(X_40,join(X_40,Y))) != join(X_39,X_40)
    | meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))),meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40)))) )],[refute_0_1022,refute_0_1023]) ).

cnf(refute_0_1025,plain,
    meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))),
    inference(resolve,[$cnf( $equal(join(X_39,meet(X_40,join(X_40,Y))),join(X_39,X_40)) )],[refute_0_1021,refute_0_1024]) ).

cnf(refute_0_1026,plain,
    ( meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))) != meet(join(X_39,X_40),join(Y,X_40))
    | meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) != meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40)))
    | meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,X_40),join(Y,X_40)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))))),bind(Y0,$fot(meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))))),bind(Z0,$fot(meet(join(X_39,X_40),join(Y,X_40))))]]) ).

cnf(refute_0_1027,plain,
    ( meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))) != meet(join(X_39,X_40),join(Y,X_40))
    | meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,X_40),join(Y,X_40)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))),meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40)))) )],[refute_0_1025,refute_0_1026]) ).

cnf(refute_0_1028,plain,
    meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) = meet(join(X_39,X_40),join(Y,X_40)),
    inference(resolve,[$cnf( $equal(meet(join(X_39,X_40),join(join(X_40,Y),meet(X_39,X_40))),meet(join(X_39,X_40),join(Y,X_40))) )],[refute_0_1017,refute_0_1027]) ).

cnf(refute_0_1029,plain,
    ( meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) != join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))
    | meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) != meet(join(X_39,X_40),join(Y,X_40))
    | meet(join(X_39,X_40),join(Y,X_40)) = join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))),join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))) ),[0],$fot(meet(join(X_39,X_40),join(Y,X_40)))]]) ).

cnf(refute_0_1030,plain,
    ( meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) != join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))
    | meet(join(X_39,X_40),join(Y,X_40)) = join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))),meet(join(X_39,X_40),join(Y,X_40))) )],[refute_0_1028,refute_0_1029]) ).

cnf(refute_0_1031,plain,
    join(join(X_20,X_20),X_21) = join(X_20,join(X_20,X_21)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_20)),bind(Y,$fot(X_20)),bind(Z,$fot(X_21))]]) ).

cnf(refute_0_1032,plain,
    join(X_20,X_20) = X_20,
    inference(subst,[],[idempotence_of_join:[bind(X,$fot(X_20))]]) ).

cnf(refute_0_1033,plain,
    ( join(X_20,X_20) != X_20
    | join(join(X_20,X_20),X_21) != join(X_20,join(X_20,X_21))
    | join(X_20,X_21) = join(X_20,join(X_20,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_20,X_20),X_21),join(X_20,join(X_20,X_21))) ),[0,0],$fot(X_20)]]) ).

cnf(refute_0_1034,plain,
    ( join(join(X_20,X_20),X_21) != join(X_20,join(X_20,X_21))
    | join(X_20,X_21) = join(X_20,join(X_20,X_21)) ),
    inference(resolve,[$cnf( $equal(join(X_20,X_20),X_20) )],[refute_0_1032,refute_0_1033]) ).

cnf(refute_0_1035,plain,
    join(X_20,X_21) = join(X_20,join(X_20,X_21)),
    inference(resolve,[$cnf( $equal(join(join(X_20,X_20),X_21),join(X_20,join(X_20,X_21))) )],[refute_0_1031,refute_0_1034]) ).

cnf(refute_0_1036,plain,
    ( join(X_20,X_21) != join(X_20,join(X_20,X_21))
    | join(X_20,join(X_20,X_21)) = join(X_20,X_21) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_20,X_21))),bind(Y0,$fot(join(X_20,join(X_20,X_21))))]]) ).

cnf(refute_0_1037,plain,
    join(X_20,join(X_20,X_21)) = join(X_20,X_21),
    inference(resolve,[$cnf( $equal(join(X_20,X_21),join(X_20,join(X_20,X_21))) )],[refute_0_1035,refute_0_1036]) ).

cnf(refute_0_1038,plain,
    join(X_40,join(X_40,Y)) = join(X_40,Y),
    inference(subst,[],[refute_0_1037:[bind(X_20,$fot(X_40)),bind(X_21,$fot(Y))]]) ).

cnf(refute_0_1039,plain,
    meet(X_39,join(X_40,join(X_40,Y))) = meet(X_39,join(X_40,join(X_40,Y))),
    introduced(tautology,[refl,[$fot(meet(X_39,join(X_40,join(X_40,Y))))]]) ).

cnf(refute_0_1040,plain,
    ( join(X_40,join(X_40,Y)) != join(X_40,Y)
    | meet(X_39,join(X_40,join(X_40,Y))) != meet(X_39,join(X_40,join(X_40,Y)))
    | meet(X_39,join(X_40,join(X_40,Y))) = meet(X_39,join(X_40,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(X_40,join(X_40,Y))),meet(X_39,join(X_40,join(X_40,Y)))) ),[1,1],$fot(join(X_40,Y))]]) ).

cnf(refute_0_1041,plain,
    ( join(X_40,join(X_40,Y)) != join(X_40,Y)
    | meet(X_39,join(X_40,join(X_40,Y))) = meet(X_39,join(X_40,Y)) ),
    inference(resolve,[$cnf( $equal(meet(X_39,join(X_40,join(X_40,Y))),meet(X_39,join(X_40,join(X_40,Y)))) )],[refute_0_1039,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    meet(X_39,join(X_40,join(X_40,Y))) = meet(X_39,join(X_40,Y)),
    inference(resolve,[$cnf( $equal(join(X_40,join(X_40,Y)),join(X_40,Y)) )],[refute_0_1038,refute_0_1041]) ).

cnf(refute_0_1043,plain,
    join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))) = join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))),
    introduced(tautology,[refl,[$fot(join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))))]]) ).

cnf(refute_0_1044,plain,
    ( join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))) != join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))
    | meet(X_39,join(X_40,join(X_40,Y))) != meet(X_39,join(X_40,Y))
    | join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))),join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))) ),[1,0],$fot(meet(X_39,join(X_40,Y)))]]) ).

cnf(refute_0_1045,plain,
    ( meet(X_39,join(X_40,join(X_40,Y))) != meet(X_39,join(X_40,Y))
    | join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))),join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))) )],[refute_0_1043,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))),
    inference(resolve,[$cnf( $equal(meet(X_39,join(X_40,join(X_40,Y))),meet(X_39,join(X_40,Y))) )],[refute_0_1042,refute_0_1045]) ).

cnf(refute_0_1047,plain,
    ( join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))) != join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))
    | meet(join(X_39,X_40),join(Y,X_40)) != join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))
    | meet(join(X_39,X_40),join(Y,X_40)) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,X_40),join(Y,X_40)),join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))) ),[1],$fot(join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))))]]) ).

cnf(refute_0_1048,plain,
    ( meet(join(X_39,X_40),join(Y,X_40)) != join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))
    | meet(join(X_39,X_40),join(Y,X_40)) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40))),join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))) )],[refute_0_1046,refute_0_1047]) ).

cnf(refute_0_1049,plain,
    ( meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))) != join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))
    | meet(join(X_39,X_40),join(Y,X_40)) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,X_40),join(Y,X_40)),join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))) )],[refute_0_1030,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    meet(join(X_39,X_40),join(Y,X_40)) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,join(X_40,Y))),join(join(X_40,Y),meet(X_39,X_40))),join(meet(X_39,join(X_40,join(X_40,Y))),meet(join(X_40,Y),join(X_39,X_40)))) )],[refute_0_1006,refute_0_1049]) ).

cnf(refute_0_1051,plain,
    meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,join(X_120,meet(join(Y,X_120),X_118)))) = join(X_120,meet(join(Y,X_120),X_118)),
    inference(subst,[],[refute_0_37:[bind(X,$fot(join(X_120,meet(join(Y,X_120),X_118))))]]) ).

cnf(refute_0_1052,plain,
    join(join(X_19,X_20),meet(join(X_19,X_20),Y)) = join(X_19,X_20),
    inference(subst,[],[absorption2:[bind(X,$fot(join(X_19,X_20)))]]) ).

cnf(refute_0_1053,plain,
    join(join(X_19,X_20),meet(join(X_19,X_20),Y)) = join(X_19,join(X_20,meet(join(X_19,X_20),Y))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_19)),bind(Y,$fot(X_20)),bind(Z,$fot(meet(join(X_19,X_20),Y)))]]) ).

cnf(refute_0_1054,plain,
    ( join(join(X_19,X_20),meet(join(X_19,X_20),Y)) != join(X_19,X_20)
    | join(join(X_19,X_20),meet(join(X_19,X_20),Y)) != join(X_19,join(X_20,meet(join(X_19,X_20),Y)))
    | join(X_19,join(X_20,meet(join(X_19,X_20),Y))) = join(X_19,X_20) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_19,X_20),meet(join(X_19,X_20),Y)),join(X_19,X_20)) ),[0],$fot(join(X_19,join(X_20,meet(join(X_19,X_20),Y))))]]) ).

cnf(refute_0_1055,plain,
    ( join(join(X_19,X_20),meet(join(X_19,X_20),Y)) != join(X_19,X_20)
    | join(X_19,join(X_20,meet(join(X_19,X_20),Y))) = join(X_19,X_20) ),
    inference(resolve,[$cnf( $equal(join(join(X_19,X_20),meet(join(X_19,X_20),Y)),join(X_19,join(X_20,meet(join(X_19,X_20),Y)))) )],[refute_0_1053,refute_0_1054]) ).

cnf(refute_0_1056,plain,
    join(X_19,join(X_20,meet(join(X_19,X_20),Y))) = join(X_19,X_20),
    inference(resolve,[$cnf( $equal(join(join(X_19,X_20),meet(join(X_19,X_20),Y)),join(X_19,X_20)) )],[refute_0_1052,refute_0_1055]) ).

cnf(refute_0_1057,plain,
    join(Y,join(X_120,meet(join(Y,X_120),X_118))) = join(Y,X_120),
    inference(subst,[],[refute_0_1056:[bind(Y,$fot(X_118)),bind(X_19,$fot(Y)),bind(X_20,$fot(X_120))]]) ).

cnf(refute_0_1058,plain,
    ( join(Y,join(X_120,meet(join(Y,X_120),X_118))) != join(Y,X_120)
    | meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,join(X_120,meet(join(Y,X_120),X_118)))) != join(X_120,meet(join(Y,X_120),X_118))
    | meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) = join(X_120,meet(join(Y,X_120),X_118)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,join(X_120,meet(join(Y,X_120),X_118)))),join(X_120,meet(join(Y,X_120),X_118))) ),[0,1],$fot(join(Y,X_120))]]) ).

cnf(refute_0_1059,plain,
    ( meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,join(X_120,meet(join(Y,X_120),X_118)))) != join(X_120,meet(join(Y,X_120),X_118))
    | meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) = join(X_120,meet(join(Y,X_120),X_118)) ),
    inference(resolve,[$cnf( $equal(join(Y,join(X_120,meet(join(Y,X_120),X_118))),join(Y,X_120)) )],[refute_0_1057,refute_0_1058]) ).

cnf(refute_0_1060,plain,
    meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) = join(X_120,meet(join(Y,X_120),X_118)),
    inference(resolve,[$cnf( $equal(meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,join(X_120,meet(join(Y,X_120),X_118)))),join(X_120,meet(join(Y,X_120),X_118))) )],[refute_0_1051,refute_0_1059]) ).

cnf(refute_0_1061,plain,
    meet(X_109,join(Y,Z)) = meet(join(Y,Z),meet(X_109,join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z)))))),
    inference(subst,[],[refute_0_950:[bind(X_11,$fot(X_109)),bind(X_68,$fot(meet(Z,join(X_109,meet(Y,Z))))),bind(X_70,$fot(join(Y,Z)))]]) ).

cnf(refute_0_1062,plain,
    meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))) = join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z)))),
    inference(subst,[],[refute_0_58:[bind(X,$fot(X_109))]]) ).

cnf(refute_0_1063,plain,
    ( meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))) != join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z))))
    | join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z)))) = meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))),bind(Y0,$fot(join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z))))))]]) ).

cnf(refute_0_1064,plain,
    join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z)))) = meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))),
    inference(resolve,[$cnf( $equal(meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))),join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z))))) )],[refute_0_1062,refute_0_1063]) ).

cnf(refute_0_1065,plain,
    ( join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z)))) != meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))
    | meet(X_109,join(Y,Z)) != meet(join(Y,Z),meet(X_109,join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z))))))
    | meet(X_109,join(Y,Z)) = meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_109,join(Y,Z)),meet(join(Y,Z),meet(X_109,join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z))))))) ),[1,1,1],$fot(meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))]]) ).

cnf(refute_0_1066,plain,
    ( meet(X_109,join(Y,Z)) != meet(join(Y,Z),meet(X_109,join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z))))))
    | meet(X_109,join(Y,Z)) = meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z)))),meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))) )],[refute_0_1064,refute_0_1065]) ).

cnf(refute_0_1067,plain,
    meet(X_109,join(Y,Z)) = meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))),
    inference(resolve,[$cnf( $equal(meet(X_109,join(Y,Z)),meet(join(Y,Z),meet(X_109,join(meet(X_109,join(Y,Z)),meet(Z,join(X_109,meet(Y,Z))))))) )],[refute_0_1061,refute_0_1066]) ).

cnf(refute_0_1068,plain,
    meet(join(meet(X_109,Y),Z),X_109) = meet(X_109,join(Z,meet(X_109,Y))),
    inference(subst,[],[refute_0_349:[bind(X_16,$fot(X_109)),bind(X_63,$fot(meet(X_109,Y))),bind(X_64,$fot(Z))]]) ).

cnf(refute_0_1069,plain,
    meet(meet(X_16,join(Y,X_16)),X_18) = meet(X_16,meet(join(Y,X_16),X_18)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_16)),bind(Y,$fot(join(Y,X_16))),bind(Z,$fot(X_18))]]) ).

cnf(refute_0_1070,plain,
    meet(X_16,join(Y,X_16)) = X_16,
    inference(subst,[],[refute_0_37:[bind(X,$fot(X_16))]]) ).

cnf(refute_0_1071,plain,
    ( meet(X_16,join(Y,X_16)) != X_16
    | meet(meet(X_16,join(Y,X_16)),X_18) != meet(X_16,meet(join(Y,X_16),X_18))
    | meet(X_16,X_18) = meet(X_16,meet(join(Y,X_16),X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,join(Y,X_16)),X_18),meet(X_16,meet(join(Y,X_16),X_18))) ),[0,0],$fot(X_16)]]) ).

cnf(refute_0_1072,plain,
    ( meet(meet(X_16,join(Y,X_16)),X_18) != meet(X_16,meet(join(Y,X_16),X_18))
    | meet(X_16,X_18) = meet(X_16,meet(join(Y,X_16),X_18)) ),
    inference(resolve,[$cnf( $equal(meet(X_16,join(Y,X_16)),X_16) )],[refute_0_1070,refute_0_1071]) ).

cnf(refute_0_1073,plain,
    meet(X_16,X_18) = meet(X_16,meet(join(Y,X_16),X_18)),
    inference(resolve,[$cnf( $equal(meet(meet(X_16,join(Y,X_16)),X_18),meet(X_16,meet(join(Y,X_16),X_18))) )],[refute_0_1069,refute_0_1072]) ).

cnf(refute_0_1074,plain,
    meet(join(meet(X_11,X_74),X_21),X_76) = meet(join(meet(X_11,X_74),X_21),meet(join(X_74,join(meet(X_11,X_74),X_21)),X_76)),
    inference(subst,[],[refute_0_1073:[bind(Y,$fot(X_74)),bind(X_16,$fot(join(meet(X_11,X_74),X_21))),bind(X_18,$fot(X_76))]]) ).

cnf(refute_0_1075,plain,
    join(X_74,X_21) = join(X_74,join(meet(X_11,X_74),X_21)),
    inference(subst,[],[refute_0_540:[bind(X_19,$fot(X_74))]]) ).

cnf(refute_0_1076,plain,
    ( join(X_74,X_21) != join(X_74,join(meet(X_11,X_74),X_21))
    | join(X_74,join(meet(X_11,X_74),X_21)) = join(X_74,X_21) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_74,X_21))),bind(Y0,$fot(join(X_74,join(meet(X_11,X_74),X_21))))]]) ).

cnf(refute_0_1077,plain,
    join(X_74,join(meet(X_11,X_74),X_21)) = join(X_74,X_21),
    inference(resolve,[$cnf( $equal(join(X_74,X_21),join(X_74,join(meet(X_11,X_74),X_21))) )],[refute_0_1075,refute_0_1076]) ).

cnf(refute_0_1078,plain,
    ( join(X_74,join(meet(X_11,X_74),X_21)) != join(X_74,X_21)
    | meet(join(meet(X_11,X_74),X_21),X_76) != meet(join(meet(X_11,X_74),X_21),meet(join(X_74,join(meet(X_11,X_74),X_21)),X_76))
    | meet(join(meet(X_11,X_74),X_21),X_76) = meet(join(meet(X_11,X_74),X_21),meet(join(X_74,X_21),X_76)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_11,X_74),X_21),X_76),meet(join(meet(X_11,X_74),X_21),meet(join(X_74,join(meet(X_11,X_74),X_21)),X_76))) ),[1,1,0],$fot(join(X_74,X_21))]]) ).

cnf(refute_0_1079,plain,
    ( meet(join(meet(X_11,X_74),X_21),X_76) != meet(join(meet(X_11,X_74),X_21),meet(join(X_74,join(meet(X_11,X_74),X_21)),X_76))
    | meet(join(meet(X_11,X_74),X_21),X_76) = meet(join(meet(X_11,X_74),X_21),meet(join(X_74,X_21),X_76)) ),
    inference(resolve,[$cnf( $equal(join(X_74,join(meet(X_11,X_74),X_21)),join(X_74,X_21)) )],[refute_0_1077,refute_0_1078]) ).

cnf(refute_0_1080,plain,
    meet(join(meet(X_11,X_74),X_21),X_76) = meet(join(meet(X_11,X_74),X_21),meet(join(X_74,X_21),X_76)),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_11,X_74),X_21),X_76),meet(join(meet(X_11,X_74),X_21),meet(join(X_74,join(meet(X_11,X_74),X_21)),X_76))) )],[refute_0_1074,refute_0_1079]) ).

cnf(refute_0_1081,plain,
    meet(join(X_63,X_64),meet(X_71,X_73)) = meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73))),
    inference(subst,[],[refute_0_163:[bind(X_11,$fot(X_71)),bind(X_16,$fot(join(X_63,X_64))),bind(X_18,$fot(X_73))]]) ).

cnf(refute_0_1082,plain,
    meet(join(X_63,X_64),meet(X_71,X_73)) = meet(meet(X_71,X_73),join(X_64,X_63)),
    inference(subst,[],[refute_0_349:[bind(X_16,$fot(meet(X_71,X_73)))]]) ).

cnf(refute_0_1083,plain,
    ( meet(join(X_63,X_64),meet(X_71,X_73)) != meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))
    | meet(join(X_63,X_64),meet(X_71,X_73)) != meet(meet(X_71,X_73),join(X_64,X_63))
    | meet(meet(X_71,X_73),join(X_64,X_63)) = meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_63,X_64),meet(X_71,X_73)),meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))) ),[0],$fot(meet(meet(X_71,X_73),join(X_64,X_63)))]]) ).

cnf(refute_0_1084,plain,
    ( meet(join(X_63,X_64),meet(X_71,X_73)) != meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))
    | meet(meet(X_71,X_73),join(X_64,X_63)) = meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_71,X_73)),meet(meet(X_71,X_73),join(X_64,X_63))) )],[refute_0_1082,refute_0_1083]) ).

cnf(refute_0_1085,plain,
    meet(meet(X_71,X_73),join(X_64,X_63)) = meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73))),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_71,X_73)),meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))) )],[refute_0_1081,refute_0_1084]) ).

cnf(refute_0_1086,plain,
    meet(meet(X_71,X_73),join(X_64,X_63)) = meet(X_71,meet(X_73,join(X_64,X_63))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_71)),bind(Y,$fot(X_73)),bind(Z,$fot(join(X_64,X_63)))]]) ).

cnf(refute_0_1087,plain,
    ( meet(meet(X_71,X_73),join(X_64,X_63)) != meet(X_71,meet(X_73,join(X_64,X_63)))
    | meet(meet(X_71,X_73),join(X_64,X_63)) != meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))
    | meet(X_71,meet(X_73,join(X_64,X_63))) = meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_71,X_73),join(X_64,X_63)),meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))) ),[0],$fot(meet(X_71,meet(X_73,join(X_64,X_63))))]]) ).

cnf(refute_0_1088,plain,
    ( meet(meet(X_71,X_73),join(X_64,X_63)) != meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))
    | meet(X_71,meet(X_73,join(X_64,X_63))) = meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_71,X_73),join(X_64,X_63)),meet(X_71,meet(X_73,join(X_64,X_63)))) )],[refute_0_1086,refute_0_1087]) ).

cnf(refute_0_1089,plain,
    meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73))) = meet(join(X_63,X_64),meet(X_71,X_73)),
    inference(subst,[],[refute_0_239:[bind(X_11,$fot(X_71)),bind(X_16,$fot(join(X_63,X_64))),bind(X_18,$fot(X_73))]]) ).

cnf(refute_0_1090,plain,
    ( meet(X_71,meet(X_73,join(X_64,X_63))) != meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))
    | meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73))) != meet(join(X_63,X_64),meet(X_71,X_73))
    | meet(X_71,meet(X_73,join(X_64,X_63))) = meet(join(X_63,X_64),meet(X_71,X_73)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_71,meet(X_73,join(X_64,X_63))),meet(join(X_63,X_64),meet(X_71,X_73))) ),[0],$fot(meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73))))]]) ).

cnf(refute_0_1091,plain,
    ( meet(X_71,meet(X_73,join(X_64,X_63))) != meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))
    | meet(X_71,meet(X_73,join(X_64,X_63))) = meet(join(X_63,X_64),meet(X_71,X_73)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73))),meet(join(X_63,X_64),meet(X_71,X_73))) )],[refute_0_1089,refute_0_1090]) ).

cnf(refute_0_1092,plain,
    ( meet(meet(X_71,X_73),join(X_64,X_63)) != meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))
    | meet(X_71,meet(X_73,join(X_64,X_63))) = meet(join(X_63,X_64),meet(X_71,X_73)) ),
    inference(resolve,[$cnf( $equal(meet(X_71,meet(X_73,join(X_64,X_63))),meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))) )],[refute_0_1088,refute_0_1091]) ).

cnf(refute_0_1093,plain,
    meet(X_71,meet(X_73,join(X_64,X_63))) = meet(join(X_63,X_64),meet(X_71,X_73)),
    inference(resolve,[$cnf( $equal(meet(meet(X_71,X_73),join(X_64,X_63)),meet(join(X_63,X_64),meet(X_71,meet(join(X_63,X_64),X_73)))) )],[refute_0_1085,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    ( meet(X_71,meet(X_73,join(X_64,X_63))) != meet(join(X_63,X_64),meet(X_71,X_73))
    | meet(join(X_63,X_64),meet(X_71,X_73)) = meet(X_71,meet(X_73,join(X_64,X_63))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_71,meet(X_73,join(X_64,X_63))))),bind(Y0,$fot(meet(join(X_63,X_64),meet(X_71,X_73))))]]) ).

cnf(refute_0_1095,plain,
    meet(join(X_63,X_64),meet(X_71,X_73)) = meet(X_71,meet(X_73,join(X_64,X_63))),
    inference(resolve,[$cnf( $equal(meet(X_71,meet(X_73,join(X_64,X_63))),meet(join(X_63,X_64),meet(X_71,X_73))) )],[refute_0_1093,refute_0_1094]) ).

cnf(refute_0_1096,plain,
    meet(join(meet(X_11,X_74),X_21),meet(join(X_74,X_21),X_76)) = meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74)))),
    inference(subst,[],[refute_0_1095:[bind(X_63,$fot(meet(X_11,X_74))),bind(X_64,$fot(X_21)),bind(X_71,$fot(join(X_74,X_21))),bind(X_73,$fot(X_76))]]) ).

cnf(refute_0_1097,plain,
    ( meet(join(meet(X_11,X_74),X_21),X_76) != meet(join(meet(X_11,X_74),X_21),meet(join(X_74,X_21),X_76))
    | meet(join(meet(X_11,X_74),X_21),meet(join(X_74,X_21),X_76)) != meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74))))
    | meet(join(meet(X_11,X_74),X_21),X_76) = meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(meet(X_11,X_74),X_21),X_76),meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74))))) ),[0],$fot(meet(join(meet(X_11,X_74),X_21),meet(join(X_74,X_21),X_76)))]]) ).

cnf(refute_0_1098,plain,
    ( meet(join(meet(X_11,X_74),X_21),X_76) != meet(join(meet(X_11,X_74),X_21),meet(join(X_74,X_21),X_76))
    | meet(join(meet(X_11,X_74),X_21),X_76) = meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74)))) ),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_11,X_74),X_21),meet(join(X_74,X_21),X_76)),meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74))))) )],[refute_0_1096,refute_0_1097]) ).

cnf(refute_0_1099,plain,
    meet(join(meet(X_11,X_74),X_21),X_76) = meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74)))),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_11,X_74),X_21),X_76),meet(join(meet(X_11,X_74),X_21),meet(join(X_74,X_21),X_76))) )],[refute_0_1080,refute_0_1098]) ).

cnf(refute_0_1100,plain,
    ( meet(join(meet(X_11,X_74),X_21),X_76) != meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74))))
    | meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74)))) = meet(join(meet(X_11,X_74),X_21),X_76) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(join(meet(X_11,X_74),X_21),X_76))),bind(Y0,$fot(meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74))))))]]) ).

cnf(refute_0_1101,plain,
    meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74)))) = meet(join(meet(X_11,X_74),X_21),X_76),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_11,X_74),X_21),X_76),meet(join(X_74,X_21),meet(X_76,join(X_21,meet(X_11,X_74))))) )],[refute_0_1099,refute_0_1100]) ).

cnf(refute_0_1102,plain,
    meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))) = meet(join(meet(X_109,Y),Z),X_109),
    inference(subst,[],[refute_0_1101:[bind(X_11,$fot(X_109)),bind(X_21,$fot(Z)),bind(X_74,$fot(Y)),bind(X_76,$fot(X_109))]]) ).

cnf(refute_0_1103,plain,
    ( meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))) != meet(join(meet(X_109,Y),Z),X_109)
    | meet(join(meet(X_109,Y),Z),X_109) != meet(X_109,join(Z,meet(X_109,Y)))
    | meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))) = meet(X_109,join(Z,meet(X_109,Y))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))))),bind(Y0,$fot(meet(join(meet(X_109,Y),Z),X_109))),bind(Z0,$fot(meet(X_109,join(Z,meet(X_109,Y)))))]]) ).

cnf(refute_0_1104,plain,
    ( meet(join(meet(X_109,Y),Z),X_109) != meet(X_109,join(Z,meet(X_109,Y)))
    | meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))) = meet(X_109,join(Z,meet(X_109,Y))) ),
    inference(resolve,[$cnf( $equal(meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))),meet(join(meet(X_109,Y),Z),X_109)) )],[refute_0_1102,refute_0_1103]) ).

cnf(refute_0_1105,plain,
    meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))) = meet(X_109,join(Z,meet(X_109,Y))),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_109,Y),Z),X_109),meet(X_109,join(Z,meet(X_109,Y)))) )],[refute_0_1068,refute_0_1104]) ).

cnf(refute_0_1106,plain,
    meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))) = meet(X_109,join(Z,meet(X_109,Y))),
    inference(subst,[],[refute_0_188:[bind(Y,$fot(meet(Y,Z))),bind(X_16,$fot(X_109)),bind(X_18,$fot(join(Z,meet(X_109,Y))))]]) ).

cnf(refute_0_1107,plain,
    meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) = meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))),
    introduced(tautology,[refl,[$fot(meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))))]]) ).

cnf(refute_0_1108,plain,
    ( meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))) != meet(X_109,join(Z,meet(X_109,Y)))
    | meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) != meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))))
    | meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) = meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))),meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))))) ),[1,1],$fot(meet(X_109,join(Z,meet(X_109,Y))))]]) ).

cnf(refute_0_1109,plain,
    ( meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))) != meet(X_109,join(Z,meet(X_109,Y)))
    | meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) = meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))) ),
    inference(resolve,[$cnf( $equal(meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))),meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))))) )],[refute_0_1107,refute_0_1108]) ).

cnf(refute_0_1110,plain,
    meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) = meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))),
    inference(resolve,[$cnf( $equal(meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))),meet(X_109,join(Z,meet(X_109,Y)))) )],[refute_0_1106,refute_0_1109]) ).

cnf(refute_0_1111,plain,
    ( meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))) != meet(X_109,join(Z,meet(X_109,Y)))
    | meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) != meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y))))
    | meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) = meet(X_109,join(Z,meet(X_109,Y))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))))),bind(Y0,$fot(meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))))),bind(Z0,$fot(meet(X_109,join(Z,meet(X_109,Y)))))]]) ).

cnf(refute_0_1112,plain,
    ( meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))) != meet(X_109,join(Z,meet(X_109,Y)))
    | meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) = meet(X_109,join(Z,meet(X_109,Y))) ),
    inference(resolve,[$cnf( $equal(meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))),meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y))))) )],[refute_0_1110,refute_0_1111]) ).

cnf(refute_0_1113,plain,
    meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) = meet(X_109,join(Z,meet(X_109,Y))),
    inference(resolve,[$cnf( $equal(meet(join(Y,Z),meet(X_109,join(Z,meet(X_109,Y)))),meet(X_109,join(Z,meet(X_109,Y)))) )],[refute_0_1105,refute_0_1112]) ).

cnf(refute_0_1114,plain,
    ( meet(X_109,join(Y,Z)) != meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))))
    | meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))) != meet(X_109,join(Z,meet(X_109,Y)))
    | meet(X_109,join(Y,Z)) = meet(X_109,join(Z,meet(X_109,Y))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_109,join(Y,Z)),meet(X_109,join(Z,meet(X_109,Y)))) ),[0],$fot(meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))))]]) ).

cnf(refute_0_1115,plain,
    ( meet(X_109,join(Y,Z)) != meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))))
    | meet(X_109,join(Y,Z)) = meet(X_109,join(Z,meet(X_109,Y))) ),
    inference(resolve,[$cnf( $equal(meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y))))),meet(X_109,join(Z,meet(X_109,Y)))) )],[refute_0_1113,refute_0_1114]) ).

cnf(refute_0_1116,plain,
    meet(X_109,join(Y,Z)) = meet(X_109,join(Z,meet(X_109,Y))),
    inference(resolve,[$cnf( $equal(meet(X_109,join(Y,Z)),meet(join(Y,Z),meet(X_109,meet(join(X_109,meet(Y,Z)),join(Z,meet(X_109,Y)))))) )],[refute_0_1067,refute_0_1115]) ).

cnf(refute_0_1117,plain,
    ( meet(X_109,join(Y,Z)) != meet(X_109,join(Z,meet(X_109,Y)))
    | meet(X_109,join(Z,meet(X_109,Y))) = meet(X_109,join(Y,Z)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_109,join(Y,Z)))),bind(Y0,$fot(meet(X_109,join(Z,meet(X_109,Y)))))]]) ).

cnf(refute_0_1118,plain,
    meet(X_109,join(Z,meet(X_109,Y))) = meet(X_109,join(Y,Z)),
    inference(resolve,[$cnf( $equal(meet(X_109,join(Y,Z)),meet(X_109,join(Z,meet(X_109,Y)))) )],[refute_0_1116,refute_0_1117]) ).

cnf(refute_0_1119,plain,
    meet(join(Y,X_120),join(X_120,meet(join(Y,X_120),X_118))) = meet(join(Y,X_120),join(X_118,X_120)),
    inference(subst,[],[refute_0_1118:[bind(Y,$fot(X_118)),bind(Z,$fot(X_120)),bind(X_109,$fot(join(Y,X_120)))]]) ).

cnf(refute_0_1120,plain,
    meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) = meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),X_68))),
    inference(subst,[],[refute_0_950:[bind(X_70,$fot(meet(X_109,join(meet(X_109,X_11),X_110))))]]) ).

cnf(refute_0_1121,plain,
    ( meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) != meet(X_109,X_11)
    | meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) != meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),X_68)))
    | meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) = meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),X_68)))) ),[1,1,1,0],$fot(meet(X_109,X_11))]]) ).

cnf(refute_0_1122,plain,
    ( meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) != meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),X_68)))
    | meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) = meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),meet(X_109,X_11)) )],[refute_0_953,refute_0_1121]) ).

cnf(refute_0_1123,plain,
    meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) = meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),X_68)))) )],[refute_0_1120,refute_0_1122]) ).

cnf(refute_0_1124,plain,
    ( meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) != meet(X_109,X_11)
    | meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) != meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68)))
    | meet(X_109,X_11) = meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68)))) ),[0],$fot(meet(X_109,X_11))]]) ).

cnf(refute_0_1125,plain,
    ( meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) != meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68)))
    | meet(X_109,X_11) = meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),meet(X_109,X_11)) )],[refute_0_953,refute_0_1124]) ).

cnf(refute_0_1126,plain,
    meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11))) = meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_109)),bind(Y,$fot(join(meet(X_109,X_11),X_110))),bind(Z,$fot(join(X_68,meet(X_109,X_11))))]]) ).

cnf(refute_0_1127,plain,
    meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))) = meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))),
    introduced(tautology,[refl,[$fot(meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))))]]) ).

cnf(refute_0_1128,plain,
    ( meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))) != meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11))))
    | meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11))) != meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))
    | meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))) = meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))),meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11))))) ),[1,1],$fot(meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))]]) ).

cnf(refute_0_1129,plain,
    ( meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11))) != meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))
    | meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))) = meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))),meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11))))) )],[refute_0_1127,refute_0_1128]) ).

cnf(refute_0_1130,plain,
    meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))) = meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))),
    inference(resolve,[$cnf( $equal(meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11))),meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) )],[refute_0_1126,refute_0_1129]) ).

cnf(refute_0_1131,plain,
    meet(X,meet(X_16,join(X_66,X_67))) = meet(X_16,meet(join(X_66,X_67),X)),
    inference(subst,[],[refute_0_175:[bind(X_17,$fot(join(X_66,X_67)))]]) ).

cnf(refute_0_1132,plain,
    meet(join(X_66,X_67),X) = meet(X,join(X_67,X_66)),
    inference(subst,[],[refute_0_349:[bind(X_16,$fot(X)),bind(X_63,$fot(X_66)),bind(X_64,$fot(X_67))]]) ).

cnf(refute_0_1133,plain,
    ( meet(X,meet(X_16,join(X_66,X_67))) != meet(X_16,meet(join(X_66,X_67),X))
    | meet(join(X_66,X_67),X) != meet(X,join(X_67,X_66))
    | meet(X,meet(X_16,join(X_66,X_67))) = meet(X_16,meet(X,join(X_67,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(X_16,join(X_66,X_67))),meet(X_16,meet(join(X_66,X_67),X))) ),[1,1],$fot(meet(X,join(X_67,X_66)))]]) ).

cnf(refute_0_1134,plain,
    ( meet(X,meet(X_16,join(X_66,X_67))) != meet(X_16,meet(join(X_66,X_67),X))
    | meet(X,meet(X_16,join(X_66,X_67))) = meet(X_16,meet(X,join(X_67,X_66))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_66,X_67),X),meet(X,join(X_67,X_66))) )],[refute_0_1132,refute_0_1133]) ).

