TSTP Solution File: LAT009-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT009-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 05:58:50 EDT 2022
% Result : Unsatisfiable 31.84s 32.03s
% Output : CNFRefutation 32.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 163
% Number of leaves : 523
% Syntax : Number of clauses : 2488 (1272 unt; 0 nHn;1177 RR)
% Number of literals : 4241 (4240 equ;1755 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8309 ( 264 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_meet,axiom,
meet(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(distributivity_dual,axiom,
join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) = meet(join(meet(join(X,Y),Z),Y),join(Z,X)) ).
cnf(prove_distributivity,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)) ).
cnf(refute_0_0,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_1,plain,
( meet(X,join(X,Y)) != X
| meet(X,join(Y,X)) = X ),
inference(resolve,[$cnf( $equal(join(X,Y),join(Y,X)) )],[commutativity_of_join,refute_0_0]) ).
cnf(refute_0_2,plain,
meet(X,join(Y,X)) = X,
inference(resolve,[$cnf( $equal(meet(X,join(X,Y)),X) )],[absorption1,refute_0_1]) ).
cnf(refute_0_3,plain,
meet(X,join(join(X_25,X_26),X)) = X,
inference(subst,[],[refute_0_2:[bind(Y,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_4,plain,
join(join(X_25,X_26),X) = join(X_25,join(X_26,X)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_25)),bind(Y,$fot(X_26)),bind(Z,$fot(X))]]) ).
cnf(refute_0_5,plain,
( join(join(X_25,X_26),X) != join(X_25,join(X_26,X))
| meet(X,join(join(X_25,X_26),X)) != X
| meet(X,join(X_25,join(X_26,X))) = X ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(join(X_25,X_26),X)),X) ),[0,1],$fot(join(X_25,join(X_26,X)))]]) ).
cnf(refute_0_6,plain,
( meet(X,join(join(X_25,X_26),X)) != X
| meet(X,join(X_25,join(X_26,X))) = X ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),X),join(X_25,join(X_26,X))) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
meet(X,join(X_25,join(X_26,X))) = X,
inference(resolve,[$cnf( $equal(meet(X,join(join(X_25,X_26),X)),X) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = meet(join(X_214,X_213),join(X_214,X_215)),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(X_214,X_213),join(X_214,X_215)))),bind(X_26,$fot(meet(X_215,X_214)))]]) ).
cnf(refute_0_9,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_10,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_11,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( meet(X,Y) != meet(Y,X)
| meet(Y,X) = meet(X,Y) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X,Y))),bind(Y0,$fot(meet(Y,X)))]]) ).
cnf(refute_0_13,plain,
meet(Y,X) = meet(X,Y),
inference(resolve,[$cnf( $equal(meet(X,Y),meet(Y,X)) )],[commutativity_of_meet,refute_0_12]) ).
cnf(refute_0_14,plain,
meet(join(meet(X,Y),Z),Y) = meet(Y,join(meet(X,Y),Z)),
inference(subst,[],[refute_0_13:[bind(X,$fot(Y)),bind(Y,$fot(join(meet(X,Y),Z)))]]) ).
cnf(refute_0_15,plain,
join(meet(Z,X),meet(join(meet(X,Y),Z),Y)) = join(meet(Z,X),meet(join(meet(X,Y),Z),Y)),
introduced(tautology,[refl,[$fot(join(meet(Z,X),meet(join(meet(X,Y),Z),Y)))]]) ).
cnf(refute_0_16,plain,
( join(meet(Z,X),meet(join(meet(X,Y),Z),Y)) != join(meet(Z,X),meet(join(meet(X,Y),Z),Y))
| meet(join(meet(X,Y),Z),Y) != meet(Y,join(meet(X,Y),Z))
| join(meet(Z,X),meet(join(meet(X,Y),Z),Y)) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(join(meet(X,Y),Z),Y)),join(meet(Z,X),meet(join(meet(X,Y),Z),Y))) ),[1,1],$fot(meet(Y,join(meet(X,Y),Z)))]]) ).
cnf(refute_0_17,plain,
( meet(join(meet(X,Y),Z),Y) != meet(Y,join(meet(X,Y),Z))
| join(meet(Z,X),meet(join(meet(X,Y),Z),Y)) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(meet(X,Y),Z),Y)),join(meet(Z,X),meet(join(meet(X,Y),Z),Y))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
join(meet(Z,X),meet(join(meet(X,Y),Z),Y)) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))),
inference(resolve,[$cnf( $equal(meet(join(meet(X,Y),Z),Y),meet(Y,join(meet(X,Y),Z))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
( join(X,Y) != join(Y,X)
| join(Y,X) = join(X,Y) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X,Y))),bind(Y0,$fot(join(Y,X)))]]) ).
cnf(refute_0_20,plain,
join(Y,X) = join(X,Y),
inference(resolve,[$cnf( $equal(join(X,Y),join(Y,X)) )],[commutativity_of_join,refute_0_19]) ).
cnf(refute_0_21,plain,
join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) = join(meet(Z,X),meet(join(meet(X,Y),Z),Y)),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(Z,X))),bind(Y,$fot(meet(join(meet(X,Y),Z),Y)))]]) ).
cnf(refute_0_22,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_23,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_11,refute_0_22]) ).
cnf(refute_0_24,plain,
( join(meet(Z,X),meet(join(meet(X,Y),Z),Y)) != join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))
| join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) != join(meet(Z,X),meet(join(meet(X,Y),Z),Y))
| join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(join(meet(X,Y),Z),Y),meet(Z,X)))),bind(Y0,$fot(join(meet(Z,X),meet(join(meet(X,Y),Z),Y)))),bind(Z0,$fot(join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))))]]) ).
cnf(refute_0_25,plain,
( join(meet(Z,X),meet(join(meet(X,Y),Z),Y)) != join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))
| join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) ),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X,Y),Z),Y),meet(Z,X)),join(meet(Z,X),meet(join(meet(X,Y),Z),Y))) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(meet(X,Y),Z),Y)),join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))) )],[refute_0_18,refute_0_25]) ).
cnf(refute_0_27,plain,
( join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) != join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))
| join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) != meet(join(meet(join(X,Y),Z),Y),join(Z,X))
| join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) = meet(join(meet(join(X,Y),Z),Y),join(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(meet(X,Y),Z),Y),meet(Z,X)),meet(join(meet(join(X,Y),Z),Y),join(Z,X))) ),[0],$fot(join(meet(Z,X),meet(Y,join(meet(X,Y),Z))))]]) ).
cnf(refute_0_28,plain,
( join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) != meet(join(meet(join(X,Y),Z),Y),join(Z,X))
| join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) = meet(join(meet(join(X,Y),Z),Y),join(Z,X)) ),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X,Y),Z),Y),meet(Z,X)),join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
join(meet(join(X,Y),Z),Y) = join(Y,meet(join(X,Y),Z)),
inference(subst,[],[refute_0_20:[bind(X,$fot(Y)),bind(Y,$fot(meet(join(X,Y),Z)))]]) ).
cnf(refute_0_30,plain,
meet(join(Z,X),join(meet(join(X,Y),Z),Y)) = meet(join(Z,X),join(meet(join(X,Y),Z),Y)),
introduced(tautology,[refl,[$fot(meet(join(Z,X),join(meet(join(X,Y),Z),Y)))]]) ).
cnf(refute_0_31,plain,
( join(meet(join(X,Y),Z),Y) != join(Y,meet(join(X,Y),Z))
| meet(join(Z,X),join(meet(join(X,Y),Z),Y)) != meet(join(Z,X),join(meet(join(X,Y),Z),Y))
| meet(join(Z,X),join(meet(join(X,Y),Z),Y)) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(Z,X),join(meet(join(X,Y),Z),Y)),meet(join(Z,X),join(meet(join(X,Y),Z),Y))) ),[1,1],$fot(join(Y,meet(join(X,Y),Z)))]]) ).
cnf(refute_0_32,plain,
( join(meet(join(X,Y),Z),Y) != join(Y,meet(join(X,Y),Z))
| meet(join(Z,X),join(meet(join(X,Y),Z),Y)) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))) ),
inference(resolve,[$cnf( $equal(meet(join(Z,X),join(meet(join(X,Y),Z),Y)),meet(join(Z,X),join(meet(join(X,Y),Z),Y))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
meet(join(Z,X),join(meet(join(X,Y),Z),Y)) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))),
inference(resolve,[$cnf( $equal(join(meet(join(X,Y),Z),Y),join(Y,meet(join(X,Y),Z))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
meet(join(meet(join(X,Y),Z),Y),join(Z,X)) = meet(join(Z,X),join(meet(join(X,Y),Z),Y)),
inference(subst,[],[refute_0_13:[bind(X,$fot(join(Z,X))),bind(Y,$fot(join(meet(join(X,Y),Z),Y)))]]) ).
cnf(refute_0_35,plain,
( meet(join(Z,X),join(meet(join(X,Y),Z),Y)) != meet(join(Z,X),join(Y,meet(join(X,Y),Z)))
| meet(join(meet(join(X,Y),Z),Y),join(Z,X)) != meet(join(Z,X),join(meet(join(X,Y),Z),Y))
| meet(join(meet(join(X,Y),Z),Y),join(Z,X)) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(join(X,Y),Z),Y),join(Z,X)))),bind(Y0,$fot(meet(join(Z,X),join(meet(join(X,Y),Z),Y)))),bind(Z0,$fot(meet(join(Z,X),join(Y,meet(join(X,Y),Z)))))]]) ).
cnf(refute_0_36,plain,
( meet(join(Z,X),join(meet(join(X,Y),Z),Y)) != meet(join(Z,X),join(Y,meet(join(X,Y),Z)))
| meet(join(meet(join(X,Y),Z),Y),join(Z,X)) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X,Y),Z),Y),join(Z,X)),meet(join(Z,X),join(meet(join(X,Y),Z),Y))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
meet(join(meet(join(X,Y),Z),Y),join(Z,X)) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))),
inference(resolve,[$cnf( $equal(meet(join(Z,X),join(meet(join(X,Y),Z),Y)),meet(join(Z,X),join(Y,meet(join(X,Y),Z)))) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
( join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) != meet(join(meet(join(X,Y),Z),Y),join(Z,X))
| meet(join(meet(join(X,Y),Z),Y),join(Z,X)) != meet(join(Z,X),join(Y,meet(join(X,Y),Z)))
| join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(Z,X),meet(Y,join(meet(X,Y),Z))),meet(join(Z,X),join(Y,meet(join(X,Y),Z)))) ),[0],$fot(meet(join(meet(join(X,Y),Z),Y),join(Z,X)))]]) ).
cnf(refute_0_39,plain,
( join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) != meet(join(meet(join(X,Y),Z),Y),join(Z,X))
| join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X,Y),Z),Y),join(Z,X)),meet(join(Z,X),join(Y,meet(join(X,Y),Z)))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( join(meet(join(meet(X,Y),Z),Y),meet(Z,X)) != meet(join(meet(join(X,Y),Z),Y),join(Z,X))
| join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Y,join(meet(X,Y),Z))),meet(join(meet(join(X,Y),Z),Y),join(Z,X))) )],[refute_0_28,refute_0_39]) ).
cnf(refute_0_41,plain,
join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X,Y),Z),Y),meet(Z,X)),meet(join(meet(join(X,Y),Z),Y),join(Z,X))) )],[distributivity_dual,refute_0_40]) ).
cnf(refute_0_42,plain,
join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) = meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,join(X_35,X_14)),X_37))),
inference(subst,[],[refute_0_41:[bind(X,$fot(X_35)),bind(Y,$fot(join(X_35,X_14))),bind(Z,$fot(X_37))]]) ).
cnf(refute_0_43,plain,
join(X_6,meet(X_6,X_7)) = X_6,
inference(subst,[],[absorption2:[bind(X,$fot(X_6)),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_44,plain,
meet(X_7,X_6) = meet(X_6,X_7),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_7)),bind(Y,$fot(X_6))]]) ).
cnf(refute_0_45,plain,
( meet(X_7,X_6) != meet(X_6,X_7)
| meet(X_6,X_7) = meet(X_7,X_6) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_7,X_6))),bind(Y0,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_46,plain,
meet(X_6,X_7) = meet(X_7,X_6),
inference(resolve,[$cnf( $equal(meet(X_7,X_6),meet(X_6,X_7)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( join(X_6,meet(X_6,X_7)) != X_6
| meet(X_6,X_7) != meet(X_7,X_6)
| join(X_6,meet(X_7,X_6)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,meet(X_6,X_7)),X_6) ),[0,1],$fot(meet(X_7,X_6))]]) ).
cnf(refute_0_48,plain,
( join(X_6,meet(X_6,X_7)) != X_6
| join(X_6,meet(X_7,X_6)) = X_6 ),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),meet(X_7,X_6)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
join(X_6,meet(X_7,X_6)) = X_6,
inference(resolve,[$cnf( $equal(join(X_6,meet(X_6,X_7)),X_6) )],[refute_0_43,refute_0_48]) ).
cnf(refute_0_50,plain,
join(join(X_9,Y),meet(X_9,join(X_9,Y))) = join(X_9,Y),
inference(subst,[],[refute_0_49:[bind(X_6,$fot(join(X_9,Y))),bind(X_7,$fot(X_9))]]) ).
cnf(refute_0_51,plain,
meet(X_9,join(X_9,Y)) = X_9,
inference(subst,[],[absorption1:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_52,plain,
( join(join(X_9,Y),meet(X_9,join(X_9,Y))) != join(X_9,Y)
| meet(X_9,join(X_9,Y)) != X_9
| join(join(X_9,Y),X_9) = join(X_9,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_9,Y),meet(X_9,join(X_9,Y))),join(X_9,Y)) ),[0,1],$fot(X_9)]]) ).
cnf(refute_0_53,plain,
( join(join(X_9,Y),meet(X_9,join(X_9,Y))) != join(X_9,Y)
| join(join(X_9,Y),X_9) = join(X_9,Y) ),
inference(resolve,[$cnf( $equal(meet(X_9,join(X_9,Y)),X_9) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
join(join(X_9,Y),X_9) = join(X_9,Y),
inference(resolve,[$cnf( $equal(join(join(X_9,Y),meet(X_9,join(X_9,Y))),join(X_9,Y)) )],[refute_0_50,refute_0_53]) ).
cnf(refute_0_55,plain,
join(join(X_9,Y),X_9) = join(X_9,join(Y,X_9)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_9)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_56,plain,
( join(join(X_9,Y),X_9) != join(X_9,Y)
| join(join(X_9,Y),X_9) != join(X_9,join(Y,X_9))
| join(X_9,join(Y,X_9)) = join(X_9,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_9,Y),X_9),join(X_9,Y)) ),[0],$fot(join(X_9,join(Y,X_9)))]]) ).
cnf(refute_0_57,plain,
( join(join(X_9,Y),X_9) != join(X_9,Y)
| join(X_9,join(Y,X_9)) = join(X_9,Y) ),
inference(resolve,[$cnf( $equal(join(join(X_9,Y),X_9),join(X_9,join(Y,X_9))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
join(X_9,join(Y,X_9)) = join(X_9,Y),
inference(resolve,[$cnf( $equal(join(join(X_9,Y),X_9),join(X_9,Y)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
join(X_15,join(X_14,X_15)) = join(X_15,X_14),
inference(subst,[],[refute_0_58:[bind(Y,$fot(X_14)),bind(X_9,$fot(X_15))]]) ).
cnf(refute_0_60,plain,
join(X_15,X_14) = join(X_14,X_15),
inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_15)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_61,plain,
( join(X_15,X_14) != join(X_14,X_15)
| join(X_14,X_15) = join(X_15,X_14) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_15,X_14))),bind(Y0,$fot(join(X_14,X_15)))]]) ).
cnf(refute_0_62,plain,
join(X_14,X_15) = join(X_15,X_14),
inference(resolve,[$cnf( $equal(join(X_15,X_14),join(X_14,X_15)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( join(X_14,X_15) != join(X_15,X_14)
| join(X_15,join(X_14,X_15)) != join(X_15,X_14)
| join(X_15,join(X_15,X_14)) = join(X_15,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_15,join(X_14,X_15)),join(X_15,X_14)) ),[0,1],$fot(join(X_15,X_14))]]) ).
cnf(refute_0_64,plain,
( join(X_15,join(X_14,X_15)) != join(X_15,X_14)
| join(X_15,join(X_15,X_14)) = join(X_15,X_14) ),
inference(resolve,[$cnf( $equal(join(X_14,X_15),join(X_15,X_14)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
join(X_15,join(X_15,X_14)) = join(X_15,X_14),
inference(resolve,[$cnf( $equal(join(X_15,join(X_14,X_15)),join(X_15,X_14)) )],[refute_0_59,refute_0_64]) ).
cnf(refute_0_66,plain,
join(X_35,join(X_35,X_14)) = join(X_35,X_14),
inference(subst,[],[refute_0_65:[bind(X_15,$fot(X_35))]]) ).
cnf(refute_0_67,plain,
( join(X_35,join(X_35,X_14)) != join(X_35,X_14)
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) != meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,join(X_35,X_14)),X_37)))
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) = meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))),meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,join(X_35,X_14)),X_37)))) ),[1,1,1,0],$fot(join(X_35,X_14))]]) ).
cnf(refute_0_68,plain,
( join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) != meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,join(X_35,X_14)),X_37)))
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) = meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))) ),
inference(resolve,[$cnf( $equal(join(X_35,join(X_35,X_14)),join(X_35,X_14)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) = meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))),meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,join(X_35,X_14)),X_37)))) )],[refute_0_42,refute_0_68]) ).
cnf(refute_0_70,plain,
meet(X_35,join(X_35,X_14)) = X_35,
inference(subst,[],[absorption1:[bind(X,$fot(X_35)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_71,plain,
join(meet(X_35,join(X_35,X_14)),X_37) = join(meet(X_35,join(X_35,X_14)),X_37),
introduced(tautology,[refl,[$fot(join(meet(X_35,join(X_35,X_14)),X_37))]]) ).
cnf(refute_0_72,plain,
( join(meet(X_35,join(X_35,X_14)),X_37) != join(meet(X_35,join(X_35,X_14)),X_37)
| meet(X_35,join(X_35,X_14)) != X_35
| join(meet(X_35,join(X_35,X_14)),X_37) = join(X_35,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_35,join(X_35,X_14)),X_37),join(meet(X_35,join(X_35,X_14)),X_37)) ),[1,0],$fot(X_35)]]) ).
cnf(refute_0_73,plain,
( meet(X_35,join(X_35,X_14)) != X_35
| join(meet(X_35,join(X_35,X_14)),X_37) = join(X_35,X_37) ),
inference(resolve,[$cnf( $equal(join(meet(X_35,join(X_35,X_14)),X_37),join(meet(X_35,join(X_35,X_14)),X_37)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
join(meet(X_35,join(X_35,X_14)),X_37) = join(X_35,X_37),
inference(resolve,[$cnf( $equal(meet(X_35,join(X_35,X_14)),X_35) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)) = meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)),
introduced(tautology,[refl,[$fot(meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)))]]) ).
cnf(refute_0_76,plain,
( join(meet(X_35,join(X_35,X_14)),X_37) != join(X_35,X_37)
| meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)) != meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))
| meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)) = meet(join(X_35,X_14),join(X_35,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) ),[1,1],$fot(join(X_35,X_37))]]) ).
cnf(refute_0_77,plain,
( join(meet(X_35,join(X_35,X_14)),X_37) != join(X_35,X_37)
| meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)) = meet(join(X_35,X_14),join(X_35,X_37)) ),
inference(resolve,[$cnf( $equal(meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)) = meet(join(X_35,X_14),join(X_35,X_37)),
inference(resolve,[$cnf( $equal(join(meet(X_35,join(X_35,X_14)),X_37),join(X_35,X_37)) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) = join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))),
introduced(tautology,[refl,[$fot(join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))))]]) ).
cnf(refute_0_80,plain,
( join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) != join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)))
| meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)) != meet(join(X_35,X_14),join(X_35,X_37))
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) = join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))),join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)))) ),[1,1],$fot(meet(join(X_35,X_14),join(X_35,X_37)))]]) ).
cnf(refute_0_81,plain,
( meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)) != meet(join(X_35,X_14),join(X_35,X_37))
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) = join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))),join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) = join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))),
inference(resolve,[$cnf( $equal(meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37)),meet(join(X_35,X_14),join(X_35,X_37))) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
( join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) != join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37)))
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) != meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))) = meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))),meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))) ),[0],$fot(join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))))]]) ).
cnf(refute_0_84,plain,
( join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) != meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))) = meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))),join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37)))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
join(join(X_25,X_26),meet(join(X_25,X_26),Y)) = join(X_25,X_26),
inference(subst,[],[absorption2:[bind(X,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_86,plain,
join(join(X_25,X_26),meet(join(X_25,X_26),Y)) = join(X_25,join(X_26,meet(join(X_25,X_26),Y))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_25)),bind(Y,$fot(X_26)),bind(Z,$fot(meet(join(X_25,X_26),Y)))]]) ).
cnf(refute_0_87,plain,
( join(join(X_25,X_26),meet(join(X_25,X_26),Y)) != join(X_25,X_26)
| join(join(X_25,X_26),meet(join(X_25,X_26),Y)) != join(X_25,join(X_26,meet(join(X_25,X_26),Y)))
| join(X_25,join(X_26,meet(join(X_25,X_26),Y))) = join(X_25,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,X_26),meet(join(X_25,X_26),Y)),join(X_25,X_26)) ),[0],$fot(join(X_25,join(X_26,meet(join(X_25,X_26),Y))))]]) ).
cnf(refute_0_88,plain,
( join(join(X_25,X_26),meet(join(X_25,X_26),Y)) != join(X_25,X_26)
| join(X_25,join(X_26,meet(join(X_25,X_26),Y))) = join(X_25,X_26) ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),meet(join(X_25,X_26),Y)),join(X_25,join(X_26,meet(join(X_25,X_26),Y)))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
join(X_25,join(X_26,meet(join(X_25,X_26),Y))) = join(X_25,X_26),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),meet(join(X_25,X_26),Y)),join(X_25,X_26)) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
join(X_35,join(X_14,meet(join(X_35,X_14),X_37))) = join(X_35,X_14),
inference(subst,[],[refute_0_89:[bind(Y,$fot(X_37)),bind(X_25,$fot(X_35)),bind(X_26,$fot(X_14))]]) ).
cnf(refute_0_91,plain,
join(join(X_35,X_14),meet(join(X_35,X_14),X_37)) = join(X_35,join(X_14,meet(join(X_35,X_14),X_37))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_35)),bind(Y,$fot(X_14)),bind(Z,$fot(meet(join(X_35,X_14),X_37)))]]) ).
cnf(refute_0_92,plain,
( join(X_35,join(X_14,meet(join(X_35,X_14),X_37))) != join(X_35,X_14)
| join(join(X_35,X_14),meet(join(X_35,X_14),X_37)) != join(X_35,join(X_14,meet(join(X_35,X_14),X_37)))
| join(join(X_35,X_14),meet(join(X_35,X_14),X_37)) = join(X_35,X_14) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))),bind(Y0,$fot(join(X_35,join(X_14,meet(join(X_35,X_14),X_37))))),bind(Z0,$fot(join(X_35,X_14)))]]) ).
cnf(refute_0_93,plain,
( join(X_35,join(X_14,meet(join(X_35,X_14),X_37))) != join(X_35,X_14)
| join(join(X_35,X_14),meet(join(X_35,X_14),X_37)) = join(X_35,X_14) ),
inference(resolve,[$cnf( $equal(join(join(X_35,X_14),meet(join(X_35,X_14),X_37)),join(X_35,join(X_14,meet(join(X_35,X_14),X_37)))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
join(join(X_35,X_14),meet(join(X_35,X_14),X_37)) = join(X_35,X_14),
inference(resolve,[$cnf( $equal(join(X_35,join(X_14,meet(join(X_35,X_14),X_37))),join(X_35,X_14)) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))) = meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))),
introduced(tautology,[refl,[$fot(meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))))]]) ).
cnf(refute_0_96,plain,
( join(join(X_35,X_14),meet(join(X_35,X_14),X_37)) != join(X_35,X_14)
| meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))) != meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))
| meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))) = meet(join(X_37,X_35),join(X_35,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))),meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))) ),[1,1],$fot(join(X_35,X_14))]]) ).