cnf(refute_0_1135,plain,
    meet(X,meet(X_16,join(X_66,X_67))) = meet(X_16,meet(X,join(X_67,X_66))),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_16,join(X_66,X_67))),meet(X_16,meet(join(X_66,X_67),X))) )],[refute_0_1131,refute_0_1134]) ).

cnf(refute_0_1136,plain,
    ( meet(X,meet(X_16,join(X_66,X_67))) != meet(X_16,meet(X,join(X_67,X_66)))
    | meet(X_16,meet(X,join(X_67,X_66))) = meet(X,meet(X_16,join(X_66,X_67))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X,meet(X_16,join(X_66,X_67))))),bind(Y0,$fot(meet(X_16,meet(X,join(X_67,X_66)))))]]) ).

cnf(refute_0_1137,plain,
    meet(X_16,meet(X,join(X_67,X_66))) = meet(X,meet(X_16,join(X_66,X_67))),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_16,join(X_66,X_67))),meet(X_16,meet(X,join(X_67,X_66)))) )],[refute_0_1135,refute_0_1136]) ).

cnf(refute_0_1138,plain,
    meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))) = meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))),
    inference(subst,[],[refute_0_1137:[bind(X,$fot(X_11)),bind(X_16,$fot(meet(X_109,join(meet(X_109,X_11),X_110)))),bind(X_66,$fot(X_68)),bind(X_67,$fot(meet(X_109,X_11)))]]) ).

cnf(refute_0_1139,plain,
    ( meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))) != meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))
    | meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))) != meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11))))
    | meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))) = meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))))),bind(Y0,$fot(meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))))),bind(Z0,$fot(meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))))]]) ).

cnf(refute_0_1140,plain,
    ( meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))) != meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))
    | meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))) = meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))),meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11))))) )],[refute_0_1138,refute_0_1139]) ).

cnf(refute_0_1141,plain,
    meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))) = meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(meet(X_109,join(meet(X_109,X_11),X_110)),join(X_68,meet(X_109,X_11)))),meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))) )],[refute_0_1130,refute_0_1140]) ).

cnf(refute_0_1142,plain,
    ( meet(X_109,X_11) != meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68)))
    | meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))) != meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))
    | meet(X_109,X_11) = meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_109,X_11),meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))) ),[0],$fot(meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))))]]) ).

cnf(refute_0_1143,plain,
    ( meet(X_109,X_11) != meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68)))
    | meet(X_109,X_11) = meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68))),meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))) )],[refute_0_1141,refute_0_1142]) ).

cnf(refute_0_1144,plain,
    ( meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))) != meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68)))
    | meet(X_109,X_11) = meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) ),
    inference(resolve,[$cnf( $equal(meet(X_109,X_11),meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68)))) )],[refute_0_1125,refute_0_1143]) ).

cnf(refute_0_1145,plain,
    meet(X_109,X_11) = meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_109,join(meet(X_109,X_11),X_110))),meet(meet(X_109,join(meet(X_109,X_11),X_110)),meet(X_11,join(meet(X_109,X_11),X_68)))) )],[refute_0_1123,refute_0_1144]) ).

cnf(refute_0_1146,plain,
    meet(X_11,meet(X_109,join(X_68,meet(X_109,X_11)))) = meet(X_11,X_109),
    inference(subst,[],[refute_0_99:[bind(X_19,$fot(X_68)),bind(X_34,$fot(X_11)),bind(X_35,$fot(X_109))]]) ).

cnf(refute_0_1147,plain,
    meet(meet(X_86,X_88),Y) = meet(Y,meet(X_86,X_88)),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(meet(X_86,X_88)))]]) ).

cnf(refute_0_1148,plain,
    meet(Y,meet(X_86,X_88)) = meet(Y,meet(X_88,X_86)),
    inference(subst,[],[refute_0_206:[bind(Y,$fot(X_86)),bind(X_84,$fot(Y)),bind(X_85,$fot(X_88))]]) ).

cnf(refute_0_1149,plain,
    ( meet(Y,meet(X_86,X_88)) != meet(Y,meet(X_88,X_86))
    | meet(meet(X_86,X_88),Y) != meet(Y,meet(X_86,X_88))
    | meet(meet(X_86,X_88),Y) = meet(Y,meet(X_88,X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_86,X_88),Y),meet(Y,meet(X_86,X_88))) ),[1],$fot(meet(Y,meet(X_88,X_86)))]]) ).

cnf(refute_0_1150,plain,
    ( meet(meet(X_86,X_88),Y) != meet(Y,meet(X_86,X_88))
    | meet(meet(X_86,X_88),Y) = meet(Y,meet(X_88,X_86)) ),
    inference(resolve,[$cnf( $equal(meet(Y,meet(X_86,X_88)),meet(Y,meet(X_88,X_86))) )],[refute_0_1148,refute_0_1149]) ).

cnf(refute_0_1151,plain,
    meet(meet(X_86,X_88),Y) = meet(Y,meet(X_88,X_86)),
    inference(resolve,[$cnf( $equal(meet(meet(X_86,X_88),Y),meet(Y,meet(X_86,X_88))) )],[refute_0_1147,refute_0_1150]) ).

cnf(refute_0_1152,plain,
    meet(meet(X_86,X_88),Y) = meet(X_86,meet(X_88,Y)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_86)),bind(Y,$fot(X_88)),bind(Z,$fot(Y))]]) ).

cnf(refute_0_1153,plain,
    ( meet(meet(X_86,X_88),Y) != meet(Y,meet(X_88,X_86))
    | meet(meet(X_86,X_88),Y) != meet(X_86,meet(X_88,Y))
    | meet(X_86,meet(X_88,Y)) = meet(Y,meet(X_88,X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_86,X_88),Y),meet(Y,meet(X_88,X_86))) ),[0],$fot(meet(X_86,meet(X_88,Y)))]]) ).

cnf(refute_0_1154,plain,
    ( meet(meet(X_86,X_88),Y) != meet(Y,meet(X_88,X_86))
    | meet(X_86,meet(X_88,Y)) = meet(Y,meet(X_88,X_86)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_86,X_88),Y),meet(X_86,meet(X_88,Y))) )],[refute_0_1152,refute_0_1153]) ).

cnf(refute_0_1155,plain,
    meet(X_86,meet(X_88,Y)) = meet(Y,meet(X_88,X_86)),
    inference(resolve,[$cnf( $equal(meet(meet(X_86,X_88),Y),meet(Y,meet(X_88,X_86))) )],[refute_0_1151,refute_0_1154]) ).

cnf(refute_0_1156,plain,
    ( meet(X_86,meet(X_88,Y)) != meet(Y,meet(X_88,X_86))
    | meet(Y,meet(X_88,X_86)) = meet(X_86,meet(X_88,Y)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_86,meet(X_88,Y)))),bind(Y0,$fot(meet(Y,meet(X_88,X_86))))]]) ).

cnf(refute_0_1157,plain,
    meet(Y,meet(X_88,X_86)) = meet(X_86,meet(X_88,Y)),
    inference(resolve,[$cnf( $equal(meet(X_86,meet(X_88,Y)),meet(Y,meet(X_88,X_86))) )],[refute_0_1155,refute_0_1156]) ).

cnf(refute_0_1158,plain,
    meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)) = meet(X_11,meet(X_109,join(X_68,meet(X_109,X_11)))),
    inference(subst,[],[refute_0_1157:[bind(Y,$fot(join(X_68,meet(X_109,X_11)))),bind(X_86,$fot(X_11)),bind(X_88,$fot(X_109))]]) ).

cnf(refute_0_1159,plain,
    ( meet(X_11,meet(X_109,join(X_68,meet(X_109,X_11)))) != meet(X_11,X_109)
    | meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)) != meet(X_11,meet(X_109,join(X_68,meet(X_109,X_11))))
    | meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)) = meet(X_11,X_109) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)))),bind(Y0,$fot(meet(X_11,meet(X_109,join(X_68,meet(X_109,X_11)))))),bind(Z0,$fot(meet(X_11,X_109)))]]) ).

cnf(refute_0_1160,plain,
    ( meet(X_11,meet(X_109,join(X_68,meet(X_109,X_11)))) != meet(X_11,X_109)
    | meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)) = meet(X_11,X_109) ),
    inference(resolve,[$cnf( $equal(meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)),meet(X_11,meet(X_109,join(X_68,meet(X_109,X_11))))) )],[refute_0_1158,refute_0_1159]) ).

cnf(refute_0_1161,plain,
    meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)) = meet(X_11,X_109),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_109,join(X_68,meet(X_109,X_11)))),meet(X_11,X_109)) )],[refute_0_1146,refute_0_1160]) ).

cnf(refute_0_1162,plain,
    meet(X,meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110)))) = meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)),
    inference(subst,[],[refute_0_175:[bind(X_17,$fot(meet(X_109,join(meet(X_109,X_16),X_110))))]]) ).

cnf(refute_0_1163,plain,
    meet(X_109,X_16) = meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110))),
    inference(subst,[],[refute_0_950:[bind(X_11,$fot(X_109)),bind(X_68,$fot(X_110)),bind(X_70,$fot(X_16))]]) ).

cnf(refute_0_1164,plain,
    ( meet(X_109,X_16) != meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110)))
    | meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110))) = meet(X_109,X_16) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_109,X_16))),bind(Y0,$fot(meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110)))))]]) ).

cnf(refute_0_1165,plain,
    meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110))) = meet(X_109,X_16),
    inference(resolve,[$cnf( $equal(meet(X_109,X_16),meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110)))) )],[refute_0_1163,refute_0_1164]) ).

cnf(refute_0_1166,plain,
    ( meet(X,meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110)))) != meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X))
    | meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110))) != meet(X_109,X_16)
    | meet(X,meet(X_109,X_16)) = meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110)))),meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X))) ),[0,1],$fot(meet(X_109,X_16))]]) ).

cnf(refute_0_1167,plain,
    ( meet(X,meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110)))) != meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X))
    | meet(X,meet(X_109,X_16)) = meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110))),meet(X_109,X_16)) )],[refute_0_1165,refute_0_1166]) ).

cnf(refute_0_1168,plain,
    meet(X,meet(X_109,X_16)) = meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_16,meet(X_109,join(meet(X_109,X_16),X_110)))),meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X))) )],[refute_0_1162,refute_0_1167]) ).

cnf(refute_0_1169,plain,
    meet(meet(X_109,join(meet(X_109,X_16),X_110)),X) = meet(X_109,meet(join(meet(X_109,X_16),X_110),X)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_109)),bind(Y,$fot(join(meet(X_109,X_16),X_110))),bind(Z,$fot(X))]]) ).

cnf(refute_0_1170,plain,
    meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)) = meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)),
    introduced(tautology,[refl,[$fot(meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)))]]) ).

cnf(refute_0_1171,plain,
    ( meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)) != meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X))
    | meet(meet(X_109,join(meet(X_109,X_16),X_110)),X) != meet(X_109,meet(join(meet(X_109,X_16),X_110),X))
    | meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)) = meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)),meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X))) ),[1,1],$fot(meet(X_109,meet(join(meet(X_109,X_16),X_110),X)))]]) ).

cnf(refute_0_1172,plain,
    ( meet(meet(X_109,join(meet(X_109,X_16),X_110)),X) != meet(X_109,meet(join(meet(X_109,X_16),X_110),X))
    | meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)) = meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X))) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)),meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X))) )],[refute_0_1170,refute_0_1171]) ).

cnf(refute_0_1173,plain,
    meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)) = meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X))),
    inference(resolve,[$cnf( $equal(meet(meet(X_109,join(meet(X_109,X_16),X_110)),X),meet(X_109,meet(join(meet(X_109,X_16),X_110),X))) )],[refute_0_1169,refute_0_1172]) ).

cnf(refute_0_1174,plain,
    ( meet(X,meet(X_109,X_16)) != meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X))
    | meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)) != meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X)))
    | meet(X,meet(X_109,X_16)) = meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X,meet(X_109,X_16)),meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X)))) ),[0],$fot(meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)))]]) ).

cnf(refute_0_1175,plain,
    ( meet(X,meet(X_109,X_16)) != meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X))
    | meet(X,meet(X_109,X_16)) = meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X))) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X)),meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X)))) )],[refute_0_1173,refute_0_1174]) ).

cnf(refute_0_1176,plain,
    meet(X,meet(X_109,X_16)) = meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X))),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_109,X_16)),meet(X_16,meet(meet(X_109,join(meet(X_109,X_16),X_110)),X))) )],[refute_0_1168,refute_0_1175]) ).

cnf(refute_0_1177,plain,
    ( meet(X,meet(X_109,X_16)) != meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X)))
    | meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X))) = meet(X,meet(X_109,X_16)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X,meet(X_109,X_16)))),bind(Y0,$fot(meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X)))))]]) ).

cnf(refute_0_1178,plain,
    meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X))) = meet(X,meet(X_109,X_16)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_109,X_16)),meet(X_16,meet(X_109,meet(join(meet(X_109,X_16),X_110),X)))) )],[refute_0_1176,refute_0_1177]) ).

cnf(refute_0_1179,plain,
    meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) = meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)),
    inference(subst,[],[refute_0_1178:[bind(X,$fot(join(X_68,meet(X_109,X_11)))),bind(X_16,$fot(X_11))]]) ).

cnf(refute_0_1180,plain,
    ( meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) != meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11))
    | meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)) != meet(X_11,X_109)
    | meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) = meet(X_11,X_109) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))))),bind(Y0,$fot(meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)))),bind(Z0,$fot(meet(X_11,X_109)))]]) ).

cnf(refute_0_1181,plain,
    ( meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)) != meet(X_11,X_109)
    | meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) = meet(X_11,X_109) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))),meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11))) )],[refute_0_1179,refute_0_1180]) ).

cnf(refute_0_1182,plain,
    meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) = meet(X_11,X_109),
    inference(resolve,[$cnf( $equal(meet(join(X_68,meet(X_109,X_11)),meet(X_109,X_11)),meet(X_11,X_109)) )],[refute_0_1161,refute_0_1181]) ).

cnf(refute_0_1183,plain,
    ( meet(X_109,X_11) != meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))
    | meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))) != meet(X_11,X_109)
    | meet(X_109,X_11) = meet(X_11,X_109) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_109,X_11),meet(X_11,X_109)) ),[0],$fot(meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))))]]) ).

cnf(refute_0_1184,plain,
    ( meet(X_109,X_11) != meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))
    | meet(X_109,X_11) = meet(X_11,X_109) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11))))),meet(X_11,X_109)) )],[refute_0_1182,refute_0_1183]) ).

cnf(refute_0_1185,plain,
    meet(X_109,X_11) = meet(X_11,X_109),
    inference(resolve,[$cnf( $equal(meet(X_109,X_11),meet(X_11,meet(X_109,meet(join(meet(X_109,X_11),X_110),join(X_68,meet(X_109,X_11)))))) )],[refute_0_1145,refute_0_1184]) ).

cnf(refute_0_1186,plain,
    ( meet(X_109,X_11) != meet(X_11,X_109)
    | meet(X_11,X_109) = meet(X_109,X_11) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_109,X_11))),bind(Y0,$fot(meet(X_11,X_109)))]]) ).

cnf(refute_0_1187,plain,
    meet(X_11,X_109) = meet(X_109,X_11),
    inference(resolve,[$cnf( $equal(meet(X_109,X_11),meet(X_11,X_109)) )],[refute_0_1185,refute_0_1186]) ).

cnf(refute_0_1188,plain,
    meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) = meet(join(Y,X_120),join(X_120,meet(join(Y,X_120),X_118))),
    inference(subst,[],[refute_0_1187:[bind(X_109,$fot(join(Y,X_120))),bind(X_11,$fot(join(X_120,meet(join(Y,X_120),X_118))))]]) ).

cnf(refute_0_1189,plain,
    ( meet(join(Y,X_120),join(X_120,meet(join(Y,X_120),X_118))) != meet(join(Y,X_120),join(X_118,X_120))
    | meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) != meet(join(Y,X_120),join(X_120,meet(join(Y,X_120),X_118)))
    | meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) = meet(join(Y,X_120),join(X_118,X_120)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)))),bind(Y0,$fot(meet(join(Y,X_120),join(X_120,meet(join(Y,X_120),X_118))))),bind(Z0,$fot(meet(join(Y,X_120),join(X_118,X_120))))]]) ).

cnf(refute_0_1190,plain,
    ( meet(join(Y,X_120),join(X_120,meet(join(Y,X_120),X_118))) != meet(join(Y,X_120),join(X_118,X_120))
    | meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) = meet(join(Y,X_120),join(X_118,X_120)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)),meet(join(Y,X_120),join(X_120,meet(join(Y,X_120),X_118)))) )],[refute_0_1188,refute_0_1189]) ).

cnf(refute_0_1191,plain,
    meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) = meet(join(Y,X_120),join(X_118,X_120)),
    inference(resolve,[$cnf( $equal(meet(join(Y,X_120),join(X_120,meet(join(Y,X_120),X_118))),meet(join(Y,X_120),join(X_118,X_120))) )],[refute_0_1119,refute_0_1190]) ).

cnf(refute_0_1192,plain,
    ( meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) != join(X_120,meet(join(Y,X_120),X_118))
    | meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) != meet(join(Y,X_120),join(X_118,X_120))
    | meet(join(Y,X_120),join(X_118,X_120)) = join(X_120,meet(join(Y,X_120),X_118)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)),join(X_120,meet(join(Y,X_120),X_118))) ),[0],$fot(meet(join(Y,X_120),join(X_118,X_120)))]]) ).

cnf(refute_0_1193,plain,
    ( meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)) != join(X_120,meet(join(Y,X_120),X_118))
    | meet(join(Y,X_120),join(X_118,X_120)) = join(X_120,meet(join(Y,X_120),X_118)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)),meet(join(Y,X_120),join(X_118,X_120))) )],[refute_0_1191,refute_0_1192]) ).

cnf(refute_0_1194,plain,
    meet(join(Y,X_120),join(X_118,X_120)) = join(X_120,meet(join(Y,X_120),X_118)),
    inference(resolve,[$cnf( $equal(meet(join(X_120,meet(join(Y,X_120),X_118)),join(Y,X_120)),join(X_120,meet(join(Y,X_120),X_118))) )],[refute_0_1060,refute_0_1193]) ).

cnf(refute_0_1195,plain,
    meet(join(X_39,X_40),join(Y,X_40)) = join(X_40,meet(join(X_39,X_40),Y)),
    inference(subst,[],[refute_0_1194:[bind(Y,$fot(X_39)),bind(X_118,$fot(Y)),bind(X_120,$fot(X_40))]]) ).

cnf(refute_0_1196,plain,
    ( meet(join(X_39,X_40),join(Y,X_40)) != join(X_40,meet(join(X_39,X_40),Y))
    | meet(join(X_39,X_40),join(Y,X_40)) != join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))
    | join(X_40,meet(join(X_39,X_40),Y)) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,X_40),join(Y,X_40)),join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))) ),[0],$fot(join(X_40,meet(join(X_39,X_40),Y)))]]) ).

cnf(refute_0_1197,plain,
    ( meet(join(X_39,X_40),join(Y,X_40)) != join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))
    | join(X_40,meet(join(X_39,X_40),Y)) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,X_40),join(Y,X_40)),join(X_40,meet(join(X_39,X_40),Y))) )],[refute_0_1195,refute_0_1196]) ).

cnf(refute_0_1198,plain,
    join(X_40,meet(join(X_39,X_40),Y)) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,X_40),join(Y,X_40)),join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))) )],[refute_0_1050,refute_0_1197]) ).

cnf(refute_0_1199,plain,
    join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y))) = meet(join(X_40,Y),X_39),
    inference(subst,[],[refute_0_91:[bind(X_11,$fot(X_39)),bind(X_15,$fot(join(X_40,Y)))]]) ).

cnf(refute_0_1200,plain,
    join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))) = join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))),
    introduced(tautology,[refl,[$fot(join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))))]]) ).

cnf(refute_0_1201,plain,
    ( join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))) != join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y))))
    | join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y))) != meet(join(X_40,Y),X_39)
    | join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))) = join(X_40,meet(join(X_40,Y),X_39)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))),join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y))))) ),[1,1],$fot(meet(join(X_40,Y),X_39))]]) ).

cnf(refute_0_1202,plain,
    ( join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y))) != meet(join(X_40,Y),X_39)
    | join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))) = join(X_40,meet(join(X_40,Y),X_39)) ),
    inference(resolve,[$cnf( $equal(join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))),join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y))))) )],[refute_0_1200,refute_0_1201]) ).

cnf(refute_0_1203,plain,
    join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))) = join(X_40,meet(join(X_40,Y),X_39)),
    inference(resolve,[$cnf( $equal(join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y))),meet(join(X_40,Y),X_39)) )],[refute_0_1199,refute_0_1202]) ).

cnf(refute_0_1204,plain,
    join(join(meet(X_140,X_141),Y),Z) = join(meet(X_140,X_141),join(Y,Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_140,X_141)))]]) ).

cnf(refute_0_1205,plain,
    join(meet(X_140,X_141),Y) = join(Y,meet(X_141,X_140)),
    inference(subst,[],[refute_0_659:[bind(X_136,$fot(Y)),bind(X_137,$fot(X_140)),bind(X_138,$fot(X_141))]]) ).

cnf(refute_0_1206,plain,
    ( join(join(meet(X_140,X_141),Y),Z) != join(meet(X_140,X_141),join(Y,Z))
    | join(meet(X_140,X_141),Y) != join(Y,meet(X_141,X_140))
    | join(join(Y,meet(X_141,X_140)),Z) = join(meet(X_140,X_141),join(Y,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_140,X_141),Y),Z),join(meet(X_140,X_141),join(Y,Z))) ),[0,0],$fot(join(Y,meet(X_141,X_140)))]]) ).

cnf(refute_0_1207,plain,
    ( join(join(meet(X_140,X_141),Y),Z) != join(meet(X_140,X_141),join(Y,Z))
    | join(join(Y,meet(X_141,X_140)),Z) = join(meet(X_140,X_141),join(Y,Z)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_140,X_141),Y),join(Y,meet(X_141,X_140))) )],[refute_0_1205,refute_0_1206]) ).

cnf(refute_0_1208,plain,
    join(join(Y,meet(X_141,X_140)),Z) = join(meet(X_140,X_141),join(Y,Z)),
    inference(resolve,[$cnf( $equal(join(join(meet(X_140,X_141),Y),Z),join(meet(X_140,X_141),join(Y,Z))) )],[refute_0_1204,refute_0_1207]) ).

cnf(refute_0_1209,plain,
    join(join(Y,meet(X_141,X_140)),Z) = join(Y,join(meet(X_141,X_140),Z)),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(Y)),bind(Y,$fot(meet(X_141,X_140)))]]) ).

cnf(refute_0_1210,plain,
    ( join(join(Y,meet(X_141,X_140)),Z) != join(Y,join(meet(X_141,X_140),Z))
    | join(join(Y,meet(X_141,X_140)),Z) != join(meet(X_140,X_141),join(Y,Z))
    | join(Y,join(meet(X_141,X_140),Z)) = join(meet(X_140,X_141),join(Y,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(Y,meet(X_141,X_140)),Z),join(meet(X_140,X_141),join(Y,Z))) ),[0],$fot(join(Y,join(meet(X_141,X_140),Z)))]]) ).

cnf(refute_0_1211,plain,
    ( join(join(Y,meet(X_141,X_140)),Z) != join(meet(X_140,X_141),join(Y,Z))
    | join(Y,join(meet(X_141,X_140),Z)) = join(meet(X_140,X_141),join(Y,Z)) ),
    inference(resolve,[$cnf( $equal(join(join(Y,meet(X_141,X_140)),Z),join(Y,join(meet(X_141,X_140),Z))) )],[refute_0_1209,refute_0_1210]) ).

cnf(refute_0_1212,plain,
    join(Y,join(meet(X_141,X_140),Z)) = join(meet(X_140,X_141),join(Y,Z)),
    inference(resolve,[$cnf( $equal(join(join(Y,meet(X_141,X_140)),Z),join(meet(X_140,X_141),join(Y,Z))) )],[refute_0_1208,refute_0_1211]) ).

cnf(refute_0_1213,plain,
    ( join(Y,join(meet(X_141,X_140),Z)) != join(meet(X_140,X_141),join(Y,Z))
    | join(meet(X_140,X_141),join(Y,Z)) = join(Y,join(meet(X_141,X_140),Z)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(Y,join(meet(X_141,X_140),Z)))),bind(Y0,$fot(join(meet(X_140,X_141),join(Y,Z))))]]) ).

cnf(refute_0_1214,plain,
    join(meet(X_140,X_141),join(Y,Z)) = join(Y,join(meet(X_141,X_140),Z)),
    inference(resolve,[$cnf( $equal(join(Y,join(meet(X_141,X_140),Z)),join(meet(X_140,X_141),join(Y,Z))) )],[refute_0_1212,refute_0_1213]) ).

cnf(refute_0_1215,plain,
    join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))) = join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))),
    inference(subst,[],[refute_0_1214:[bind(Y,$fot(X_40)),bind(Z,$fot(meet(X_39,join(X_40,Y)))),bind(X_140,$fot(X_39)),bind(X_141,$fot(join(X_40,Y)))]]) ).

cnf(refute_0_1216,plain,
    ( join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))) != join(X_40,meet(join(X_40,Y),X_39))
    | join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))) != join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y))))
    | join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))) = join(X_40,meet(join(X_40,Y),X_39)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))))),bind(Y0,$fot(join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))))),bind(Z0,$fot(join(X_40,meet(join(X_40,Y),X_39))))]]) ).

cnf(refute_0_1217,plain,
    ( join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))) != join(X_40,meet(join(X_40,Y),X_39))
    | join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))) = join(X_40,meet(join(X_40,Y),X_39)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))),join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y))))) )],[refute_0_1215,refute_0_1216]) ).

cnf(refute_0_1218,plain,
    join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))) = join(X_40,meet(join(X_40,Y),X_39)),
    inference(resolve,[$cnf( $equal(join(X_40,join(meet(join(X_40,Y),X_39),meet(X_39,join(X_40,Y)))),join(X_40,meet(join(X_40,Y),X_39))) )],[refute_0_1203,refute_0_1217]) ).

cnf(refute_0_1219,plain,
    meet(join(X_31,X_33),join(Y,join(X_31,X_33))) = join(X_31,X_33),
    inference(subst,[],[refute_0_37:[bind(X,$fot(join(X_31,X_33)))]]) ).

cnf(refute_0_1220,plain,
    join(Y,join(X_31,X_33)) = join(X_31,join(Y,X_33)),
    inference(subst,[],[refute_0_369:[bind(X_19,$fot(X_31)),bind(X_20,$fot(Y)),bind(X_21,$fot(X_33))]]) ).

cnf(refute_0_1221,plain,
    ( join(Y,join(X_31,X_33)) != join(X_31,join(Y,X_33))
    | meet(join(X_31,X_33),join(Y,join(X_31,X_33))) != join(X_31,X_33)
    | meet(join(X_31,X_33),join(X_31,join(Y,X_33))) = join(X_31,X_33) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_31,X_33),join(Y,join(X_31,X_33))),join(X_31,X_33)) ),[0,1],$fot(join(X_31,join(Y,X_33)))]]) ).

cnf(refute_0_1222,plain,
    ( meet(join(X_31,X_33),join(Y,join(X_31,X_33))) != join(X_31,X_33)
    | meet(join(X_31,X_33),join(X_31,join(Y,X_33))) = join(X_31,X_33) ),
    inference(resolve,[$cnf( $equal(join(Y,join(X_31,X_33)),join(X_31,join(Y,X_33))) )],[refute_0_1220,refute_0_1221]) ).

cnf(refute_0_1223,plain,
    meet(join(X_31,X_33),join(X_31,join(Y,X_33))) = join(X_31,X_33),
    inference(resolve,[$cnf( $equal(meet(join(X_31,X_33),join(Y,join(X_31,X_33))),join(X_31,X_33)) )],[refute_0_1219,refute_0_1222]) ).

cnf(refute_0_1224,plain,
    meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,join(X_142,meet(X_11,join(X_143,X_142))))) = join(X_143,meet(X_11,join(X_143,X_142))),
    inference(subst,[],[refute_0_1223:[bind(Y,$fot(X_142)),bind(X_31,$fot(X_143)),bind(X_33,$fot(meet(X_11,join(X_143,X_142))))]]) ).

cnf(refute_0_1225,plain,
    join(X_143,join(X_142,meet(X_11,join(X_143,X_142)))) = join(X_143,X_142),
    inference(subst,[],[refute_0_625:[bind(X_19,$fot(X_143)),bind(X_20,$fot(X_142))]]) ).

cnf(refute_0_1226,plain,
    ( join(X_143,join(X_142,meet(X_11,join(X_143,X_142)))) != join(X_143,X_142)
    | meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,join(X_142,meet(X_11,join(X_143,X_142))))) != join(X_143,meet(X_11,join(X_143,X_142)))
    | meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) = join(X_143,meet(X_11,join(X_143,X_142))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,join(X_142,meet(X_11,join(X_143,X_142))))),join(X_143,meet(X_11,join(X_143,X_142)))) ),[0,1],$fot(join(X_143,X_142))]]) ).

cnf(refute_0_1227,plain,
    ( meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,join(X_142,meet(X_11,join(X_143,X_142))))) != join(X_143,meet(X_11,join(X_143,X_142)))
    | meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) = join(X_143,meet(X_11,join(X_143,X_142))) ),
    inference(resolve,[$cnf( $equal(join(X_143,join(X_142,meet(X_11,join(X_143,X_142)))),join(X_143,X_142)) )],[refute_0_1225,refute_0_1226]) ).

cnf(refute_0_1228,plain,
    meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) = join(X_143,meet(X_11,join(X_143,X_142))),
    inference(resolve,[$cnf( $equal(meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,join(X_142,meet(X_11,join(X_143,X_142))))),join(X_143,meet(X_11,join(X_143,X_142)))) )],[refute_0_1224,refute_0_1227]) ).

cnf(refute_0_1229,plain,
    meet(join(X_143,X_142),join(X_143,meet(join(X_143,X_142),X_11))) = meet(join(X_143,X_142),join(X_11,X_143)),
    inference(subst,[],[refute_0_1118:[bind(Y,$fot(X_11)),bind(Z,$fot(X_143)),bind(X_109,$fot(join(X_143,X_142)))]]) ).

cnf(refute_0_1230,plain,
    meet(join(X_63,meet(X_140,X_141)),X_16) = meet(X_16,join(meet(X_140,X_141),X_63)),
    inference(subst,[],[refute_0_349:[bind(X_64,$fot(meet(X_140,X_141)))]]) ).

cnf(refute_0_1231,plain,
    join(meet(X_140,X_141),X_63) = join(X_63,meet(X_141,X_140)),
    inference(subst,[],[refute_0_659:[bind(X_136,$fot(X_63)),bind(X_137,$fot(X_140)),bind(X_138,$fot(X_141))]]) ).

cnf(refute_0_1232,plain,
    ( join(meet(X_140,X_141),X_63) != join(X_63,meet(X_141,X_140))
    | meet(join(X_63,meet(X_140,X_141)),X_16) != meet(X_16,join(meet(X_140,X_141),X_63))
    | meet(join(X_63,meet(X_140,X_141)),X_16) = meet(X_16,join(X_63,meet(X_141,X_140))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_63,meet(X_140,X_141)),X_16),meet(X_16,join(meet(X_140,X_141),X_63))) ),[1,1],$fot(join(X_63,meet(X_141,X_140)))]]) ).

cnf(refute_0_1233,plain,
    ( meet(join(X_63,meet(X_140,X_141)),X_16) != meet(X_16,join(meet(X_140,X_141),X_63))
    | meet(join(X_63,meet(X_140,X_141)),X_16) = meet(X_16,join(X_63,meet(X_141,X_140))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_140,X_141),X_63),join(X_63,meet(X_141,X_140))) )],[refute_0_1231,refute_0_1232]) ).

cnf(refute_0_1234,plain,
    meet(join(X_63,meet(X_140,X_141)),X_16) = meet(X_16,join(X_63,meet(X_141,X_140))),
    inference(resolve,[$cnf( $equal(meet(join(X_63,meet(X_140,X_141)),X_16),meet(X_16,join(meet(X_140,X_141),X_63))) )],[refute_0_1230,refute_0_1233]) ).

cnf(refute_0_1235,plain,
    meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) = meet(join(X_143,X_142),join(X_143,meet(join(X_143,X_142),X_11))),
    inference(subst,[],[refute_0_1234:[bind(X_140,$fot(X_11)),bind(X_141,$fot(join(X_143,X_142))),bind(X_16,$fot(join(X_143,X_142))),bind(X_63,$fot(X_143))]]) ).

cnf(refute_0_1236,plain,
    ( meet(join(X_143,X_142),join(X_143,meet(join(X_143,X_142),X_11))) != meet(join(X_143,X_142),join(X_11,X_143))
    | meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) != meet(join(X_143,X_142),join(X_143,meet(join(X_143,X_142),X_11)))
    | meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) = meet(join(X_143,X_142),join(X_11,X_143)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)))),bind(Y0,$fot(meet(join(X_143,X_142),join(X_143,meet(join(X_143,X_142),X_11))))),bind(Z0,$fot(meet(join(X_143,X_142),join(X_11,X_143))))]]) ).

cnf(refute_0_1237,plain,
    ( meet(join(X_143,X_142),join(X_143,meet(join(X_143,X_142),X_11))) != meet(join(X_143,X_142),join(X_11,X_143))
    | meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) = meet(join(X_143,X_142),join(X_11,X_143)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)),meet(join(X_143,X_142),join(X_143,meet(join(X_143,X_142),X_11)))) )],[refute_0_1235,refute_0_1236]) ).

cnf(refute_0_1238,plain,
    meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) = meet(join(X_143,X_142),join(X_11,X_143)),
    inference(resolve,[$cnf( $equal(meet(join(X_143,X_142),join(X_143,meet(join(X_143,X_142),X_11))),meet(join(X_143,X_142),join(X_11,X_143))) )],[refute_0_1229,refute_0_1237]) ).

cnf(refute_0_1239,plain,
    ( meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) != join(X_143,meet(X_11,join(X_143,X_142)))
    | meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) != meet(join(X_143,X_142),join(X_11,X_143))
    | meet(join(X_143,X_142),join(X_11,X_143)) = join(X_143,meet(X_11,join(X_143,X_142))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)),join(X_143,meet(X_11,join(X_143,X_142)))) ),[0],$fot(meet(join(X_143,X_142),join(X_11,X_143)))]]) ).

cnf(refute_0_1240,plain,
    ( meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)) != join(X_143,meet(X_11,join(X_143,X_142)))
    | meet(join(X_143,X_142),join(X_11,X_143)) = join(X_143,meet(X_11,join(X_143,X_142))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)),meet(join(X_143,X_142),join(X_11,X_143))) )],[refute_0_1238,refute_0_1239]) ).

cnf(refute_0_1241,plain,
    meet(join(X_143,X_142),join(X_11,X_143)) = join(X_143,meet(X_11,join(X_143,X_142))),
    inference(resolve,[$cnf( $equal(meet(join(X_143,meet(X_11,join(X_143,X_142))),join(X_143,X_142)),join(X_143,meet(X_11,join(X_143,X_142)))) )],[refute_0_1228,refute_0_1240]) ).

cnf(refute_0_1242,plain,
    meet(join(X_40,Y),join(X_39,X_40)) = join(X_40,meet(X_39,join(X_40,Y))),
    inference(subst,[],[refute_0_1241:[bind(X_11,$fot(X_39)),bind(X_142,$fot(Y)),bind(X_143,$fot(X_40))]]) ).

cnf(refute_0_1243,plain,
    join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) = join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))),
    introduced(tautology,[refl,[$fot(join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))))]]) ).

cnf(refute_0_1244,plain,
    ( join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) != join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))
    | meet(join(X_40,Y),join(X_39,X_40)) != join(X_40,meet(X_39,join(X_40,Y)))
    | join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) = join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))),join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))) ),[1,1],$fot(join(X_40,meet(X_39,join(X_40,Y))))]]) ).

cnf(refute_0_1245,plain,
    ( meet(join(X_40,Y),join(X_39,X_40)) != join(X_40,meet(X_39,join(X_40,Y)))
    | join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) = join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))),join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))) )],[refute_0_1243,refute_0_1244]) ).

cnf(refute_0_1246,plain,
    join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) = join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))),
    inference(resolve,[$cnf( $equal(meet(join(X_40,Y),join(X_39,X_40)),join(X_40,meet(X_39,join(X_40,Y)))) )],[refute_0_1242,refute_0_1245]) ).

cnf(refute_0_1247,plain,
    ( join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))) != join(X_40,meet(join(X_40,Y),X_39))
    | join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) != join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y))))
    | join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) = join(X_40,meet(join(X_40,Y),X_39)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))))),bind(Y0,$fot(join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))))),bind(Z0,$fot(join(X_40,meet(join(X_40,Y),X_39))))]]) ).

cnf(refute_0_1248,plain,
    ( join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))) != join(X_40,meet(join(X_40,Y),X_39))
    | join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) = join(X_40,meet(join(X_40,Y),X_39)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))),join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y))))) )],[refute_0_1246,refute_0_1247]) ).

cnf(refute_0_1249,plain,
    join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) = join(X_40,meet(join(X_40,Y),X_39)),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,Y)),join(X_40,meet(X_39,join(X_40,Y)))),join(X_40,meet(join(X_40,Y),X_39))) )],[refute_0_1218,refute_0_1248]) ).

cnf(refute_0_1250,plain,
    ( join(X_40,meet(join(X_39,X_40),Y)) != join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))
    | join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))) != join(X_40,meet(join(X_40,Y),X_39))
    | join(X_40,meet(join(X_39,X_40),Y)) = join(X_40,meet(join(X_40,Y),X_39)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_40,meet(join(X_39,X_40),Y)),join(X_40,meet(join(X_40,Y),X_39))) ),[0],$fot(join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))))]]) ).

cnf(refute_0_1251,plain,
    ( join(X_40,meet(join(X_39,X_40),Y)) != join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))
    | join(X_40,meet(join(X_39,X_40),Y)) = join(X_40,meet(join(X_40,Y),X_39)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40))),join(X_40,meet(join(X_40,Y),X_39))) )],[refute_0_1249,refute_0_1250]) ).

cnf(refute_0_1252,plain,
    join(X_40,meet(join(X_39,X_40),Y)) = join(X_40,meet(join(X_40,Y),X_39)),
    inference(resolve,[$cnf( $equal(join(X_40,meet(join(X_39,X_40),Y)),join(meet(X_39,join(X_40,Y)),meet(join(X_40,Y),join(X_39,X_40)))) )],[refute_0_1198,refute_0_1251]) ).

cnf(refute_0_1253,plain,
    join(X_21,meet(join(X_168,X_21),X_167)) = join(X_21,meet(join(X_21,X_167),X_168)),
    inference(subst,[],[refute_0_1252:[bind(Y,$fot(X_167)),bind(X_39,$fot(X_168)),bind(X_40,$fot(X_21))]]) ).

cnf(refute_0_1254,plain,
    ( join(X_21,meet(join(X_168,X_21),X_167)) != join(X_21,meet(join(X_21,X_167),X_168))
    | join(X_21,meet(join(X_21,X_167),X_168)) = join(X_21,meet(join(X_168,X_21),X_167)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_21,meet(join(X_168,X_21),X_167)))),bind(Y0,$fot(join(X_21,meet(join(X_21,X_167),X_168))))]]) ).

cnf(refute_0_1255,plain,
    join(X_21,meet(join(X_21,X_167),X_168)) = join(X_21,meet(join(X_168,X_21),X_167)),
    inference(resolve,[$cnf( $equal(join(X_21,meet(join(X_168,X_21),X_167)),join(X_21,meet(join(X_21,X_167),X_168))) )],[refute_0_1253,refute_0_1254]) ).

cnf(refute_0_1256,plain,
    ( join(X_21,meet(join(X_21,X_167),X_168)) != join(X_21,meet(join(X_168,X_21),X_167))
    | meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_21,X_167),X_168)))) != join(meet(join(X_21,X_167),X_168),join(X_20,X_21))
    | meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))) = join(meet(join(X_21,X_167),X_168),join(X_20,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_21,X_167),X_168)))),join(meet(join(X_21,X_167),X_168),join(X_20,X_21))) ),[0,1,1],$fot(join(X_21,meet(join(X_168,X_21),X_167)))]]) ).

cnf(refute_0_1257,plain,
    ( meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_21,X_167),X_168)))) != join(meet(join(X_21,X_167),X_168),join(X_20,X_21))
    | meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))) = join(meet(join(X_21,X_167),X_168),join(X_20,X_21)) ),
    inference(resolve,[$cnf( $equal(join(X_21,meet(join(X_21,X_167),X_168)),join(X_21,meet(join(X_168,X_21),X_167))) )],[refute_0_1255,refute_0_1256]) ).

cnf(refute_0_1258,plain,
    meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))) = join(meet(join(X_21,X_167),X_168),join(X_20,X_21)),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_21,X_167),X_168)))),join(meet(join(X_21,X_167),X_168),join(X_20,X_21))) )],[refute_0_1001,refute_0_1257]) ).

cnf(refute_0_1259,plain,
    meet(meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))),Z) = meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(join(X_161,join(X_163,X_162)))),bind(Y,$fot(join(X_161,join(X_162,X_163))))]]) ).

cnf(refute_0_1260,plain,
    meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))) = join(X_163,join(X_161,X_162)),
    inference(subst,[],[refute_0_586:[bind(X_20,$fot(X_161)),bind(X_21,$fot(X_162)),bind(X_64,$fot(X_163))]]) ).

cnf(refute_0_1261,plain,
    ( meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))) != join(X_163,join(X_161,X_162))
    | meet(meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))),Z) != meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z))
    | meet(join(X_163,join(X_161,X_162)),Z) = meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))),Z),meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z))) ),[0,0],$fot(join(X_163,join(X_161,X_162)))]]) ).

cnf(refute_0_1262,plain,
    ( meet(meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))),Z) != meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z))
    | meet(join(X_163,join(X_161,X_162)),Z) = meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))),join(X_163,join(X_161,X_162))) )],[refute_0_1260,refute_0_1261]) ).

cnf(refute_0_1263,plain,
    meet(join(X_163,join(X_161,X_162)),Z) = meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z)),
    inference(resolve,[$cnf( $equal(meet(meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))),Z),meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z))) )],[refute_0_1259,refute_0_1262]) ).

cnf(refute_0_1264,plain,
    meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))) = meet(X_16,meet(X_17,meet(join(X_74,X_17),X_76))),
    inference(subst,[],[refute_0_259:[bind(X_18,$fot(meet(join(X_74,X_17),X_76)))]]) ).

cnf(refute_0_1265,plain,
    meet(X_17,X_76) = meet(X_17,meet(join(X_74,X_17),X_76)),
    inference(subst,[],[refute_0_1073:[bind(Y,$fot(X_74)),bind(X_16,$fot(X_17)),bind(X_18,$fot(X_76))]]) ).

cnf(refute_0_1266,plain,
    ( meet(X_17,X_76) != meet(X_17,meet(join(X_74,X_17),X_76))
    | meet(X_17,meet(join(X_74,X_17),X_76)) = meet(X_17,X_76) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_17,X_76))),bind(Y0,$fot(meet(X_17,meet(join(X_74,X_17),X_76))))]]) ).

cnf(refute_0_1267,plain,
    meet(X_17,meet(join(X_74,X_17),X_76)) = meet(X_17,X_76),
    inference(resolve,[$cnf( $equal(meet(X_17,X_76),meet(X_17,meet(join(X_74,X_17),X_76))) )],[refute_0_1265,refute_0_1266]) ).

cnf(refute_0_1268,plain,
    ( meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))) != meet(X_16,meet(X_17,meet(join(X_74,X_17),X_76)))
    | meet(X_17,meet(join(X_74,X_17),X_76)) != meet(X_17,X_76)
    | meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))) = meet(X_16,meet(X_17,X_76)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))),meet(X_16,meet(X_17,meet(join(X_74,X_17),X_76)))) ),[1,1],$fot(meet(X_17,X_76))]]) ).

cnf(refute_0_1269,plain,
    ( meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))) != meet(X_16,meet(X_17,meet(join(X_74,X_17),X_76)))
    | meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))) = meet(X_16,meet(X_17,X_76)) ),
    inference(resolve,[$cnf( $equal(meet(X_17,meet(join(X_74,X_17),X_76)),meet(X_17,X_76)) )],[refute_0_1267,refute_0_1268]) ).

cnf(refute_0_1270,plain,
    meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))) = meet(X_16,meet(X_17,X_76)),
    inference(resolve,[$cnf( $equal(meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))),meet(X_16,meet(X_17,meet(join(X_74,X_17),X_76)))) )],[refute_0_1264,refute_0_1269]) ).

cnf(refute_0_1271,plain,
    meet(X,meet(X_16,meet(X_60,join(X_61,X_16)))) = meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)),
    inference(subst,[],[refute_0_175:[bind(X_17,$fot(meet(X_60,join(X_61,X_16))))]]) ).

cnf(refute_0_1272,plain,
    meet(X_16,meet(X_60,join(X_61,X_16))) = meet(X_16,X_60),
    inference(subst,[],[refute_0_340:[bind(Y,$fot(X_60)),bind(X_25,$fot(X_61)),bind(X_26,$fot(X_16))]]) ).

cnf(refute_0_1273,plain,
    ( meet(X,meet(X_16,meet(X_60,join(X_61,X_16)))) != meet(X_16,meet(meet(X_60,join(X_61,X_16)),X))
    | meet(X_16,meet(X_60,join(X_61,X_16))) != meet(X_16,X_60)
    | meet(X,meet(X_16,X_60)) = meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(X_16,meet(X_60,join(X_61,X_16)))),meet(X_16,meet(meet(X_60,join(X_61,X_16)),X))) ),[0,1],$fot(meet(X_16,X_60))]]) ).

cnf(refute_0_1274,plain,
    ( meet(X,meet(X_16,meet(X_60,join(X_61,X_16)))) != meet(X_16,meet(meet(X_60,join(X_61,X_16)),X))
    | meet(X,meet(X_16,X_60)) = meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(X_60,join(X_61,X_16))),meet(X_16,X_60)) )],[refute_0_1272,refute_0_1273]) ).

cnf(refute_0_1275,plain,
    meet(X,meet(X_16,X_60)) = meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_16,meet(X_60,join(X_61,X_16)))),meet(X_16,meet(meet(X_60,join(X_61,X_16)),X))) )],[refute_0_1271,refute_0_1274]) ).

cnf(refute_0_1276,plain,
    meet(meet(X_60,join(X_61,X_16)),X) = meet(X_60,meet(join(X_61,X_16),X)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_60)),bind(Y,$fot(join(X_61,X_16))),bind(Z,$fot(X))]]) ).

cnf(refute_0_1277,plain,
    meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)) = meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)),
    introduced(tautology,[refl,[$fot(meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)))]]) ).

cnf(refute_0_1278,plain,
    ( meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)) != meet(X_16,meet(meet(X_60,join(X_61,X_16)),X))
    | meet(meet(X_60,join(X_61,X_16)),X) != meet(X_60,meet(join(X_61,X_16),X))
    | meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)) = meet(X_16,meet(X_60,meet(join(X_61,X_16),X))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)),meet(X_16,meet(meet(X_60,join(X_61,X_16)),X))) ),[1,1],$fot(meet(X_60,meet(join(X_61,X_16),X)))]]) ).

cnf(refute_0_1279,plain,
    ( meet(meet(X_60,join(X_61,X_16)),X) != meet(X_60,meet(join(X_61,X_16),X))
    | meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)) = meet(X_16,meet(X_60,meet(join(X_61,X_16),X))) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)),meet(X_16,meet(meet(X_60,join(X_61,X_16)),X))) )],[refute_0_1277,refute_0_1278]) ).

cnf(refute_0_1280,plain,
    meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)) = meet(X_16,meet(X_60,meet(join(X_61,X_16),X))),
    inference(resolve,[$cnf( $equal(meet(meet(X_60,join(X_61,X_16)),X),meet(X_60,meet(join(X_61,X_16),X))) )],[refute_0_1276,refute_0_1279]) ).

cnf(refute_0_1281,plain,
    ( meet(X,meet(X_16,X_60)) != meet(X_16,meet(meet(X_60,join(X_61,X_16)),X))
    | meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)) != meet(X_16,meet(X_60,meet(join(X_61,X_16),X)))
    | meet(X,meet(X_16,X_60)) = meet(X_16,meet(X_60,meet(join(X_61,X_16),X))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X,meet(X_16,X_60)),meet(X_16,meet(X_60,meet(join(X_61,X_16),X)))) ),[0],$fot(meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)))]]) ).

cnf(refute_0_1282,plain,
    ( meet(X,meet(X_16,X_60)) != meet(X_16,meet(meet(X_60,join(X_61,X_16)),X))
    | meet(X,meet(X_16,X_60)) = meet(X_16,meet(X_60,meet(join(X_61,X_16),X))) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(meet(X_60,join(X_61,X_16)),X)),meet(X_16,meet(X_60,meet(join(X_61,X_16),X)))) )],[refute_0_1280,refute_0_1281]) ).

cnf(refute_0_1283,plain,
    meet(X,meet(X_16,X_60)) = meet(X_16,meet(X_60,meet(join(X_61,X_16),X))),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_16,X_60)),meet(X_16,meet(meet(X_60,join(X_61,X_16)),X))) )],[refute_0_1275,refute_0_1282]) ).

cnf(refute_0_1284,plain,
    ( meet(X,meet(X_16,X_60)) != meet(X_16,meet(X_60,meet(join(X_61,X_16),X)))
    | meet(X_16,meet(X_60,meet(join(X_61,X_16),X))) = meet(X,meet(X_16,X_60)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X,meet(X_16,X_60)))),bind(Y0,$fot(meet(X_16,meet(X_60,meet(join(X_61,X_16),X)))))]]) ).

cnf(refute_0_1285,plain,
    meet(X_16,meet(X_60,meet(join(X_61,X_16),X))) = meet(X,meet(X_16,X_60)),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_16,X_60)),meet(X_16,meet(X_60,meet(join(X_61,X_16),X)))) )],[refute_0_1283,refute_0_1284]) ).

cnf(refute_0_1286,plain,
    meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))) = meet(X_76,meet(X_17,X_16)),
    inference(subst,[],[refute_0_1285:[bind(X,$fot(X_76)),bind(X_16,$fot(X_17)),bind(X_60,$fot(X_16)),bind(X_61,$fot(X_74))]]) ).

cnf(refute_0_1287,plain,
    ( meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))) != meet(X_16,meet(X_17,X_76))
    | meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))) != meet(X_76,meet(X_17,X_16))
    | meet(X_76,meet(X_17,X_16)) = meet(X_16,meet(X_17,X_76)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))),meet(X_16,meet(X_17,X_76))) ),[0],$fot(meet(X_76,meet(X_17,X_16)))]]) ).

cnf(refute_0_1288,plain,
    ( meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))) != meet(X_16,meet(X_17,X_76))
    | meet(X_76,meet(X_17,X_16)) = meet(X_16,meet(X_17,X_76)) ),
    inference(resolve,[$cnf( $equal(meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))),meet(X_76,meet(X_17,X_16))) )],[refute_0_1286,refute_0_1287]) ).

cnf(refute_0_1289,plain,
    meet(X_76,meet(X_17,X_16)) = meet(X_16,meet(X_17,X_76)),
    inference(resolve,[$cnf( $equal(meet(X_17,meet(X_16,meet(join(X_74,X_17),X_76))),meet(X_16,meet(X_17,X_76))) )],[refute_0_1270,refute_0_1288]) ).

cnf(refute_0_1290,plain,
    meet(join(X_161,join(X_162,X_163)),meet(join(X_161,join(X_163,X_162)),X_16)) = meet(X_16,meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163)))),
    inference(subst,[],[refute_0_1289:[bind(X_17,$fot(join(X_161,join(X_163,X_162)))),bind(X_76,$fot(join(X_161,join(X_162,X_163))))]]) ).

cnf(refute_0_1291,plain,
    ( meet(join(X_161,join(X_162,X_163)),meet(join(X_161,join(X_163,X_162)),X_16)) != meet(X_16,meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))))
    | meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))) != join(X_163,join(X_161,X_162))
    | meet(join(X_161,join(X_162,X_163)),meet(join(X_161,join(X_163,X_162)),X_16)) = meet(X_16,join(X_163,join(X_161,X_162))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_161,join(X_162,X_163)),meet(join(X_161,join(X_163,X_162)),X_16)),meet(X_16,meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))))) ),[1,1],$fot(join(X_163,join(X_161,X_162)))]]) ).

cnf(refute_0_1292,plain,
    ( meet(join(X_161,join(X_162,X_163)),meet(join(X_161,join(X_163,X_162)),X_16)) != meet(X_16,meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))))
    | meet(join(X_161,join(X_162,X_163)),meet(join(X_161,join(X_163,X_162)),X_16)) = meet(X_16,join(X_163,join(X_161,X_162))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))),join(X_163,join(X_161,X_162))) )],[refute_0_1260,refute_0_1291]) ).

cnf(refute_0_1293,plain,
    meet(join(X_161,join(X_162,X_163)),meet(join(X_161,join(X_163,X_162)),X_16)) = meet(X_16,join(X_163,join(X_161,X_162))),
    inference(resolve,[$cnf( $equal(meet(join(X_161,join(X_162,X_163)),meet(join(X_161,join(X_163,X_162)),X_16)),meet(X_16,meet(join(X_161,join(X_163,X_162)),join(X_161,join(X_162,X_163))))) )],[refute_0_1290,refute_0_1292]) ).

cnf(refute_0_1294,plain,
    meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z)) = meet(Z,join(X_162,join(X_161,X_163))),
    inference(subst,[],[refute_0_1293:[bind(X_16,$fot(Z)),bind(X_162,$fot(X_163)),bind(X_163,$fot(X_162))]]) ).

cnf(refute_0_1295,plain,
    ( meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z)) != meet(Z,join(X_162,join(X_161,X_163)))
    | meet(join(X_163,join(X_161,X_162)),Z) != meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z))
    | meet(join(X_163,join(X_161,X_162)),Z) = meet(Z,join(X_162,join(X_161,X_163))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_163,join(X_161,X_162)),Z),meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z))) ),[1],$fot(meet(Z,join(X_162,join(X_161,X_163))))]]) ).

cnf(refute_0_1296,plain,
    ( meet(join(X_163,join(X_161,X_162)),Z) != meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z))
    | meet(join(X_163,join(X_161,X_162)),Z) = meet(Z,join(X_162,join(X_161,X_163))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z)),meet(Z,join(X_162,join(X_161,X_163)))) )],[refute_0_1294,refute_0_1295]) ).

cnf(refute_0_1297,plain,
    meet(join(X_163,join(X_161,X_162)),Z) = meet(Z,join(X_162,join(X_161,X_163))),
    inference(resolve,[$cnf( $equal(meet(join(X_163,join(X_161,X_162)),Z),meet(join(X_161,join(X_163,X_162)),meet(join(X_161,join(X_162,X_163)),Z))) )],[refute_0_1263,refute_0_1296]) ).

cnf(refute_0_1298,plain,
    meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))) = meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),
    inference(subst,[],[refute_0_1297:[bind(Z,$fot(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))))),bind(X_161,$fot(meet(join(X_21,X_167),X_168))),bind(X_162,$fot(X_21)),bind(X_163,$fot(X_20))]]) ).

cnf(refute_0_1299,plain,
    ( meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))) != join(meet(join(X_21,X_167),X_168),join(X_20,X_21))
    | meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))) != meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))
    | meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(meet(join(X_21,X_167),X_168),join(X_20,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))),join(meet(join(X_21,X_167),X_168),join(X_20,X_21))) ),[0],$fot(meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))))]]) ).

cnf(refute_0_1300,plain,
    ( meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))) != join(meet(join(X_21,X_167),X_168),join(X_20,X_21))
    | meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(meet(join(X_21,X_167),X_168),join(X_20,X_21)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))),meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))) )],[refute_0_1298,refute_0_1299]) ).

cnf(refute_0_1301,plain,
    join(X,join(meet(X_166,X_165),X_20)) = join(meet(X_166,X_165),join(X_20,X)),
    inference(subst,[],[refute_0_354:[bind(X_19,$fot(meet(X_166,X_165)))]]) ).

cnf(refute_0_1302,plain,
    join(meet(X_166,X_165),join(X_20,X)) = join(meet(X_165,X_166),join(X_20,X)),
    inference(subst,[],[refute_0_668:[bind(X_145,$fot(join(X_20,X))),bind(X_16,$fot(X_165)),bind(X_17,$fot(X_166))]]) ).

cnf(refute_0_1303,plain,
    ( join(X,join(meet(X_166,X_165),X_20)) != join(meet(X_166,X_165),join(X_20,X))
    | join(meet(X_166,X_165),join(X_20,X)) != join(meet(X_165,X_166),join(X_20,X))
    | join(X,join(meet(X_166,X_165),X_20)) = join(meet(X_165,X_166),join(X_20,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X,join(meet(X_166,X_165),X_20)),join(meet(X_165,X_166),join(X_20,X))) ),[0],$fot(join(meet(X_166,X_165),join(X_20,X)))]]) ).

cnf(refute_0_1304,plain,
    ( join(X,join(meet(X_166,X_165),X_20)) != join(meet(X_166,X_165),join(X_20,X))
    | join(X,join(meet(X_166,X_165),X_20)) = join(meet(X_165,X_166),join(X_20,X)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_166,X_165),join(X_20,X)),join(meet(X_165,X_166),join(X_20,X))) )],[refute_0_1302,refute_0_1303]) ).

cnf(refute_0_1305,plain,
    join(X,join(meet(X_166,X_165),X_20)) = join(meet(X_165,X_166),join(X_20,X)),
    inference(resolve,[$cnf( $equal(join(X,join(meet(X_166,X_165),X_20)),join(meet(X_166,X_165),join(X_20,X))) )],[refute_0_1301,refute_0_1304]) ).

cnf(refute_0_1306,plain,
    ( join(X,join(meet(X_166,X_165),X_20)) != join(meet(X_165,X_166),join(X_20,X))
    | join(meet(X_165,X_166),join(X_20,X)) = join(X,join(meet(X_166,X_165),X_20)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X,join(meet(X_166,X_165),X_20)))),bind(Y0,$fot(join(meet(X_165,X_166),join(X_20,X))))]]) ).

cnf(refute_0_1307,plain,
    join(meet(X_165,X_166),join(X_20,X)) = join(X,join(meet(X_166,X_165),X_20)),
    inference(resolve,[$cnf( $equal(join(X,join(meet(X_166,X_165),X_20)),join(meet(X_165,X_166),join(X_20,X))) )],[refute_0_1305,refute_0_1306]) ).

cnf(refute_0_1308,plain,
    join(meet(join(X_21,X_167),X_168),join(X_20,X_21)) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)),
    inference(subst,[],[refute_0_1307:[bind(X,$fot(X_21)),bind(X_165,$fot(join(X_21,X_167))),bind(X_166,$fot(X_168))]]) ).

cnf(refute_0_1309,plain,
    ( join(meet(join(X_21,X_167),X_168),join(X_20,X_21)) != join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))
    | meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != join(meet(join(X_21,X_167),X_168),join(X_20,X_21))
    | meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),join(meet(join(X_21,X_167),X_168),join(X_20,X_21))) ),[1],$fot(join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)))]]) ).

cnf(refute_0_1310,plain,
    ( meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != join(meet(join(X_21,X_167),X_168),join(X_20,X_21))
    | meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_21,X_167),X_168),join(X_20,X_21)),join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))) )],[refute_0_1308,refute_0_1309]) ).

cnf(refute_0_1311,plain,
    ( meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))) != join(meet(join(X_21,X_167),X_168),join(X_20,X_21))
    | meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),join(meet(join(X_21,X_167),X_168),join(X_20,X_21))) )],[refute_0_1300,refute_0_1310]) ).

cnf(refute_0_1312,plain,
    meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(meet(join(X_21,X_167),X_168),X_21)),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))),join(meet(join(X_21,X_167),X_168),join(X_20,X_21))) )],[refute_0_1258,refute_0_1311]) ).

cnf(refute_0_1313,plain,
    join(X_32,meet(join(X_32,X_167),X_168)) = join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))),
    inference(subst,[],[refute_0_388:[bind(X_31,$fot(meet(join(X_32,X_167),X_168)))]]) ).

cnf(refute_0_1314,plain,
    join(X_32,meet(join(X_168,X_32),X_167)) = join(X_32,meet(join(X_32,X_167),X_168)),
    inference(subst,[],[refute_0_1252:[bind(Y,$fot(X_167)),bind(X_39,$fot(X_168)),bind(X_40,$fot(X_32))]]) ).

cnf(refute_0_1315,plain,
    ( join(X_32,meet(join(X_168,X_32),X_167)) != join(X_32,meet(join(X_32,X_167),X_168))
    | join(X_32,meet(join(X_32,X_167),X_168)) = join(X_32,meet(join(X_168,X_32),X_167)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_32,meet(join(X_168,X_32),X_167)))),bind(Y0,$fot(join(X_32,meet(join(X_32,X_167),X_168))))]]) ).

cnf(refute_0_1316,plain,
    join(X_32,meet(join(X_32,X_167),X_168)) = join(X_32,meet(join(X_168,X_32),X_167)),
    inference(resolve,[$cnf( $equal(join(X_32,meet(join(X_168,X_32),X_167)),join(X_32,meet(join(X_32,X_167),X_168))) )],[refute_0_1314,refute_0_1315]) ).

cnf(refute_0_1317,plain,
    ( join(X_32,meet(join(X_32,X_167),X_168)) != join(X_32,meet(join(X_168,X_32),X_167))
    | join(X_32,meet(join(X_32,X_167),X_168)) != join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168))))
    | join(X_32,meet(join(X_168,X_32),X_167)) = join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,meet(join(X_32,X_167),X_168)),join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168))))) ),[0],$fot(join(X_32,meet(join(X_168,X_32),X_167)))]]) ).

cnf(refute_0_1318,plain,
    ( join(X_32,meet(join(X_32,X_167),X_168)) != join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168))))
    | join(X_32,meet(join(X_168,X_32),X_167)) = join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))) ),
    inference(resolve,[$cnf( $equal(join(X_32,meet(join(X_32,X_167),X_168)),join(X_32,meet(join(X_168,X_32),X_167))) )],[refute_0_1316,refute_0_1317]) ).

cnf(refute_0_1319,plain,
    join(X_32,meet(join(X_168,X_32),X_167)) = join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))),
    inference(resolve,[$cnf( $equal(join(X_32,meet(join(X_32,X_167),X_168)),join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168))))) )],[refute_0_1313,refute_0_1318]) ).

cnf(refute_0_1320,plain,
    join(meet(X_11,X_85),meet(X_84,meet(X_85,meet(X_11,X_85)))) = meet(X_11,X_85),
    inference(subst,[],[refute_0_131:[bind(X_10,$fot(meet(X_11,X_85))),bind(X_16,$fot(X_84)),bind(X_17,$fot(X_85))]]) ).

cnf(refute_0_1321,plain,
    meet(X_85,meet(X_11,X_85)) = meet(X_85,X_11),
    inference(subst,[],[refute_0_46:[bind(Y,$fot(X_85))]]) ).

cnf(refute_0_1322,plain,
    ( join(meet(X_11,X_85),meet(X_84,meet(X_85,meet(X_11,X_85)))) != meet(X_11,X_85)
    | meet(X_85,meet(X_11,X_85)) != meet(X_85,X_11)
    | join(meet(X_11,X_85),meet(X_84,meet(X_85,X_11))) = meet(X_11,X_85) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_11,X_85),meet(X_84,meet(X_85,meet(X_11,X_85)))),meet(X_11,X_85)) ),[0,1,1],$fot(meet(X_85,X_11))]]) ).

cnf(refute_0_1323,plain,
    ( join(meet(X_11,X_85),meet(X_84,meet(X_85,meet(X_11,X_85)))) != meet(X_11,X_85)
    | join(meet(X_11,X_85),meet(X_84,meet(X_85,X_11))) = meet(X_11,X_85) ),
    inference(resolve,[$cnf( $equal(meet(X_85,meet(X_11,X_85)),meet(X_85,X_11)) )],[refute_0_1321,refute_0_1322]) ).

cnf(refute_0_1324,plain,
    join(meet(X_11,X_85),meet(X_84,meet(X_85,X_11))) = meet(X_11,X_85),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_85),meet(X_84,meet(X_85,meet(X_11,X_85)))),meet(X_11,X_85)) )],[refute_0_1320,refute_0_1323]) ).

cnf(refute_0_1325,plain,
    join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168))) = meet(X_168,join(X_32,X_167)),
    inference(subst,[],[refute_0_1324:[bind(X_11,$fot(X_168)),bind(X_84,$fot(X_11)),bind(X_85,$fot(join(X_32,X_167)))]]) ).

cnf(refute_0_1326,plain,
    join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))) = join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))),
    introduced(tautology,[refl,[$fot(join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))))]]) ).

cnf(refute_0_1327,plain,
    ( join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))) != join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168))))
    | join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168))) != meet(X_168,join(X_32,X_167))
    | join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))) = join(X_32,meet(X_168,join(X_32,X_167))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))),join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168))))) ),[1,1],$fot(meet(X_168,join(X_32,X_167)))]]) ).

cnf(refute_0_1328,plain,
    ( join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168))) != meet(X_168,join(X_32,X_167))
    | join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))) = join(X_32,meet(X_168,join(X_32,X_167))) ),
    inference(resolve,[$cnf( $equal(join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))),join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168))))) )],[refute_0_1326,refute_0_1327]) ).

cnf(refute_0_1329,plain,
    join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))) = join(X_32,meet(X_168,join(X_32,X_167))),
    inference(resolve,[$cnf( $equal(join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168))),meet(X_168,join(X_32,X_167))) )],[refute_0_1325,refute_0_1328]) ).

cnf(refute_0_1330,plain,
    join(X_20,join(meet(X_166,X_165),X_21)) = join(meet(X_166,X_165),join(X_20,X_21)),
    inference(subst,[],[refute_0_369:[bind(X_19,$fot(meet(X_166,X_165)))]]) ).

cnf(refute_0_1331,plain,
    join(meet(X_166,X_165),join(X_20,X_21)) = join(meet(X_165,X_166),join(X_20,X_21)),
    inference(subst,[],[refute_0_668:[bind(X_145,$fot(join(X_20,X_21))),bind(X_16,$fot(X_165)),bind(X_17,$fot(X_166))]]) ).

cnf(refute_0_1332,plain,
    ( join(X_20,join(meet(X_166,X_165),X_21)) != join(meet(X_166,X_165),join(X_20,X_21))
    | join(meet(X_166,X_165),join(X_20,X_21)) != join(meet(X_165,X_166),join(X_20,X_21))
    | join(X_20,join(meet(X_166,X_165),X_21)) = join(meet(X_165,X_166),join(X_20,X_21)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_20,join(meet(X_166,X_165),X_21)),join(meet(X_165,X_166),join(X_20,X_21))) ),[0],$fot(join(meet(X_166,X_165),join(X_20,X_21)))]]) ).

cnf(refute_0_1333,plain,
    ( join(X_20,join(meet(X_166,X_165),X_21)) != join(meet(X_166,X_165),join(X_20,X_21))
    | join(X_20,join(meet(X_166,X_165),X_21)) = join(meet(X_165,X_166),join(X_20,X_21)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_166,X_165),join(X_20,X_21)),join(meet(X_165,X_166),join(X_20,X_21))) )],[refute_0_1331,refute_0_1332]) ).

cnf(refute_0_1334,plain,
    join(X_20,join(meet(X_166,X_165),X_21)) = join(meet(X_165,X_166),join(X_20,X_21)),
    inference(resolve,[$cnf( $equal(join(X_20,join(meet(X_166,X_165),X_21)),join(meet(X_166,X_165),join(X_20,X_21))) )],[refute_0_1330,refute_0_1333]) ).

cnf(refute_0_1335,plain,
    ( join(X_20,join(meet(X_166,X_165),X_21)) != join(meet(X_165,X_166),join(X_20,X_21))
    | join(meet(X_165,X_166),join(X_20,X_21)) = join(X_20,join(meet(X_166,X_165),X_21)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_20,join(meet(X_166,X_165),X_21)))),bind(Y0,$fot(join(meet(X_165,X_166),join(X_20,X_21))))]]) ).

cnf(refute_0_1336,plain,
    join(meet(X_165,X_166),join(X_20,X_21)) = join(X_20,join(meet(X_166,X_165),X_21)),
    inference(resolve,[$cnf( $equal(join(X_20,join(meet(X_166,X_165),X_21)),join(meet(X_165,X_166),join(X_20,X_21))) )],[refute_0_1334,refute_0_1335]) ).

cnf(refute_0_1337,plain,
    join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))) = join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))),
    inference(subst,[],[refute_0_1336:[bind(X_165,$fot(join(X_32,X_167))),bind(X_166,$fot(X_168)),bind(X_20,$fot(X_32)),bind(X_21,$fot(meet(X_11,meet(join(X_32,X_167),X_168))))]]) ).

cnf(refute_0_1338,plain,
    ( join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))) != join(X_32,meet(X_168,join(X_32,X_167)))
    | join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))) != join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168))))
    | join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))) = join(X_32,meet(X_168,join(X_32,X_167))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))))),bind(Y0,$fot(join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))))),bind(Z0,$fot(join(X_32,meet(X_168,join(X_32,X_167)))))]]) ).

cnf(refute_0_1339,plain,
    ( join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))) != join(X_32,meet(X_168,join(X_32,X_167)))
    | join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))) = join(X_32,meet(X_168,join(X_32,X_167))) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))),join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168))))) )],[refute_0_1337,refute_0_1338]) ).

cnf(refute_0_1340,plain,
    join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))) = join(X_32,meet(X_168,join(X_32,X_167))),
    inference(resolve,[$cnf( $equal(join(X_32,join(meet(X_168,join(X_32,X_167)),meet(X_11,meet(join(X_32,X_167),X_168)))),join(X_32,meet(X_168,join(X_32,X_167)))) )],[refute_0_1329,refute_0_1339]) ).

cnf(refute_0_1341,plain,
    ( join(X_32,meet(join(X_168,X_32),X_167)) != join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168))))
    | join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))) != join(X_32,meet(X_168,join(X_32,X_167)))
    | join(X_32,meet(join(X_168,X_32),X_167)) = join(X_32,meet(X_168,join(X_32,X_167))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_32,meet(join(X_168,X_32),X_167)),join(X_32,meet(X_168,join(X_32,X_167)))) ),[0],$fot(join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))))]]) ).

cnf(refute_0_1342,plain,
    ( join(X_32,meet(join(X_168,X_32),X_167)) != join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168))))
    | join(X_32,meet(join(X_168,X_32),X_167)) = join(X_32,meet(X_168,join(X_32,X_167))) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168)))),join(X_32,meet(X_168,join(X_32,X_167)))) )],[refute_0_1340,refute_0_1341]) ).