cnf(refute_0_97,plain,
( join(join(X_35,X_14),meet(join(X_35,X_14),X_37)) != join(X_35,X_14)
| meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))) = meet(join(X_37,X_35),join(X_35,X_14)) ),
inference(resolve,[$cnf( $equal(meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))),meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))) = meet(join(X_37,X_35),join(X_35,X_14)),
inference(resolve,[$cnf( $equal(join(join(X_35,X_14),meet(join(X_35,X_14),X_37)),join(X_35,X_14)) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
( join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))) != meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))
| meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))) != meet(join(X_37,X_35),join(X_35,X_14))
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))) = meet(join(X_37,X_35),join(X_35,X_14)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))),meet(join(X_37,X_35),join(X_35,X_14))) ),[0],$fot(meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))))]]) ).
cnf(refute_0_100,plain,
( join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))) != meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))) = meet(join(X_37,X_35),join(X_35,X_14)) ),
inference(resolve,[$cnf( $equal(meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37))),meet(join(X_37,X_35),join(X_35,X_14))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
( join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))) != meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))
| join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))) = meet(join(X_37,X_35),join(X_35,X_14)) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))),meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))) )],[refute_0_84,refute_0_100]) ).
cnf(refute_0_102,plain,
join(meet(X_37,X_35),meet(join(X_35,X_14),join(X_35,X_37))) = meet(join(X_37,X_35),join(X_35,X_14)),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_35),meet(join(X_35,X_14),join(meet(X_35,join(X_35,X_14)),X_37))),meet(join(X_37,X_35),join(join(X_35,X_14),meet(join(X_35,X_14),X_37)))) )],[refute_0_69,refute_0_101]) ).
cnf(refute_0_103,plain,
join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))) = meet(join(X_215,X_214),join(X_214,X_213)),
inference(subst,[],[refute_0_102:[bind(X_14,$fot(X_213)),bind(X_35,$fot(X_214)),bind(X_37,$fot(X_215))]]) ).
cnf(refute_0_104,plain,
( join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))) != meet(join(X_215,X_214),join(X_214,X_213))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) != meet(join(X_214,X_213),join(X_214,X_215))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,X_213),join(X_214,X_215)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),meet(join(X_214,X_213),join(X_214,X_215))) ),[0,1,1],$fot(meet(join(X_215,X_214),join(X_214,X_213)))]]) ).
cnf(refute_0_105,plain,
( meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) != meet(join(X_214,X_213),join(X_214,X_215))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,X_213),join(X_214,X_215)) ),
inference(resolve,[$cnf( $equal(join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(X_215,X_214),join(X_214,X_213))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,X_213),join(X_214,X_215)),
inference(resolve,[$cnf( $equal(meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),meet(join(X_214,X_213),join(X_214,X_215))) )],[refute_0_8,refute_0_105]) ).
cnf(refute_0_107,plain,
meet(meet(X_13,Y),join(X_13,meet(X_13,Y))) = meet(X_13,Y),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_13,Y))),bind(Y,$fot(X_13))]]) ).
cnf(refute_0_108,plain,
join(X_13,meet(X_13,Y)) = X_13,
inference(subst,[],[absorption2:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_109,plain,
( join(X_13,meet(X_13,Y)) != X_13
| meet(meet(X_13,Y),join(X_13,meet(X_13,Y))) != meet(X_13,Y)
| meet(meet(X_13,Y),X_13) = meet(X_13,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_13,Y),join(X_13,meet(X_13,Y))),meet(X_13,Y)) ),[0,1],$fot(X_13)]]) ).
cnf(refute_0_110,plain,
( meet(meet(X_13,Y),join(X_13,meet(X_13,Y))) != meet(X_13,Y)
| meet(meet(X_13,Y),X_13) = meet(X_13,Y) ),
inference(resolve,[$cnf( $equal(join(X_13,meet(X_13,Y)),X_13) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
meet(meet(X_13,Y),X_13) = meet(X_13,Y),
inference(resolve,[$cnf( $equal(meet(meet(X_13,Y),join(X_13,meet(X_13,Y))),meet(X_13,Y)) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
meet(meet(X_13,Y),X_13) = meet(X_13,meet(Y,X_13)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_13)),bind(Z,$fot(X_13))]]) ).
cnf(refute_0_113,plain,
( meet(meet(X_13,Y),X_13) != meet(X_13,Y)
| meet(meet(X_13,Y),X_13) != meet(X_13,meet(Y,X_13))
| meet(X_13,meet(Y,X_13)) = meet(X_13,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_13,Y),X_13),meet(X_13,Y)) ),[0],$fot(meet(X_13,meet(Y,X_13)))]]) ).
cnf(refute_0_114,plain,
( meet(meet(X_13,Y),X_13) != meet(X_13,Y)
| meet(X_13,meet(Y,X_13)) = meet(X_13,Y) ),
inference(resolve,[$cnf( $equal(meet(meet(X_13,Y),X_13),meet(X_13,meet(Y,X_13))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
meet(X_13,meet(Y,X_13)) = meet(X_13,Y),
inference(resolve,[$cnf( $equal(meet(meet(X_13,Y),X_13),meet(X_13,Y)) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
meet(meet(join(Y,X_38),X_40),meet(Y,meet(join(Y,X_38),X_40))) = meet(meet(join(Y,X_38),X_40),Y),
inference(subst,[],[refute_0_115:[bind(X_13,$fot(meet(join(Y,X_38),X_40)))]]) ).
cnf(refute_0_117,plain,
meet(meet(X_22,join(X_22,Y)),X_24) = meet(X_22,meet(join(X_22,Y),X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(join(X_22,Y))),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_118,plain,
meet(X_22,join(X_22,Y)) = X_22,
inference(subst,[],[absorption1:[bind(X,$fot(X_22))]]) ).
cnf(refute_0_119,plain,
( meet(X_22,join(X_22,Y)) != X_22
| meet(meet(X_22,join(X_22,Y)),X_24) != meet(X_22,meet(join(X_22,Y),X_24))
| meet(X_22,X_24) = meet(X_22,meet(join(X_22,Y),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,join(X_22,Y)),X_24),meet(X_22,meet(join(X_22,Y),X_24))) ),[0,0],$fot(X_22)]]) ).
cnf(refute_0_120,plain,
( meet(meet(X_22,join(X_22,Y)),X_24) != meet(X_22,meet(join(X_22,Y),X_24))
| meet(X_22,X_24) = meet(X_22,meet(join(X_22,Y),X_24)) ),
inference(resolve,[$cnf( $equal(meet(X_22,join(X_22,Y)),X_22) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
meet(X_22,X_24) = meet(X_22,meet(join(X_22,Y),X_24)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,join(X_22,Y)),X_24),meet(X_22,meet(join(X_22,Y),X_24))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
meet(Y,X_40) = meet(Y,meet(join(Y,X_38),X_40)),
inference(subst,[],[refute_0_121:[bind(Y,$fot(X_38)),bind(X_22,$fot(Y)),bind(X_24,$fot(X_40))]]) ).
cnf(refute_0_123,plain,
( meet(Y,X_40) != meet(Y,meet(join(Y,X_38),X_40))
| meet(Y,meet(join(Y,X_38),X_40)) = meet(Y,X_40) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(Y,X_40))),bind(Y0,$fot(meet(Y,meet(join(Y,X_38),X_40))))]]) ).
cnf(refute_0_124,plain,
meet(Y,meet(join(Y,X_38),X_40)) = meet(Y,X_40),
inference(resolve,[$cnf( $equal(meet(Y,X_40),meet(Y,meet(join(Y,X_38),X_40))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( meet(Y,meet(join(Y,X_38),X_40)) != meet(Y,X_40)
| meet(meet(join(Y,X_38),X_40),meet(Y,meet(join(Y,X_38),X_40))) != meet(meet(join(Y,X_38),X_40),Y)
| meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) = meet(meet(join(Y,X_38),X_40),Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(Y,X_38),X_40),meet(Y,meet(join(Y,X_38),X_40))),meet(meet(join(Y,X_38),X_40),Y)) ),[0,1],$fot(meet(Y,X_40))]]) ).
cnf(refute_0_126,plain,
( meet(meet(join(Y,X_38),X_40),meet(Y,meet(join(Y,X_38),X_40))) != meet(meet(join(Y,X_38),X_40),Y)
| meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) = meet(meet(join(Y,X_38),X_40),Y) ),
inference(resolve,[$cnf( $equal(meet(Y,meet(join(Y,X_38),X_40)),meet(Y,X_40)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) = meet(meet(join(Y,X_38),X_40),Y),
inference(resolve,[$cnf( $equal(meet(meet(join(Y,X_38),X_40),meet(Y,meet(join(Y,X_38),X_40))),meet(meet(join(Y,X_38),X_40),Y)) )],[refute_0_116,refute_0_126]) ).
cnf(refute_0_128,plain,
meet(X_40,meet(join(Y,X_38),X_40)) = meet(X_40,join(Y,X_38)),
inference(subst,[],[refute_0_115:[bind(Y,$fot(join(Y,X_38))),bind(X_13,$fot(X_40))]]) ).
cnf(refute_0_129,plain,
meet(Y,meet(X_40,meet(join(Y,X_38),X_40))) = meet(Y,meet(X_40,meet(join(Y,X_38),X_40))),
introduced(tautology,[refl,[$fot(meet(Y,meet(X_40,meet(join(Y,X_38),X_40))))]]) ).
cnf(refute_0_130,plain,
( meet(Y,meet(X_40,meet(join(Y,X_38),X_40))) != meet(Y,meet(X_40,meet(join(Y,X_38),X_40)))
| meet(X_40,meet(join(Y,X_38),X_40)) != meet(X_40,join(Y,X_38))
| meet(Y,meet(X_40,meet(join(Y,X_38),X_40))) = meet(Y,meet(X_40,join(Y,X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(Y,meet(X_40,meet(join(Y,X_38),X_40))),meet(Y,meet(X_40,meet(join(Y,X_38),X_40)))) ),[1,1],$fot(meet(X_40,join(Y,X_38)))]]) ).
cnf(refute_0_131,plain,
( meet(X_40,meet(join(Y,X_38),X_40)) != meet(X_40,join(Y,X_38))
| meet(Y,meet(X_40,meet(join(Y,X_38),X_40))) = meet(Y,meet(X_40,join(Y,X_38))) ),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_40,meet(join(Y,X_38),X_40))),meet(Y,meet(X_40,meet(join(Y,X_38),X_40)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
meet(Y,meet(X_40,meet(join(Y,X_38),X_40))) = meet(Y,meet(X_40,join(Y,X_38))),
inference(resolve,[$cnf( $equal(meet(X_40,meet(join(Y,X_38),X_40)),meet(X_40,join(Y,X_38))) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
meet(meet(X_32,meet(X_33,Y)),join(Y,meet(X_32,meet(X_33,Y)))) = meet(X_32,meet(X_33,Y)),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_32,meet(X_33,Y))))]]) ).
cnf(refute_0_134,plain,
join(X_6,meet(meet(X_22,X_23),X_6)) = X_6,
inference(subst,[],[refute_0_49:[bind(X_7,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_135,plain,
meet(meet(X_22,X_23),X_6) = meet(X_22,meet(X_23,X_6)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_136,plain,
( join(X_6,meet(meet(X_22,X_23),X_6)) != X_6
| meet(meet(X_22,X_23),X_6) != meet(X_22,meet(X_23,X_6))
| join(X_6,meet(X_22,meet(X_23,X_6))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,meet(meet(X_22,X_23),X_6)),X_6) ),[0,1],$fot(meet(X_22,meet(X_23,X_6)))]]) ).
cnf(refute_0_137,plain,
( join(X_6,meet(meet(X_22,X_23),X_6)) != X_6
| join(X_6,meet(X_22,meet(X_23,X_6))) = X_6 ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_6),meet(X_22,meet(X_23,X_6))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
join(X_6,meet(X_22,meet(X_23,X_6))) = X_6,
inference(resolve,[$cnf( $equal(join(X_6,meet(meet(X_22,X_23),X_6)),X_6) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
join(Y,meet(X_32,meet(X_33,Y))) = Y,
inference(subst,[],[refute_0_138:[bind(X_22,$fot(X_32)),bind(X_23,$fot(X_33)),bind(X_6,$fot(Y))]]) ).
cnf(refute_0_140,plain,
( join(Y,meet(X_32,meet(X_33,Y))) != Y
| meet(meet(X_32,meet(X_33,Y)),join(Y,meet(X_32,meet(X_33,Y)))) != meet(X_32,meet(X_33,Y))
| meet(meet(X_32,meet(X_33,Y)),Y) = meet(X_32,meet(X_33,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_32,meet(X_33,Y)),join(Y,meet(X_32,meet(X_33,Y)))),meet(X_32,meet(X_33,Y))) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_141,plain,
( meet(meet(X_32,meet(X_33,Y)),join(Y,meet(X_32,meet(X_33,Y)))) != meet(X_32,meet(X_33,Y))
| meet(meet(X_32,meet(X_33,Y)),Y) = meet(X_32,meet(X_33,Y)) ),
inference(resolve,[$cnf( $equal(join(Y,meet(X_32,meet(X_33,Y))),Y) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
meet(meet(X_32,meet(X_33,Y)),Y) = meet(X_32,meet(X_33,Y)),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_33,Y)),join(Y,meet(X_32,meet(X_33,Y)))),meet(X_32,meet(X_33,Y))) )],[refute_0_133,refute_0_141]) ).
cnf(refute_0_143,plain,
meet(Y,meet(X_33,Y)) = meet(Y,X_33),
inference(subst,[],[refute_0_115:[bind(Y,$fot(X_33)),bind(X_13,$fot(Y))]]) ).
cnf(refute_0_144,plain,
meet(X_32,meet(Y,meet(X_33,Y))) = meet(X_32,meet(Y,meet(X_33,Y))),
introduced(tautology,[refl,[$fot(meet(X_32,meet(Y,meet(X_33,Y))))]]) ).
cnf(refute_0_145,plain,
( meet(Y,meet(X_33,Y)) != meet(Y,X_33)
| meet(X_32,meet(Y,meet(X_33,Y))) != meet(X_32,meet(Y,meet(X_33,Y)))
| meet(X_32,meet(Y,meet(X_33,Y))) = meet(X_32,meet(Y,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_32,meet(Y,meet(X_33,Y))),meet(X_32,meet(Y,meet(X_33,Y)))) ),[1,1],$fot(meet(Y,X_33))]]) ).
cnf(refute_0_146,plain,
( meet(Y,meet(X_33,Y)) != meet(Y,X_33)
| meet(X_32,meet(Y,meet(X_33,Y))) = meet(X_32,meet(Y,X_33)) ),
inference(resolve,[$cnf( $equal(meet(X_32,meet(Y,meet(X_33,Y))),meet(X_32,meet(Y,meet(X_33,Y)))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
meet(X_32,meet(Y,meet(X_33,Y))) = meet(X_32,meet(Y,X_33)),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_33,Y)),meet(Y,X_33)) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
meet(meet(X_22,X_23),X_24) = meet(X_22,meet(X_23,X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_149,plain,
meet(X_24,X_23) = meet(X_23,X_24),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_24)),bind(Y,$fot(X_23))]]) ).
cnf(refute_0_150,plain,
( meet(X_24,X_23) != meet(X_23,X_24)
| meet(X_23,X_24) = meet(X_24,X_23) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_24,X_23))),bind(Y0,$fot(meet(X_23,X_24)))]]) ).
cnf(refute_0_151,plain,
meet(X_23,X_24) = meet(X_24,X_23),
inference(resolve,[$cnf( $equal(meet(X_24,X_23),meet(X_23,X_24)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( meet(X_23,X_24) != meet(X_24,X_23)
| meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_22,X_23),X_24) = meet(X_22,meet(X_24,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_23,X_24))) ),[1,1],$fot(meet(X_24,X_23))]]) ).
cnf(refute_0_153,plain,
( meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_22,X_23),X_24) = meet(X_22,meet(X_24,X_23)) ),
inference(resolve,[$cnf( $equal(meet(X_23,X_24),meet(X_24,X_23)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
meet(meet(X_22,X_23),X_24) = meet(X_22,meet(X_24,X_23)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_23,X_24))) )],[refute_0_148,refute_0_153]) ).
cnf(refute_0_155,plain,
( meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_24,X_23))
| meet(X_22,meet(X_23,X_24)) = meet(X_22,meet(X_24,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_24,X_23))) ),[0],$fot(meet(X_22,meet(X_23,X_24)))]]) ).
cnf(refute_0_156,plain,
( meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_24,X_23))
| meet(X_22,meet(X_23,X_24)) = meet(X_22,meet(X_24,X_23)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_23,X_24))) )],[refute_0_148,refute_0_155]) ).
cnf(refute_0_157,plain,
meet(X_22,meet(X_23,X_24)) = meet(X_22,meet(X_24,X_23)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_24,X_23))) )],[refute_0_154,refute_0_156]) ).
cnf(refute_0_158,plain,
( meet(X_22,meet(X_23,X_24)) != meet(X_22,meet(X_24,X_23))
| meet(X_22,meet(X_24,X_23)) = meet(X_22,meet(X_23,X_24)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_22,meet(X_23,X_24)))),bind(Y0,$fot(meet(X_22,meet(X_24,X_23))))]]) ).
cnf(refute_0_159,plain,
meet(X_22,meet(X_24,X_23)) = meet(X_22,meet(X_23,X_24)),
inference(resolve,[$cnf( $equal(meet(X_22,meet(X_23,X_24)),meet(X_22,meet(X_24,X_23))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
meet(X_32,meet(meet(X_33,Y),Y)) = meet(X_32,meet(Y,meet(X_33,Y))),
inference(subst,[],[refute_0_159:[bind(X_22,$fot(X_32)),bind(X_23,$fot(Y)),bind(X_24,$fot(meet(X_33,Y)))]]) ).
cnf(refute_0_161,plain,
meet(meet(X_32,meet(X_33,Y)),Y) = meet(X_32,meet(meet(X_33,Y),Y)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_32)),bind(Y,$fot(meet(X_33,Y))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_162,plain,
( meet(X_32,meet(meet(X_33,Y),Y)) != meet(X_32,meet(Y,meet(X_33,Y)))
| meet(meet(X_32,meet(X_33,Y)),Y) != meet(X_32,meet(meet(X_33,Y),Y))
| meet(meet(X_32,meet(X_33,Y)),Y) = meet(X_32,meet(Y,meet(X_33,Y))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_32,meet(X_33,Y)),Y))),bind(Y0,$fot(meet(X_32,meet(meet(X_33,Y),Y)))),bind(Z0,$fot(meet(X_32,meet(Y,meet(X_33,Y)))))]]) ).
cnf(refute_0_163,plain,
( meet(X_32,meet(meet(X_33,Y),Y)) != meet(X_32,meet(Y,meet(X_33,Y)))
| meet(meet(X_32,meet(X_33,Y)),Y) = meet(X_32,meet(Y,meet(X_33,Y))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_33,Y)),Y),meet(X_32,meet(meet(X_33,Y),Y))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
meet(meet(X_32,meet(X_33,Y)),Y) = meet(X_32,meet(Y,meet(X_33,Y))),
inference(resolve,[$cnf( $equal(meet(X_32,meet(meet(X_33,Y),Y)),meet(X_32,meet(Y,meet(X_33,Y)))) )],[refute_0_160,refute_0_163]) ).
cnf(refute_0_165,plain,
( meet(X_32,meet(Y,meet(X_33,Y))) != meet(X_32,meet(Y,X_33))
| meet(meet(X_32,meet(X_33,Y)),Y) != meet(X_32,meet(Y,meet(X_33,Y)))
| meet(meet(X_32,meet(X_33,Y)),Y) = meet(X_32,meet(Y,X_33)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_32,meet(X_33,Y)),Y))),bind(Y0,$fot(meet(X_32,meet(Y,meet(X_33,Y))))),bind(Z0,$fot(meet(X_32,meet(Y,X_33))))]]) ).
cnf(refute_0_166,plain,
( meet(X_32,meet(Y,meet(X_33,Y))) != meet(X_32,meet(Y,X_33))
| meet(meet(X_32,meet(X_33,Y)),Y) = meet(X_32,meet(Y,X_33)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_33,Y)),Y),meet(X_32,meet(Y,meet(X_33,Y)))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
meet(meet(X_32,meet(X_33,Y)),Y) = meet(X_32,meet(Y,X_33)),
inference(resolve,[$cnf( $equal(meet(X_32,meet(Y,meet(X_33,Y))),meet(X_32,meet(Y,X_33))) )],[refute_0_147,refute_0_166]) ).
cnf(refute_0_168,plain,
( meet(meet(X_32,meet(X_33,Y)),Y) != meet(X_32,meet(Y,X_33))
| meet(meet(X_32,meet(X_33,Y)),Y) != meet(X_32,meet(X_33,Y))
| meet(X_32,meet(Y,X_33)) = meet(X_32,meet(X_33,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_32,meet(X_33,Y)),Y),meet(X_32,meet(X_33,Y))) ),[0],$fot(meet(X_32,meet(Y,X_33)))]]) ).
cnf(refute_0_169,plain,
( meet(meet(X_32,meet(X_33,Y)),Y) != meet(X_32,meet(X_33,Y))
| meet(X_32,meet(Y,X_33)) = meet(X_32,meet(X_33,Y)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_33,Y)),Y),meet(X_32,meet(Y,X_33))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
meet(X_32,meet(Y,X_33)) = meet(X_32,meet(X_33,Y)),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_33,Y)),Y),meet(X_32,meet(X_33,Y))) )],[refute_0_142,refute_0_169]) ).
cnf(refute_0_171,plain,
( meet(X_32,meet(Y,X_33)) != meet(X_32,meet(X_33,Y))
| meet(X_32,meet(X_33,Y)) = meet(X_32,meet(Y,X_33)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_32,meet(Y,X_33)))),bind(Y0,$fot(meet(X_32,meet(X_33,Y))))]]) ).
cnf(refute_0_172,plain,
meet(X_32,meet(X_33,Y)) = meet(X_32,meet(Y,X_33)),
inference(resolve,[$cnf( $equal(meet(X_32,meet(Y,X_33)),meet(X_32,meet(X_33,Y))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
meet(Y,meet(meet(join(Y,X_38),X_40),X_40)) = meet(Y,meet(X_40,meet(join(Y,X_38),X_40))),
inference(subst,[],[refute_0_172:[bind(Y,$fot(X_40)),bind(X_32,$fot(Y)),bind(X_33,$fot(meet(join(Y,X_38),X_40)))]]) ).
cnf(refute_0_174,plain,
meet(X_23,X_22) = meet(X_22,X_23),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_23)),bind(Y,$fot(X_22))]]) ).
cnf(refute_0_175,plain,
( meet(X_23,X_22) != meet(X_22,X_23)
| meet(X_22,X_23) = meet(X_23,X_22) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_23,X_22))),bind(Y0,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_176,plain,
meet(X_22,X_23) = meet(X_23,X_22),
inference(resolve,[$cnf( $equal(meet(X_23,X_22),meet(X_22,X_23)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
( meet(X_22,X_23) != meet(X_23,X_22)
| meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_23,X_22),X_24) = meet(X_22,meet(X_23,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_23,X_24))) ),[0,0],$fot(meet(X_23,X_22))]]) ).
cnf(refute_0_178,plain,
( meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_23,X_22),X_24) = meet(X_22,meet(X_23,X_24)) ),
inference(resolve,[$cnf( $equal(meet(X_22,X_23),meet(X_23,X_22)) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
meet(meet(X_23,X_22),X_24) = meet(X_22,meet(X_23,X_24)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_23,X_24))) )],[refute_0_148,refute_0_178]) ).
cnf(refute_0_180,plain,
meet(meet(X_23,X_22),X_24) = meet(X_23,meet(X_22,X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_23)),bind(Y,$fot(X_22)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_181,plain,
( meet(meet(X_23,X_22),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_23,X_22),X_24) != meet(X_23,meet(X_22,X_24))
| meet(X_23,meet(X_22,X_24)) = meet(X_22,meet(X_23,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_23,X_22),X_24),meet(X_22,meet(X_23,X_24))) ),[0],$fot(meet(X_23,meet(X_22,X_24)))]]) ).