cnf(refute_0_1343,plain,
    join(X_32,meet(join(X_168,X_32),X_167)) = join(X_32,meet(X_168,join(X_32,X_167))),
    inference(resolve,[$cnf( $equal(join(X_32,meet(join(X_168,X_32),X_167)),join(meet(join(X_32,X_167),X_168),join(X_32,meet(X_11,meet(join(X_32,X_167),X_168))))) )],[refute_0_1319,refute_0_1342]) ).

cnf(refute_0_1344,plain,
    join(X_21,meet(join(X_168,X_21),X_167)) = join(X_21,meet(X_168,join(X_21,X_167))),
    inference(subst,[],[refute_0_1343:[bind(X_32,$fot(X_21))]]) ).

cnf(refute_0_1345,plain,
    join(X_20,join(X_21,meet(join(X_168,X_21),X_167))) = join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),
    introduced(tautology,[refl,[$fot(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))))]]) ).

cnf(refute_0_1346,plain,
    ( join(X_20,join(X_21,meet(join(X_168,X_21),X_167))) != join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))
    | join(X_21,meet(join(X_168,X_21),X_167)) != join(X_21,meet(X_168,join(X_21,X_167)))
    | join(X_20,join(X_21,meet(join(X_168,X_21),X_167))) = join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))) ),[1,1],$fot(join(X_21,meet(X_168,join(X_21,X_167))))]]) ).

cnf(refute_0_1347,plain,
    ( join(X_21,meet(join(X_168,X_21),X_167)) != join(X_21,meet(X_168,join(X_21,X_167)))
    | join(X_20,join(X_21,meet(join(X_168,X_21),X_167))) = join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))) ),
    inference(resolve,[$cnf( $equal(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_20,join(X_21,meet(join(X_168,X_21),X_167)))) )],[refute_0_1345,refute_0_1346]) ).

cnf(refute_0_1348,plain,
    join(X_20,join(X_21,meet(join(X_168,X_21),X_167))) = join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),
    inference(resolve,[$cnf( $equal(join(X_21,meet(join(X_168,X_21),X_167)),join(X_21,meet(X_168,join(X_21,X_167)))) )],[refute_0_1344,refute_0_1347]) ).

cnf(refute_0_1349,plain,
    meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),
    introduced(tautology,[refl,[$fot(meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))))]]) ).

cnf(refute_0_1350,plain,
    ( join(X_20,join(X_21,meet(join(X_168,X_21),X_167))) != join(X_20,join(X_21,meet(X_168,join(X_21,X_167))))
    | meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))
    | meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))) ),[1,0],$fot(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))))]]) ).

cnf(refute_0_1351,plain,
    ( join(X_20,join(X_21,meet(join(X_168,X_21),X_167))) != join(X_20,join(X_21,meet(X_168,join(X_21,X_167))))
    | meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))) )],[refute_0_1349,refute_0_1350]) ).

cnf(refute_0_1352,plain,
    meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),
    inference(resolve,[$cnf( $equal(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_20,join(X_21,meet(X_168,join(X_21,X_167))))) )],[refute_0_1348,refute_0_1351]) ).

cnf(refute_0_1353,plain,
    ( meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))
    | meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))
    | meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))) ),[0],$fot(meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))))]]) ).

cnf(refute_0_1354,plain,
    ( meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))
    | meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))) )],[refute_0_1352,refute_0_1353]) ).

cnf(refute_0_1355,plain,
    meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(join(X_168,X_21),X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))) )],[refute_0_1312,refute_0_1354]) ).

cnf(refute_0_1356,plain,
    meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,join(X_102,meet(X_100,join(Y,X_102))))) = join(X_102,meet(X_100,join(Y,X_102))),
    inference(subst,[],[refute_0_37:[bind(X,$fot(join(X_102,meet(X_100,join(Y,X_102)))))]]) ).

cnf(refute_0_1357,plain,
    join(Y,join(X_102,meet(X_100,join(Y,X_102)))) = join(Y,X_102),
    inference(subst,[],[refute_0_625:[bind(X_11,$fot(X_100)),bind(X_19,$fot(Y)),bind(X_20,$fot(X_102))]]) ).

cnf(refute_0_1358,plain,
    ( join(Y,join(X_102,meet(X_100,join(Y,X_102)))) != join(Y,X_102)
    | meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,join(X_102,meet(X_100,join(Y,X_102))))) != join(X_102,meet(X_100,join(Y,X_102)))
    | meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,X_102)) = join(X_102,meet(X_100,join(Y,X_102))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,join(X_102,meet(X_100,join(Y,X_102))))),join(X_102,meet(X_100,join(Y,X_102)))) ),[0,1],$fot(join(Y,X_102))]]) ).

cnf(refute_0_1359,plain,
    ( meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,join(X_102,meet(X_100,join(Y,X_102))))) != join(X_102,meet(X_100,join(Y,X_102)))
    | meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,X_102)) = join(X_102,meet(X_100,join(Y,X_102))) ),
    inference(resolve,[$cnf( $equal(join(Y,join(X_102,meet(X_100,join(Y,X_102)))),join(Y,X_102)) )],[refute_0_1357,refute_0_1358]) ).

cnf(refute_0_1360,plain,
    meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,X_102)) = join(X_102,meet(X_100,join(Y,X_102))),
    inference(resolve,[$cnf( $equal(meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,join(X_102,meet(X_100,join(Y,X_102))))),join(X_102,meet(X_100,join(Y,X_102)))) )],[refute_0_1356,refute_0_1359]) ).

cnf(refute_0_1361,plain,
    meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,X_102)) = meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))),
    inference(subst,[],[refute_0_522:[bind(X_16,$fot(join(X_102,meet(X_100,join(Y,X_102))))),bind(X_63,$fot(X_102)),bind(X_64,$fot(Y))]]) ).

cnf(refute_0_1362,plain,
    ( meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,X_102)) != join(X_102,meet(X_100,join(Y,X_102)))
    | meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,X_102)) != meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102))))
    | meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) = join(X_102,meet(X_100,join(Y,X_102))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,X_102)),join(X_102,meet(X_100,join(Y,X_102)))) ),[0],$fot(meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))))]]) ).

cnf(refute_0_1363,plain,
    ( meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,X_102)) != join(X_102,meet(X_100,join(Y,X_102)))
    | meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) = join(X_102,meet(X_100,join(Y,X_102))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,X_102)),meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102))))) )],[refute_0_1361,refute_0_1362]) ).

cnf(refute_0_1364,plain,
    meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) = join(X_102,meet(X_100,join(Y,X_102))),
    inference(resolve,[$cnf( $equal(meet(join(X_102,meet(X_100,join(Y,X_102))),join(Y,X_102)),join(X_102,meet(X_100,join(Y,X_102)))) )],[refute_0_1360,refute_0_1363]) ).

cnf(refute_0_1365,plain,
    meet(join(X_102,Y),join(X_100,X_102)) = join(X_102,meet(X_100,join(X_102,Y))),
    inference(subst,[],[refute_0_1241:[bind(X_11,$fot(X_100)),bind(X_142,$fot(Y)),bind(X_143,$fot(X_102))]]) ).

cnf(refute_0_1366,plain,
    meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(join(X_63,X_64),X_180)))) = meet(join(X_63,X_64),join(X_180,X_181)),
    inference(subst,[],[refute_0_308:[bind(X_39,$fot(join(X_63,X_64))),bind(X_40,$fot(X_180)),bind(X_41,$fot(X_181))]]) ).

cnf(refute_0_1367,plain,
    meet(join(X_63,X_64),X_180) = meet(X_180,join(X_64,X_63)),
    inference(subst,[],[refute_0_349:[bind(X_16,$fot(X_180))]]) ).

cnf(refute_0_1368,plain,
    ( meet(join(X_63,X_64),X_180) != meet(X_180,join(X_64,X_63))
    | meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(join(X_63,X_64),X_180)))) != meet(join(X_63,X_64),join(X_180,X_181))
    | meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) = meet(join(X_63,X_64),join(X_180,X_181)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(join(X_63,X_64),X_180)))),meet(join(X_63,X_64),join(X_180,X_181))) ),[0,1,1,1],$fot(meet(X_180,join(X_64,X_63)))]]) ).

cnf(refute_0_1369,plain,
    ( meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(join(X_63,X_64),X_180)))) != meet(join(X_63,X_64),join(X_180,X_181))
    | meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) = meet(join(X_63,X_64),join(X_180,X_181)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),X_180),meet(X_180,join(X_64,X_63))) )],[refute_0_1367,refute_0_1368]) ).

cnf(refute_0_1370,plain,
    meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) = meet(join(X_63,X_64),join(X_180,X_181)),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(join(X_63,X_64),X_180)))),meet(join(X_63,X_64),join(X_180,X_181))) )],[refute_0_1366,refute_0_1369]) ).

cnf(refute_0_1371,plain,
    meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63)))) = join(X_181,meet(X_180,join(X_64,X_63))),
    inference(subst,[],[refute_0_526:[bind(Y,$fot(X_180)),bind(X_106,$fot(join(X_64,X_63))),bind(X_108,$fot(X_181))]]) ).

cnf(refute_0_1372,plain,
    meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) = meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))),
    introduced(tautology,[refl,[$fot(meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))))]]) ).

cnf(refute_0_1373,plain,
    ( meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63)))) != join(X_181,meet(X_180,join(X_64,X_63)))
    | meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) != meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63)))))
    | meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) = meet(join(X_63,X_64),join(X_181,meet(X_180,join(X_64,X_63)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))),meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63)))))) ),[1,1],$fot(join(X_181,meet(X_180,join(X_64,X_63))))]]) ).

cnf(refute_0_1374,plain,
    ( meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63)))) != join(X_181,meet(X_180,join(X_64,X_63)))
    | meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) = meet(join(X_63,X_64),join(X_181,meet(X_180,join(X_64,X_63)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))),meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63)))))) )],[refute_0_1372,refute_0_1373]) ).

cnf(refute_0_1375,plain,
    meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) = meet(join(X_63,X_64),join(X_181,meet(X_180,join(X_64,X_63)))),
    inference(resolve,[$cnf( $equal(meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63)))),join(X_181,meet(X_180,join(X_64,X_63)))) )],[refute_0_1371,refute_0_1374]) ).

cnf(refute_0_1376,plain,
    ( meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) != meet(join(X_63,X_64),join(X_180,X_181))
    | meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) != meet(join(X_63,X_64),join(X_181,meet(X_180,join(X_64,X_63))))
    | meet(join(X_63,X_64),join(X_181,meet(X_180,join(X_64,X_63)))) = meet(join(X_63,X_64),join(X_180,X_181)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))),meet(join(X_63,X_64),join(X_180,X_181))) ),[0],$fot(meet(join(X_63,X_64),join(X_181,meet(X_180,join(X_64,X_63)))))]]) ).

cnf(refute_0_1377,plain,
    ( meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))) != meet(join(X_63,X_64),join(X_180,X_181))
    | meet(join(X_63,X_64),join(X_181,meet(X_180,join(X_64,X_63)))) = meet(join(X_63,X_64),join(X_180,X_181)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))),meet(join(X_63,X_64),join(X_181,meet(X_180,join(X_64,X_63))))) )],[refute_0_1375,refute_0_1376]) ).

cnf(refute_0_1378,plain,
    meet(join(X_63,X_64),join(X_181,meet(X_180,join(X_64,X_63)))) = meet(join(X_63,X_64),join(X_180,X_181)),
    inference(resolve,[$cnf( $equal(meet(join(X_63,X_64),meet(join(X_180,X_181),join(X_181,meet(X_180,join(X_64,X_63))))),meet(join(X_63,X_64),join(X_180,X_181))) )],[refute_0_1370,refute_0_1377]) ).

cnf(refute_0_1379,plain,
    meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) = meet(join(X_102,Y),join(X_100,X_102)),
    inference(subst,[],[refute_0_1378:[bind(X_180,$fot(X_100)),bind(X_181,$fot(X_102)),bind(X_63,$fot(X_102)),bind(X_64,$fot(Y))]]) ).

cnf(refute_0_1380,plain,
    ( meet(join(X_102,Y),join(X_100,X_102)) != join(X_102,meet(X_100,join(X_102,Y)))
    | meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) != meet(join(X_102,Y),join(X_100,X_102))
    | meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) = join(X_102,meet(X_100,join(X_102,Y))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))))),bind(Y0,$fot(meet(join(X_102,Y),join(X_100,X_102)))),bind(Z0,$fot(join(X_102,meet(X_100,join(X_102,Y)))))]]) ).

cnf(refute_0_1381,plain,
    ( meet(join(X_102,Y),join(X_100,X_102)) != join(X_102,meet(X_100,join(X_102,Y)))
    | meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) = join(X_102,meet(X_100,join(X_102,Y))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))),meet(join(X_102,Y),join(X_100,X_102))) )],[refute_0_1379,refute_0_1380]) ).

cnf(refute_0_1382,plain,
    meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) = join(X_102,meet(X_100,join(X_102,Y))),
    inference(resolve,[$cnf( $equal(meet(join(X_102,Y),join(X_100,X_102)),join(X_102,meet(X_100,join(X_102,Y)))) )],[refute_0_1365,refute_0_1381]) ).

cnf(refute_0_1383,plain,
    ( meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) != join(X_102,meet(X_100,join(Y,X_102)))
    | meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) != join(X_102,meet(X_100,join(X_102,Y)))
    | join(X_102,meet(X_100,join(X_102,Y))) = join(X_102,meet(X_100,join(Y,X_102))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))),join(X_102,meet(X_100,join(Y,X_102)))) ),[0],$fot(join(X_102,meet(X_100,join(X_102,Y))))]]) ).

cnf(refute_0_1384,plain,
    ( meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) != join(X_102,meet(X_100,join(Y,X_102)))
    | join(X_102,meet(X_100,join(X_102,Y))) = join(X_102,meet(X_100,join(Y,X_102))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))),join(X_102,meet(X_100,join(X_102,Y)))) )],[refute_0_1382,refute_0_1383]) ).

cnf(refute_0_1385,plain,
    join(join(X_181,meet(X_16,X_180)),meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180))))) = join(X_181,meet(X_16,X_180)),
    inference(subst,[],[refute_0_131:[bind(X_10,$fot(join(X_181,meet(X_16,X_180)))),bind(X_17,$fot(join(X_180,X_181)))]]) ).

cnf(refute_0_1386,plain,
    ( join(join(X_181,meet(X_16,X_180)),meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180))))) != join(X_181,meet(X_16,X_180))
    | meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180)))) != meet(X_16,join(X_180,X_181))
    | join(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = join(X_181,meet(X_16,X_180)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_181,meet(X_16,X_180)),meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180))))),join(X_181,meet(X_16,X_180))) ),[0,1],$fot(meet(X_16,join(X_180,X_181)))]]) ).

cnf(refute_0_1387,plain,
    ( join(join(X_181,meet(X_16,X_180)),meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180))))) != join(X_181,meet(X_16,X_180))
    | join(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = join(X_181,meet(X_16,X_180)) ),
    inference(resolve,[$cnf( $equal(meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180)))),meet(X_16,join(X_180,X_181))) )],[refute_0_309,refute_0_1386]) ).

cnf(refute_0_1388,plain,
    join(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = join(X_181,meet(X_16,X_180)),
    inference(resolve,[$cnf( $equal(join(join(X_181,meet(X_16,X_180)),meet(X_16,meet(join(X_180,X_181),join(X_181,meet(X_16,X_180))))),join(X_181,meet(X_16,X_180))) )],[refute_0_1385,refute_0_1387]) ).

cnf(refute_0_1389,plain,
    join(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) = join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))),
    inference(subst,[],[associativity_of_join:[bind(X,$fot(X_181)),bind(Y,$fot(meet(X_16,X_180))),bind(Z,$fot(meet(X_16,join(X_180,X_181))))]]) ).

cnf(refute_0_1390,plain,
    ( join(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) != join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181))))
    | join(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) != join(X_181,meet(X_16,X_180))
    | join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) = join(X_181,meet(X_16,X_180)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))),join(X_181,meet(X_16,X_180))) ),[0],$fot(join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))))]]) ).

cnf(refute_0_1391,plain,
    ( join(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))) != join(X_181,meet(X_16,X_180))
    | join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) = join(X_181,meet(X_16,X_180)) ),
    inference(resolve,[$cnf( $equal(join(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))),join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181))))) )],[refute_0_1389,refute_0_1390]) ).

cnf(refute_0_1392,plain,
    join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) = join(X_181,meet(X_16,X_180)),
    inference(resolve,[$cnf( $equal(join(join(X_181,meet(X_16,X_180)),meet(X_16,join(X_180,X_181))),join(X_181,meet(X_16,X_180))) )],[refute_0_1388,refute_0_1391]) ).

cnf(refute_0_1393,plain,
    meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) = join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),join(X,meet(Y,meet(X_85,X))))),
    inference(subst,[],[refute_0_58:[bind(Z,$fot(meet(X_85,X)))]]) ).

cnf(refute_0_1394,plain,
    join(X,meet(Y,meet(X_85,X))) = X,
    inference(subst,[],[refute_0_131:[bind(X_10,$fot(X)),bind(X_16,$fot(Y)),bind(X_17,$fot(X_85))]]) ).

cnf(refute_0_1395,plain,
    ( join(X,meet(Y,meet(X_85,X))) != X
    | meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) != join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),join(X,meet(Y,meet(X_85,X)))))
    | meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) = join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))),join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),join(X,meet(Y,meet(X_85,X)))))) ),[1,1,1],$fot(X)]]) ).

cnf(refute_0_1396,plain,
    ( meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) != join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),join(X,meet(Y,meet(X_85,X)))))
    | meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) = join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)) ),
    inference(resolve,[$cnf( $equal(join(X,meet(Y,meet(X_85,X))),X) )],[refute_0_1394,refute_0_1395]) ).

cnf(refute_0_1397,plain,
    meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) = join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))),join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),join(X,meet(Y,meet(X_85,X)))))) )],[refute_0_1393,refute_0_1396]) ).

cnf(refute_0_1398,plain,
    meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) = meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))),
    introduced(tautology,[refl,[$fot(meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))))]]) ).

cnf(refute_0_1399,plain,
    ( join(X,meet(Y,meet(X_85,X))) != X
    | meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) != meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y)))
    | meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) = meet(X,join(meet(X_85,X),meet(X,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))),meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y)))) ),[1,0],$fot(X)]]) ).

cnf(refute_0_1400,plain,
    ( join(X,meet(Y,meet(X_85,X))) != X
    | meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) = meet(X,join(meet(X_85,X),meet(X,Y))) ),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))),meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y)))) )],[refute_0_1398,refute_0_1399]) ).

cnf(refute_0_1401,plain,
    meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) = meet(X,join(meet(X_85,X),meet(X,Y))),
    inference(resolve,[$cnf( $equal(join(X,meet(Y,meet(X_85,X))),X) )],[refute_0_1394,refute_0_1400]) ).

cnf(refute_0_1402,plain,
    ( meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) != join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X))
    | meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) != meet(X,join(meet(X_85,X),meet(X,Y)))
    | meet(X,join(meet(X_85,X),meet(X,Y))) = join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))),join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X))) ),[0],$fot(meet(X,join(meet(X_85,X),meet(X,Y))))]]) ).

cnf(refute_0_1403,plain,
    ( meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) != join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X))
    | meet(X,join(meet(X_85,X),meet(X,Y))) = join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)) ),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))),meet(X,join(meet(X_85,X),meet(X,Y)))) )],[refute_0_1401,refute_0_1402]) ).

cnf(refute_0_1404,plain,
    meet(X,meet(X_85,X)) = meet(X,X_85),
    inference(subst,[],[refute_0_46:[bind(Y,$fot(X)),bind(X_11,$fot(X_85))]]) ).

cnf(refute_0_1405,plain,
    join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))) = join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))),
    introduced(tautology,[refl,[$fot(join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))))]]) ).

cnf(refute_0_1406,plain,
    ( join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))) != join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X))))
    | meet(X,meet(X_85,X)) != meet(X,X_85)
    | join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))),join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X))))) ),[1,0],$fot(meet(X,X_85))]]) ).

cnf(refute_0_1407,plain,
    ( meet(X,meet(X_85,X)) != meet(X,X_85)
    | join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))),join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X))))) )],[refute_0_1405,refute_0_1406]) ).

cnf(refute_0_1408,plain,
    join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))),
    inference(resolve,[$cnf( $equal(meet(X,meet(X_85,X)),meet(X,X_85)) )],[refute_0_1404,refute_0_1407]) ).

cnf(refute_0_1409,plain,
    join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)) = join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))),
    inference(subst,[],[refute_0_964:[bind(X_11,$fot(X)),bind(X_15,$fot(meet(X_85,X))),bind(X_78,$fot(meet(X,join(Y,meet(X_85,X)))))]]) ).

cnf(refute_0_1410,plain,
    ( join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)) != join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X))))
    | join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)))),bind(Y0,$fot(join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))))),bind(Z0,$fot(join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))))]]) ).

cnf(refute_0_1411,plain,
    ( join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)),join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X))))) )],[refute_0_1409,refute_0_1410]) ).

cnf(refute_0_1412,plain,
    join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))),
    inference(resolve,[$cnf( $equal(join(meet(X,meet(X_85,X)),meet(X,join(Y,meet(X_85,X)))),join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))) )],[refute_0_1408,refute_0_1411]) ).

cnf(refute_0_1413,plain,
    ( join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | meet(X,join(meet(X_85,X),meet(X,Y))) != join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X))
    | meet(X,join(meet(X_85,X),meet(X,Y))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,join(meet(X_85,X),meet(X,Y))),join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X))) ),[1],$fot(join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))))]]) ).

cnf(refute_0_1414,plain,
    ( meet(X,join(meet(X_85,X),meet(X,Y))) != join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X))
    | meet(X,join(meet(X_85,X),meet(X,Y))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X)),join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))) )],[refute_0_1412,refute_0_1413]) ).

cnf(refute_0_1415,plain,
    ( meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))) != join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X))
    | meet(X,join(meet(X_85,X),meet(X,Y))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    inference(resolve,[$cnf( $equal(meet(X,join(meet(X_85,X),meet(X,Y))),join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X))) )],[refute_0_1403,refute_0_1414]) ).

cnf(refute_0_1416,plain,
    meet(X,join(meet(X_85,X),meet(X,Y))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))),
    inference(resolve,[$cnf( $equal(meet(join(X,meet(Y,meet(X_85,X))),join(meet(X_85,X),meet(X,Y))),join(meet(X,join(Y,meet(X_85,X))),meet(meet(X_85,X),X))) )],[refute_0_1397,refute_0_1415]) ).

cnf(refute_0_1417,plain,
    meet(X,join(meet(X_85,X),meet(X,Y))) = meet(X,join(Y,meet(X_85,X))),
    inference(subst,[],[refute_0_1118:[bind(Z,$fot(meet(X_85,X))),bind(X_109,$fot(X))]]) ).

cnf(refute_0_1418,plain,
    ( meet(X,join(meet(X_85,X),meet(X,Y))) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | meet(X,join(meet(X_85,X),meet(X,Y))) != meet(X,join(Y,meet(X_85,X)))
    | meet(X,join(Y,meet(X_85,X))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,join(meet(X_85,X),meet(X,Y))),join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))) ),[0],$fot(meet(X,join(Y,meet(X_85,X))))]]) ).

cnf(refute_0_1419,plain,
    ( meet(X,join(meet(X_85,X),meet(X,Y))) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | meet(X,join(Y,meet(X_85,X))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    inference(resolve,[$cnf( $equal(meet(X,join(meet(X_85,X),meet(X,Y))),meet(X,join(Y,meet(X_85,X)))) )],[refute_0_1417,refute_0_1418]) ).

cnf(refute_0_1420,plain,
    meet(X,join(Y,meet(X_85,X))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))),
    inference(resolve,[$cnf( $equal(meet(X,join(meet(X_85,X),meet(X,Y))),join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))) )],[refute_0_1416,refute_0_1419]) ).

cnf(refute_0_1421,plain,
    meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) = meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11),
    inference(subst,[],[refute_0_46:[bind(Y,$fot(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))))]]) ).

cnf(refute_0_1422,plain,
    meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))) = meet(X_11,join(X_180,X_181)),
    inference(subst,[],[refute_0_308:[bind(X_39,$fot(X_11)),bind(X_40,$fot(X_180)),bind(X_41,$fot(X_181))]]) ).

cnf(refute_0_1423,plain,
    ( meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))) != meet(X_11,join(X_180,X_181))
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) != meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) = meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) ),[0,1],$fot(meet(X_11,join(X_180,X_181)))]]) ).

cnf(refute_0_1424,plain,
    ( meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) != meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) = meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))),meet(X_11,join(X_180,X_181))) )],[refute_0_1422,refute_0_1423]) ).

cnf(refute_0_1425,plain,
    meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) = meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11),
    inference(resolve,[$cnf( $equal(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) )],[refute_0_1421,refute_0_1424]) ).

cnf(refute_0_1426,plain,
    meet(join(meet(X_176,X_177),X_64),X_16) = meet(X_16,join(X_64,meet(X_176,X_177))),
    inference(subst,[],[refute_0_349:[bind(X_63,$fot(meet(X_176,X_177)))]]) ).

cnf(refute_0_1427,plain,
    join(X_64,meet(X_176,X_177)) = join(X_64,meet(X_177,X_176)),
    inference(subst,[],[refute_0_377:[bind(X_11,$fot(X_176)),bind(X_15,$fot(X_177)),bind(X_43,$fot(X_64))]]) ).

cnf(refute_0_1428,plain,
    ( join(X_64,meet(X_176,X_177)) != join(X_64,meet(X_177,X_176))
    | meet(join(meet(X_176,X_177),X_64),X_16) != meet(X_16,join(X_64,meet(X_176,X_177)))
    | meet(join(meet(X_176,X_177),X_64),X_16) = meet(X_16,join(X_64,meet(X_177,X_176))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_176,X_177),X_64),X_16),meet(X_16,join(X_64,meet(X_176,X_177)))) ),[1,1],$fot(join(X_64,meet(X_177,X_176)))]]) ).

cnf(refute_0_1429,plain,
    ( meet(join(meet(X_176,X_177),X_64),X_16) != meet(X_16,join(X_64,meet(X_176,X_177)))
    | meet(join(meet(X_176,X_177),X_64),X_16) = meet(X_16,join(X_64,meet(X_177,X_176))) ),
    inference(resolve,[$cnf( $equal(join(X_64,meet(X_176,X_177)),join(X_64,meet(X_177,X_176))) )],[refute_0_1427,refute_0_1428]) ).

cnf(refute_0_1430,plain,
    meet(join(meet(X_176,X_177),X_64),X_16) = meet(X_16,join(X_64,meet(X_177,X_176))),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_176,X_177),X_64),X_16),meet(X_16,join(X_64,meet(X_176,X_177)))) )],[refute_0_1426,refute_0_1429]) ).

cnf(refute_0_1431,plain,
    meet(join(meet(X_11,X_180),X_181),X_11) = meet(X_11,join(X_181,meet(X_180,X_11))),
    inference(subst,[],[refute_0_1430:[bind(X_16,$fot(X_11)),bind(X_176,$fot(X_11)),bind(X_177,$fot(X_180)),bind(X_64,$fot(X_181))]]) ).

cnf(refute_0_1432,plain,
    meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))) = meet(join(meet(X_11,X_180),X_181),X_11),
    inference(subst,[],[refute_0_1101:[bind(X_21,$fot(X_181)),bind(X_74,$fot(X_180)),bind(X_76,$fot(X_11))]]) ).

cnf(refute_0_1433,plain,
    ( meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))) != meet(join(meet(X_11,X_180),X_181),X_11)
    | meet(join(meet(X_11,X_180),X_181),X_11) != meet(X_11,join(X_181,meet(X_180,X_11)))
    | meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))) = meet(X_11,join(X_181,meet(X_180,X_11))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))))),bind(Y0,$fot(meet(join(meet(X_11,X_180),X_181),X_11))),bind(Z0,$fot(meet(X_11,join(X_181,meet(X_180,X_11)))))]]) ).

cnf(refute_0_1434,plain,
    ( meet(join(meet(X_11,X_180),X_181),X_11) != meet(X_11,join(X_181,meet(X_180,X_11)))
    | meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))) = meet(X_11,join(X_181,meet(X_180,X_11))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))),meet(join(meet(X_11,X_180),X_181),X_11)) )],[refute_0_1432,refute_0_1433]) ).

cnf(refute_0_1435,plain,
    meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))) = meet(X_11,join(X_181,meet(X_180,X_11))),
    inference(resolve,[$cnf( $equal(meet(join(meet(X_11,X_180),X_181),X_11),meet(X_11,join(X_181,meet(X_180,X_11)))) )],[refute_0_1431,refute_0_1434]) ).

cnf(refute_0_1436,plain,
    meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) = meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))),
    inference(subst,[],[refute_0_239:[bind(X_16,$fot(join(X_180,X_181))),bind(X_18,$fot(join(X_181,meet(X_11,X_180))))]]) ).

cnf(refute_0_1437,plain,
    ( meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))) != meet(X_11,join(X_181,meet(X_180,X_11)))
    | meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) != meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180))))
    | meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) = meet(X_11,join(X_181,meet(X_180,X_11))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))))),bind(Y0,$fot(meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))))),bind(Z0,$fot(meet(X_11,join(X_181,meet(X_180,X_11)))))]]) ).

cnf(refute_0_1438,plain,
    ( meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))) != meet(X_11,join(X_181,meet(X_180,X_11)))
    | meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) = meet(X_11,join(X_181,meet(X_180,X_11))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))),meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180))))) )],[refute_0_1436,refute_0_1437]) ).

cnf(refute_0_1439,plain,
    meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) = meet(X_11,join(X_181,meet(X_180,X_11))),
    inference(resolve,[$cnf( $equal(meet(join(X_180,X_181),meet(X_11,join(X_181,meet(X_11,X_180)))),meet(X_11,join(X_181,meet(X_180,X_11)))) )],[refute_0_1435,refute_0_1438]) ).

cnf(refute_0_1440,plain,
    meet(meet(X,join(X_25,join(X_26,X))),Z) = meet(X,meet(join(X_25,join(X_26,X)),Z)),
    inference(subst,[],[associativity_of_meet:[bind(Y,$fot(join(X_25,join(X_26,X))))]]) ).

cnf(refute_0_1441,plain,
    meet(X,join(X_25,join(X_26,X))) = X,
    inference(subst,[],[refute_0_78:[bind(X_19,$fot(X_25)),bind(X_20,$fot(X_26))]]) ).

cnf(refute_0_1442,plain,
    ( meet(X,join(X_25,join(X_26,X))) != X
    | meet(meet(X,join(X_25,join(X_26,X))),Z) != meet(X,meet(join(X_25,join(X_26,X)),Z))
    | meet(X,Z) = meet(X,meet(join(X_25,join(X_26,X)),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,join(X_25,join(X_26,X))),Z),meet(X,meet(join(X_25,join(X_26,X)),Z))) ),[0,0],$fot(X)]]) ).

cnf(refute_0_1443,plain,
    ( meet(meet(X,join(X_25,join(X_26,X))),Z) != meet(X,meet(join(X_25,join(X_26,X)),Z))
    | meet(X,Z) = meet(X,meet(join(X_25,join(X_26,X)),Z)) ),
    inference(resolve,[$cnf( $equal(meet(X,join(X_25,join(X_26,X))),X) )],[refute_0_1441,refute_0_1442]) ).

cnf(refute_0_1444,plain,
    meet(X,Z) = meet(X,meet(join(X_25,join(X_26,X)),Z)),
    inference(resolve,[$cnf( $equal(meet(meet(X,join(X_25,join(X_26,X))),Z),meet(X,meet(join(X_25,join(X_26,X)),Z))) )],[refute_0_1440,refute_0_1443]) ).

cnf(refute_0_1445,plain,
    meet(meet(X_11,X_15),X_125) = meet(meet(X_11,X_15),meet(join(X_126,join(meet(X_15,X_11),meet(X_11,X_15))),X_125)),
    inference(subst,[],[refute_0_1444:[bind(X,$fot(meet(X_11,X_15))),bind(Z,$fot(X_125)),bind(X_25,$fot(X_126)),bind(X_26,$fot(meet(X_15,X_11)))]]) ).

cnf(refute_0_1446,plain,
    ( join(meet(X_15,X_11),meet(X_11,X_15)) != meet(X_15,X_11)
    | meet(meet(X_11,X_15),X_125) != meet(meet(X_11,X_15),meet(join(X_126,join(meet(X_15,X_11),meet(X_11,X_15))),X_125))
    | meet(meet(X_11,X_15),X_125) = meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_11,X_15),X_125),meet(meet(X_11,X_15),meet(join(X_126,join(meet(X_15,X_11),meet(X_11,X_15))),X_125))) ),[1,1,0,1],$fot(meet(X_15,X_11))]]) ).

cnf(refute_0_1447,plain,
    ( meet(meet(X_11,X_15),X_125) != meet(meet(X_11,X_15),meet(join(X_126,join(meet(X_15,X_11),meet(X_11,X_15))),X_125))
    | meet(meet(X_11,X_15),X_125) = meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_15,X_11),meet(X_11,X_15)),meet(X_15,X_11)) )],[refute_0_91,refute_0_1446]) ).

cnf(refute_0_1448,plain,
    meet(meet(X_11,X_15),X_125) = meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125)),
    inference(resolve,[$cnf( $equal(meet(meet(X_11,X_15),X_125),meet(meet(X_11,X_15),meet(join(X_126,join(meet(X_15,X_11),meet(X_11,X_15))),X_125))) )],[refute_0_1445,refute_0_1447]) ).

cnf(refute_0_1449,plain,
    meet(meet(X_11,X_15),X_125) = meet(X_11,meet(X_15,X_125)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_11)),bind(Y,$fot(X_15)),bind(Z,$fot(X_125))]]) ).

cnf(refute_0_1450,plain,
    ( meet(meet(X_11,X_15),X_125) != meet(X_11,meet(X_15,X_125))
    | meet(meet(X_11,X_15),X_125) != meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125))
    | meet(X_11,meet(X_15,X_125)) = meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_11,X_15),X_125),meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125))) ),[0],$fot(meet(X_11,meet(X_15,X_125)))]]) ).

cnf(refute_0_1451,plain,
    ( meet(meet(X_11,X_15),X_125) != meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125))
    | meet(X_11,meet(X_15,X_125)) = meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_11,X_15),X_125),meet(X_11,meet(X_15,X_125))) )],[refute_0_1449,refute_0_1450]) ).

cnf(refute_0_1452,plain,
    meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125)) = meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_11)),bind(Y,$fot(X_15)),bind(Z,$fot(meet(join(X_126,meet(X_15,X_11)),X_125)))]]) ).

cnf(refute_0_1453,plain,
    ( meet(X_11,meet(X_15,X_125)) != meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125))
    | meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125)) != meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)))
    | meet(X_11,meet(X_15,X_125)) = meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_11,meet(X_15,X_125)),meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)))) ),[0],$fot(meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125)))]]) ).

cnf(refute_0_1454,plain,
    ( meet(X_11,meet(X_15,X_125)) != meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125))
    | meet(X_11,meet(X_15,X_125)) = meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125)),meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)))) )],[refute_0_1452,refute_0_1453]) ).

cnf(refute_0_1455,plain,
    ( meet(meet(X_11,X_15),X_125) != meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125))
    | meet(X_11,meet(X_15,X_125)) = meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_15,X_125)),meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125))) )],[refute_0_1451,refute_0_1454]) ).

cnf(refute_0_1456,plain,
    meet(X_11,meet(X_15,X_125)) = meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))),
    inference(resolve,[$cnf( $equal(meet(meet(X_11,X_15),X_125),meet(meet(X_11,X_15),meet(join(X_126,meet(X_15,X_11)),X_125))) )],[refute_0_1448,refute_0_1455]) ).

cnf(refute_0_1457,plain,
    meet(X_11,meet(X_15,meet(join(X_11,X_126),X_125))) = meet(X_11,meet(X_125,X_15)),
    inference(subst,[],[refute_0_183:[bind(Y,$fot(X_126)),bind(X_16,$fot(X_11)),bind(X_51,$fot(X_15)),bind(X_53,$fot(X_125))]]) ).

cnf(refute_0_1458,plain,
    meet(meet(X_39,join(X_40,X_41)),X_18) = meet(meet(X_39,join(X_40,X_41)),meet(join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))),X_18)),
    inference(subst,[],[refute_0_145:[bind(Y,$fot(meet(X_41,join(X_39,meet(X_40,X_41))))),bind(X_16,$fot(meet(X_39,join(X_40,X_41))))]]) ).

cnf(refute_0_1459,plain,
    ( join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))) != meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))
    | meet(meet(X_39,join(X_40,X_41)),X_18) != meet(meet(X_39,join(X_40,X_41)),meet(join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))),X_18))
    | meet(meet(X_39,join(X_40,X_41)),X_18) = meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),X_18),meet(meet(X_39,join(X_40,X_41)),meet(join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))),X_18))) ),[1,1,0],$fot(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))))]]) ).

cnf(refute_0_1460,plain,
    ( meet(meet(X_39,join(X_40,X_41)),X_18) != meet(meet(X_39,join(X_40,X_41)),meet(join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))),X_18))
    | meet(meet(X_39,join(X_40,X_41)),X_18) = meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))),meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40)))) )],[refute_0_228,refute_0_1459]) ).

cnf(refute_0_1461,plain,
    meet(meet(X_39,join(X_40,X_41)),X_18) = meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)),
    inference(resolve,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),X_18),meet(meet(X_39,join(X_40,X_41)),meet(join(meet(X_39,join(X_40,X_41)),meet(X_41,join(X_39,meet(X_40,X_41)))),X_18))) )],[refute_0_1458,refute_0_1460]) ).

cnf(refute_0_1462,plain,
    meet(meet(X_39,join(X_40,X_41)),X_18) = meet(X_39,meet(join(X_40,X_41),X_18)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_39)),bind(Y,$fot(join(X_40,X_41))),bind(Z,$fot(X_18))]]) ).

cnf(refute_0_1463,plain,
    ( meet(meet(X_39,join(X_40,X_41)),X_18) != meet(X_39,meet(join(X_40,X_41),X_18))
    | meet(meet(X_39,join(X_40,X_41)),X_18) != meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))
    | meet(X_39,meet(join(X_40,X_41),X_18)) = meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),X_18),meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) ),[0],$fot(meet(X_39,meet(join(X_40,X_41),X_18)))]]) ).

cnf(refute_0_1464,plain,
    ( meet(meet(X_39,join(X_40,X_41)),X_18) != meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))
    | meet(X_39,meet(join(X_40,X_41),X_18)) = meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),X_18),meet(X_39,meet(join(X_40,X_41),X_18))) )],[refute_0_1462,refute_0_1463]) ).

cnf(refute_0_1465,plain,
    meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18) = meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(join(X_39,meet(X_40,X_41)))),bind(Y,$fot(join(X_41,meet(X_39,X_40)))),bind(Z,$fot(X_18))]]) ).

cnf(refute_0_1466,plain,
    meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) = meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)),
    introduced(tautology,[refl,[$fot(meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)))]]) ).

cnf(refute_0_1467,plain,
    ( meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) != meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))
    | meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18) != meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))
    | meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) = meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)),meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) ),[1,1],$fot(meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))]]) ).

cnf(refute_0_1468,plain,
    ( meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18) != meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))
    | meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) = meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)),meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) )],[refute_0_1466,refute_0_1467]) ).

cnf(refute_0_1469,plain,
    meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) = meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))),
    inference(resolve,[$cnf( $equal(meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))) )],[refute_0_1465,refute_0_1468]) ).

cnf(refute_0_1470,plain,
    meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) = meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))),
    introduced(tautology,[refl,[$fot(meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))))]]) ).

cnf(refute_0_1471,plain,
    ( meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) != meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)))
    | meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) != meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))
    | meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) = meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))),meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)))) ),[1,1],$fot(meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))]]) ).

cnf(refute_0_1472,plain,
    ( meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) != meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))
    | meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) = meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) ),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))),meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)))) )],[refute_0_1470,refute_0_1471]) ).

cnf(refute_0_1473,plain,
    meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) = meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))),
    inference(resolve,[$cnf( $equal(meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)),meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) )],[refute_0_1469,refute_0_1472]) ).

cnf(refute_0_1474,plain,
    meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))),
    inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_39)),bind(Y,$fot(join(X_40,X_41))),bind(Z,$fot(meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)))]]) ).

cnf(refute_0_1475,plain,
    ( meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) != meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))
    | meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) != meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)))
    | meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)))),bind(Y0,$fot(meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))))),bind(Z0,$fot(meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))))]]) ).

cnf(refute_0_1476,plain,
    ( meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) != meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))
    | meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)),meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)))) )],[refute_0_1474,refute_0_1475]) ).

cnf(refute_0_1477,plain,
    meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))),meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))) )],[refute_0_1473,refute_0_1476]) ).

cnf(refute_0_1478,plain,
    ( meet(X_39,meet(join(X_40,X_41),X_18)) != meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))
    | meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)) != meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))
    | meet(X_39,meet(join(X_40,X_41),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_39,meet(join(X_40,X_41),X_18)),meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))) ),[0],$fot(meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)))]]) ).

cnf(refute_0_1479,plain,
    ( meet(X_39,meet(join(X_40,X_41),X_18)) != meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))
    | meet(X_39,meet(join(X_40,X_41),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) ),
    inference(resolve,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18)),meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))) )],[refute_0_1477,refute_0_1478]) ).

cnf(refute_0_1480,plain,
    ( meet(meet(X_39,join(X_40,X_41)),X_18) != meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))
    | meet(X_39,meet(join(X_40,X_41),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) ),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),X_18)),meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) )],[refute_0_1464,refute_0_1479]) ).

cnf(refute_0_1481,plain,
    meet(X_39,meet(join(X_40,X_41),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))),
    inference(resolve,[$cnf( $equal(meet(meet(X_39,join(X_40,X_41)),X_18),meet(meet(X_39,join(X_40,X_41)),meet(meet(join(X_39,meet(X_40,X_41)),join(X_41,meet(X_39,X_40))),X_18))) )],[refute_0_1461,refute_0_1480]) ).

cnf(refute_0_1482,plain,
    meet(X_14,meet(X_14,meet(X_53,X_51))) = meet(X_14,meet(X_53,X_51)),
    inference(subst,[],[refute_0_53:[bind(X_15,$fot(meet(X_53,X_51)))]]) ).

cnf(refute_0_1483,plain,
    meet(X_51,meet(X_14,X_53)) = meet(X_14,meet(X_53,X_51)),
    inference(subst,[],[refute_0_175:[bind(X,$fot(X_51)),bind(X_16,$fot(X_14)),bind(X_17,$fot(X_53))]]) ).

cnf(refute_0_1484,plain,
    ( meet(X_51,meet(X_14,X_53)) != meet(X_14,meet(X_53,X_51))
    | meet(X_14,meet(X_53,X_51)) = meet(X_51,meet(X_14,X_53)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_51,meet(X_14,X_53)))),bind(Y0,$fot(meet(X_14,meet(X_53,X_51))))]]) ).

cnf(refute_0_1485,plain,
    meet(X_14,meet(X_53,X_51)) = meet(X_51,meet(X_14,X_53)),
    inference(resolve,[$cnf( $equal(meet(X_51,meet(X_14,X_53)),meet(X_14,meet(X_53,X_51))) )],[refute_0_1483,refute_0_1484]) ).

cnf(refute_0_1486,plain,
    ( meet(X_14,meet(X_14,meet(X_53,X_51))) != meet(X_14,meet(X_53,X_51))
    | meet(X_14,meet(X_53,X_51)) != meet(X_51,meet(X_14,X_53))
    | meet(X_14,meet(X_51,meet(X_14,X_53))) = meet(X_14,meet(X_53,X_51)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_14,meet(X_14,meet(X_53,X_51))),meet(X_14,meet(X_53,X_51))) ),[0,1],$fot(meet(X_51,meet(X_14,X_53)))]]) ).

cnf(refute_0_1487,plain,
    ( meet(X_14,meet(X_14,meet(X_53,X_51))) != meet(X_14,meet(X_53,X_51))
    | meet(X_14,meet(X_51,meet(X_14,X_53))) = meet(X_14,meet(X_53,X_51)) ),
    inference(resolve,[$cnf( $equal(meet(X_14,meet(X_53,X_51)),meet(X_51,meet(X_14,X_53))) )],[refute_0_1485,refute_0_1486]) ).

cnf(refute_0_1488,plain,
    meet(X_14,meet(X_51,meet(X_14,X_53))) = meet(X_14,meet(X_53,X_51)),
    inference(resolve,[$cnf( $equal(meet(X_14,meet(X_14,meet(X_53,X_51))),meet(X_14,meet(X_53,X_51))) )],[refute_0_1482,refute_0_1487]) ).

cnf(refute_0_1489,plain,
    meet(X_14,meet(X_51,meet(X_14,X_53))) = meet(X_14,meet(X_51,X_53)),
    inference(subst,[],[refute_0_239:[bind(X_11,$fot(X_51)),bind(X_16,$fot(X_14)),bind(X_18,$fot(X_53))]]) ).

cnf(refute_0_1490,plain,
    ( meet(X_14,meet(X_51,meet(X_14,X_53))) != meet(X_14,meet(X_51,X_53))
    | meet(X_14,meet(X_51,meet(X_14,X_53))) != meet(X_14,meet(X_53,X_51))
    | meet(X_14,meet(X_51,X_53)) = meet(X_14,meet(X_53,X_51)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_14,meet(X_51,meet(X_14,X_53))),meet(X_14,meet(X_53,X_51))) ),[0],$fot(meet(X_14,meet(X_51,X_53)))]]) ).

cnf(refute_0_1491,plain,
    ( meet(X_14,meet(X_51,meet(X_14,X_53))) != meet(X_14,meet(X_53,X_51))
    | meet(X_14,meet(X_51,X_53)) = meet(X_14,meet(X_53,X_51)) ),
    inference(resolve,[$cnf( $equal(meet(X_14,meet(X_51,meet(X_14,X_53))),meet(X_14,meet(X_51,X_53))) )],[refute_0_1489,refute_0_1490]) ).

cnf(refute_0_1492,plain,
    meet(X_14,meet(X_51,X_53)) = meet(X_14,meet(X_53,X_51)),
    inference(resolve,[$cnf( $equal(meet(X_14,meet(X_51,meet(X_14,X_53))),meet(X_14,meet(X_53,X_51))) )],[refute_0_1488,refute_0_1491]) ).

cnf(refute_0_1493,plain,
    ( meet(X_14,meet(X_51,X_53)) != meet(X_14,meet(X_53,X_51))
    | meet(X_14,meet(X_53,X_51)) = meet(X_14,meet(X_51,X_53)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_14,meet(X_51,X_53)))),bind(Y0,$fot(meet(X_14,meet(X_53,X_51))))]]) ).

cnf(refute_0_1494,plain,
    meet(X_14,meet(X_53,X_51)) = meet(X_14,meet(X_51,X_53)),
    inference(resolve,[$cnf( $equal(meet(X_14,meet(X_51,X_53)),meet(X_14,meet(X_53,X_51))) )],[refute_0_1492,refute_0_1493]) ).

cnf(refute_0_1495,plain,
    meet(X_39,meet(meet(join(X_41,meet(X_39,X_40)),X_18),join(X_40,X_41))) = meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))),
    inference(subst,[],[refute_0_1494:[bind(X_14,$fot(X_39)),bind(X_51,$fot(join(X_40,X_41))),bind(X_53,$fot(meet(join(X_41,meet(X_39,X_40)),X_18)))]]) ).

cnf(refute_0_1496,plain,
    meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) = meet(X_39,meet(meet(join(X_41,meet(X_39,X_40)),X_18),join(X_40,X_41))),
    inference(subst,[],[refute_0_183:[bind(Y,$fot(meet(X_40,X_41))),bind(X_16,$fot(X_39)),bind(X_51,$fot(join(X_40,X_41))),bind(X_53,$fot(meet(join(X_41,meet(X_39,X_40)),X_18)))]]) ).

cnf(refute_0_1497,plain,
    ( meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) != meet(X_39,meet(meet(join(X_41,meet(X_39,X_40)),X_18),join(X_40,X_41)))
    | meet(X_39,meet(meet(join(X_41,meet(X_39,X_40)),X_18),join(X_40,X_41))) != meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))
    | meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) = meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))))),bind(Y0,$fot(meet(X_39,meet(meet(join(X_41,meet(X_39,X_40)),X_18),join(X_40,X_41))))),bind(Z0,$fot(meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))))]]) ).

cnf(refute_0_1498,plain,
    ( meet(X_39,meet(meet(join(X_41,meet(X_39,X_40)),X_18),join(X_40,X_41))) != meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))
    | meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) = meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))) ),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))),meet(X_39,meet(meet(join(X_41,meet(X_39,X_40)),X_18),join(X_40,X_41)))) )],[refute_0_1496,refute_0_1497]) ).

cnf(refute_0_1499,plain,
    meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) = meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(meet(join(X_41,meet(X_39,X_40)),X_18),join(X_40,X_41))),meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))) )],[refute_0_1495,refute_0_1498]) ).

cnf(refute_0_1500,plain,
    ( meet(X_39,meet(join(X_40,X_41),X_18)) != meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))
    | meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))) != meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))
    | meet(X_39,meet(join(X_40,X_41),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_39,meet(join(X_40,X_41),X_18)),meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))) ),[0],$fot(meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))))]]) ).

cnf(refute_0_1501,plain,
    ( meet(X_39,meet(join(X_40,X_41),X_18)) != meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))
    | meet(X_39,meet(join(X_40,X_41),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))) ),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18)))),meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))) )],[refute_0_1499,refute_0_1500]) ).

cnf(refute_0_1502,plain,
    meet(X_39,meet(join(X_40,X_41),X_18)) = meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),X_18)),meet(X_39,meet(join(X_40,X_41),meet(join(X_39,meet(X_40,X_41)),meet(join(X_41,meet(X_39,X_40)),X_18))))) )],[refute_0_1481,refute_0_1501]) ).

cnf(refute_0_1503,plain,
    meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)) = meet(join(X_41,meet(X_39,X_40)),X_18),
    inference(subst,[],[refute_0_417:[bind(Y,$fot(X_18)),bind(X_154,$fot(X_39)),bind(X_156,$fot(X_41)),bind(X_25,$fot(X_40))]]) ).

cnf(refute_0_1504,plain,
    meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))) = meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))),
    introduced(tautology,[refl,[$fot(meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))))]]) ).

cnf(refute_0_1505,plain,
    ( meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))) != meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))
    | meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)) != meet(join(X_41,meet(X_39,X_40)),X_18)
    | meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))) = meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))),meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))) ),[1,1],$fot(meet(join(X_41,meet(X_39,X_40)),X_18))]]) ).

cnf(refute_0_1506,plain,
    ( meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)) != meet(join(X_41,meet(X_39,X_40)),X_18)
    | meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))) = meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18)) ),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))),meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))) )],[refute_0_1504,refute_0_1505]) ).

cnf(refute_0_1507,plain,
    meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))) = meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18)),
    inference(resolve,[$cnf( $equal(meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)),meet(join(X_41,meet(X_39,X_40)),X_18)) )],[refute_0_1503,refute_0_1506]) ).

cnf(refute_0_1508,plain,
    ( meet(X_39,meet(join(X_40,X_41),X_18)) != meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))
    | meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))) != meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18))
    | meet(X_39,meet(join(X_40,X_41),X_18)) = meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_39,meet(join(X_40,X_41),X_18)),meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18))) ),[0],$fot(meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))))]]) ).

cnf(refute_0_1509,plain,
    ( meet(X_39,meet(join(X_40,X_41),X_18)) != meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))
    | meet(X_39,meet(join(X_40,X_41),X_18)) = meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18)) ),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18))),meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18))) )],[refute_0_1507,refute_0_1508]) ).

cnf(refute_0_1510,plain,
    meet(X_39,meet(join(X_40,X_41),X_18)) = meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18)),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),X_18)),meet(X_39,meet(join(X_40,X_41),meet(join(X_41,meet(X_39,X_40)),X_18)))) )],[refute_0_1502,refute_0_1509]) ).

cnf(refute_0_1511,plain,
    ( meet(X_39,meet(join(X_40,X_41),X_18)) != meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18))
    | meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18)) = meet(X_39,meet(join(X_40,X_41),X_18)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_39,meet(join(X_40,X_41),X_18)))),bind(Y0,$fot(meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18))))]]) ).

cnf(refute_0_1512,plain,
    meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18)) = meet(X_39,meet(join(X_40,X_41),X_18)),
    inference(resolve,[$cnf( $equal(meet(X_39,meet(join(X_40,X_41),X_18)),meet(X_39,meet(join(X_41,meet(X_39,X_40)),X_18))) )],[refute_0_1510,refute_0_1511]) ).

cnf(refute_0_1513,plain,
    meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)) = meet(X_15,meet(join(X_11,X_126),X_125)),
    inference(subst,[],[refute_0_1512:[bind(X_18,$fot(X_125)),bind(X_39,$fot(X_15)),bind(X_40,$fot(X_11)),bind(X_41,$fot(X_126))]]) ).

cnf(refute_0_1514,plain,
    meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) = meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))),
    introduced(tautology,[refl,[$fot(meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))))]]) ).

cnf(refute_0_1515,plain,
    ( meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) != meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)))
    | meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)) != meet(X_15,meet(join(X_11,X_126),X_125))
    | meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) = meet(X_11,meet(X_15,meet(join(X_11,X_126),X_125))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))),meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)))) ),[1,1],$fot(meet(X_15,meet(join(X_11,X_126),X_125)))]]) ).

cnf(refute_0_1516,plain,
    ( meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)) != meet(X_15,meet(join(X_11,X_126),X_125))
    | meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) = meet(X_11,meet(X_15,meet(join(X_11,X_126),X_125))) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))),meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)))) )],[refute_0_1514,refute_0_1515]) ).

cnf(refute_0_1517,plain,
    meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) = meet(X_11,meet(X_15,meet(join(X_11,X_126),X_125))),
    inference(resolve,[$cnf( $equal(meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)),meet(X_15,meet(join(X_11,X_126),X_125))) )],[refute_0_1513,refute_0_1516]) ).

cnf(refute_0_1518,plain,
    ( meet(X_11,meet(X_15,meet(join(X_11,X_126),X_125))) != meet(X_11,meet(X_125,X_15))
    | meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) != meet(X_11,meet(X_15,meet(join(X_11,X_126),X_125)))
    | meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) = meet(X_11,meet(X_125,X_15)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))))),bind(Y0,$fot(meet(X_11,meet(X_15,meet(join(X_11,X_126),X_125))))),bind(Z0,$fot(meet(X_11,meet(X_125,X_15))))]]) ).

cnf(refute_0_1519,plain,
    ( meet(X_11,meet(X_15,meet(join(X_11,X_126),X_125))) != meet(X_11,meet(X_125,X_15))
    | meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) = meet(X_11,meet(X_125,X_15)) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))),meet(X_11,meet(X_15,meet(join(X_11,X_126),X_125)))) )],[refute_0_1517,refute_0_1518]) ).

cnf(refute_0_1520,plain,
    meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) = meet(X_11,meet(X_125,X_15)),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_15,meet(join(X_11,X_126),X_125))),meet(X_11,meet(X_125,X_15))) )],[refute_0_1457,refute_0_1519]) ).

cnf(refute_0_1521,plain,
    ( meet(X_11,meet(X_15,X_125)) != meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)))
    | meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))) != meet(X_11,meet(X_125,X_15))
    | meet(X_11,meet(X_15,X_125)) = meet(X_11,meet(X_125,X_15)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_11,meet(X_15,X_125)),meet(X_11,meet(X_125,X_15))) ),[0],$fot(meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))))]]) ).

cnf(refute_0_1522,plain,
    ( meet(X_11,meet(X_15,X_125)) != meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)))
    | meet(X_11,meet(X_15,X_125)) = meet(X_11,meet(X_125,X_15)) ),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125))),meet(X_11,meet(X_125,X_15))) )],[refute_0_1520,refute_0_1521]) ).

cnf(refute_0_1523,plain,
    meet(X_11,meet(X_15,X_125)) = meet(X_11,meet(X_125,X_15)),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_15,X_125)),meet(X_11,meet(X_15,meet(join(X_126,meet(X_15,X_11)),X_125)))) )],[refute_0_1456,refute_0_1522]) ).

cnf(refute_0_1524,plain,
    ( meet(X_11,meet(X_15,X_125)) != meet(X_11,meet(X_125,X_15))
    | meet(X_11,meet(X_125,X_15)) = meet(X_11,meet(X_15,X_125)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_11,meet(X_15,X_125)))),bind(Y0,$fot(meet(X_11,meet(X_125,X_15))))]]) ).

cnf(refute_0_1525,plain,
    meet(X_11,meet(X_125,X_15)) = meet(X_11,meet(X_15,X_125)),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(X_15,X_125)),meet(X_11,meet(X_125,X_15))) )],[refute_0_1523,refute_0_1524]) ).

cnf(refute_0_1526,plain,
    meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) = meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))),
    inference(subst,[],[refute_0_1525:[bind(X_11,$fot(join(X_180,X_181))),bind(X_125,$fot(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))),bind(X_15,$fot(X_11))]]) ).

cnf(refute_0_1527,plain,
    ( meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) != meet(X_11,join(X_181,meet(X_180,X_11)))
    | meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) != meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))))
    | meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) = meet(X_11,join(X_181,meet(X_180,X_11))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)))),bind(Y0,$fot(meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))))),bind(Z0,$fot(meet(X_11,join(X_181,meet(X_180,X_11)))))]]) ).

cnf(refute_0_1528,plain,
    ( meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) != meet(X_11,join(X_181,meet(X_180,X_11)))
    | meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) = meet(X_11,join(X_181,meet(X_180,X_11))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)),meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))))) )],[refute_0_1526,refute_0_1527]) ).

cnf(refute_0_1529,plain,
    meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) = meet(X_11,join(X_181,meet(X_180,X_11))),
    inference(resolve,[$cnf( $equal(meet(join(X_180,X_181),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))),meet(X_11,join(X_181,meet(X_180,X_11)))) )],[refute_0_1439,refute_0_1528]) ).

cnf(refute_0_1530,plain,
    meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) = meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)),
    inference(subst,[],[refute_0_768:[bind(X_16,$fot(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))),bind(X_17,$fot(X_11)),bind(X_171,$fot(join(X_180,X_181)))]]) ).

cnf(refute_0_1531,plain,
    ( meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) != meet(X_11,join(X_181,meet(X_180,X_11)))
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) != meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11))
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) = meet(X_11,join(X_181,meet(X_180,X_11))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))))),bind(Y0,$fot(meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)))),bind(Z0,$fot(meet(X_11,join(X_181,meet(X_180,X_11)))))]]) ).

cnf(refute_0_1532,plain,
    ( meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) != meet(X_11,join(X_181,meet(X_180,X_11)))
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) = meet(X_11,join(X_181,meet(X_180,X_11))) ),
    inference(resolve,[$cnf( $equal(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))),meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11))) )],[refute_0_1530,refute_0_1531]) ).

cnf(refute_0_1533,plain,
    meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) = meet(X_11,join(X_181,meet(X_180,X_11))),
    inference(resolve,[$cnf( $equal(meet(join(X_180,X_181),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)),meet(X_11,join(X_181,meet(X_180,X_11)))) )],[refute_0_1529,refute_0_1532]) ).

cnf(refute_0_1534,plain,
    ( meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) != meet(X_11,join(X_181,meet(X_180,X_11)))
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) != meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)
    | meet(X_11,join(X_181,meet(X_180,X_11))) = meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) ),[0],$fot(meet(X_11,join(X_181,meet(X_180,X_11))))]]) ).

cnf(refute_0_1535,plain,
    ( meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) != meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)
    | meet(X_11,join(X_181,meet(X_180,X_11))) = meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11) ),
    inference(resolve,[$cnf( $equal(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))),meet(X_11,join(X_181,meet(X_180,X_11)))) )],[refute_0_1533,refute_0_1534]) ).

cnf(refute_0_1536,plain,
    meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11) = meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))),
    inference(subst,[],[refute_0_1187:[bind(X_109,$fot(X_11)),bind(X_11,$fot(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))))]]) ).

cnf(refute_0_1537,plain,
    ( meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))) != meet(X_11,join(X_180,X_181))
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11) != meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11) = meet(X_11,join(X_180,X_181)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11))),bind(Y0,$fot(meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))))),bind(Z0,$fot(meet(X_11,join(X_180,X_181))))]]) ).

cnf(refute_0_1538,plain,
    ( meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))) != meet(X_11,join(X_180,X_181))
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11) = meet(X_11,join(X_180,X_181)) ),
    inference(resolve,[$cnf( $equal(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11),meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))))) )],[refute_0_1536,refute_0_1537]) ).

cnf(refute_0_1539,plain,
    meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11) = meet(X_11,join(X_180,X_181)),
    inference(resolve,[$cnf( $equal(meet(X_11,meet(join(X_180,X_181),join(X_181,meet(X_11,X_180)))),meet(X_11,join(X_180,X_181))) )],[refute_0_1422,refute_0_1538]) ).

cnf(refute_0_1540,plain,
    ( meet(X_11,join(X_181,meet(X_180,X_11))) != meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)
    | meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11) != meet(X_11,join(X_180,X_181))
    | meet(X_11,join(X_181,meet(X_180,X_11))) = meet(X_11,join(X_180,X_181)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_11,join(X_181,meet(X_180,X_11))),meet(X_11,join(X_180,X_181))) ),[0],$fot(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11))]]) ).

cnf(refute_0_1541,plain,
    ( meet(X_11,join(X_181,meet(X_180,X_11))) != meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)
    | meet(X_11,join(X_181,meet(X_180,X_11))) = meet(X_11,join(X_180,X_181)) ),
    inference(resolve,[$cnf( $equal(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11),meet(X_11,join(X_180,X_181))) )],[refute_0_1539,refute_0_1540]) ).

cnf(refute_0_1542,plain,
    ( meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))) != meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)
    | meet(X_11,join(X_181,meet(X_180,X_11))) = meet(X_11,join(X_180,X_181)) ),
    inference(resolve,[$cnf( $equal(meet(X_11,join(X_181,meet(X_180,X_11))),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) )],[refute_0_1535,refute_0_1541]) ).

cnf(refute_0_1543,plain,
    meet(X_11,join(X_181,meet(X_180,X_11))) = meet(X_11,join(X_180,X_181)),
    inference(resolve,[$cnf( $equal(meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),meet(X_11,join(X_180,X_181))),meet(meet(join(X_180,X_181),join(X_181,meet(X_11,X_180))),X_11)) )],[refute_0_1425,refute_0_1542]) ).

cnf(refute_0_1544,plain,
    meet(X,join(Y,meet(X_85,X))) = meet(X,join(X_85,Y)),
    inference(subst,[],[refute_0_1543:[bind(X_11,$fot(X)),bind(X_180,$fot(X_85)),bind(X_181,$fot(Y))]]) ).

cnf(refute_0_1545,plain,
    ( meet(X,join(Y,meet(X_85,X))) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | meet(X,join(Y,meet(X_85,X))) != meet(X,join(X_85,Y))
    | meet(X,join(X_85,Y)) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,join(Y,meet(X_85,X))),join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))) ),[0],$fot(meet(X,join(X_85,Y)))]]) ).

cnf(refute_0_1546,plain,
    ( meet(X,join(Y,meet(X_85,X))) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | meet(X,join(X_85,Y)) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) ),
    inference(resolve,[$cnf( $equal(meet(X,join(Y,meet(X_85,X))),meet(X,join(X_85,Y))) )],[refute_0_1544,refute_0_1545]) ).

cnf(refute_0_1547,plain,
    join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) = join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))),
    introduced(tautology,[refl,[$fot(join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))))]]) ).

cnf(refute_0_1548,plain,
    ( join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | meet(X,join(Y,meet(X_85,X))) != meet(X,join(X_85,Y))
    | join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) = join(meet(X,X_85),meet(X,join(X_85,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))),join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))) ),[1,1],$fot(meet(X,join(X_85,Y)))]]) ).

cnf(refute_0_1549,plain,
    ( meet(X,join(Y,meet(X_85,X))) != meet(X,join(X_85,Y))
    | join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) = join(meet(X,X_85),meet(X,join(X_85,Y))) ),
    inference(resolve,[$cnf( $equal(join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))),join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))) )],[refute_0_1547,refute_0_1548]) ).

cnf(refute_0_1550,plain,
    join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) = join(meet(X,X_85),meet(X,join(X_85,Y))),
    inference(resolve,[$cnf( $equal(meet(X,join(Y,meet(X_85,X))),meet(X,join(X_85,Y))) )],[refute_0_1544,refute_0_1549]) ).

cnf(refute_0_1551,plain,
    ( join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))) != join(meet(X,X_85),meet(X,join(X_85,Y)))
    | meet(X,join(X_85,Y)) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | meet(X,join(X_85,Y)) = join(meet(X,X_85),meet(X,join(X_85,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X,join(X_85,Y)),join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))) ),[1],$fot(join(meet(X,X_85),meet(X,join(X_85,Y))))]]) ).

cnf(refute_0_1552,plain,
    ( meet(X,join(X_85,Y)) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | meet(X,join(X_85,Y)) = join(meet(X,X_85),meet(X,join(X_85,Y))) ),
    inference(resolve,[$cnf( $equal(join(meet(X,X_85),meet(X,join(Y,meet(X_85,X)))),join(meet(X,X_85),meet(X,join(X_85,Y)))) )],[refute_0_1550,refute_0_1551]) ).

cnf(refute_0_1553,plain,
    ( meet(X,join(Y,meet(X_85,X))) != join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))
    | meet(X,join(X_85,Y)) = join(meet(X,X_85),meet(X,join(X_85,Y))) ),
    inference(resolve,[$cnf( $equal(meet(X,join(X_85,Y)),join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))) )],[refute_0_1546,refute_0_1552]) ).

cnf(refute_0_1554,plain,
    meet(X,join(X_85,Y)) = join(meet(X,X_85),meet(X,join(X_85,Y))),
    inference(resolve,[$cnf( $equal(meet(X,join(Y,meet(X_85,X))),join(meet(X,X_85),meet(X,join(Y,meet(X_85,X))))) )],[refute_0_1420,refute_0_1553]) ).

cnf(refute_0_1555,plain,
    ( meet(X,join(X_85,Y)) != join(meet(X,X_85),meet(X,join(X_85,Y)))
    | join(meet(X,X_85),meet(X,join(X_85,Y))) = meet(X,join(X_85,Y)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X,join(X_85,Y)))),bind(Y0,$fot(join(meet(X,X_85),meet(X,join(X_85,Y)))))]]) ).

cnf(refute_0_1556,plain,
    join(meet(X,X_85),meet(X,join(X_85,Y))) = meet(X,join(X_85,Y)),
    inference(resolve,[$cnf( $equal(meet(X,join(X_85,Y)),join(meet(X,X_85),meet(X,join(X_85,Y)))) )],[refute_0_1554,refute_0_1555]) ).

cnf(refute_0_1557,plain,
    join(meet(X_16,X_180),meet(X_16,join(X_180,X_181))) = meet(X_16,join(X_180,X_181)),
    inference(subst,[],[refute_0_1556:[bind(X,$fot(X_16)),bind(Y,$fot(X_181)),bind(X_85,$fot(X_180))]]) ).

cnf(refute_0_1558,plain,
    join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) = join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))),
    introduced(tautology,[refl,[$fot(join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))))]]) ).

cnf(refute_0_1559,plain,
    ( join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) != join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181))))
    | join(meet(X_16,X_180),meet(X_16,join(X_180,X_181))) != meet(X_16,join(X_180,X_181))
    | join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) = join(X_181,meet(X_16,join(X_180,X_181))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))),join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181))))) ),[1,1],$fot(meet(X_16,join(X_180,X_181)))]]) ).

cnf(refute_0_1560,plain,
    ( join(meet(X_16,X_180),meet(X_16,join(X_180,X_181))) != meet(X_16,join(X_180,X_181))
    | join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) = join(X_181,meet(X_16,join(X_180,X_181))) ),
    inference(resolve,[$cnf( $equal(join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))),join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181))))) )],[refute_0_1558,refute_0_1559]) ).

cnf(refute_0_1561,plain,
    join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) = join(X_181,meet(X_16,join(X_180,X_181))),
    inference(resolve,[$cnf( $equal(join(meet(X_16,X_180),meet(X_16,join(X_180,X_181))),meet(X_16,join(X_180,X_181))) )],[refute_0_1557,refute_0_1560]) ).

cnf(refute_0_1562,plain,
    ( join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) != join(X_181,meet(X_16,X_180))
    | join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) != join(X_181,meet(X_16,join(X_180,X_181)))
    | join(X_181,meet(X_16,join(X_180,X_181))) = join(X_181,meet(X_16,X_180)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))),join(X_181,meet(X_16,X_180))) ),[0],$fot(join(X_181,meet(X_16,join(X_180,X_181))))]]) ).

cnf(refute_0_1563,plain,
    ( join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))) != join(X_181,meet(X_16,X_180))
    | join(X_181,meet(X_16,join(X_180,X_181))) = join(X_181,meet(X_16,X_180)) ),
    inference(resolve,[$cnf( $equal(join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))),join(X_181,meet(X_16,join(X_180,X_181)))) )],[refute_0_1561,refute_0_1562]) ).

cnf(refute_0_1564,plain,
    join(X_181,meet(X_16,join(X_180,X_181))) = join(X_181,meet(X_16,X_180)),
    inference(resolve,[$cnf( $equal(join(X_181,join(meet(X_16,X_180),meet(X_16,join(X_180,X_181)))),join(X_181,meet(X_16,X_180))) )],[refute_0_1392,refute_0_1563]) ).

cnf(refute_0_1565,plain,
    join(X_102,meet(X_100,join(Y,X_102))) = join(X_102,meet(X_100,Y)),
    inference(subst,[],[refute_0_1564:[bind(X_16,$fot(X_100)),bind(X_180,$fot(Y)),bind(X_181,$fot(X_102))]]) ).

cnf(refute_0_1566,plain,
    ( join(X_102,meet(X_100,join(Y,X_102))) != join(X_102,meet(X_100,Y))
    | join(X_102,meet(X_100,join(X_102,Y))) != join(X_102,meet(X_100,join(Y,X_102)))
    | join(X_102,meet(X_100,join(X_102,Y))) = join(X_102,meet(X_100,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_102,meet(X_100,join(X_102,Y))),join(X_102,meet(X_100,join(Y,X_102)))) ),[1],$fot(join(X_102,meet(X_100,Y)))]]) ).