cnf(refute_0_182,plain,
( meet(meet(X_23,X_22),X_24) != meet(X_22,meet(X_23,X_24))
| meet(X_23,meet(X_22,X_24)) = meet(X_22,meet(X_23,X_24)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_23,X_22),X_24),meet(X_23,meet(X_22,X_24))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
meet(X_23,meet(X_22,X_24)) = meet(X_22,meet(X_23,X_24)),
inference(resolve,[$cnf( $equal(meet(meet(X_23,X_22),X_24),meet(X_22,meet(X_23,X_24))) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
( meet(X_23,meet(X_22,X_24)) != meet(X_22,meet(X_23,X_24))
| meet(X_22,meet(X_23,X_24)) = meet(X_23,meet(X_22,X_24)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_23,meet(X_22,X_24)))),bind(Y0,$fot(meet(X_22,meet(X_23,X_24))))]]) ).
cnf(refute_0_185,plain,
meet(X_22,meet(X_23,X_24)) = meet(X_23,meet(X_22,X_24)),
inference(resolve,[$cnf( $equal(meet(X_23,meet(X_22,X_24)),meet(X_22,meet(X_23,X_24))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) = meet(Y,meet(meet(join(Y,X_38),X_40),X_40)),
inference(subst,[],[refute_0_185:[bind(X_22,$fot(meet(join(Y,X_38),X_40))),bind(X_23,$fot(Y)),bind(X_24,$fot(X_40))]]) ).
cnf(refute_0_187,plain,
( meet(Y,meet(meet(join(Y,X_38),X_40),X_40)) != meet(Y,meet(X_40,meet(join(Y,X_38),X_40)))
| meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) != meet(Y,meet(meet(join(Y,X_38),X_40),X_40))
| meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) = meet(Y,meet(X_40,meet(join(Y,X_38),X_40))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(join(Y,X_38),X_40),meet(Y,X_40)))),bind(Y0,$fot(meet(Y,meet(meet(join(Y,X_38),X_40),X_40)))),bind(Z0,$fot(meet(Y,meet(X_40,meet(join(Y,X_38),X_40)))))]]) ).
cnf(refute_0_188,plain,
( meet(Y,meet(meet(join(Y,X_38),X_40),X_40)) != meet(Y,meet(X_40,meet(join(Y,X_38),X_40)))
| meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) = meet(Y,meet(X_40,meet(join(Y,X_38),X_40))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(Y,X_38),X_40),meet(Y,X_40)),meet(Y,meet(meet(join(Y,X_38),X_40),X_40))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) = meet(Y,meet(X_40,meet(join(Y,X_38),X_40))),
inference(resolve,[$cnf( $equal(meet(Y,meet(meet(join(Y,X_38),X_40),X_40)),meet(Y,meet(X_40,meet(join(Y,X_38),X_40)))) )],[refute_0_173,refute_0_188]) ).
cnf(refute_0_190,plain,
( meet(Y,meet(X_40,meet(join(Y,X_38),X_40))) != meet(Y,meet(X_40,join(Y,X_38)))
| meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) != meet(Y,meet(X_40,meet(join(Y,X_38),X_40)))
| meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) = meet(Y,meet(X_40,join(Y,X_38))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(join(Y,X_38),X_40),meet(Y,X_40)))),bind(Y0,$fot(meet(Y,meet(X_40,meet(join(Y,X_38),X_40))))),bind(Z0,$fot(meet(Y,meet(X_40,join(Y,X_38)))))]]) ).
cnf(refute_0_191,plain,
( meet(Y,meet(X_40,meet(join(Y,X_38),X_40))) != meet(Y,meet(X_40,join(Y,X_38)))
| meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) = meet(Y,meet(X_40,join(Y,X_38))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(Y,X_38),X_40),meet(Y,X_40)),meet(Y,meet(X_40,meet(join(Y,X_38),X_40)))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) = meet(Y,meet(X_40,join(Y,X_38))),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_40,meet(join(Y,X_38),X_40))),meet(Y,meet(X_40,join(Y,X_38)))) )],[refute_0_132,refute_0_191]) ).
cnf(refute_0_193,plain,
( meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) != meet(Y,meet(X_40,join(Y,X_38)))
| meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) != meet(meet(join(Y,X_38),X_40),Y)
| meet(Y,meet(X_40,join(Y,X_38))) = meet(meet(join(Y,X_38),X_40),Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(Y,X_38),X_40),meet(Y,X_40)),meet(meet(join(Y,X_38),X_40),Y)) ),[0],$fot(meet(Y,meet(X_40,join(Y,X_38))))]]) ).
cnf(refute_0_194,plain,
( meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) != meet(meet(join(Y,X_38),X_40),Y)
| meet(Y,meet(X_40,join(Y,X_38))) = meet(meet(join(Y,X_38),X_40),Y) ),
inference(resolve,[$cnf( $equal(meet(meet(join(Y,X_38),X_40),meet(Y,X_40)),meet(Y,meet(X_40,join(Y,X_38)))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
meet(X,meet(X_22,X_23)) = meet(meet(X_22,X_23),X),
inference(subst,[],[commutativity_of_meet:[bind(Y,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_196,plain,
meet(meet(X_22,X_23),X) = meet(X_22,meet(X_23,X)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(X))]]) ).
cnf(refute_0_197,plain,
( meet(X,meet(X_22,X_23)) != meet(meet(X_22,X_23),X)
| meet(meet(X_22,X_23),X) != meet(X_22,meet(X_23,X))
| meet(X,meet(X_22,X_23)) = meet(X_22,meet(X_23,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X,meet(X_22,X_23)),meet(X_22,meet(X_23,X))) ),[0],$fot(meet(meet(X_22,X_23),X))]]) ).
cnf(refute_0_198,plain,
( meet(X,meet(X_22,X_23)) != meet(meet(X_22,X_23),X)
| meet(X,meet(X_22,X_23)) = meet(X_22,meet(X_23,X)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X),meet(X_22,meet(X_23,X))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
meet(X,meet(X_22,X_23)) = meet(X_22,meet(X_23,X)),
inference(resolve,[$cnf( $equal(meet(X,meet(X_22,X_23)),meet(meet(X_22,X_23),X)) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
( meet(X,meet(X_22,X_23)) != meet(X_22,meet(X_23,X))
| meet(X_22,meet(X_23,X)) = meet(X,meet(X_22,X_23)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X,meet(X_22,X_23)))),bind(Y0,$fot(meet(X_22,meet(X_23,X))))]]) ).
cnf(refute_0_201,plain,
meet(X_22,meet(X_23,X)) = meet(X,meet(X_22,X_23)),
inference(resolve,[$cnf( $equal(meet(X,meet(X_22,X_23)),meet(X_22,meet(X_23,X))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
meet(join(Y,X_38),meet(X_40,Y)) = meet(Y,meet(join(Y,X_38),X_40)),
inference(subst,[],[refute_0_201:[bind(X,$fot(Y)),bind(X_22,$fot(join(Y,X_38))),bind(X_23,$fot(X_40))]]) ).
cnf(refute_0_203,plain,
( meet(Y,meet(join(Y,X_38),X_40)) != meet(Y,X_40)
| meet(join(Y,X_38),meet(X_40,Y)) != meet(Y,meet(join(Y,X_38),X_40))
| meet(join(Y,X_38),meet(X_40,Y)) = meet(Y,X_40) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(Y,X_38),meet(X_40,Y)))),bind(Y0,$fot(meet(Y,meet(join(Y,X_38),X_40)))),bind(Z0,$fot(meet(Y,X_40)))]]) ).
cnf(refute_0_204,plain,
( meet(Y,meet(join(Y,X_38),X_40)) != meet(Y,X_40)
| meet(join(Y,X_38),meet(X_40,Y)) = meet(Y,X_40) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_38),meet(X_40,Y)),meet(Y,meet(join(Y,X_38),X_40))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
meet(join(Y,X_38),meet(X_40,Y)) = meet(Y,X_40),
inference(resolve,[$cnf( $equal(meet(Y,meet(join(Y,X_38),X_40)),meet(Y,X_40)) )],[refute_0_124,refute_0_204]) ).
cnf(refute_0_206,plain,
meet(meet(join(Y,X_38),X_40),Y) = meet(join(Y,X_38),meet(X_40,Y)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(join(Y,X_38))),bind(Y,$fot(X_40)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_207,plain,
( meet(join(Y,X_38),meet(X_40,Y)) != meet(Y,X_40)
| meet(meet(join(Y,X_38),X_40),Y) != meet(join(Y,X_38),meet(X_40,Y))
| meet(meet(join(Y,X_38),X_40),Y) = meet(Y,X_40) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(join(Y,X_38),X_40),Y))),bind(Y0,$fot(meet(join(Y,X_38),meet(X_40,Y)))),bind(Z0,$fot(meet(Y,X_40)))]]) ).
cnf(refute_0_208,plain,
( meet(join(Y,X_38),meet(X_40,Y)) != meet(Y,X_40)
| meet(meet(join(Y,X_38),X_40),Y) = meet(Y,X_40) ),
inference(resolve,[$cnf( $equal(meet(meet(join(Y,X_38),X_40),Y),meet(join(Y,X_38),meet(X_40,Y))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
meet(meet(join(Y,X_38),X_40),Y) = meet(Y,X_40),
inference(resolve,[$cnf( $equal(meet(join(Y,X_38),meet(X_40,Y)),meet(Y,X_40)) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
( meet(Y,meet(X_40,join(Y,X_38))) != meet(meet(join(Y,X_38),X_40),Y)
| meet(meet(join(Y,X_38),X_40),Y) != meet(Y,X_40)
| meet(Y,meet(X_40,join(Y,X_38))) = meet(Y,X_40) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(Y,meet(X_40,join(Y,X_38))),meet(Y,X_40)) ),[0],$fot(meet(meet(join(Y,X_38),X_40),Y))]]) ).
cnf(refute_0_211,plain,
( meet(Y,meet(X_40,join(Y,X_38))) != meet(meet(join(Y,X_38),X_40),Y)
| meet(Y,meet(X_40,join(Y,X_38))) = meet(Y,X_40) ),
inference(resolve,[$cnf( $equal(meet(meet(join(Y,X_38),X_40),Y),meet(Y,X_40)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( meet(meet(join(Y,X_38),X_40),meet(Y,X_40)) != meet(meet(join(Y,X_38),X_40),Y)
| meet(Y,meet(X_40,join(Y,X_38))) = meet(Y,X_40) ),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_40,join(Y,X_38))),meet(meet(join(Y,X_38),X_40),Y)) )],[refute_0_194,refute_0_211]) ).
cnf(refute_0_213,plain,
meet(Y,meet(X_40,join(Y,X_38))) = meet(Y,X_40),
inference(resolve,[$cnf( $equal(meet(meet(join(Y,X_38),X_40),meet(Y,X_40)),meet(meet(join(Y,X_38),X_40),Y)) )],[refute_0_127,refute_0_212]) ).
cnf(refute_0_214,plain,
meet(X_213,meet(X_215,join(X_213,X_25))) = meet(X_213,X_215),
inference(subst,[],[refute_0_213:[bind(Y,$fot(X_213)),bind(X_38,$fot(X_25)),bind(X_40,$fot(X_215))]]) ).
cnf(refute_0_215,plain,
join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) = join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))),
introduced(tautology,[refl,[$fot(join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))))]]) ).
cnf(refute_0_216,plain,
( join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) != join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))
| meet(X_213,meet(X_215,join(X_213,X_25))) != meet(X_213,X_215)
| join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) = join(X_214,meet(X_213,X_215)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))),join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))) ),[1,1],$fot(meet(X_213,X_215))]]) ).
cnf(refute_0_217,plain,
( meet(X_213,meet(X_215,join(X_213,X_25))) != meet(X_213,X_215)
| join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) = join(X_214,meet(X_213,X_215)) ),
inference(resolve,[$cnf( $equal(join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))),join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) = join(X_214,meet(X_213,X_215)),
inference(resolve,[$cnf( $equal(meet(X_213,meet(X_215,join(X_213,X_25))),meet(X_213,X_215)) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) = meet(join(X_37,meet(X_7,X_37)),join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(X_7,X_37))),bind(Y,$fot(X_36)),bind(Z,$fot(X_37))]]) ).
cnf(refute_0_220,plain,
join(X_37,meet(X_7,X_37)) = X_37,
inference(subst,[],[refute_0_49:[bind(X_6,$fot(X_37))]]) ).
cnf(refute_0_221,plain,
( join(X_37,meet(X_7,X_37)) != X_37
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) != meet(join(X_37,meet(X_7,X_37)),join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) = meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))),meet(join(X_37,meet(X_7,X_37)),join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))) ),[1,0],$fot(X_37)]]) ).
cnf(refute_0_222,plain,
( join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) != meet(join(X_37,meet(X_7,X_37)),join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) = meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) ),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_7,X_37)),X_37) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) = meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))),meet(join(X_37,meet(X_7,X_37)),join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
join(X_34,meet(X_32,meet(X_33,X_34))) = X_34,
inference(subst,[],[refute_0_138:[bind(X_22,$fot(X_32)),bind(X_23,$fot(X_33)),bind(X_6,$fot(X_34))]]) ).
cnf(refute_0_225,plain,
meet(X_34,X_33) = meet(X_33,X_34),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_34)),bind(Y,$fot(X_33))]]) ).
cnf(refute_0_226,plain,
( meet(X_34,X_33) != meet(X_33,X_34)
| meet(X_33,X_34) = meet(X_34,X_33) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_34,X_33))),bind(Y0,$fot(meet(X_33,X_34)))]]) ).
cnf(refute_0_227,plain,
meet(X_33,X_34) = meet(X_34,X_33),
inference(resolve,[$cnf( $equal(meet(X_34,X_33),meet(X_33,X_34)) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
( join(X_34,meet(X_32,meet(X_33,X_34))) != X_34
| meet(X_33,X_34) != meet(X_34,X_33)
| join(X_34,meet(X_32,meet(X_34,X_33))) = X_34 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,meet(X_32,meet(X_33,X_34))),X_34) ),[0,1,1],$fot(meet(X_34,X_33))]]) ).
cnf(refute_0_229,plain,
( join(X_34,meet(X_32,meet(X_33,X_34))) != X_34
| join(X_34,meet(X_32,meet(X_34,X_33))) = X_34 ),
inference(resolve,[$cnf( $equal(meet(X_33,X_34),meet(X_34,X_33)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
join(X_34,meet(X_32,meet(X_34,X_33))) = X_34,
inference(resolve,[$cnf( $equal(join(X_34,meet(X_32,meet(X_33,X_34))),X_34) )],[refute_0_224,refute_0_229]) ).
cnf(refute_0_231,plain,
join(X_37,meet(X_7,meet(X_37,X_36))) = X_37,
inference(subst,[],[refute_0_230:[bind(X_32,$fot(X_7)),bind(X_33,$fot(X_36)),bind(X_34,$fot(X_37))]]) ).
cnf(refute_0_232,plain,
meet(meet(X_7,X_37),X_36) = meet(X_7,meet(X_37,X_36)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_7)),bind(Y,$fot(X_37)),bind(Z,$fot(X_36))]]) ).
cnf(refute_0_233,plain,
join(X_37,meet(meet(X_7,X_37),X_36)) = join(X_37,meet(meet(X_7,X_37),X_36)),
introduced(tautology,[refl,[$fot(join(X_37,meet(meet(X_7,X_37),X_36)))]]) ).
cnf(refute_0_234,plain,
( join(X_37,meet(meet(X_7,X_37),X_36)) != join(X_37,meet(meet(X_7,X_37),X_36))
| meet(meet(X_7,X_37),X_36) != meet(X_7,meet(X_37,X_36))
| join(X_37,meet(meet(X_7,X_37),X_36)) = join(X_37,meet(X_7,meet(X_37,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_37,meet(meet(X_7,X_37),X_36)),join(X_37,meet(meet(X_7,X_37),X_36))) ),[1,1],$fot(meet(X_7,meet(X_37,X_36)))]]) ).
cnf(refute_0_235,plain,
( meet(meet(X_7,X_37),X_36) != meet(X_7,meet(X_37,X_36))
| join(X_37,meet(meet(X_7,X_37),X_36)) = join(X_37,meet(X_7,meet(X_37,X_36))) ),
inference(resolve,[$cnf( $equal(join(X_37,meet(meet(X_7,X_37),X_36)),join(X_37,meet(meet(X_7,X_37),X_36))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
join(X_37,meet(meet(X_7,X_37),X_36)) = join(X_37,meet(X_7,meet(X_37,X_36))),
inference(resolve,[$cnf( $equal(meet(meet(X_7,X_37),X_36),meet(X_7,meet(X_37,X_36))) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
( join(X_37,meet(X_7,meet(X_37,X_36))) != X_37
| join(X_37,meet(meet(X_7,X_37),X_36)) != join(X_37,meet(X_7,meet(X_37,X_36)))
| join(X_37,meet(meet(X_7,X_37),X_36)) = X_37 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(X_37,meet(meet(X_7,X_37),X_36)))),bind(Y0,$fot(join(X_37,meet(X_7,meet(X_37,X_36))))),bind(Z0,$fot(X_37))]]) ).
cnf(refute_0_238,plain,
( join(X_37,meet(X_7,meet(X_37,X_36))) != X_37
| join(X_37,meet(meet(X_7,X_37),X_36)) = X_37 ),
inference(resolve,[$cnf( $equal(join(X_37,meet(meet(X_7,X_37),X_36)),join(X_37,meet(X_7,meet(X_37,X_36)))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
join(X_37,meet(meet(X_7,X_37),X_36)) = X_37,
inference(resolve,[$cnf( $equal(join(X_37,meet(X_7,meet(X_37,X_36))),X_37) )],[refute_0_231,refute_0_238]) ).
cnf(refute_0_240,plain,
meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))) = meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))),
introduced(tautology,[refl,[$fot(meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))]]) ).
cnf(refute_0_241,plain,
( join(X_37,meet(meet(X_7,X_37),X_36)) != X_37
| meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))) != meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))
| meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))) = meet(X_36,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) ),[1,1],$fot(X_37)]]) ).
cnf(refute_0_242,plain,
( join(X_37,meet(meet(X_7,X_37),X_36)) != X_37
| meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))) = meet(X_36,X_37) ),
inference(resolve,[$cnf( $equal(meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))) = meet(X_36,X_37),
inference(resolve,[$cnf( $equal(join(X_37,meet(meet(X_7,X_37),X_36)),X_37) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),
introduced(tautology,[refl,[$fot(join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))))]]) ).
cnf(refute_0_245,plain,
( join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) != join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))
| meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))) != meet(X_36,X_37)
| join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))) ),[1,1],$fot(meet(X_36,X_37))]]) ).
cnf(refute_0_246,plain,
( meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))) != meet(X_36,X_37)
| join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,X_37)),
inference(resolve,[$cnf( $equal(meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))),meet(X_36,X_37)) )],[refute_0_243,refute_0_246]) ).
cnf(refute_0_248,plain,
meet(X_37,meet(X_7,X_37)) = meet(X_37,X_7),
inference(subst,[],[refute_0_115:[bind(Y,$fot(X_7)),bind(X_13,$fot(X_37))]]) ).
cnf(refute_0_249,plain,
join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),
introduced(tautology,[refl,[$fot(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))))]]) ).
cnf(refute_0_250,plain,
( join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) != join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))
| meet(X_37,meet(X_7,X_37)) != meet(X_37,X_7)
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))) ),[1,0],$fot(meet(X_37,X_7))]]) ).
cnf(refute_0_251,plain,
( meet(X_37,meet(X_7,X_37)) != meet(X_37,X_7)
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),
inference(resolve,[$cnf( $equal(meet(X_37,meet(X_7,X_37)),meet(X_37,X_7)) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
( join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) != join(meet(X_37,X_7),meet(X_36,X_37))
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) != join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,X_37)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))))),bind(Y0,$fot(join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))))),bind(Z0,$fot(join(meet(X_37,X_7),meet(X_36,X_37))))]]) ).
cnf(refute_0_254,plain,
( join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) != join(meet(X_37,X_7),meet(X_36,X_37))
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_7),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),join(meet(X_37,X_7),meet(X_36,X_37))) )],[refute_0_247,refute_0_254]) ).
cnf(refute_0_256,plain,
join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))) = meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37))),
inference(subst,[],[refute_0_41:[bind(X,$fot(X_35)),bind(Y,$fot(X_36)),bind(Z,$fot(X_37))]]) ).
cnf(refute_0_257,plain,
join(X_37,meet(X_35,X_36)) = join(meet(X_35,X_36),X_37),
inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_37)),bind(Y,$fot(meet(X_35,X_36)))]]) ).
cnf(refute_0_258,plain,
( join(X_37,meet(X_35,X_36)) != join(meet(X_35,X_36),X_37)
| join(meet(X_35,X_36),X_37) = join(X_37,meet(X_35,X_36)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_37,meet(X_35,X_36)))),bind(Y0,$fot(join(meet(X_35,X_36),X_37)))]]) ).
cnf(refute_0_259,plain,
join(meet(X_35,X_36),X_37) = join(X_37,meet(X_35,X_36)),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_35,X_36)),join(meet(X_35,X_36),X_37)) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
( join(meet(X_35,X_36),X_37) != join(X_37,meet(X_35,X_36))
| join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))) != meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))
| join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))) = meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))),meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))) ),[0,1,1],$fot(join(X_37,meet(X_35,X_36)))]]) ).
cnf(refute_0_261,plain,
( join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))) != meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))
| join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))) = meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37))) ),
inference(resolve,[$cnf( $equal(join(meet(X_35,X_36),X_37),join(X_37,meet(X_35,X_36))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))) = meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37))),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))),meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))) )],[refute_0_256,refute_0_261]) ).
cnf(refute_0_263,plain,
( join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) != meet(join(Z,X),join(Y,meet(join(X,Y),Z)))
| meet(join(Z,X),join(Y,meet(join(X,Y),Z))) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(Z,X),meet(Y,join(meet(X,Y),Z))))),bind(Y0,$fot(meet(join(Z,X),join(Y,meet(join(X,Y),Z)))))]]) ).
cnf(refute_0_264,plain,
meet(join(Z,X),join(Y,meet(join(X,Y),Z))) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Y,join(meet(X,Y),Z))),meet(join(Z,X),join(Y,meet(join(X,Y),Z)))) )],[refute_0_41,refute_0_263]) ).
cnf(refute_0_265,plain,
meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37))) = join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))),
inference(subst,[],[refute_0_264:[bind(X,$fot(X_35)),bind(Y,$fot(X_36)),bind(Z,$fot(X_37))]]) ).
cnf(refute_0_266,plain,
( join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))) != meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))
| meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37))) != join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))
| join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))) = join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) ),[0],$fot(meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37))))]]) ).
cnf(refute_0_267,plain,
( join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))) != meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))
| join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))) = join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))) ),
inference(resolve,[$cnf( $equal(meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37))),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))) = join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))),meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))) )],[refute_0_262,refute_0_267]) ).
cnf(refute_0_269,plain,
( join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))) != join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))
| join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))) = join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))))),bind(Y0,$fot(join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))))]]) ).
cnf(refute_0_270,plain,
join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))) = join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_35),meet(X_36,join(X_37,meet(X_35,X_36)))),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) = join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),
inference(subst,[],[refute_0_270:[bind(X_35,$fot(meet(X_7,X_37)))]]) ).
cnf(refute_0_272,plain,
( join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) != join(meet(X_37,X_7),meet(X_36,X_37))
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) != join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) = join(meet(X_37,X_7),meet(X_36,X_37)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))))),bind(Y0,$fot(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))))),bind(Z0,$fot(join(meet(X_37,X_7),meet(X_36,X_37))))]]) ).
cnf(refute_0_273,plain,
( join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))) != join(meet(X_37,X_7),meet(X_36,X_37))
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) = join(meet(X_37,X_7),meet(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))),join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36))))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) = join(meet(X_37,X_7),meet(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(X_37,meet(meet(X_7,X_37),X_36)))),join(meet(X_37,X_7),meet(X_36,X_37))) )],[refute_0_255,refute_0_273]) ).