cnf(refute_0_1567,plain,
    ( join(X_102,meet(X_100,join(X_102,Y))) != join(X_102,meet(X_100,join(Y,X_102)))
    | join(X_102,meet(X_100,join(X_102,Y))) = join(X_102,meet(X_100,Y)) ),
    inference(resolve,[$cnf( $equal(join(X_102,meet(X_100,join(Y,X_102))),join(X_102,meet(X_100,Y))) )],[refute_0_1565,refute_0_1566]) ).

cnf(refute_0_1568,plain,
    ( meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))) != join(X_102,meet(X_100,join(Y,X_102)))
    | join(X_102,meet(X_100,join(X_102,Y))) = join(X_102,meet(X_100,Y)) ),
    inference(resolve,[$cnf( $equal(join(X_102,meet(X_100,join(X_102,Y))),join(X_102,meet(X_100,join(Y,X_102)))) )],[refute_0_1384,refute_0_1567]) ).

cnf(refute_0_1569,plain,
    join(X_102,meet(X_100,join(X_102,Y))) = join(X_102,meet(X_100,Y)),
    inference(resolve,[$cnf( $equal(meet(join(X_102,Y),join(X_102,meet(X_100,join(Y,X_102)))),join(X_102,meet(X_100,join(Y,X_102)))) )],[refute_0_1364,refute_0_1568]) ).

cnf(refute_0_1570,plain,
    join(X_21,meet(X_168,join(X_21,X_167))) = join(X_21,meet(X_168,X_167)),
    inference(subst,[],[refute_0_1569:[bind(Y,$fot(X_167)),bind(X_100,$fot(X_168)),bind(X_102,$fot(X_21))]]) ).

cnf(refute_0_1571,plain,
    join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))) = join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),
    introduced(tautology,[refl,[$fot(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))))]]) ).

cnf(refute_0_1572,plain,
    ( join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))) != join(X_20,join(X_21,meet(X_168,join(X_21,X_167))))
    | join(X_21,meet(X_168,join(X_21,X_167))) != join(X_21,meet(X_168,X_167))
    | join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))) = join(X_20,join(X_21,meet(X_168,X_167))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_20,join(X_21,meet(X_168,join(X_21,X_167))))) ),[1,1],$fot(join(X_21,meet(X_168,X_167)))]]) ).

cnf(refute_0_1573,plain,
    ( join(X_21,meet(X_168,join(X_21,X_167))) != join(X_21,meet(X_168,X_167))
    | join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))) = join(X_20,join(X_21,meet(X_168,X_167))) ),
    inference(resolve,[$cnf( $equal(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_20,join(X_21,meet(X_168,join(X_21,X_167))))) )],[refute_0_1571,refute_0_1572]) ).

cnf(refute_0_1574,plain,
    join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))) = join(X_20,join(X_21,meet(X_168,X_167))),
    inference(resolve,[$cnf( $equal(join(X_21,meet(X_168,join(X_21,X_167))),join(X_21,meet(X_168,X_167))) )],[refute_0_1570,refute_0_1573]) ).

cnf(refute_0_1575,plain,
    meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),
    introduced(tautology,[refl,[$fot(meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))))]]) ).

cnf(refute_0_1576,plain,
    ( join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))) != join(X_20,join(X_21,meet(X_168,X_167)))
    | meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))
    | meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))) ),[1,0],$fot(join(X_20,join(X_21,meet(X_168,X_167))))]]) ).

cnf(refute_0_1577,plain,
    ( join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))) != join(X_20,join(X_21,meet(X_168,X_167)))
    | meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))) )],[refute_0_1575,refute_0_1576]) ).

cnf(refute_0_1578,plain,
    meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),
    inference(resolve,[$cnf( $equal(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_20,join(X_21,meet(X_168,X_167)))) )],[refute_0_1574,refute_0_1577]) ).

cnf(refute_0_1579,plain,
    ( meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))
    | meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))
    | meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))) ),[0],$fot(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))))]]) ).

cnf(refute_0_1580,plain,
    ( meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))
    | meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))) )],[refute_0_1578,refute_0_1579]) ).

cnf(refute_0_1581,plain,
    meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,join(X_21,X_167)))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))) )],[refute_0_1355,refute_0_1580]) ).

cnf(refute_0_1582,plain,
    meet(join(X_143,join(X_19,meet(X_34,X_35))),join(X_143,join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))))) = join(X_143,join(X_19,meet(X_34,X_35))),
    inference(subst,[],[refute_0_1223:[bind(Y,$fot(meet(X_35,X_34))),bind(X_31,$fot(X_143)),bind(X_33,$fot(join(X_19,meet(X_34,X_35))))]]) ).

cnf(refute_0_1583,plain,
    ( join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))) != join(X_19,meet(X_35,X_34))
    | meet(join(X_143,join(X_19,meet(X_34,X_35))),join(X_143,join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))))) != join(X_143,join(X_19,meet(X_34,X_35)))
    | meet(join(X_143,join(X_19,meet(X_34,X_35))),join(X_143,join(X_19,meet(X_35,X_34)))) = join(X_143,join(X_19,meet(X_34,X_35))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_143,join(X_19,meet(X_34,X_35))),join(X_143,join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))))),join(X_143,join(X_19,meet(X_34,X_35)))) ),[0,1,1],$fot(join(X_19,meet(X_35,X_34)))]]) ).

cnf(refute_0_1584,plain,
    ( meet(join(X_143,join(X_19,meet(X_34,X_35))),join(X_143,join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))))) != join(X_143,join(X_19,meet(X_34,X_35)))
    | meet(join(X_143,join(X_19,meet(X_34,X_35))),join(X_143,join(X_19,meet(X_35,X_34)))) = join(X_143,join(X_19,meet(X_34,X_35))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))),join(X_19,meet(X_35,X_34))) )],[refute_0_373,refute_0_1583]) ).

cnf(refute_0_1585,plain,
    meet(join(X_143,join(X_19,meet(X_34,X_35))),join(X_143,join(X_19,meet(X_35,X_34)))) = join(X_143,join(X_19,meet(X_34,X_35))),
    inference(resolve,[$cnf( $equal(meet(join(X_143,join(X_19,meet(X_34,X_35))),join(X_143,join(meet(X_35,X_34),join(X_19,meet(X_34,X_35))))),join(X_143,join(X_19,meet(X_34,X_35)))) )],[refute_0_1582,refute_0_1584]) ).

cnf(refute_0_1586,plain,
    meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_20,join(X_21,meet(X_167,X_168)))) = join(X_20,join(X_21,meet(X_168,X_167))),
    inference(subst,[],[refute_0_1585:[bind(X_143,$fot(X_20)),bind(X_19,$fot(X_21)),bind(X_34,$fot(X_168)),bind(X_35,$fot(X_167))]]) ).

cnf(refute_0_1587,plain,
    join(join(X,meet(join(X_168,X),X_167)),Z) = join(X,join(meet(join(X_168,X),X_167),Z)),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(join(X_168,X),X_167)))]]) ).

cnf(refute_0_1588,plain,
    join(X,meet(join(X_168,X),X_167)) = join(X,meet(join(X,X_167),X_168)),
    inference(subst,[],[refute_0_1252:[bind(Y,$fot(X_167)),bind(X_39,$fot(X_168)),bind(X_40,$fot(X))]]) ).

cnf(refute_0_1589,plain,
    ( join(X,meet(join(X_168,X),X_167)) != join(X,meet(join(X,X_167),X_168))
    | join(join(X,meet(join(X_168,X),X_167)),Z) != join(X,join(meet(join(X_168,X),X_167),Z))
    | join(join(X,meet(join(X,X_167),X_168)),Z) = join(X,join(meet(join(X_168,X),X_167),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(join(X_168,X),X_167)),Z),join(X,join(meet(join(X_168,X),X_167),Z))) ),[0,0],$fot(join(X,meet(join(X,X_167),X_168)))]]) ).

cnf(refute_0_1590,plain,
    ( join(join(X,meet(join(X_168,X),X_167)),Z) != join(X,join(meet(join(X_168,X),X_167),Z))
    | join(join(X,meet(join(X,X_167),X_168)),Z) = join(X,join(meet(join(X_168,X),X_167),Z)) ),
    inference(resolve,[$cnf( $equal(join(X,meet(join(X_168,X),X_167)),join(X,meet(join(X,X_167),X_168))) )],[refute_0_1588,refute_0_1589]) ).

cnf(refute_0_1591,plain,
    join(join(X,meet(join(X,X_167),X_168)),Z) = join(X,join(meet(join(X_168,X),X_167),Z)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(join(X_168,X),X_167)),Z),join(X,join(meet(join(X_168,X),X_167),Z))) )],[refute_0_1587,refute_0_1590]) ).

cnf(refute_0_1592,plain,
    join(join(X,meet(join(X,X_167),X_168)),Z) = join(X,join(meet(join(X,X_167),X_168),Z)),
    inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(join(X,X_167),X_168)))]]) ).

cnf(refute_0_1593,plain,
    ( join(join(X,meet(join(X,X_167),X_168)),Z) != join(X,join(meet(join(X,X_167),X_168),Z))
    | join(join(X,meet(join(X,X_167),X_168)),Z) != join(X,join(meet(join(X_168,X),X_167),Z))
    | join(X,join(meet(join(X,X_167),X_168),Z)) = join(X,join(meet(join(X_168,X),X_167),Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(join(X,X_167),X_168)),Z),join(X,join(meet(join(X_168,X),X_167),Z))) ),[0],$fot(join(X,join(meet(join(X,X_167),X_168),Z)))]]) ).

cnf(refute_0_1594,plain,
    ( join(join(X,meet(join(X,X_167),X_168)),Z) != join(X,join(meet(join(X_168,X),X_167),Z))
    | join(X,join(meet(join(X,X_167),X_168),Z)) = join(X,join(meet(join(X_168,X),X_167),Z)) ),
    inference(resolve,[$cnf( $equal(join(join(X,meet(join(X,X_167),X_168)),Z),join(X,join(meet(join(X,X_167),X_168),Z))) )],[refute_0_1592,refute_0_1593]) ).

cnf(refute_0_1595,plain,
    join(X,join(meet(join(X,X_167),X_168),Z)) = join(X,join(meet(join(X_168,X),X_167),Z)),
    inference(resolve,[$cnf( $equal(join(join(X,meet(join(X,X_167),X_168)),Z),join(X,join(meet(join(X_168,X),X_167),Z))) )],[refute_0_1591,refute_0_1594]) ).

cnf(refute_0_1596,plain,
    join(X,join(X_19,meet(join(X_168,X_19),X_167))) = join(X_19,join(meet(join(X_168,X_19),X_167),X)),
    inference(subst,[],[refute_0_354:[bind(X_20,$fot(meet(join(X_168,X_19),X_167)))]]) ).

cnf(refute_0_1597,plain,
    join(X_19,meet(join(X_168,X_19),X_167)) = join(X_19,meet(join(X_19,X_167),X_168)),
    inference(subst,[],[refute_0_1252:[bind(Y,$fot(X_167)),bind(X_39,$fot(X_168)),bind(X_40,$fot(X_19))]]) ).

cnf(refute_0_1598,plain,
    ( join(X,join(X_19,meet(join(X_168,X_19),X_167))) != join(X_19,join(meet(join(X_168,X_19),X_167),X))
    | join(X_19,meet(join(X_168,X_19),X_167)) != join(X_19,meet(join(X_19,X_167),X_168))
    | join(X,join(X_19,meet(join(X_19,X_167),X_168))) = join(X_19,join(meet(join(X_168,X_19),X_167),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(X_19,meet(join(X_168,X_19),X_167))),join(X_19,join(meet(join(X_168,X_19),X_167),X))) ),[0,1],$fot(join(X_19,meet(join(X_19,X_167),X_168)))]]) ).

cnf(refute_0_1599,plain,
    ( join(X,join(X_19,meet(join(X_168,X_19),X_167))) != join(X_19,join(meet(join(X_168,X_19),X_167),X))
    | join(X,join(X_19,meet(join(X_19,X_167),X_168))) = join(X_19,join(meet(join(X_168,X_19),X_167),X)) ),
    inference(resolve,[$cnf( $equal(join(X_19,meet(join(X_168,X_19),X_167)),join(X_19,meet(join(X_19,X_167),X_168))) )],[refute_0_1597,refute_0_1598]) ).

cnf(refute_0_1600,plain,
    join(X,join(X_19,meet(join(X_19,X_167),X_168))) = join(X_19,join(meet(join(X_168,X_19),X_167),X)),
    inference(resolve,[$cnf( $equal(join(X,join(X_19,meet(join(X_168,X_19),X_167))),join(X_19,join(meet(join(X_168,X_19),X_167),X))) )],[refute_0_1596,refute_0_1599]) ).

cnf(refute_0_1601,plain,
    join(X_32,meet(join(X_168,X_32),X_167)) = join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))),
    inference(subst,[],[refute_0_388:[bind(X_31,$fot(meet(join(X_168,X_32),X_167)))]]) ).

cnf(refute_0_1602,plain,
    ( join(X_32,meet(join(X_168,X_32),X_167)) != join(X_32,meet(join(X_32,X_167),X_168))
    | join(X_32,meet(join(X_168,X_32),X_167)) != join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167))))
    | join(X_32,meet(join(X_32,X_167),X_168)) = join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,meet(join(X_168,X_32),X_167)),join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167))))) ),[0],$fot(join(X_32,meet(join(X_32,X_167),X_168)))]]) ).

cnf(refute_0_1603,plain,
    ( join(X_32,meet(join(X_168,X_32),X_167)) != join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167))))
    | join(X_32,meet(join(X_32,X_167),X_168)) = join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))) ),
    inference(resolve,[$cnf( $equal(join(X_32,meet(join(X_168,X_32),X_167)),join(X_32,meet(join(X_32,X_167),X_168))) )],[refute_0_1314,refute_0_1602]) ).

cnf(refute_0_1604,plain,
    join(X_32,meet(join(X_32,X_167),X_168)) = join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))),
    inference(resolve,[$cnf( $equal(join(X_32,meet(join(X_168,X_32),X_167)),join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167))))) )],[refute_0_1601,refute_0_1603]) ).

cnf(refute_0_1605,plain,
    join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167))) = meet(X_167,join(X_168,X_32)),
    inference(subst,[],[refute_0_1324:[bind(X_11,$fot(X_167)),bind(X_84,$fot(X_11)),bind(X_85,$fot(join(X_168,X_32)))]]) ).

cnf(refute_0_1606,plain,
    join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))) = join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))),
    introduced(tautology,[refl,[$fot(join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))))]]) ).

cnf(refute_0_1607,plain,
    ( join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))) != join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167))))
    | join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167))) != meet(X_167,join(X_168,X_32))
    | join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))) = join(X_32,meet(X_167,join(X_168,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))),join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167))))) ),[1,1],$fot(meet(X_167,join(X_168,X_32)))]]) ).

cnf(refute_0_1608,plain,
    ( join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167))) != meet(X_167,join(X_168,X_32))
    | join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))) = join(X_32,meet(X_167,join(X_168,X_32))) ),
    inference(resolve,[$cnf( $equal(join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))),join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167))))) )],[refute_0_1606,refute_0_1607]) ).

cnf(refute_0_1609,plain,
    join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))) = join(X_32,meet(X_167,join(X_168,X_32))),
    inference(resolve,[$cnf( $equal(join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167))),meet(X_167,join(X_168,X_32))) )],[refute_0_1605,refute_0_1608]) ).

cnf(refute_0_1610,plain,
    join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))) = join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))),
    inference(subst,[],[refute_0_1336:[bind(X_165,$fot(join(X_168,X_32))),bind(X_166,$fot(X_167)),bind(X_20,$fot(X_32)),bind(X_21,$fot(meet(X_11,meet(join(X_168,X_32),X_167))))]]) ).

cnf(refute_0_1611,plain,
    ( join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))) != join(X_32,meet(X_167,join(X_168,X_32)))
    | join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))) != join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167))))
    | join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))) = join(X_32,meet(X_167,join(X_168,X_32))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))))),bind(Y0,$fot(join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))))),bind(Z0,$fot(join(X_32,meet(X_167,join(X_168,X_32)))))]]) ).

cnf(refute_0_1612,plain,
    ( join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))) != join(X_32,meet(X_167,join(X_168,X_32)))
    | join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))) = join(X_32,meet(X_167,join(X_168,X_32))) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))),join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167))))) )],[refute_0_1610,refute_0_1611]) ).

cnf(refute_0_1613,plain,
    join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))) = join(X_32,meet(X_167,join(X_168,X_32))),
    inference(resolve,[$cnf( $equal(join(X_32,join(meet(X_167,join(X_168,X_32)),meet(X_11,meet(join(X_168,X_32),X_167)))),join(X_32,meet(X_167,join(X_168,X_32)))) )],[refute_0_1609,refute_0_1612]) ).

cnf(refute_0_1614,plain,
    ( join(X_32,meet(join(X_32,X_167),X_168)) != join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167))))
    | join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))) != join(X_32,meet(X_167,join(X_168,X_32)))
    | join(X_32,meet(join(X_32,X_167),X_168)) = join(X_32,meet(X_167,join(X_168,X_32))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_32,meet(join(X_32,X_167),X_168)),join(X_32,meet(X_167,join(X_168,X_32)))) ),[0],$fot(join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))))]]) ).

cnf(refute_0_1615,plain,
    ( join(X_32,meet(join(X_32,X_167),X_168)) != join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167))))
    | join(X_32,meet(join(X_32,X_167),X_168)) = join(X_32,meet(X_167,join(X_168,X_32))) ),
    inference(resolve,[$cnf( $equal(join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167)))),join(X_32,meet(X_167,join(X_168,X_32)))) )],[refute_0_1613,refute_0_1614]) ).

cnf(refute_0_1616,plain,
    join(X_32,meet(join(X_32,X_167),X_168)) = join(X_32,meet(X_167,join(X_168,X_32))),
    inference(resolve,[$cnf( $equal(join(X_32,meet(join(X_32,X_167),X_168)),join(meet(join(X_168,X_32),X_167),join(X_32,meet(X_11,meet(join(X_168,X_32),X_167))))) )],[refute_0_1604,refute_0_1615]) ).

cnf(refute_0_1617,plain,
    join(X_19,meet(join(X_19,X_167),X_168)) = join(X_19,meet(X_167,join(X_168,X_19))),
    inference(subst,[],[refute_0_1616:[bind(X_32,$fot(X_19))]]) ).

cnf(refute_0_1618,plain,
    join(X,join(X_19,meet(join(X_19,X_167),X_168))) = join(X,join(X_19,meet(join(X_19,X_167),X_168))),
    introduced(tautology,[refl,[$fot(join(X,join(X_19,meet(join(X_19,X_167),X_168))))]]) ).

cnf(refute_0_1619,plain,
    ( join(X,join(X_19,meet(join(X_19,X_167),X_168))) != join(X,join(X_19,meet(join(X_19,X_167),X_168)))
    | join(X_19,meet(join(X_19,X_167),X_168)) != join(X_19,meet(X_167,join(X_168,X_19)))
    | join(X,join(X_19,meet(join(X_19,X_167),X_168))) = join(X,join(X_19,meet(X_167,join(X_168,X_19)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(X_19,meet(join(X_19,X_167),X_168))),join(X,join(X_19,meet(join(X_19,X_167),X_168)))) ),[1,1],$fot(join(X_19,meet(X_167,join(X_168,X_19))))]]) ).

cnf(refute_0_1620,plain,
    ( join(X_19,meet(join(X_19,X_167),X_168)) != join(X_19,meet(X_167,join(X_168,X_19)))
    | join(X,join(X_19,meet(join(X_19,X_167),X_168))) = join(X,join(X_19,meet(X_167,join(X_168,X_19)))) ),
    inference(resolve,[$cnf( $equal(join(X,join(X_19,meet(join(X_19,X_167),X_168))),join(X,join(X_19,meet(join(X_19,X_167),X_168)))) )],[refute_0_1618,refute_0_1619]) ).

cnf(refute_0_1621,plain,
    join(X,join(X_19,meet(join(X_19,X_167),X_168))) = join(X,join(X_19,meet(X_167,join(X_168,X_19)))),
    inference(resolve,[$cnf( $equal(join(X_19,meet(join(X_19,X_167),X_168)),join(X_19,meet(X_167,join(X_168,X_19)))) )],[refute_0_1617,refute_0_1620]) ).

cnf(refute_0_1622,plain,
    ( join(X,join(X_19,meet(join(X_19,X_167),X_168))) != join(X,join(X_19,meet(X_167,join(X_168,X_19))))
    | join(X,join(X_19,meet(join(X_19,X_167),X_168))) != join(X_19,join(meet(join(X_168,X_19),X_167),X))
    | join(X,join(X_19,meet(X_167,join(X_168,X_19)))) = join(X_19,join(meet(join(X_168,X_19),X_167),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(X_19,meet(join(X_19,X_167),X_168))),join(X_19,join(meet(join(X_168,X_19),X_167),X))) ),[0],$fot(join(X,join(X_19,meet(X_167,join(X_168,X_19)))))]]) ).

cnf(refute_0_1623,plain,
    ( join(X,join(X_19,meet(join(X_19,X_167),X_168))) != join(X_19,join(meet(join(X_168,X_19),X_167),X))
    | join(X,join(X_19,meet(X_167,join(X_168,X_19)))) = join(X_19,join(meet(join(X_168,X_19),X_167),X)) ),
    inference(resolve,[$cnf( $equal(join(X,join(X_19,meet(join(X_19,X_167),X_168))),join(X,join(X_19,meet(X_167,join(X_168,X_19))))) )],[refute_0_1621,refute_0_1622]) ).

cnf(refute_0_1624,plain,
    join(X,join(X_19,meet(X_167,join(X_168,X_19)))) = join(X_19,join(meet(join(X_168,X_19),X_167),X)),
    inference(resolve,[$cnf( $equal(join(X,join(X_19,meet(join(X_19,X_167),X_168))),join(X_19,join(meet(join(X_168,X_19),X_167),X))) )],[refute_0_1600,refute_0_1623]) ).

cnf(refute_0_1625,plain,
    join(X_19,meet(X_167,join(X_168,X_19))) = join(X_19,meet(X_167,X_168)),
    inference(subst,[],[refute_0_1564:[bind(X_16,$fot(X_167)),bind(X_180,$fot(X_168)),bind(X_181,$fot(X_19))]]) ).

cnf(refute_0_1626,plain,
    join(X,join(X_19,meet(X_167,join(X_168,X_19)))) = join(X,join(X_19,meet(X_167,join(X_168,X_19)))),
    introduced(tautology,[refl,[$fot(join(X,join(X_19,meet(X_167,join(X_168,X_19)))))]]) ).

cnf(refute_0_1627,plain,
    ( join(X,join(X_19,meet(X_167,join(X_168,X_19)))) != join(X,join(X_19,meet(X_167,join(X_168,X_19))))
    | join(X_19,meet(X_167,join(X_168,X_19))) != join(X_19,meet(X_167,X_168))
    | join(X,join(X_19,meet(X_167,join(X_168,X_19)))) = join(X,join(X_19,meet(X_167,X_168))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(X_19,meet(X_167,join(X_168,X_19)))),join(X,join(X_19,meet(X_167,join(X_168,X_19))))) ),[1,1],$fot(join(X_19,meet(X_167,X_168)))]]) ).

cnf(refute_0_1628,plain,
    ( join(X_19,meet(X_167,join(X_168,X_19))) != join(X_19,meet(X_167,X_168))
    | join(X,join(X_19,meet(X_167,join(X_168,X_19)))) = join(X,join(X_19,meet(X_167,X_168))) ),
    inference(resolve,[$cnf( $equal(join(X,join(X_19,meet(X_167,join(X_168,X_19)))),join(X,join(X_19,meet(X_167,join(X_168,X_19))))) )],[refute_0_1626,refute_0_1627]) ).

cnf(refute_0_1629,plain,
    join(X,join(X_19,meet(X_167,join(X_168,X_19)))) = join(X,join(X_19,meet(X_167,X_168))),
    inference(resolve,[$cnf( $equal(join(X_19,meet(X_167,join(X_168,X_19))),join(X_19,meet(X_167,X_168))) )],[refute_0_1625,refute_0_1628]) ).

cnf(refute_0_1630,plain,
    ( join(X,join(X_19,meet(X_167,join(X_168,X_19)))) != join(X,join(X_19,meet(X_167,X_168)))
    | join(X,join(X_19,meet(X_167,join(X_168,X_19)))) != join(X_19,join(meet(join(X_168,X_19),X_167),X))
    | join(X,join(X_19,meet(X_167,X_168))) = join(X_19,join(meet(join(X_168,X_19),X_167),X)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X,join(X_19,meet(X_167,join(X_168,X_19)))),join(X_19,join(meet(join(X_168,X_19),X_167),X))) ),[0],$fot(join(X,join(X_19,meet(X_167,X_168))))]]) ).

cnf(refute_0_1631,plain,
    ( join(X,join(X_19,meet(X_167,join(X_168,X_19)))) != join(X_19,join(meet(join(X_168,X_19),X_167),X))
    | join(X,join(X_19,meet(X_167,X_168))) = join(X_19,join(meet(join(X_168,X_19),X_167),X)) ),
    inference(resolve,[$cnf( $equal(join(X,join(X_19,meet(X_167,join(X_168,X_19)))),join(X,join(X_19,meet(X_167,X_168)))) )],[refute_0_1629,refute_0_1630]) ).

cnf(refute_0_1632,plain,
    join(X,join(X_19,meet(X_167,X_168))) = join(X_19,join(meet(join(X_168,X_19),X_167),X)),
    inference(resolve,[$cnf( $equal(join(X,join(X_19,meet(X_167,join(X_168,X_19)))),join(X_19,join(meet(join(X_168,X_19),X_167),X))) )],[refute_0_1624,refute_0_1631]) ).

cnf(refute_0_1633,plain,
    ( join(X,join(X_19,meet(X_167,X_168))) != join(X_19,join(meet(join(X_168,X_19),X_167),X))
    | join(X_19,join(meet(join(X_168,X_19),X_167),X)) = join(X,join(X_19,meet(X_167,X_168))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X,join(X_19,meet(X_167,X_168))))),bind(Y0,$fot(join(X_19,join(meet(join(X_168,X_19),X_167),X))))]]) ).

cnf(refute_0_1634,plain,
    join(X_19,join(meet(join(X_168,X_19),X_167),X)) = join(X,join(X_19,meet(X_167,X_168))),
    inference(resolve,[$cnf( $equal(join(X,join(X_19,meet(X_167,X_168))),join(X_19,join(meet(join(X_168,X_19),X_167),X))) )],[refute_0_1632,refute_0_1633]) ).

cnf(refute_0_1635,plain,
    join(X,join(meet(join(X_168,X),X_167),Z)) = join(Z,join(X,meet(X_167,X_168))),
    inference(subst,[],[refute_0_1634:[bind(X,$fot(Z)),bind(X_19,$fot(X))]]) ).

cnf(refute_0_1636,plain,
    ( join(X,join(meet(join(X,X_167),X_168),Z)) != join(X,join(meet(join(X_168,X),X_167),Z))
    | join(X,join(meet(join(X_168,X),X_167),Z)) != join(Z,join(X,meet(X_167,X_168)))
    | join(X,join(meet(join(X,X_167),X_168),Z)) = join(Z,join(X,meet(X_167,X_168))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X,join(meet(join(X,X_167),X_168),Z)),join(Z,join(X,meet(X_167,X_168)))) ),[0],$fot(join(X,join(meet(join(X_168,X),X_167),Z)))]]) ).

cnf(refute_0_1637,plain,
    ( join(X,join(meet(join(X,X_167),X_168),Z)) != join(X,join(meet(join(X_168,X),X_167),Z))
    | join(X,join(meet(join(X,X_167),X_168),Z)) = join(Z,join(X,meet(X_167,X_168))) ),
    inference(resolve,[$cnf( $equal(join(X,join(meet(join(X_168,X),X_167),Z)),join(Z,join(X,meet(X_167,X_168)))) )],[refute_0_1635,refute_0_1636]) ).

cnf(refute_0_1638,plain,
    join(X,join(meet(join(X,X_167),X_168),Z)) = join(Z,join(X,meet(X_167,X_168))),
    inference(resolve,[$cnf( $equal(join(X,join(meet(join(X,X_167),X_168),Z)),join(X,join(meet(join(X_168,X),X_167),Z))) )],[refute_0_1595,refute_0_1637]) ).

cnf(refute_0_1639,plain,
    join(X_21,join(meet(join(X_21,X_167),X_168),X_20)) = join(X_20,join(X_21,meet(X_167,X_168))),
    inference(subst,[],[refute_0_1638:[bind(X,$fot(X_21)),bind(Z,$fot(X_20))]]) ).

cnf(refute_0_1640,plain,
    meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),
    introduced(tautology,[refl,[$fot(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))))]]) ).

cnf(refute_0_1641,plain,
    ( join(X_21,join(meet(join(X_21,X_167),X_168),X_20)) != join(X_20,join(X_21,meet(X_167,X_168)))
    | meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))
    | meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_20,join(X_21,meet(X_167,X_168)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))) ),[1,1],$fot(join(X_20,join(X_21,meet(X_167,X_168))))]]) ).

cnf(refute_0_1642,plain,
    ( join(X_21,join(meet(join(X_21,X_167),X_168),X_20)) != join(X_20,join(X_21,meet(X_167,X_168)))
    | meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_20,join(X_21,meet(X_167,X_168)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20)))) )],[refute_0_1640,refute_0_1641]) ).

cnf(refute_0_1643,plain,
    meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_20,join(X_21,meet(X_167,X_168)))),
    inference(resolve,[$cnf( $equal(join(X_21,join(meet(join(X_21,X_167),X_168),X_20)),join(X_20,join(X_21,meet(X_167,X_168)))) )],[refute_0_1639,refute_0_1642]) ).

cnf(refute_0_1644,plain,
    ( meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_20,join(X_21,meet(X_167,X_168)))) != join(X_20,join(X_21,meet(X_168,X_167)))
    | meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_20,join(X_21,meet(X_167,X_168))))
    | meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_20,join(X_21,meet(X_168,X_167))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))))),bind(Y0,$fot(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_20,join(X_21,meet(X_167,X_168)))))),bind(Z0,$fot(join(X_20,join(X_21,meet(X_168,X_167)))))]]) ).

cnf(refute_0_1645,plain,
    ( meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_20,join(X_21,meet(X_167,X_168)))) != join(X_20,join(X_21,meet(X_168,X_167)))
    | meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_20,join(X_21,meet(X_168,X_167))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_20,join(X_21,meet(X_167,X_168))))) )],[refute_0_1643,refute_0_1644]) ).

cnf(refute_0_1646,plain,
    meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) = join(X_20,join(X_21,meet(X_168,X_167))),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_20,join(X_21,meet(X_167,X_168)))),join(X_20,join(X_21,meet(X_168,X_167)))) )],[refute_0_1586,refute_0_1645]) ).

cnf(refute_0_1647,plain,
    ( meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != join(X_20,join(X_21,meet(X_168,X_167)))
    | meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))
    | join(X_20,join(X_21,meet(X_168,X_167))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))) ),[0],$fot(join(X_20,join(X_21,meet(X_168,X_167))))]]) ).

cnf(refute_0_1648,plain,
    ( meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))) != join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))
    | join(X_20,join(X_21,meet(X_168,X_167))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),join(X_20,join(X_21,meet(X_168,X_167)))) )],[refute_0_1646,refute_0_1647]) ).

cnf(refute_0_1649,plain,
    join(X_20,join(X_21,meet(X_168,X_167))) = join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)),
    inference(resolve,[$cnf( $equal(meet(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(join(X_21,X_167),X_168),X_20))),join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))) )],[refute_0_1581,refute_0_1648]) ).

cnf(refute_0_1650,plain,
    ( join(X_20,join(X_21,meet(X_168,X_167))) != join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))
    | join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) = join(X_20,join(X_21,meet(X_168,X_167))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_20,join(X_21,meet(X_168,X_167))))),bind(Y0,$fot(join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))))]]) ).

cnf(refute_0_1651,plain,
    join(X_21,join(meet(X_168,join(X_21,X_167)),X_20)) = join(X_20,join(X_21,meet(X_168,X_167))),
    inference(resolve,[$cnf( $equal(join(X_20,join(X_21,meet(X_168,X_167))),join(X_21,join(meet(X_168,join(X_21,X_167)),X_20))) )],[refute_0_1649,refute_0_1650]) ).

cnf(refute_0_1652,plain,
    join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)) = join(X_156,join(meet(X_11,X_154),meet(X_11,X_68))),
    inference(subst,[],[refute_0_1651:[bind(X_167,$fot(X_68)),bind(X_168,$fot(X_11)),bind(X_20,$fot(X_156)),bind(X_21,$fot(meet(X_11,X_154)))]]) ).

cnf(refute_0_1653,plain,
    ( join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) != join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156))
    | join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)) != join(X_156,join(meet(X_11,X_154),meet(X_11,X_68)))
    | join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) = join(X_156,join(meet(X_11,X_154),meet(X_11,X_68))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))),join(X_156,join(meet(X_11,X_154),meet(X_11,X_68)))) ),[0],$fot(join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)))]]) ).

cnf(refute_0_1654,plain,
    ( join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) != join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156))
    | join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) = join(X_156,join(meet(X_11,X_154),meet(X_11,X_68))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156)),join(X_156,join(meet(X_11,X_154),meet(X_11,X_68)))) )],[refute_0_1652,refute_0_1653]) ).

cnf(refute_0_1655,plain,
    join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))) = join(X_156,join(meet(X_11,X_154),meet(X_11,X_68))),
    inference(resolve,[$cnf( $equal(join(X_156,meet(X_11,join(meet(X_11,X_154),X_68))),join(meet(X_11,X_154),join(meet(X_11,join(meet(X_11,X_154),X_68)),X_156))) )],[refute_0_1000,refute_0_1654]) ).

cnf(refute_0_1656,plain,
    join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) = join(meet(X_11,X_109),join(meet(X_109,X_11),meet(X_109,X_110))),
    inference(subst,[],[refute_0_1655:[bind(X_11,$fot(X_109)),bind(X_154,$fot(X_11)),bind(X_156,$fot(meet(X_11,X_109))),bind(X_68,$fot(X_110))]]) ).

cnf(refute_0_1657,plain,
    ( join(meet(X_11,X_109),join(meet(X_109,X_11),meet(X_109,X_110))) != join(meet(X_11,X_109),meet(X_109,X_110))
    | join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) != join(meet(X_11,X_109),join(meet(X_109,X_11),meet(X_109,X_110)))
    | join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) = join(meet(X_11,X_109),meet(X_109,X_110)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))))),bind(Y0,$fot(join(meet(X_11,X_109),join(meet(X_109,X_11),meet(X_109,X_110))))),bind(Z0,$fot(join(meet(X_11,X_109),meet(X_109,X_110))))]]) ).

cnf(refute_0_1658,plain,
    ( join(meet(X_11,X_109),join(meet(X_109,X_11),meet(X_109,X_110))) != join(meet(X_11,X_109),meet(X_109,X_110))
    | join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) = join(meet(X_11,X_109),meet(X_109,X_110)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))),join(meet(X_11,X_109),join(meet(X_109,X_11),meet(X_109,X_110)))) )],[refute_0_1656,refute_0_1657]) ).

cnf(refute_0_1659,plain,
    join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) = join(meet(X_11,X_109),meet(X_109,X_110)),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_109),join(meet(X_109,X_11),meet(X_109,X_110))),join(meet(X_11,X_109),meet(X_109,X_110))) )],[refute_0_969,refute_0_1658]) ).

cnf(refute_0_1660,plain,
    ( join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) != join(meet(X_11,X_109),meet(X_109,X_110))
    | join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) != meet(X_109,join(meet(X_109,X_11),X_110))
    | join(meet(X_11,X_109),meet(X_109,X_110)) = meet(X_109,join(meet(X_109,X_11),X_110)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))),meet(X_109,join(meet(X_109,X_11),X_110))) ),[0],$fot(join(meet(X_11,X_109),meet(X_109,X_110)))]]) ).

cnf(refute_0_1661,plain,
    ( join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))) != meet(X_109,join(meet(X_109,X_11),X_110))
    | join(meet(X_11,X_109),meet(X_109,X_110)) = meet(X_109,join(meet(X_109,X_11),X_110)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))),join(meet(X_11,X_109),meet(X_109,X_110))) )],[refute_0_1659,refute_0_1660]) ).

cnf(refute_0_1662,plain,
    join(meet(X_11,X_109),meet(X_109,X_110)) = meet(X_109,join(meet(X_109,X_11),X_110)),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_109),meet(X_109,join(meet(X_109,X_11),X_110))),meet(X_109,join(meet(X_109,X_11),X_110))) )],[refute_0_968,refute_0_1661]) ).

cnf(refute_0_1663,plain,
    ( join(meet(X_11,X_109),meet(X_109,X_110)) != meet(X_109,join(meet(X_109,X_11),X_110))
    | meet(X_109,join(meet(X_109,X_11),X_110)) = join(meet(X_11,X_109),meet(X_109,X_110)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(meet(X_11,X_109),meet(X_109,X_110)))),bind(Y0,$fot(meet(X_109,join(meet(X_109,X_11),X_110))))]]) ).

cnf(refute_0_1664,plain,
    meet(X_109,join(meet(X_109,X_11),X_110)) = join(meet(X_11,X_109),meet(X_109,X_110)),
    inference(resolve,[$cnf( $equal(join(meet(X_11,X_109),meet(X_109,X_110)),meet(X_109,join(meet(X_109,X_11),X_110))) )],[refute_0_1662,refute_0_1663]) ).

cnf(refute_0_1665,plain,
    meet(Z,join(meet(Z,X_85),X)) = join(meet(X_85,Z),meet(Z,X)),
    inference(subst,[],[refute_0_1664:[bind(X_109,$fot(Z)),bind(X_11,$fot(X_85)),bind(X_110,$fot(X))]]) ).

cnf(refute_0_1666,plain,
    ( meet(Z,join(X_85,X)) != meet(Z,join(meet(Z,X_85),X))
    | meet(Z,join(meet(Z,X_85),X)) != join(meet(X_85,Z),meet(Z,X))
    | meet(Z,join(X_85,X)) = join(meet(X_85,Z),meet(Z,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(Z,join(X_85,X)),join(meet(X_85,Z),meet(Z,X))) ),[0],$fot(meet(Z,join(meet(Z,X_85),X)))]]) ).

cnf(refute_0_1667,plain,
    ( meet(Z,join(X_85,X)) != meet(Z,join(meet(Z,X_85),X))
    | meet(Z,join(X_85,X)) = join(meet(X_85,Z),meet(Z,X)) ),
    inference(resolve,[$cnf( $equal(meet(Z,join(meet(Z,X_85),X)),join(meet(X_85,Z),meet(Z,X))) )],[refute_0_1665,refute_0_1666]) ).

cnf(refute_0_1668,plain,
    ( meet(Z,join(meet(X_85,Z),X)) != meet(Z,join(meet(Z,X_85),X))
    | meet(Z,join(X_85,X)) = join(meet(X_85,Z),meet(Z,X)) ),
    inference(resolve,[$cnf( $equal(meet(Z,join(X_85,X)),meet(Z,join(meet(Z,X_85),X))) )],[refute_0_864,refute_0_1667]) ).

cnf(refute_0_1669,plain,
    meet(Z,join(X_85,X)) = join(meet(X_85,Z),meet(Z,X)),
    inference(resolve,[$cnf( $equal(meet(Z,join(meet(X_85,Z),X)),meet(Z,join(meet(Z,X_85),X))) )],[refute_0_861,refute_0_1668]) ).

cnf(refute_0_1670,plain,
    ( meet(Z,join(X_85,X)) != join(meet(X_85,Z),meet(Z,X))
    | join(meet(X_85,Z),meet(Z,X)) = meet(Z,join(X_85,X)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(Z,join(X_85,X)))),bind(Y0,$fot(join(meet(X_85,Z),meet(Z,X))))]]) ).

cnf(refute_0_1671,plain,
    join(meet(X_85,Z),meet(Z,X)) = meet(Z,join(X_85,X)),
    inference(resolve,[$cnf( $equal(meet(Z,join(X_85,X)),join(meet(X_85,Z),meet(Z,X))) )],[refute_0_1669,refute_0_1670]) ).

cnf(refute_0_1672,plain,
    join(meet(X_170,X_172),meet(X_172,X_171)) = meet(X_172,join(X_170,X_171)),
    inference(subst,[],[refute_0_1671:[bind(X,$fot(X_171)),bind(Z,$fot(X_172)),bind(X_85,$fot(X_170))]]) ).

cnf(refute_0_1673,plain,
    meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) = meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))),
    introduced(tautology,[refl,[$fot(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))))]]) ).

cnf(refute_0_1674,plain,
    ( join(meet(X_170,X_172),meet(X_172,X_171)) != meet(X_172,join(X_170,X_171))
    | meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) != meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171)))
    | meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) = meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))),meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171)))) ),[1,1],$fot(meet(X_172,join(X_170,X_171)))]]) ).

cnf(refute_0_1675,plain,
    ( join(meet(X_170,X_172),meet(X_172,X_171)) != meet(X_172,join(X_170,X_171))
    | meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) = meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))),meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171)))) )],[refute_0_1673,refute_0_1674]) ).

cnf(refute_0_1676,plain,
    meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) = meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))),
    inference(resolve,[$cnf( $equal(join(meet(X_170,X_172),meet(X_172,X_171)),meet(X_172,join(X_170,X_171))) )],[refute_0_1672,refute_0_1675]) ).

cnf(refute_0_1677,plain,
    ( meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) != meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171)))
    | meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))) != meet(X_172,join(X_170,X_171))
    | meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) = meet(X_172,join(X_170,X_171)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))))),bind(Y0,$fot(meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))))),bind(Z0,$fot(meet(X_172,join(X_170,X_171))))]]) ).

cnf(refute_0_1678,plain,
    ( meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))) != meet(X_172,join(X_170,X_171))
    | meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) = meet(X_172,join(X_170,X_171)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))),meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171)))) )],[refute_0_1676,refute_0_1677]) ).

cnf(refute_0_1679,plain,
    meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) = meet(X_172,join(X_170,X_171)),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),meet(X_172,join(X_170,X_171))),meet(X_172,join(X_170,X_171))) )],[refute_0_788,refute_0_1678]) ).

cnf(refute_0_1680,plain,
    ( meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) != join(meet(X_171,X_172),meet(X_170,X_172))
    | meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) != meet(X_172,join(X_170,X_171))
    | meet(X_172,join(X_170,X_171)) = join(meet(X_171,X_172),meet(X_170,X_172)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))),join(meet(X_171,X_172),meet(X_170,X_172))) ),[0],$fot(meet(X_172,join(X_170,X_171)))]]) ).

cnf(refute_0_1681,plain,
    ( meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))) != join(meet(X_171,X_172),meet(X_170,X_172))
    | meet(X_172,join(X_170,X_171)) = join(meet(X_171,X_172),meet(X_170,X_172)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))),meet(X_172,join(X_170,X_171))) )],[refute_0_1679,refute_0_1680]) ).

cnf(refute_0_1682,plain,
    meet(X_172,join(X_170,X_171)) = join(meet(X_171,X_172),meet(X_170,X_172)),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(X_172,X_170)),join(meet(X_170,X_172),meet(X_172,X_171))),join(meet(X_171,X_172),meet(X_170,X_172))) )],[refute_0_223,refute_0_1681]) ).

cnf(refute_0_1683,plain,
    ( meet(X_172,join(X_170,X_171)) != join(meet(X_171,X_172),meet(X_170,X_172))
    | join(meet(X_171,X_172),meet(X_170,X_172)) = meet(X_172,join(X_170,X_171)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_172,join(X_170,X_171)))),bind(Y0,$fot(join(meet(X_171,X_172),meet(X_170,X_172))))]]) ).

cnf(refute_0_1684,plain,
    join(meet(X_171,X_172),meet(X_170,X_172)) = meet(X_172,join(X_170,X_171)),
    inference(resolve,[$cnf( $equal(meet(X_172,join(X_170,X_171)),join(meet(X_171,X_172),meet(X_170,X_172))) )],[refute_0_1682,refute_0_1683]) ).

cnf(refute_0_1685,plain,
    join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) = meet(meet(X_85,Y),join(X_170,X_171)),
    inference(subst,[],[refute_0_1684:[bind(X_172,$fot(meet(X_85,Y)))]]) ).

cnf(refute_0_1686,plain,
    ( join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) != meet(meet(X_85,Y),join(X_170,X_171))
    | meet(meet(X_85,Y),join(X_170,X_171)) != meet(X_85,meet(Y,join(X_170,X_171)))
    | join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) = meet(X_85,meet(Y,join(X_170,X_171))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))))),bind(Y0,$fot(meet(meet(X_85,Y),join(X_170,X_171)))),bind(Z0,$fot(meet(X_85,meet(Y,join(X_170,X_171)))))]]) ).

cnf(refute_0_1687,plain,
    ( meet(meet(X_85,Y),join(X_170,X_171)) != meet(X_85,meet(Y,join(X_170,X_171)))
    | join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) = meet(X_85,meet(Y,join(X_170,X_171))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))),meet(meet(X_85,Y),join(X_170,X_171))) )],[refute_0_1685,refute_0_1686]) ).

cnf(refute_0_1688,plain,
    join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) = meet(X_85,meet(Y,join(X_170,X_171))),
    inference(resolve,[$cnf( $equal(meet(meet(X_85,Y),join(X_170,X_171)),meet(X_85,meet(Y,join(X_170,X_171)))) )],[refute_0_216,refute_0_1687]) ).

cnf(refute_0_1689,plain,
    ( join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) != join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))
    | join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) != meet(X_85,meet(Y,join(X_170,X_171)))
    | meet(X_85,meet(Y,join(X_170,X_171))) = join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))),join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))) ),[0],$fot(meet(X_85,meet(Y,join(X_170,X_171))))]]) ).

cnf(refute_0_1690,plain,
    ( join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) != join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))
    | meet(X_85,meet(Y,join(X_170,X_171))) = join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))),meet(X_85,meet(Y,join(X_170,X_171)))) )],[refute_0_1688,refute_0_1689]) ).

cnf(refute_0_1691,plain,
    meet(X_170,meet(Y,X_85)) = meet(X_170,meet(X_85,Y)),
    inference(subst,[],[refute_0_206:[bind(X_84,$fot(X_170))]]) ).

cnf(refute_0_1692,plain,
    ( meet(X_170,meet(Y,X_85)) != meet(X_170,meet(X_85,Y))
    | meet(X_170,meet(X_85,Y)) = meet(X_170,meet(Y,X_85)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_170,meet(Y,X_85)))),bind(Y0,$fot(meet(X_170,meet(X_85,Y))))]]) ).

cnf(refute_0_1693,plain,
    meet(X_170,meet(X_85,Y)) = meet(X_170,meet(Y,X_85)),
    inference(resolve,[$cnf( $equal(meet(X_170,meet(Y,X_85)),meet(X_170,meet(X_85,Y))) )],[refute_0_1691,refute_0_1692]) ).

cnf(refute_0_1694,plain,
    ( meet(X_170,meet(X_85,Y)) != meet(X_170,meet(Y,X_85))
    | meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))
    | meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) = join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))) ),[1,1],$fot(meet(X_170,meet(Y,X_85)))]]) ).

cnf(refute_0_1695,plain,
    ( meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))
    | meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) = join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))) ),
    inference(resolve,[$cnf( $equal(meet(X_170,meet(X_85,Y)),meet(X_170,meet(Y,X_85))) )],[refute_0_1693,refute_0_1694]) ).

cnf(refute_0_1696,plain,
    meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) = join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))) )],[refute_0_125,refute_0_1695]) ).

cnf(refute_0_1697,plain,
    ( meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))
    | meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))
    | join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) = join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))) ),[0],$fot(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))))]]) ).

cnf(refute_0_1698,plain,
    ( meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))
    | join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) = join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y)))) )],[refute_0_125,refute_0_1697]) ).

cnf(refute_0_1699,plain,
    join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) = join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))),
    inference(resolve,[$cnf( $equal(meet(join(X_171,meet(meet(X_85,Y),X_170)),join(meet(X_170,meet(X_85,Y)),meet(X_171,meet(X_85,Y)))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))) )],[refute_0_1696,refute_0_1698]) ).

cnf(refute_0_1700,plain,
    ( join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))
    | join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) != meet(X_85,meet(Y,join(X_170,X_171)))
    | meet(X_85,meet(Y,join(X_170,X_171))) = join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))) ),[0],$fot(meet(X_85,meet(Y,join(X_170,X_171))))]]) ).

cnf(refute_0_1701,plain,
    ( join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))
    | meet(X_85,meet(Y,join(X_170,X_171))) = join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))),meet(X_85,meet(Y,join(X_170,X_171)))) )],[refute_0_1688,refute_0_1700]) ).

cnf(refute_0_1702,plain,
    meet(X_85,meet(Y,join(X_170,X_171))) = join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))) )],[refute_0_1699,refute_0_1701]) ).

cnf(refute_0_1703,plain,
    ( meet(X_85,meet(Y,join(X_170,X_171))) != join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))
    | join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))) = meet(X_85,meet(Y,join(X_170,X_171))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_85,meet(Y,join(X_170,X_171))))),bind(Y0,$fot(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))))]]) ).

cnf(refute_0_1704,plain,
    join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85))) = meet(X_85,meet(Y,join(X_170,X_171))),
    inference(resolve,[$cnf( $equal(meet(X_85,meet(Y,join(X_170,X_171))),join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(Y,X_85)))) )],[refute_0_1702,refute_0_1703]) ).

cnf(refute_0_1705,plain,
    join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))) = meet(Y,meet(X_85,join(X_170,X_171))),
    inference(subst,[],[refute_0_1704:[bind(Y,$fot(X_85)),bind(X_85,$fot(Y))]]) ).

cnf(refute_0_1706,plain,
    ( join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))) != meet(Y,meet(X_85,join(X_170,X_171)))
    | meet(X_85,meet(Y,join(X_170,X_171))) != join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))
    | meet(X_85,meet(Y,join(X_170,X_171))) = meet(Y,meet(X_85,join(X_170,X_171))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_85,meet(Y,join(X_170,X_171))),join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))) ),[1],$fot(meet(Y,meet(X_85,join(X_170,X_171))))]]) ).

cnf(refute_0_1707,plain,
    ( meet(X_85,meet(Y,join(X_170,X_171))) != join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))
    | meet(X_85,meet(Y,join(X_170,X_171))) = meet(Y,meet(X_85,join(X_170,X_171))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y))),meet(Y,meet(X_85,join(X_170,X_171)))) )],[refute_0_1705,refute_0_1706]) ).

cnf(refute_0_1708,plain,
    ( join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))) != join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))
    | meet(X_85,meet(Y,join(X_170,X_171))) = meet(Y,meet(X_85,join(X_170,X_171))) ),
    inference(resolve,[$cnf( $equal(meet(X_85,meet(Y,join(X_170,X_171))),join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))) )],[refute_0_1690,refute_0_1707]) ).

cnf(refute_0_1709,plain,
    meet(X_85,meet(Y,join(X_170,X_171))) = meet(Y,meet(X_85,join(X_170,X_171))),
    inference(resolve,[$cnf( $equal(join(meet(X_171,meet(X_85,Y)),meet(X_170,meet(X_85,Y))),join(meet(X_171,meet(Y,X_85)),meet(X_170,meet(X_85,Y)))) )],[refute_0_215,refute_0_1708]) ).

cnf(refute_0_1710,plain,
    ( meet(X_85,meet(Y,join(X_170,X_171))) != meet(Y,meet(X_85,join(X_170,X_171)))
    | meet(Y,meet(X_85,join(X_170,X_171))) = meet(X_85,meet(Y,join(X_170,X_171))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_85,meet(Y,join(X_170,X_171))))),bind(Y0,$fot(meet(Y,meet(X_85,join(X_170,X_171)))))]]) ).

cnf(refute_0_1711,plain,
    meet(Y,meet(X_85,join(X_170,X_171))) = meet(X_85,meet(Y,join(X_170,X_171))),
    inference(resolve,[$cnf( $equal(meet(X_85,meet(Y,join(X_170,X_171))),meet(Y,meet(X_85,join(X_170,X_171)))) )],[refute_0_1709,refute_0_1710]) ).

cnf(refute_0_1712,plain,
    meet(join(b,c),meet(a,join(b,d))) = meet(a,meet(join(b,c),join(b,d))),
    inference(subst,[],[refute_0_1711:[bind(Y,$fot(join(b,c))),bind(X_170,$fot(b)),bind(X_171,$fot(d)),bind(X_85,$fot(a))]]) ).

cnf(refute_0_1713,plain,
    meet(join(b,d),join(b,join(c,d))) = join(b,d),
    inference(subst,[],[refute_0_1223:[bind(Y,$fot(c)),bind(X_31,$fot(b)),bind(X_33,$fot(d))]]) ).

cnf(refute_0_1714,plain,
    meet(a,meet(join(b,d),join(b,join(c,d)))) = meet(a,meet(join(b,d),join(b,join(c,d)))),
    introduced(tautology,[refl,[$fot(meet(a,meet(join(b,d),join(b,join(c,d)))))]]) ).

cnf(refute_0_1715,plain,
    ( meet(a,meet(join(b,d),join(b,join(c,d)))) != meet(a,meet(join(b,d),join(b,join(c,d))))
    | meet(join(b,d),join(b,join(c,d))) != join(b,d)
    | meet(a,meet(join(b,d),join(b,join(c,d)))) = meet(a,join(b,d)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(join(b,d),join(b,join(c,d)))),meet(a,meet(join(b,d),join(b,join(c,d))))) ),[1,1],$fot(join(b,d))]]) ).

cnf(refute_0_1716,plain,
    ( meet(join(b,d),join(b,join(c,d))) != join(b,d)
    | meet(a,meet(join(b,d),join(b,join(c,d)))) = meet(a,join(b,d)) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(join(b,d),join(b,join(c,d)))),meet(a,meet(join(b,d),join(b,join(c,d))))) )],[refute_0_1714,refute_0_1715]) ).

cnf(refute_0_1717,plain,
    meet(a,meet(join(b,d),join(b,join(c,d)))) = meet(a,join(b,d)),
    inference(resolve,[$cnf( $equal(meet(join(b,d),join(b,join(c,d))),join(b,d)) )],[refute_0_1713,refute_0_1716]) ).

cnf(refute_0_1718,plain,
    meet(join(b,d),meet(a,join(b,join(c,d)))) = meet(a,meet(join(b,d),join(b,join(c,d)))),
    inference(subst,[],[refute_0_1711:[bind(Y,$fot(join(b,d))),bind(X_170,$fot(b)),bind(X_171,$fot(join(c,d))),bind(X_85,$fot(a))]]) ).

cnf(refute_0_1719,plain,
    ( meet(a,meet(join(b,d),join(b,join(c,d)))) != meet(a,join(b,d))
    | meet(join(b,d),meet(a,join(b,join(c,d)))) != meet(a,meet(join(b,d),join(b,join(c,d))))
    | meet(join(b,d),meet(a,join(b,join(c,d)))) = meet(a,join(b,d)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(b,d),meet(a,join(b,join(c,d)))))),bind(Y0,$fot(meet(a,meet(join(b,d),join(b,join(c,d)))))),bind(Z0,$fot(meet(a,join(b,d))))]]) ).

cnf(refute_0_1720,plain,
    ( meet(a,meet(join(b,d),join(b,join(c,d)))) != meet(a,join(b,d))
    | meet(join(b,d),meet(a,join(b,join(c,d)))) = meet(a,join(b,d)) ),
    inference(resolve,[$cnf( $equal(meet(join(b,d),meet(a,join(b,join(c,d)))),meet(a,meet(join(b,d),join(b,join(c,d))))) )],[refute_0_1718,refute_0_1719]) ).

cnf(refute_0_1721,plain,
    meet(join(b,d),meet(a,join(b,join(c,d)))) = meet(a,join(b,d)),
    inference(resolve,[$cnf( $equal(meet(a,meet(join(b,d),join(b,join(c,d)))),meet(a,join(b,d))) )],[refute_0_1717,refute_0_1720]) ).

cnf(refute_0_1722,plain,
    meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))) = meet(X_179,join(X_180,join(X_20,X_21))),
    inference(subst,[],[refute_0_308:[bind(X_39,$fot(X_179)),bind(X_40,$fot(X_180)),bind(X_41,$fot(join(X_20,X_21)))]]) ).

cnf(refute_0_1723,plain,
    join(X_20,join(X_180,X_21)) = join(X_180,join(X_20,X_21)),
    inference(subst,[],[refute_0_369:[bind(X_19,$fot(X_180))]]) ).

cnf(refute_0_1724,plain,
    ( join(X_20,join(X_180,X_21)) != join(X_180,join(X_20,X_21))
    | join(X_180,join(X_20,X_21)) = join(X_20,join(X_180,X_21)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_20,join(X_180,X_21)))),bind(Y0,$fot(join(X_180,join(X_20,X_21))))]]) ).

cnf(refute_0_1725,plain,
    join(X_180,join(X_20,X_21)) = join(X_20,join(X_180,X_21)),
    inference(resolve,[$cnf( $equal(join(X_20,join(X_180,X_21)),join(X_180,join(X_20,X_21))) )],[refute_0_1723,refute_0_1724]) ).

cnf(refute_0_1726,plain,
    ( join(X_180,join(X_20,X_21)) != join(X_20,join(X_180,X_21))
    | meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))) != meet(X_179,join(X_180,join(X_20,X_21)))
    | meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))) = meet(X_179,join(X_20,join(X_180,X_21))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))),meet(X_179,join(X_180,join(X_20,X_21)))) ),[1,1],$fot(join(X_20,join(X_180,X_21)))]]) ).

cnf(refute_0_1727,plain,
    ( meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))) != meet(X_179,join(X_180,join(X_20,X_21)))
    | meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))) = meet(X_179,join(X_20,join(X_180,X_21))) ),
    inference(resolve,[$cnf( $equal(join(X_180,join(X_20,X_21)),join(X_20,join(X_180,X_21))) )],[refute_0_1725,refute_0_1726]) ).

cnf(refute_0_1728,plain,
    meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))) = meet(X_179,join(X_20,join(X_180,X_21))),
    inference(resolve,[$cnf( $equal(meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))),meet(X_179,join(X_180,join(X_20,X_21)))) )],[refute_0_1722,refute_0_1727]) ).

cnf(refute_0_1729,plain,
    ( meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))) != meet(X_179,join(X_180,join(X_20,X_21)))
    | meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))) != meet(X_179,join(X_20,join(X_180,X_21)))
    | meet(X_179,join(X_180,join(X_20,X_21))) = meet(X_179,join(X_20,join(X_180,X_21))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))),meet(X_179,join(X_20,join(X_180,X_21)))) ),[0],$fot(meet(X_179,join(X_180,join(X_20,X_21))))]]) ).

cnf(refute_0_1730,plain,
    ( meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))) != meet(X_179,join(X_20,join(X_180,X_21)))
    | meet(X_179,join(X_180,join(X_20,X_21))) = meet(X_179,join(X_20,join(X_180,X_21))) ),
    inference(resolve,[$cnf( $equal(meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))),meet(X_179,join(X_180,join(X_20,X_21)))) )],[refute_0_1722,refute_0_1729]) ).

cnf(refute_0_1731,plain,
    meet(X_179,join(X_180,join(X_20,X_21))) = meet(X_179,join(X_20,join(X_180,X_21))),
    inference(resolve,[$cnf( $equal(meet(X_179,meet(join(X_180,join(X_20,X_21)),join(join(X_20,X_21),meet(X_179,X_180)))),meet(X_179,join(X_20,join(X_180,X_21)))) )],[refute_0_1728,refute_0_1730]) ).

cnf(refute_0_1732,plain,
    ( meet(X_179,join(X_180,join(X_20,X_21))) != meet(X_179,join(X_20,join(X_180,X_21)))
    | meet(X_179,join(X_20,join(X_180,X_21))) = meet(X_179,join(X_180,join(X_20,X_21))) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_179,join(X_180,join(X_20,X_21))))),bind(Y0,$fot(meet(X_179,join(X_20,join(X_180,X_21)))))]]) ).

cnf(refute_0_1733,plain,
    meet(X_179,join(X_20,join(X_180,X_21))) = meet(X_179,join(X_180,join(X_20,X_21))),
    inference(resolve,[$cnf( $equal(meet(X_179,join(X_180,join(X_20,X_21))),meet(X_179,join(X_20,join(X_180,X_21)))) )],[refute_0_1731,refute_0_1732]) ).

cnf(refute_0_1734,plain,
    meet(a,join(c,join(b,d))) = meet(a,join(b,join(c,d))),
    inference(subst,[],[refute_0_1733:[bind(X_179,$fot(a)),bind(X_180,$fot(b)),bind(X_20,$fot(c)),bind(X_21,$fot(d))]]) ).

cnf(refute_0_1735,plain,
    meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))) = meet(X_179,join(X_180,X_181)),
    inference(subst,[],[refute_0_308:[bind(X_39,$fot(X_179)),bind(X_40,$fot(X_180)),bind(X_41,$fot(X_181))]]) ).

cnf(refute_0_1736,plain,
    join(X_181,X_180) = join(X_180,X_181),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_181)),bind(Y,$fot(X_180))]]) ).

cnf(refute_0_1737,plain,
    ( join(X_181,X_180) != join(X_180,X_181)
    | join(X_180,X_181) = join(X_181,X_180) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_181,X_180))),bind(Y0,$fot(join(X_180,X_181)))]]) ).

cnf(refute_0_1738,plain,
    join(X_180,X_181) = join(X_181,X_180),
    inference(resolve,[$cnf( $equal(join(X_181,X_180),join(X_180,X_181)) )],[refute_0_1736,refute_0_1737]) ).

cnf(refute_0_1739,plain,
    ( join(X_180,X_181) != join(X_181,X_180)
    | meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))) != meet(X_179,join(X_180,X_181))
    | meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))) = meet(X_179,join(X_181,X_180)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))),meet(X_179,join(X_180,X_181))) ),[1,1],$fot(join(X_181,X_180))]]) ).

cnf(refute_0_1740,plain,
    ( meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))) != meet(X_179,join(X_180,X_181))
    | meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))) = meet(X_179,join(X_181,X_180)) ),
    inference(resolve,[$cnf( $equal(join(X_180,X_181),join(X_181,X_180)) )],[refute_0_1738,refute_0_1739]) ).

cnf(refute_0_1741,plain,
    meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))) = meet(X_179,join(X_181,X_180)),
    inference(resolve,[$cnf( $equal(meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))),meet(X_179,join(X_180,X_181))) )],[refute_0_1735,refute_0_1740]) ).

cnf(refute_0_1742,plain,
    ( meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))) != meet(X_179,join(X_180,X_181))
    | meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))) != meet(X_179,join(X_181,X_180))
    | meet(X_179,join(X_180,X_181)) = meet(X_179,join(X_181,X_180)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))),meet(X_179,join(X_181,X_180))) ),[0],$fot(meet(X_179,join(X_180,X_181)))]]) ).

cnf(refute_0_1743,plain,
    ( meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))) != meet(X_179,join(X_181,X_180))
    | meet(X_179,join(X_180,X_181)) = meet(X_179,join(X_181,X_180)) ),
    inference(resolve,[$cnf( $equal(meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))),meet(X_179,join(X_180,X_181))) )],[refute_0_1735,refute_0_1742]) ).

cnf(refute_0_1744,plain,
    meet(X_179,join(X_180,X_181)) = meet(X_179,join(X_181,X_180)),
    inference(resolve,[$cnf( $equal(meet(X_179,meet(join(X_180,X_181),join(X_181,meet(X_179,X_180)))),meet(X_179,join(X_181,X_180))) )],[refute_0_1741,refute_0_1743]) ).

cnf(refute_0_1745,plain,
    ( meet(X_179,join(X_180,X_181)) != meet(X_179,join(X_181,X_180))
    | meet(X_179,join(X_181,X_180)) = meet(X_179,join(X_180,X_181)) ),
    inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_179,join(X_180,X_181)))),bind(Y0,$fot(meet(X_179,join(X_181,X_180))))]]) ).

cnf(refute_0_1746,plain,
    meet(X_179,join(X_181,X_180)) = meet(X_179,join(X_180,X_181)),
    inference(resolve,[$cnf( $equal(meet(X_179,join(X_180,X_181)),meet(X_179,join(X_181,X_180))) )],[refute_0_1744,refute_0_1745]) ).

cnf(refute_0_1747,plain,
    meet(a,join(join(b,d),c)) = meet(a,join(c,join(b,d))),
    inference(subst,[],[refute_0_1746:[bind(X_179,$fot(a)),bind(X_180,$fot(c)),bind(X_181,$fot(join(b,d)))]]) ).

cnf(refute_0_1748,plain,
    ( meet(a,join(c,join(b,d))) != meet(a,join(b,join(c,d)))
    | meet(a,join(join(b,d),c)) != meet(a,join(c,join(b,d)))
    | meet(a,join(join(b,d),c)) = meet(a,join(b,join(c,d))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(a,join(join(b,d),c)))),bind(Y0,$fot(meet(a,join(c,join(b,d))))),bind(Z0,$fot(meet(a,join(b,join(c,d)))))]]) ).

cnf(refute_0_1749,plain,
    ( meet(a,join(c,join(b,d))) != meet(a,join(b,join(c,d)))
    | meet(a,join(join(b,d),c)) = meet(a,join(b,join(c,d))) ),
    inference(resolve,[$cnf( $equal(meet(a,join(join(b,d),c)),meet(a,join(c,join(b,d)))) )],[refute_0_1747,refute_0_1748]) ).

cnf(refute_0_1750,plain,
    meet(a,join(join(b,d),c)) = meet(a,join(b,join(c,d))),
    inference(resolve,[$cnf( $equal(meet(a,join(c,join(b,d))),meet(a,join(b,join(c,d)))) )],[refute_0_1734,refute_0_1749]) ).

cnf(refute_0_1751,plain,
    join(meet(X_168,Y),meet(join(X_168,meet(X_168,Y)),X_167)) = join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)),
    inference(subst,[],[refute_0_1252:[bind(Y,$fot(X_167)),bind(X_39,$fot(X_168)),bind(X_40,$fot(meet(X_168,Y)))]]) ).

cnf(refute_0_1752,plain,
    join(X_168,meet(X_168,Y)) = X_168,
    inference(subst,[],[absorption2:[bind(X,$fot(X_168))]]) ).

cnf(refute_0_1753,plain,
    ( join(X_168,meet(X_168,Y)) != X_168
    | join(meet(X_168,Y),meet(join(X_168,meet(X_168,Y)),X_167)) != join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168))
    | join(meet(X_168,Y),meet(X_168,X_167)) = join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_168,Y),meet(join(X_168,meet(X_168,Y)),X_167)),join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168))) ),[0,1,0],$fot(X_168)]]) ).

cnf(refute_0_1754,plain,
    ( join(meet(X_168,Y),meet(join(X_168,meet(X_168,Y)),X_167)) != join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168))
    | join(meet(X_168,Y),meet(X_168,X_167)) = join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)) ),
    inference(resolve,[$cnf( $equal(join(X_168,meet(X_168,Y)),X_168) )],[refute_0_1752,refute_0_1753]) ).

cnf(refute_0_1755,plain,
    join(meet(X_168,Y),meet(X_168,X_167)) = join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)),
    inference(resolve,[$cnf( $equal(join(meet(X_168,Y),meet(join(X_168,meet(X_168,Y)),X_167)),join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168))) )],[refute_0_1751,refute_0_1754]) ).

cnf(refute_0_1756,plain,
    meet(X_167,join(X_168,meet(X_168,Y))) = meet(X_167,join(X_168,meet(X_168,Y))),
    introduced(tautology,[refl,[$fot(meet(X_167,join(X_168,meet(X_168,Y))))]]) ).

cnf(refute_0_1757,plain,
    ( join(X_168,meet(X_168,Y)) != X_168
    | meet(X_167,join(X_168,meet(X_168,Y))) != meet(X_167,join(X_168,meet(X_168,Y)))
    | meet(X_167,join(X_168,meet(X_168,Y))) = meet(X_167,X_168) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_167,join(X_168,meet(X_168,Y))),meet(X_167,join(X_168,meet(X_168,Y)))) ),[1,1],$fot(X_168)]]) ).

cnf(refute_0_1758,plain,
    ( join(X_168,meet(X_168,Y)) != X_168
    | meet(X_167,join(X_168,meet(X_168,Y))) = meet(X_167,X_168) ),
    inference(resolve,[$cnf( $equal(meet(X_167,join(X_168,meet(X_168,Y))),meet(X_167,join(X_168,meet(X_168,Y)))) )],[refute_0_1756,refute_0_1757]) ).

cnf(refute_0_1759,plain,
    meet(X_167,join(X_168,meet(X_168,Y))) = meet(X_167,X_168),
    inference(resolve,[$cnf( $equal(join(X_168,meet(X_168,Y)),X_168) )],[refute_0_1752,refute_0_1758]) ).

cnf(refute_0_1760,plain,
    join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))) = join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))),
    introduced(tautology,[refl,[$fot(join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))))]]) ).

cnf(refute_0_1761,plain,
    ( join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))) != join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y))))
    | meet(X_167,join(X_168,meet(X_168,Y))) != meet(X_167,X_168)
    | join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))) = join(meet(X_168,Y),meet(X_167,X_168)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))),join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y))))) ),[1,1],$fot(meet(X_167,X_168))]]) ).

cnf(refute_0_1762,plain,
    ( meet(X_167,join(X_168,meet(X_168,Y))) != meet(X_167,X_168)
    | join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))) = join(meet(X_168,Y),meet(X_167,X_168)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))),join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y))))) )],[refute_0_1760,refute_0_1761]) ).

cnf(refute_0_1763,plain,
    join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))) = join(meet(X_168,Y),meet(X_167,X_168)),
    inference(resolve,[$cnf( $equal(meet(X_167,join(X_168,meet(X_168,Y))),meet(X_167,X_168)) )],[refute_0_1759,refute_0_1762]) ).

cnf(refute_0_1764,plain,
    join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)) = join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))),
    inference(subst,[],[refute_0_1616:[bind(X_32,$fot(meet(X_168,Y)))]]) ).

cnf(refute_0_1765,plain,
    ( join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))) != join(meet(X_168,Y),meet(X_167,X_168))
    | join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)) != join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y))))
    | join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)) = join(meet(X_168,Y),meet(X_167,X_168)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)))),bind(Y0,$fot(join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))))),bind(Z0,$fot(join(meet(X_168,Y),meet(X_167,X_168))))]]) ).

cnf(refute_0_1766,plain,
    ( join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))) != join(meet(X_168,Y),meet(X_167,X_168))
    | join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)) = join(meet(X_168,Y),meet(X_167,X_168)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)),join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y))))) )],[refute_0_1764,refute_0_1765]) ).