cnf(refute_0_275,plain,
( join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) != join(meet(X_37,X_7),meet(X_36,X_37))
| join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) != meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))
| join(meet(X_37,X_7),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))),meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))) ),[0],$fot(join(meet(X_37,X_7),meet(X_36,X_37)))]]) ).
cnf(refute_0_276,plain,
( join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) != meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))
| join(meet(X_37,X_7),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))),join(meet(X_37,X_7),meet(X_36,X_37))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
meet(join(meet(X_7,X_37),X_36),X_37) = meet(X_37,join(meet(X_7,X_37),X_36)),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_37)),bind(Y,$fot(join(meet(X_7,X_37),X_36)))]]) ).
cnf(refute_0_278,plain,
join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)) = join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)),
introduced(tautology,[refl,[$fot(join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))]]) ).
cnf(refute_0_279,plain,
( join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)) != join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))
| meet(join(meet(X_7,X_37),X_36),X_37) != meet(X_37,join(meet(X_7,X_37),X_36))
| join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)) = join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)),join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) ),[1,1],$fot(meet(X_37,join(meet(X_7,X_37),X_36)))]]) ).
cnf(refute_0_280,plain,
( meet(join(meet(X_7,X_37),X_36),X_37) != meet(X_37,join(meet(X_7,X_37),X_36))
| join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)) = join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))) ),
inference(resolve,[$cnf( $equal(join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)),join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)) = join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))),
inference(resolve,[$cnf( $equal(meet(join(meet(X_7,X_37),X_36),X_37),meet(X_37,join(meet(X_7,X_37),X_36))) )],[refute_0_277,refute_0_280]) ).
cnf(refute_0_282,plain,
meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) = meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))),
introduced(tautology,[refl,[$fot(meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))))]]) ).
cnf(refute_0_283,plain,
( join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)) != join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))
| meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) != meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))
| meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) = meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))),meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))) ),[1,1],$fot(join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))))]]) ).
cnf(refute_0_284,plain,
( join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)) != join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))
| meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) = meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) ),
inference(resolve,[$cnf( $equal(meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))),meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) = meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))),
inference(resolve,[$cnf( $equal(join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)),join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) )],[refute_0_281,refute_0_284]) ).
cnf(refute_0_286,plain,
( join(meet(X_37,X_7),meet(X_36,X_37)) != meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))
| meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))) != meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))))
| join(meet(X_37,X_7),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_37,X_7),meet(X_36,X_37)),meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))))) ),[0],$fot(meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))))]]) ).
cnf(refute_0_287,plain,
( join(meet(X_37,X_7),meet(X_36,X_37)) != meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))
| join(meet(X_37,X_7),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) ),
inference(resolve,[$cnf( $equal(meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37))),meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
( join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))) != meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))
| join(meet(X_37,X_7),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_7),meet(X_36,X_37)),meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))) )],[refute_0_276,refute_0_287]) ).
cnf(refute_0_289,plain,
join(meet(X_37,X_7),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_7,X_37)),meet(X_36,join(meet(meet(X_7,X_37),X_36),X_37))),meet(X_37,join(X_36,meet(join(meet(X_7,X_37),X_36),X_37)))) )],[refute_0_223,refute_0_288]) ).
cnf(refute_0_290,plain,
join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) = meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(meet(X_160,join(Y,X_160)),X_158)))),
inference(subst,[],[refute_0_289:[bind(X_36,$fot(X_158)),bind(X_37,$fot(join(Y,X_160))),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_291,plain,
meet(X_160,join(Y,X_160)) = X_160,
inference(subst,[],[refute_0_2:[bind(X,$fot(X_160))]]) ).
cnf(refute_0_292,plain,
( join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) != meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(meet(X_160,join(Y,X_160)),X_158))))
| meet(X_160,join(Y,X_160)) != X_160
| join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) = meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))),meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(meet(X_160,join(Y,X_160)),X_158))))) ),[1,1,1,1,0],$fot(X_160)]]) ).
cnf(refute_0_293,plain,
( join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) != meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(meet(X_160,join(Y,X_160)),X_158))))
| join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) = meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) ),
inference(resolve,[$cnf( $equal(meet(X_160,join(Y,X_160)),X_160) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) = meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))),
inference(resolve,[$cnf( $equal(join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))),meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(meet(X_160,join(Y,X_160)),X_158))))) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))) = join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))),
introduced(tautology,[refl,[$fot(join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))))]]) ).
cnf(refute_0_296,plain,
( join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))) != join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160)))
| meet(X_160,join(Y,X_160)) != X_160
| join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))) = join(X_160,meet(X_158,join(Y,X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))),join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160)))) ),[1,0],$fot(X_160)]]) ).
cnf(refute_0_297,plain,
( meet(X_160,join(Y,X_160)) != X_160
| join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))) = join(X_160,meet(X_158,join(Y,X_160))) ),
inference(resolve,[$cnf( $equal(join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))),join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160)))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))) = join(X_160,meet(X_158,join(Y,X_160))),
inference(resolve,[$cnf( $equal(meet(X_160,join(Y,X_160)),X_160) )],[refute_0_291,refute_0_297]) ).
cnf(refute_0_299,plain,
join(meet(X_159,X_160),meet(X_158,X_159)) = meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158)))),
inference(subst,[],[refute_0_289:[bind(X_36,$fot(X_158)),bind(X_37,$fot(X_159)),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_300,plain,
meet(X_160,X_159) = meet(X_159,X_160),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_160)),bind(Y,$fot(X_159))]]) ).
cnf(refute_0_301,plain,
( meet(X_160,X_159) != meet(X_159,X_160)
| meet(X_159,X_160) = meet(X_160,X_159) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_160,X_159))),bind(Y0,$fot(meet(X_159,X_160)))]]) ).
cnf(refute_0_302,plain,
meet(X_159,X_160) = meet(X_160,X_159),
inference(resolve,[$cnf( $equal(meet(X_160,X_159),meet(X_159,X_160)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
( join(meet(X_159,X_160),meet(X_158,X_159)) != meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158))))
| meet(X_159,X_160) != meet(X_160,X_159)
| join(meet(X_160,X_159),meet(X_158,X_159)) = meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_159,X_160),meet(X_158,X_159)),meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158))))) ),[0,0],$fot(meet(X_160,X_159))]]) ).
cnf(refute_0_304,plain,
( join(meet(X_159,X_160),meet(X_158,X_159)) != meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158))))
| join(meet(X_160,X_159),meet(X_158,X_159)) = meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158)))) ),
inference(resolve,[$cnf( $equal(meet(X_159,X_160),meet(X_160,X_159)) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
join(meet(X_160,X_159),meet(X_158,X_159)) = meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158)))),
inference(resolve,[$cnf( $equal(join(meet(X_159,X_160),meet(X_158,X_159)),meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158))))) )],[refute_0_299,refute_0_304]) ).
cnf(refute_0_306,plain,
( join(meet(X_37,X_7),meet(X_36,X_37)) != meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))))
| meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,X_37)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_37,X_7),meet(X_36,X_37)))),bind(Y0,$fot(meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))))))]]) ).
cnf(refute_0_307,plain,
meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) = join(meet(X_37,X_7),meet(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_7),meet(X_36,X_37)),meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))))) )],[refute_0_289,refute_0_306]) ).
cnf(refute_0_308,plain,
meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158)))) = join(meet(X_159,X_160),meet(X_158,X_159)),
inference(subst,[],[refute_0_307:[bind(X_36,$fot(X_158)),bind(X_37,$fot(X_159)),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_309,plain,
( join(meet(X_160,X_159),meet(X_158,X_159)) != meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158))))
| meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158)))) != join(meet(X_159,X_160),meet(X_158,X_159))
| join(meet(X_160,X_159),meet(X_158,X_159)) = join(meet(X_159,X_160),meet(X_158,X_159)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_160,X_159),meet(X_158,X_159)),join(meet(X_159,X_160),meet(X_158,X_159))) ),[0],$fot(meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158)))))]]) ).
cnf(refute_0_310,plain,
( join(meet(X_160,X_159),meet(X_158,X_159)) != meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158))))
| join(meet(X_160,X_159),meet(X_158,X_159)) = join(meet(X_159,X_160),meet(X_158,X_159)) ),
inference(resolve,[$cnf( $equal(meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158)))),join(meet(X_159,X_160),meet(X_158,X_159))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
join(meet(X_160,X_159),meet(X_158,X_159)) = join(meet(X_159,X_160),meet(X_158,X_159)),
inference(resolve,[$cnf( $equal(join(meet(X_160,X_159),meet(X_158,X_159)),meet(X_159,join(X_158,meet(X_159,join(meet(X_160,X_159),X_158))))) )],[refute_0_305,refute_0_310]) ).
cnf(refute_0_312,plain,
( join(meet(X_160,X_159),meet(X_158,X_159)) != join(meet(X_159,X_160),meet(X_158,X_159))
| join(meet(X_159,X_160),meet(X_158,X_159)) = join(meet(X_160,X_159),meet(X_158,X_159)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_160,X_159),meet(X_158,X_159)))),bind(Y0,$fot(join(meet(X_159,X_160),meet(X_158,X_159))))]]) ).
cnf(refute_0_313,plain,
join(meet(X_159,X_160),meet(X_158,X_159)) = join(meet(X_160,X_159),meet(X_158,X_159)),
inference(resolve,[$cnf( $equal(join(meet(X_160,X_159),meet(X_158,X_159)),join(meet(X_159,X_160),meet(X_158,X_159))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) = join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))),
inference(subst,[],[refute_0_313:[bind(X_159,$fot(join(Y,X_160)))]]) ).
cnf(refute_0_315,plain,
( join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))) != join(X_160,meet(X_158,join(Y,X_160)))
| join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) != join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160)))
| join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) = join(X_160,meet(X_158,join(Y,X_160))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))))),bind(Y0,$fot(join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))))),bind(Z0,$fot(join(X_160,meet(X_158,join(Y,X_160)))))]]) ).
cnf(refute_0_316,plain,
( join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))) != join(X_160,meet(X_158,join(Y,X_160)))
| join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) = join(X_160,meet(X_158,join(Y,X_160))) ),
inference(resolve,[$cnf( $equal(join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))),join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160)))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) = join(X_160,meet(X_158,join(Y,X_160))),
inference(resolve,[$cnf( $equal(join(meet(X_160,join(Y,X_160)),meet(X_158,join(Y,X_160))),join(X_160,meet(X_158,join(Y,X_160)))) )],[refute_0_298,refute_0_316]) ).
cnf(refute_0_318,plain,
( join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) != join(X_160,meet(X_158,join(Y,X_160)))
| join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) != meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))
| join(X_160,meet(X_158,join(Y,X_160))) = meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))),meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))) ),[0],$fot(join(X_160,meet(X_158,join(Y,X_160))))]]) ).
cnf(refute_0_319,plain,
( join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))) != meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))
| join(X_160,meet(X_158,join(Y,X_160))) = meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))),join(X_160,meet(X_158,join(Y,X_160)))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
join(X_160,meet(X_158,join(Y,X_160))) = meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))),
inference(resolve,[$cnf( $equal(join(meet(join(Y,X_160),X_160),meet(X_158,join(Y,X_160))),meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))) )],[refute_0_294,refute_0_319]) ).
cnf(refute_0_321,plain,
join(join(X_25,X_26),meet(X_7,join(X_25,X_26))) = join(X_25,X_26),
inference(subst,[],[refute_0_49:[bind(X_6,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_322,plain,
join(join(X_25,X_26),meet(X_7,join(X_25,X_26))) = join(X_25,join(X_26,meet(X_7,join(X_25,X_26)))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_25)),bind(Y,$fot(X_26)),bind(Z,$fot(meet(X_7,join(X_25,X_26))))]]) ).
cnf(refute_0_323,plain,
( join(join(X_25,X_26),meet(X_7,join(X_25,X_26))) != join(X_25,X_26)
| join(join(X_25,X_26),meet(X_7,join(X_25,X_26))) != join(X_25,join(X_26,meet(X_7,join(X_25,X_26))))
| join(X_25,join(X_26,meet(X_7,join(X_25,X_26)))) = join(X_25,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,X_26),meet(X_7,join(X_25,X_26))),join(X_25,X_26)) ),[0],$fot(join(X_25,join(X_26,meet(X_7,join(X_25,X_26)))))]]) ).