cnf(refute_0_1767,plain,
    join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)) = join(meet(X_168,Y),meet(X_167,X_168)),
    inference(resolve,[$cnf( $equal(join(meet(X_168,Y),meet(X_167,join(X_168,meet(X_168,Y)))),join(meet(X_168,Y),meet(X_167,X_168))) )],[refute_0_1763,refute_0_1766]) ).

cnf(refute_0_1768,plain,
    ( join(meet(X_168,Y),meet(X_168,X_167)) != join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168))
    | join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)) != join(meet(X_168,Y),meet(X_167,X_168))
    | join(meet(X_168,Y),meet(X_168,X_167)) = join(meet(X_168,Y),meet(X_167,X_168)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_168,Y),meet(X_168,X_167)),join(meet(X_168,Y),meet(X_167,X_168))) ),[0],$fot(join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)))]]) ).

cnf(refute_0_1769,plain,
    ( join(meet(X_168,Y),meet(X_168,X_167)) != join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168))
    | join(meet(X_168,Y),meet(X_168,X_167)) = join(meet(X_168,Y),meet(X_167,X_168)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168)),join(meet(X_168,Y),meet(X_167,X_168))) )],[refute_0_1767,refute_0_1768]) ).

cnf(refute_0_1770,plain,
    join(meet(X_168,Y),meet(X_168,X_167)) = join(meet(X_168,Y),meet(X_167,X_168)),
    inference(resolve,[$cnf( $equal(join(meet(X_168,Y),meet(X_168,X_167)),join(meet(X_168,Y),meet(join(meet(X_168,Y),X_167),X_168))) )],[refute_0_1755,refute_0_1769]) ).

cnf(refute_0_1771,plain,
    meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,meet(X_40,X_15))))),
    inference(subst,[],[refute_0_58:[bind(X,$fot(X_39)),bind(Y,$fot(X_40)),bind(Z,$fot(meet(X_40,X_15)))]]) ).

cnf(refute_0_1772,plain,
    meet(X_40,meet(X_40,X_15)) = meet(X_40,X_15),
    inference(subst,[],[refute_0_53:[bind(X_14,$fot(X_40))]]) ).

cnf(refute_0_1773,plain,
    ( meet(X_40,meet(X_40,X_15)) != meet(X_40,X_15)
    | meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,meet(X_40,X_15)))))
    | meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,meet(X_40,X_15)))))) ),[1,1,1,1],$fot(meet(X_40,X_15))]]) ).

cnf(refute_0_1774,plain,
    ( meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,meet(X_40,X_15)))))
    | meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) ),
    inference(resolve,[$cnf( $equal(meet(X_40,meet(X_40,X_15)),meet(X_40,X_15)) )],[refute_0_1772,refute_0_1773]) ).

cnf(refute_0_1775,plain,
    meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,meet(X_40,X_15)))))) )],[refute_0_1771,refute_0_1774]) ).

cnf(refute_0_1776,plain,
    join(X_39,meet(X_40,meet(X_40,X_15))) = join(X_39,meet(X_40,meet(X_40,X_15))),
    introduced(tautology,[refl,[$fot(join(X_39,meet(X_40,meet(X_40,X_15))))]]) ).

cnf(refute_0_1777,plain,
    ( join(X_39,meet(X_40,meet(X_40,X_15))) != join(X_39,meet(X_40,meet(X_40,X_15)))
    | meet(X_40,meet(X_40,X_15)) != meet(X_40,X_15)
    | join(X_39,meet(X_40,meet(X_40,X_15))) = join(X_39,meet(X_40,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(X_39,meet(X_40,meet(X_40,X_15))),join(X_39,meet(X_40,meet(X_40,X_15)))) ),[1,1],$fot(meet(X_40,X_15))]]) ).

cnf(refute_0_1778,plain,
    ( meet(X_40,meet(X_40,X_15)) != meet(X_40,X_15)
    | join(X_39,meet(X_40,meet(X_40,X_15))) = join(X_39,meet(X_40,X_15)) ),
    inference(resolve,[$cnf( $equal(join(X_39,meet(X_40,meet(X_40,X_15))),join(X_39,meet(X_40,meet(X_40,X_15)))) )],[refute_0_1776,refute_0_1777]) ).

cnf(refute_0_1779,plain,
    join(X_39,meet(X_40,meet(X_40,X_15))) = join(X_39,meet(X_40,X_15)),
    inference(resolve,[$cnf( $equal(meet(X_40,meet(X_40,X_15)),meet(X_40,X_15)) )],[refute_0_1772,refute_0_1778]) ).

cnf(refute_0_1780,plain,
    meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) = meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))),
    introduced(tautology,[refl,[$fot(meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))))]]) ).

cnf(refute_0_1781,plain,
    ( join(X_39,meet(X_40,meet(X_40,X_15))) != join(X_39,meet(X_40,X_15))
    | meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) != meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40)))
    | meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) = meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))),meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40)))) ),[1,0],$fot(join(X_39,meet(X_40,X_15)))]]) ).

cnf(refute_0_1782,plain,
    ( join(X_39,meet(X_40,meet(X_40,X_15))) != join(X_39,meet(X_40,X_15))
    | meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) = meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))),meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40)))) )],[refute_0_1780,refute_0_1781]) ).

cnf(refute_0_1783,plain,
    meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) = meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))),
    inference(resolve,[$cnf( $equal(join(X_39,meet(X_40,meet(X_40,X_15))),join(X_39,meet(X_40,X_15))) )],[refute_0_1779,refute_0_1782]) ).

cnf(refute_0_1784,plain,
    ( meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))
    | meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) != meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40)))
    | meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))) ),[0],$fot(meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))))]]) ).

cnf(refute_0_1785,plain,
    ( meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))
    | meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))),meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40)))) )],[refute_0_1783,refute_0_1784]) ).

cnf(refute_0_1786,plain,
    meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))) = meet(X_40,X_15),
    inference(subst,[],[refute_0_37:[bind(X,$fot(meet(X_40,X_15))),bind(Y,$fot(X_39))]]) ).

cnf(refute_0_1787,plain,
    join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),
    introduced(tautology,[refl,[$fot(join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))))]]) ).

cnf(refute_0_1788,plain,
    ( join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) != join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))
    | meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))) != meet(X_40,X_15)
    | join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,X_40),meet(X_40,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))) ),[1,1],$fot(meet(X_40,X_15))]]) ).

cnf(refute_0_1789,plain,
    ( meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))) != meet(X_40,X_15)
    | join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,X_40),meet(X_40,X_15)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))) )],[refute_0_1787,refute_0_1788]) ).

cnf(refute_0_1790,plain,
    join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,X_40),meet(X_40,X_15)),
    inference(resolve,[$cnf( $equal(meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))),meet(X_40,X_15)) )],[refute_0_1786,refute_0_1789]) ).

cnf(refute_0_1791,plain,
    join(X_40,meet(X_40,X_15)) = X_40,
    inference(subst,[],[absorption2:[bind(X,$fot(X_40)),bind(Y,$fot(X_15))]]) ).

cnf(refute_0_1792,plain,
    meet(X_39,join(X_40,meet(X_40,X_15))) = meet(X_39,join(X_40,meet(X_40,X_15))),
    introduced(tautology,[refl,[$fot(meet(X_39,join(X_40,meet(X_40,X_15))))]]) ).

cnf(refute_0_1793,plain,
    ( join(X_40,meet(X_40,X_15)) != X_40
    | meet(X_39,join(X_40,meet(X_40,X_15))) != meet(X_39,join(X_40,meet(X_40,X_15)))
    | meet(X_39,join(X_40,meet(X_40,X_15))) = meet(X_39,X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(X_40,meet(X_40,X_15))),meet(X_39,join(X_40,meet(X_40,X_15)))) ),[1,1],$fot(X_40)]]) ).

cnf(refute_0_1794,plain,
    ( join(X_40,meet(X_40,X_15)) != X_40
    | meet(X_39,join(X_40,meet(X_40,X_15))) = meet(X_39,X_40) ),
    inference(resolve,[$cnf( $equal(meet(X_39,join(X_40,meet(X_40,X_15))),meet(X_39,join(X_40,meet(X_40,X_15)))) )],[refute_0_1792,refute_0_1793]) ).

cnf(refute_0_1795,plain,
    meet(X_39,join(X_40,meet(X_40,X_15))) = meet(X_39,X_40),
    inference(resolve,[$cnf( $equal(join(X_40,meet(X_40,X_15)),X_40) )],[refute_0_1791,refute_0_1794]) ).

cnf(refute_0_1796,plain,
    join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),
    introduced(tautology,[refl,[$fot(join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))))]]) ).

cnf(refute_0_1797,plain,
    ( join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) != join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))
    | meet(X_39,join(X_40,meet(X_40,X_15))) != meet(X_39,X_40)
    | join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))) ),[1,0],$fot(meet(X_39,X_40))]]) ).

cnf(refute_0_1798,plain,
    ( meet(X_39,join(X_40,meet(X_40,X_15))) != meet(X_39,X_40)
    | join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))) )],[refute_0_1796,refute_0_1797]) ).

cnf(refute_0_1799,plain,
    join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),
    inference(resolve,[$cnf( $equal(meet(X_39,join(X_40,meet(X_40,X_15))),meet(X_39,X_40)) )],[refute_0_1795,refute_0_1798]) ).

cnf(refute_0_1800,plain,
    ( join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) != join(meet(X_39,X_40),meet(X_40,X_15))
    | join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) != join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))
    | join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,X_40),meet(X_40,X_15)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))))),bind(Y0,$fot(join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))))),bind(Z0,$fot(join(meet(X_39,X_40),meet(X_40,X_15))))]]) ).

cnf(refute_0_1801,plain,
    ( join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) != join(meet(X_39,X_40),meet(X_40,X_15))
    | join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,X_40),meet(X_40,X_15)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))) )],[refute_0_1799,refute_0_1800]) ).

cnf(refute_0_1802,plain,
    join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) = join(meet(X_39,X_40),meet(X_40,X_15)),
    inference(resolve,[$cnf( $equal(join(meet(X_39,X_40),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),join(meet(X_39,X_40),meet(X_40,X_15))) )],[refute_0_1790,refute_0_1801]) ).

cnf(refute_0_1803,plain,
    ( join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))) != join(meet(X_39,X_40),meet(X_40,X_15))
    | meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))
    | meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_39,X_40),meet(X_40,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))) ),[1],$fot(join(meet(X_39,X_40),meet(X_40,X_15)))]]) ).

cnf(refute_0_1804,plain,
    ( meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))
    | meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_39,X_40),meet(X_40,X_15)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15)))),join(meet(X_39,X_40),meet(X_40,X_15))) )],[refute_0_1802,refute_0_1803]) ).

cnf(refute_0_1805,plain,
    ( meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))) != join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))
    | meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_39,X_40),meet(X_40,X_15)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))) )],[refute_0_1785,refute_0_1804]) ).

cnf(refute_0_1806,plain,
    meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_39,X_40),meet(X_40,X_15)),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,meet(X_40,X_15))),join(meet(X_40,X_15),meet(X_39,X_40))),join(meet(X_39,join(X_40,meet(X_40,X_15))),meet(meet(X_40,X_15),join(X_39,meet(X_40,X_15))))) )],[refute_0_1775,refute_0_1805]) ).

cnf(refute_0_1807,plain,
    meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) = join(meet(X_40,X_15),meet(X_39,X_40)),
    inference(subst,[],[refute_0_526:[bind(Y,$fot(X_39)),bind(X_106,$fot(X_40)),bind(X_108,$fot(meet(X_40,X_15)))]]) ).

cnf(refute_0_1808,plain,
    ( meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) != join(meet(X_39,X_40),meet(X_40,X_15))
    | meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) != join(meet(X_40,X_15),meet(X_39,X_40))
    | join(meet(X_40,X_15),meet(X_39,X_40)) = join(meet(X_39,X_40),meet(X_40,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))),join(meet(X_39,X_40),meet(X_40,X_15))) ),[0],$fot(join(meet(X_40,X_15),meet(X_39,X_40)))]]) ).

cnf(refute_0_1809,plain,
    ( meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))) != join(meet(X_39,X_40),meet(X_40,X_15))
    | join(meet(X_40,X_15),meet(X_39,X_40)) = join(meet(X_39,X_40),meet(X_40,X_15)) ),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))),join(meet(X_40,X_15),meet(X_39,X_40))) )],[refute_0_1807,refute_0_1808]) ).

cnf(refute_0_1810,plain,
    join(meet(X_40,X_15),meet(X_39,X_40)) = join(meet(X_39,X_40),meet(X_40,X_15)),
    inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_40,X_15)),join(meet(X_40,X_15),meet(X_39,X_40))),join(meet(X_39,X_40),meet(X_40,X_15))) )],[refute_0_1806,refute_0_1809]) ).

cnf(refute_0_1811,plain,
    join(meet(X_39,X_40),meet(X_40,X_15)) = meet(X_40,join(X_39,X_15)),
    inference(subst,[],[refute_0_1671:[bind(X,$fot(X_15)),bind(Z,$fot(X_40)),bind(X_85,$fot(X_39))]]) ).

cnf(refute_0_1812,plain,
    ( join(meet(X_39,X_40),meet(X_40,X_15)) != meet(X_40,join(X_39,X_15))
    | join(meet(X_40,X_15),meet(X_39,X_40)) != join(meet(X_39,X_40),meet(X_40,X_15))
    | join(meet(X_40,X_15),meet(X_39,X_40)) = meet(X_40,join(X_39,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_40,X_15),meet(X_39,X_40)),join(meet(X_39,X_40),meet(X_40,X_15))) ),[1],$fot(meet(X_40,join(X_39,X_15)))]]) ).

cnf(refute_0_1813,plain,
    ( join(meet(X_40,X_15),meet(X_39,X_40)) != join(meet(X_39,X_40),meet(X_40,X_15))
    | join(meet(X_40,X_15),meet(X_39,X_40)) = meet(X_40,join(X_39,X_15)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_39,X_40),meet(X_40,X_15)),meet(X_40,join(X_39,X_15))) )],[refute_0_1811,refute_0_1812]) ).

cnf(refute_0_1814,plain,
    join(meet(X_40,X_15),meet(X_39,X_40)) = meet(X_40,join(X_39,X_15)),
    inference(resolve,[$cnf( $equal(join(meet(X_40,X_15),meet(X_39,X_40)),join(meet(X_39,X_40),meet(X_40,X_15))) )],[refute_0_1810,refute_0_1813]) ).

cnf(refute_0_1815,plain,
    join(meet(X_168,Y),meet(X_167,X_168)) = meet(X_168,join(X_167,Y)),
    inference(subst,[],[refute_0_1814:[bind(X_15,$fot(Y)),bind(X_39,$fot(X_167)),bind(X_40,$fot(X_168))]]) ).

cnf(refute_0_1816,plain,
    ( join(meet(X_168,Y),meet(X_167,X_168)) != meet(X_168,join(X_167,Y))
    | join(meet(X_168,Y),meet(X_168,X_167)) != join(meet(X_168,Y),meet(X_167,X_168))
    | join(meet(X_168,Y),meet(X_168,X_167)) = meet(X_168,join(X_167,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(X_168,Y),meet(X_168,X_167)),join(meet(X_168,Y),meet(X_167,X_168))) ),[1],$fot(meet(X_168,join(X_167,Y)))]]) ).

cnf(refute_0_1817,plain,
    ( join(meet(X_168,Y),meet(X_168,X_167)) != join(meet(X_168,Y),meet(X_167,X_168))
    | join(meet(X_168,Y),meet(X_168,X_167)) = meet(X_168,join(X_167,Y)) ),
    inference(resolve,[$cnf( $equal(join(meet(X_168,Y),meet(X_167,X_168)),meet(X_168,join(X_167,Y))) )],[refute_0_1815,refute_0_1816]) ).

cnf(refute_0_1818,plain,
    join(meet(X_168,Y),meet(X_168,X_167)) = meet(X_168,join(X_167,Y)),
    inference(resolve,[$cnf( $equal(join(meet(X_168,Y),meet(X_168,X_167)),join(meet(X_168,Y),meet(X_167,X_168))) )],[refute_0_1770,refute_0_1817]) ).

cnf(refute_0_1819,plain,
    join(meet(a,c),meet(a,join(b,d))) = meet(a,join(join(b,d),c)),
    inference(subst,[],[refute_0_1818:[bind(Y,$fot(c)),bind(X_167,$fot(join(b,d))),bind(X_168,$fot(a))]]) ).

cnf(refute_0_1820,plain,
    ( join(meet(a,c),meet(a,join(b,d))) != meet(a,join(join(b,d),c))
    | meet(a,join(join(b,d),c)) != meet(a,join(b,join(c,d)))
    | join(meet(a,c),meet(a,join(b,d))) = meet(a,join(b,join(c,d))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(a,c),meet(a,join(b,d))))),bind(Y0,$fot(meet(a,join(join(b,d),c)))),bind(Z0,$fot(meet(a,join(b,join(c,d)))))]]) ).

cnf(refute_0_1821,plain,
    ( meet(a,join(join(b,d),c)) != meet(a,join(b,join(c,d)))
    | join(meet(a,c),meet(a,join(b,d))) = meet(a,join(b,join(c,d))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,c),meet(a,join(b,d))),meet(a,join(join(b,d),c))) )],[refute_0_1819,refute_0_1820]) ).

cnf(refute_0_1822,plain,
    join(meet(a,c),meet(a,join(b,d))) = meet(a,join(b,join(c,d))),
    inference(resolve,[$cnf( $equal(meet(a,join(join(b,d),c)),meet(a,join(b,join(c,d)))) )],[refute_0_1750,refute_0_1821]) ).

cnf(refute_0_1823,plain,
    join(d,meet(c,d)) = d,
    inference(subst,[],[refute_0_86:[bind(X_10,$fot(d)),bind(X_11,$fot(c))]]) ).

cnf(refute_0_1824,plain,
    join(b,join(d,meet(c,d))) = join(b,join(d,meet(c,d))),
    introduced(tautology,[refl,[$fot(join(b,join(d,meet(c,d))))]]) ).

cnf(refute_0_1825,plain,
    ( join(b,join(d,meet(c,d))) != join(b,join(d,meet(c,d)))
    | join(d,meet(c,d)) != d
    | join(b,join(d,meet(c,d))) = join(b,d) ),
    introduced(tautology,[equality,[$cnf( $equal(join(b,join(d,meet(c,d))),join(b,join(d,meet(c,d)))) ),[1,1],$fot(d)]]) ).

cnf(refute_0_1826,plain,
    ( join(d,meet(c,d)) != d
    | join(b,join(d,meet(c,d))) = join(b,d) ),
    inference(resolve,[$cnf( $equal(join(b,join(d,meet(c,d))),join(b,join(d,meet(c,d)))) )],[refute_0_1824,refute_0_1825]) ).

cnf(refute_0_1827,plain,
    join(b,join(d,meet(c,d))) = join(b,d),
    inference(resolve,[$cnf( $equal(join(d,meet(c,d)),d) )],[refute_0_1823,refute_0_1826]) ).

cnf(refute_0_1828,plain,
    meet(a,join(b,join(d,meet(c,d)))) = meet(a,join(b,join(d,meet(c,d)))),
    introduced(tautology,[refl,[$fot(meet(a,join(b,join(d,meet(c,d)))))]]) ).

cnf(refute_0_1829,plain,
    ( join(b,join(d,meet(c,d))) != join(b,d)
    | meet(a,join(b,join(d,meet(c,d)))) != meet(a,join(b,join(d,meet(c,d))))
    | meet(a,join(b,join(d,meet(c,d)))) = meet(a,join(b,d)) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,join(b,join(d,meet(c,d)))),meet(a,join(b,join(d,meet(c,d))))) ),[1,1],$fot(join(b,d))]]) ).

cnf(refute_0_1830,plain,
    ( join(b,join(d,meet(c,d))) != join(b,d)
    | meet(a,join(b,join(d,meet(c,d)))) = meet(a,join(b,d)) ),
    inference(resolve,[$cnf( $equal(meet(a,join(b,join(d,meet(c,d)))),meet(a,join(b,join(d,meet(c,d))))) )],[refute_0_1828,refute_0_1829]) ).

cnf(refute_0_1831,plain,
    meet(a,join(b,join(d,meet(c,d)))) = meet(a,join(b,d)),
    inference(resolve,[$cnf( $equal(join(b,join(d,meet(c,d))),join(b,d)) )],[refute_0_1827,refute_0_1830]) ).

cnf(refute_0_1832,plain,
    meet(a,join(d,join(b,meet(c,d)))) = meet(a,join(b,join(d,meet(c,d)))),
    inference(subst,[],[refute_0_1733:[bind(X_179,$fot(a)),bind(X_180,$fot(b)),bind(X_20,$fot(d)),bind(X_21,$fot(meet(c,d)))]]) ).

cnf(refute_0_1833,plain,
    meet(a,join(join(b,meet(c,d)),d)) = meet(a,join(d,join(b,meet(c,d)))),
    inference(subst,[],[refute_0_1746:[bind(X_179,$fot(a)),bind(X_180,$fot(d)),bind(X_181,$fot(join(b,meet(c,d))))]]) ).

cnf(refute_0_1834,plain,
    ( meet(a,join(d,join(b,meet(c,d)))) != meet(a,join(b,join(d,meet(c,d))))
    | meet(a,join(join(b,meet(c,d)),d)) != meet(a,join(d,join(b,meet(c,d))))
    | meet(a,join(join(b,meet(c,d)),d)) = meet(a,join(b,join(d,meet(c,d)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(a,join(join(b,meet(c,d)),d)))),bind(Y0,$fot(meet(a,join(d,join(b,meet(c,d)))))),bind(Z0,$fot(meet(a,join(b,join(d,meet(c,d))))))]]) ).

cnf(refute_0_1835,plain,
    ( meet(a,join(d,join(b,meet(c,d)))) != meet(a,join(b,join(d,meet(c,d))))
    | meet(a,join(join(b,meet(c,d)),d)) = meet(a,join(b,join(d,meet(c,d)))) ),
    inference(resolve,[$cnf( $equal(meet(a,join(join(b,meet(c,d)),d)),meet(a,join(d,join(b,meet(c,d))))) )],[refute_0_1833,refute_0_1834]) ).

cnf(refute_0_1836,plain,
    meet(a,join(join(b,meet(c,d)),d)) = meet(a,join(b,join(d,meet(c,d)))),
    inference(resolve,[$cnf( $equal(meet(a,join(d,join(b,meet(c,d)))),meet(a,join(b,join(d,meet(c,d))))) )],[refute_0_1832,refute_0_1835]) ).

cnf(refute_0_1837,plain,
    join(meet(a,d),meet(a,join(b,meet(c,d)))) = meet(a,join(join(b,meet(c,d)),d)),
    inference(subst,[],[refute_0_1818:[bind(Y,$fot(d)),bind(X_167,$fot(join(b,meet(c,d)))),bind(X_168,$fot(a))]]) ).

cnf(refute_0_1838,plain,
    ( join(meet(a,d),meet(a,join(b,meet(c,d)))) != meet(a,join(join(b,meet(c,d)),d))
    | meet(a,join(join(b,meet(c,d)),d)) != meet(a,join(b,join(d,meet(c,d))))
    | join(meet(a,d),meet(a,join(b,meet(c,d)))) = meet(a,join(b,join(d,meet(c,d)))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(a,d),meet(a,join(b,meet(c,d)))))),bind(Y0,$fot(meet(a,join(join(b,meet(c,d)),d)))),bind(Z0,$fot(meet(a,join(b,join(d,meet(c,d))))))]]) ).

cnf(refute_0_1839,plain,
    ( meet(a,join(join(b,meet(c,d)),d)) != meet(a,join(b,join(d,meet(c,d))))
    | join(meet(a,d),meet(a,join(b,meet(c,d)))) = meet(a,join(b,join(d,meet(c,d)))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,d),meet(a,join(b,meet(c,d)))),meet(a,join(join(b,meet(c,d)),d))) )],[refute_0_1837,refute_0_1838]) ).

cnf(refute_0_1840,plain,
    join(meet(a,d),meet(a,join(b,meet(c,d)))) = meet(a,join(b,join(d,meet(c,d)))),
    inference(resolve,[$cnf( $equal(meet(a,join(join(b,meet(c,d)),d)),meet(a,join(b,join(d,meet(c,d))))) )],[refute_0_1836,refute_0_1839]) ).

cnf(refute_0_1841,plain,
    ( join(meet(a,d),meet(a,join(b,meet(c,d)))) != meet(a,join(b,join(d,meet(c,d))))
    | meet(a,join(b,join(d,meet(c,d)))) != meet(a,join(b,d))
    | join(meet(a,d),meet(a,join(b,meet(c,d)))) = meet(a,join(b,d)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(a,d),meet(a,join(b,meet(c,d)))))),bind(Y0,$fot(meet(a,join(b,join(d,meet(c,d)))))),bind(Z0,$fot(meet(a,join(b,d))))]]) ).

cnf(refute_0_1842,plain,
    ( meet(a,join(b,join(d,meet(c,d)))) != meet(a,join(b,d))
    | join(meet(a,d),meet(a,join(b,meet(c,d)))) = meet(a,join(b,d)) ),
    inference(resolve,[$cnf( $equal(join(meet(a,d),meet(a,join(b,meet(c,d)))),meet(a,join(b,join(d,meet(c,d))))) )],[refute_0_1840,refute_0_1841]) ).

cnf(refute_0_1843,plain,
    join(meet(a,d),meet(a,join(b,meet(c,d)))) = meet(a,join(b,d)),
    inference(resolve,[$cnf( $equal(meet(a,join(b,join(d,meet(c,d)))),meet(a,join(b,d))) )],[refute_0_1831,refute_0_1842]) ).

cnf(refute_0_1844,plain,
    join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) = join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))),
    introduced(tautology,[refl,[$fot(join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))]]) ).

cnf(refute_0_1845,plain,
    ( join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) != join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))
    | join(meet(a,d),meet(a,join(b,meet(c,d)))) != meet(a,join(b,d))
    | join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) = join(meet(a,c),meet(a,join(b,d))) ),
    introduced(tautology,[equality,[$cnf( $equal(join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) ),[1,1],$fot(meet(a,join(b,d)))]]) ).

cnf(refute_0_1846,plain,
    ( join(meet(a,d),meet(a,join(b,meet(c,d)))) != meet(a,join(b,d))
    | join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) = join(meet(a,c),meet(a,join(b,d))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) )],[refute_0_1844,refute_0_1845]) ).

cnf(refute_0_1847,plain,
    join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) = join(meet(a,c),meet(a,join(b,d))),
    inference(resolve,[$cnf( $equal(join(meet(a,d),meet(a,join(b,meet(c,d)))),meet(a,join(b,d))) )],[refute_0_1843,refute_0_1846]) ).

cnf(refute_0_1848,plain,
    ( join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) != join(meet(a,c),meet(a,join(b,d)))
    | join(meet(a,c),meet(a,join(b,d))) != meet(a,join(b,join(c,d)))
    | join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) = meet(a,join(b,join(c,d))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))),bind(Y0,$fot(join(meet(a,c),meet(a,join(b,d))))),bind(Z0,$fot(meet(a,join(b,join(c,d)))))]]) ).

cnf(refute_0_1849,plain,
    ( join(meet(a,c),meet(a,join(b,d))) != meet(a,join(b,join(c,d)))
    | join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) = meet(a,join(b,join(c,d))) ),
    inference(resolve,[$cnf( $equal(join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))),join(meet(a,c),meet(a,join(b,d)))) )],[refute_0_1847,refute_0_1848]) ).

cnf(refute_0_1850,plain,
    join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) = meet(a,join(b,join(c,d))),
    inference(resolve,[$cnf( $equal(join(meet(a,c),meet(a,join(b,d))),meet(a,join(b,join(c,d)))) )],[refute_0_1822,refute_0_1849]) ).

cnf(refute_0_1851,plain,
    meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) = meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))),
    introduced(tautology,[refl,[$fot(meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))]]) ).

cnf(refute_0_1852,plain,
    ( join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) != meet(a,join(b,join(c,d)))
    | meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) != meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))
    | meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) = meet(join(b,d),meet(a,join(b,join(c,d)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) ),[1,1],$fot(meet(a,join(b,join(c,d))))]]) ).

cnf(refute_0_1853,plain,
    ( join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))) != meet(a,join(b,join(c,d)))
    | meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) = meet(join(b,d),meet(a,join(b,join(c,d)))) ),
    inference(resolve,[$cnf( $equal(meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) )],[refute_0_1851,refute_0_1852]) ).

cnf(refute_0_1854,plain,
    meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) = meet(join(b,d),meet(a,join(b,join(c,d)))),
    inference(resolve,[$cnf( $equal(join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))),meet(a,join(b,join(c,d)))) )],[refute_0_1850,refute_0_1853]) ).

cnf(refute_0_1855,plain,
    ( meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) != meet(join(b,d),meet(a,join(b,join(c,d))))
    | meet(join(b,d),meet(a,join(b,join(c,d)))) != meet(a,join(b,d))
    | meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) = meet(a,join(b,d)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))),bind(Y0,$fot(meet(join(b,d),meet(a,join(b,join(c,d)))))),bind(Z0,$fot(meet(a,join(b,d))))]]) ).

cnf(refute_0_1856,plain,
    ( meet(join(b,d),meet(a,join(b,join(c,d)))) != meet(a,join(b,d))
    | meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) = meet(a,join(b,d)) ),
    inference(resolve,[$cnf( $equal(meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))),meet(join(b,d),meet(a,join(b,join(c,d))))) )],[refute_0_1854,refute_0_1855]) ).

cnf(refute_0_1857,plain,
    meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) = meet(a,join(b,d)),
    inference(resolve,[$cnf( $equal(meet(join(b,d),meet(a,join(b,join(c,d)))),meet(a,join(b,d))) )],[refute_0_1721,refute_0_1856]) ).

cnf(refute_0_1858,plain,
    meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) = meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))),
    introduced(tautology,[refl,[$fot(meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))]]) ).

cnf(refute_0_1859,plain,
    ( meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) != meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))
    | meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) != meet(a,join(b,d))
    | meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) = meet(join(b,c),meet(a,join(b,d))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))),meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) ),[1,1],$fot(meet(a,join(b,d)))]]) ).

cnf(refute_0_1860,plain,
    ( meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))) != meet(a,join(b,d))
    | meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) = meet(join(b,c),meet(a,join(b,d))) ),
    inference(resolve,[$cnf( $equal(meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))),meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) )],[refute_0_1858,refute_0_1859]) ).

cnf(refute_0_1861,plain,
    meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) = meet(join(b,c),meet(a,join(b,d))),
    inference(resolve,[$cnf( $equal(meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))),meet(a,join(b,d))) )],[refute_0_1857,refute_0_1860]) ).

cnf(refute_0_1862,plain,
    ( meet(join(b,c),meet(a,join(b,d))) != meet(a,meet(join(b,c),join(b,d)))
    | meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) != meet(join(b,c),meet(a,join(b,d)))
    | meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) = meet(a,meet(join(b,c),join(b,d))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))),bind(Y0,$fot(meet(join(b,c),meet(a,join(b,d))))),bind(Z0,$fot(meet(a,meet(join(b,c),join(b,d)))))]]) ).

cnf(refute_0_1863,plain,
    ( meet(join(b,c),meet(a,join(b,d))) != meet(a,meet(join(b,c),join(b,d)))
    | meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) = meet(a,meet(join(b,c),join(b,d))) ),
    inference(resolve,[$cnf( $equal(meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))),meet(join(b,c),meet(a,join(b,d)))) )],[refute_0_1861,refute_0_1862]) ).

cnf(refute_0_1864,plain,
    meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) = meet(a,meet(join(b,c),join(b,d))),
    inference(resolve,[$cnf( $equal(meet(join(b,c),meet(a,join(b,d))),meet(a,meet(join(b,c),join(b,d)))) )],[refute_0_1712,refute_0_1863]) ).

cnf(refute_0_1865,plain,
    meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) = meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))),
    introduced(tautology,[refl,[$fot(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))))]]) ).

cnf(refute_0_1866,plain,
    ( meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))
    | meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) != meet(a,meet(join(b,c),join(b,d)))
    | meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) = meet(a,meet(a,meet(join(b,c),join(b,d)))) ),
    introduced(tautology,[equality,[$cnf( $equal(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))),meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))) ),[1,1],$fot(meet(a,meet(join(b,c),join(b,d))))]]) ).

cnf(refute_0_1867,plain,
    ( meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))) != meet(a,meet(join(b,c),join(b,d)))
    | meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) = meet(a,meet(a,meet(join(b,c),join(b,d)))) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))),meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))) )],[refute_0_1865,refute_0_1866]) ).

cnf(refute_0_1868,plain,
    meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) = meet(a,meet(a,meet(join(b,c),join(b,d)))),
    inference(resolve,[$cnf( $equal(meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))),meet(a,meet(join(b,c),join(b,d)))) )],[refute_0_1864,refute_0_1867]) ).

cnf(refute_0_1869,plain,
    ( meet(a,meet(a,meet(join(b,c),join(b,d)))) != meet(a,meet(join(b,c),join(b,d)))
    | meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) != meet(a,meet(a,meet(join(b,c),join(b,d))))
    | meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) = meet(a,meet(join(b,c),join(b,d))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))))),bind(Y0,$fot(meet(a,meet(a,meet(join(b,c),join(b,d)))))),bind(Z0,$fot(meet(a,meet(join(b,c),join(b,d)))))]]) ).

cnf(refute_0_1870,plain,
    ( meet(a,meet(a,meet(join(b,c),join(b,d)))) != meet(a,meet(join(b,c),join(b,d)))
    | meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) = meet(a,meet(join(b,c),join(b,d))) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))),meet(a,meet(a,meet(join(b,c),join(b,d))))) )],[refute_0_1868,refute_0_1869]) ).

cnf(refute_0_1871,plain,
    meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) = meet(a,meet(join(b,c),join(b,d))),
    inference(resolve,[$cnf( $equal(meet(a,meet(a,meet(join(b,c),join(b,d)))),meet(a,meet(join(b,c),join(b,d)))) )],[refute_0_54,refute_0_1870]) ).

cnf(refute_0_1872,plain,
    ( meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),join(b,d)))
    | meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) != meet(a,meet(join(b,c),join(b,d)))
    | meet(a,meet(join(b,c),join(b,d))) = meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(meet(a,meet(join(b,c),join(b,d))),meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))) ),[1],$fot(meet(a,meet(join(b,c),join(b,d))))]]) ).

cnf(refute_0_1873,plain,
    ( meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),join(b,d)))
    | meet(a,meet(join(b,c),join(b,d))) = meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))) ),
    inference(resolve,[$cnf( $equal(meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d)))))))),meet(a,meet(join(b,c),join(b,d)))) )],[refute_0_1871,refute_0_1872]) ).

cnf(refute_0_1874,plain,
    meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),join(b,d))),
    inference(resolve,[$cnf( $equal(meet(a,meet(join(b,c),join(b,d))),meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,c),join(meet(a,d),meet(a,join(b,meet(c,d))))))))) )],[refute_0_1873,refute_0_34]) ).

cnf(refute_0_1875,plain,
    meet(a,meet(join(b,c),join(b,d))) = meet(a,meet(join(b,c),join(b,d))),
    introduced(tautology,[refl,[$fot(meet(a,meet(join(b,c),join(b,d))))]]) ).

cnf(refute_0_1876,plain,
    $false,
    inference(resolve,[$cnf( $equal(meet(a,meet(join(b,c),join(b,d))),meet(a,meet(join(b,c),join(b,d)))) )],[refute_0_1875,refute_0_1874]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT010-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun 30 01:24:07 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 16.35/16.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.35/16.53  
% 16.35/16.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.62/16.80  
%------------------------------------------------------------------------------