cnf(refute_0_324,plain,
( join(join(X_25,X_26),meet(X_7,join(X_25,X_26))) != join(X_25,X_26)
| join(X_25,join(X_26,meet(X_7,join(X_25,X_26)))) = join(X_25,X_26) ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),meet(X_7,join(X_25,X_26))),join(X_25,join(X_26,meet(X_7,join(X_25,X_26))))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
join(X_25,join(X_26,meet(X_7,join(X_25,X_26)))) = join(X_25,X_26),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),meet(X_7,join(X_25,X_26))),join(X_25,X_26)) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
join(X_71,join(meet(join(X,X_71),Z),meet(join(Z,X),join(X_71,meet(join(X,X_71),Z))))) = join(X_71,meet(join(X,X_71),Z)),
inference(subst,[],[refute_0_325:[bind(X_25,$fot(X_71)),bind(X_26,$fot(meet(join(X,X_71),Z))),bind(X_7,$fot(join(Z,X)))]]) ).
cnf(refute_0_327,plain,
join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))) = meet(join(Z,X),join(X_71,meet(join(X,X_71),Z))),
inference(subst,[],[refute_0_41:[bind(Y,$fot(X_71))]]) ).
cnf(refute_0_328,plain,
( join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))) != meet(join(Z,X),join(X_71,meet(join(X,X_71),Z)))
| meet(join(Z,X),join(X_71,meet(join(X,X_71),Z))) = join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))),bind(Y0,$fot(meet(join(Z,X),join(X_71,meet(join(X,X_71),Z)))))]]) ).
cnf(refute_0_329,plain,
meet(join(Z,X),join(X_71,meet(join(X,X_71),Z))) = join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))),meet(join(Z,X),join(X_71,meet(join(X,X_71),Z)))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
( join(X_71,join(meet(join(X,X_71),Z),meet(join(Z,X),join(X_71,meet(join(X,X_71),Z))))) != join(X_71,meet(join(X,X_71),Z))
| meet(join(Z,X),join(X_71,meet(join(X,X_71),Z))) != join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z)))
| join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) = join(X_71,meet(join(X,X_71),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_71,join(meet(join(X,X_71),Z),meet(join(Z,X),join(X_71,meet(join(X,X_71),Z))))),join(X_71,meet(join(X,X_71),Z))) ),[0,1,1],$fot(join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))]]) ).
cnf(refute_0_331,plain,
( join(X_71,join(meet(join(X,X_71),Z),meet(join(Z,X),join(X_71,meet(join(X,X_71),Z))))) != join(X_71,meet(join(X,X_71),Z))
| join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) = join(X_71,meet(join(X,X_71),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(Z,X),join(X_71,meet(join(X,X_71),Z))),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z)))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) = join(X_71,meet(join(X,X_71),Z)),
inference(resolve,[$cnf( $equal(join(X_71,join(meet(join(X,X_71),Z),meet(join(Z,X),join(X_71,meet(join(X,X_71),Z))))),join(X_71,meet(join(X,X_71),Z))) )],[refute_0_326,refute_0_331]) ).
cnf(refute_0_333,plain,
join(join(X_25,meet(X_25,Y)),X_27) = join(X_25,join(meet(X_25,Y),X_27)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_25)),bind(Y,$fot(meet(X_25,Y))),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_334,plain,
join(X_25,meet(X_25,Y)) = X_25,
inference(subst,[],[absorption2:[bind(X,$fot(X_25))]]) ).
cnf(refute_0_335,plain,
( join(X_25,meet(X_25,Y)) != X_25
| join(join(X_25,meet(X_25,Y)),X_27) != join(X_25,join(meet(X_25,Y),X_27))
| join(X_25,X_27) = join(X_25,join(meet(X_25,Y),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,meet(X_25,Y)),X_27),join(X_25,join(meet(X_25,Y),X_27))) ),[0,0],$fot(X_25)]]) ).
cnf(refute_0_336,plain,
( join(join(X_25,meet(X_25,Y)),X_27) != join(X_25,join(meet(X_25,Y),X_27))
| join(X_25,X_27) = join(X_25,join(meet(X_25,Y),X_27)) ),
inference(resolve,[$cnf( $equal(join(X_25,meet(X_25,Y)),X_25) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
join(X_25,X_27) = join(X_25,join(meet(X_25,Y),X_27)),
inference(resolve,[$cnf( $equal(join(join(X_25,meet(X_25,Y)),X_27),join(X_25,join(meet(X_25,Y),X_27))) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
join(X_60,join(X_25,X_26)) = join(X_60,join(meet(X_60,X_59),join(X_25,X_26))),
inference(subst,[],[refute_0_337:[bind(Y,$fot(X_59)),bind(X_25,$fot(X_60)),bind(X_27,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_339,plain,
join(X,join(X_25,X_26)) = join(join(X_25,X_26),X),
inference(subst,[],[commutativity_of_join:[bind(Y,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_340,plain,
( join(X,join(X_25,X_26)) != join(join(X_25,X_26),X)
| join(join(X_25,X_26),X) != join(X_25,join(X_26,X))
| join(X,join(X_25,X_26)) = join(X_25,join(X_26,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X,join(X_25,X_26)),join(X_25,join(X_26,X))) ),[0],$fot(join(join(X_25,X_26),X))]]) ).
cnf(refute_0_341,plain,
( join(X,join(X_25,X_26)) != join(join(X_25,X_26),X)
| join(X,join(X_25,X_26)) = join(X_25,join(X_26,X)) ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),X),join(X_25,join(X_26,X))) )],[refute_0_4,refute_0_340]) ).
cnf(refute_0_342,plain,
join(X,join(X_25,X_26)) = join(X_25,join(X_26,X)),
inference(resolve,[$cnf( $equal(join(X,join(X_25,X_26)),join(join(X_25,X_26),X)) )],[refute_0_339,refute_0_341]) ).
cnf(refute_0_343,plain,
join(meet(X_60,X_59),join(X_25,X_26)) = join(X_25,join(X_26,meet(X_60,X_59))),
inference(subst,[],[refute_0_342:[bind(X,$fot(meet(X_60,X_59)))]]) ).
cnf(refute_0_344,plain,
( join(X_60,join(X_25,X_26)) != join(X_60,join(meet(X_60,X_59),join(X_25,X_26)))
| join(meet(X_60,X_59),join(X_25,X_26)) != join(X_25,join(X_26,meet(X_60,X_59)))
| join(X_60,join(X_25,X_26)) = join(X_60,join(X_25,join(X_26,meet(X_60,X_59)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_60,join(X_25,X_26)),join(X_60,join(meet(X_60,X_59),join(X_25,X_26)))) ),[1,1],$fot(join(X_25,join(X_26,meet(X_60,X_59))))]]) ).
cnf(refute_0_345,plain,
( join(X_60,join(X_25,X_26)) != join(X_60,join(meet(X_60,X_59),join(X_25,X_26)))
| join(X_60,join(X_25,X_26)) = join(X_60,join(X_25,join(X_26,meet(X_60,X_59)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_60,X_59),join(X_25,X_26)),join(X_25,join(X_26,meet(X_60,X_59)))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
join(X_60,join(X_25,X_26)) = join(X_60,join(X_25,join(X_26,meet(X_60,X_59)))),
inference(resolve,[$cnf( $equal(join(X_60,join(X_25,X_26)),join(X_60,join(meet(X_60,X_59),join(X_25,X_26)))) )],[refute_0_338,refute_0_345]) ).
cnf(refute_0_347,plain,
( join(X_60,join(X_25,X_26)) != join(X_60,join(X_25,join(X_26,meet(X_60,X_59))))
| join(X_60,join(X_25,join(X_26,meet(X_60,X_59)))) = join(X_60,join(X_25,X_26)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_60,join(X_25,X_26)))),bind(Y0,$fot(join(X_60,join(X_25,join(X_26,meet(X_60,X_59))))))]]) ).
cnf(refute_0_348,plain,
join(X_60,join(X_25,join(X_26,meet(X_60,X_59)))) = join(X_60,join(X_25,X_26)),
inference(resolve,[$cnf( $equal(join(X_60,join(X_25,X_26)),join(X_60,join(X_25,join(X_26,meet(X_60,X_59))))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
join(X_71,join(meet(Z,X),join(meet(join(X,X_71),Z),meet(X_71,join(meet(X,X_71),Z))))) = join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))),
inference(subst,[],[refute_0_348:[bind(X_25,$fot(meet(Z,X))),bind(X_26,$fot(meet(join(X,X_71),Z))),bind(X_59,$fot(join(meet(X,X_71),Z))),bind(X_60,$fot(X_71))]]) ).
cnf(refute_0_350,plain,
meet(join(X_14,Y),join(Y,join(X_14,Y))) = join(X_14,Y),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_14,Y)))]]) ).
cnf(refute_0_351,plain,
join(Y,join(X_14,Y)) = join(Y,X_14),
inference(subst,[],[refute_0_58:[bind(Y,$fot(X_14)),bind(X_9,$fot(Y))]]) ).
cnf(refute_0_352,plain,
( join(Y,join(X_14,Y)) != join(Y,X_14)
| meet(join(X_14,Y),join(Y,join(X_14,Y))) != join(X_14,Y)
| meet(join(X_14,Y),join(Y,X_14)) = join(X_14,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_14,Y),join(Y,join(X_14,Y))),join(X_14,Y)) ),[0,1],$fot(join(Y,X_14))]]) ).
cnf(refute_0_353,plain,
( meet(join(X_14,Y),join(Y,join(X_14,Y))) != join(X_14,Y)
| meet(join(X_14,Y),join(Y,X_14)) = join(X_14,Y) ),
inference(resolve,[$cnf( $equal(join(Y,join(X_14,Y)),join(Y,X_14)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
meet(join(X_14,Y),join(Y,X_14)) = join(X_14,Y),
inference(resolve,[$cnf( $equal(meet(join(X_14,Y),join(Y,join(X_14,Y))),join(X_14,Y)) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
meet(join(join(X,Y),X_28),join(X_28,join(X,Y))) = join(join(X,Y),X_28),
inference(subst,[],[refute_0_354:[bind(Y,$fot(X_28)),bind(X_14,$fot(join(X,Y)))]]) ).
cnf(refute_0_356,plain,
join(join(X,Y),X_28) = join(X,join(Y,X_28)),
inference(subst,[],[associativity_of_join:[bind(Z,$fot(X_28))]]) ).
cnf(refute_0_357,plain,
( join(join(X,Y),X_28) != join(X,join(Y,X_28))
| meet(join(join(X,Y),X_28),join(X_28,join(X,Y))) != join(join(X,Y),X_28)
| meet(join(X,join(Y,X_28)),join(X_28,join(X,Y))) = join(join(X,Y),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X,Y),X_28),join(X_28,join(X,Y))),join(join(X,Y),X_28)) ),[0,0],$fot(join(X,join(Y,X_28)))]]) ).
cnf(refute_0_358,plain,
( meet(join(join(X,Y),X_28),join(X_28,join(X,Y))) != join(join(X,Y),X_28)
| meet(join(X,join(Y,X_28)),join(X_28,join(X,Y))) = join(join(X,Y),X_28) ),
inference(resolve,[$cnf( $equal(join(join(X,Y),X_28),join(X,join(Y,X_28))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
meet(join(X,join(Y,X_28)),join(X_28,join(X,Y))) = join(join(X,Y),X_28),
inference(resolve,[$cnf( $equal(meet(join(join(X,Y),X_28),join(X_28,join(X,Y))),join(join(X,Y),X_28)) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
( join(join(X,Y),X_28) != join(X,join(Y,X_28))
| meet(join(X,join(Y,X_28)),join(X_28,join(X,Y))) != join(join(X,Y),X_28)
| meet(join(X,join(Y,X_28)),join(X_28,join(X,Y))) = join(X,join(Y,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X,join(Y,X_28)),join(X_28,join(X,Y))),join(join(X,Y),X_28)) ),[1],$fot(join(X,join(Y,X_28)))]]) ).
cnf(refute_0_361,plain,
( meet(join(X,join(Y,X_28)),join(X_28,join(X,Y))) != join(join(X,Y),X_28)
| meet(join(X,join(Y,X_28)),join(X_28,join(X,Y))) = join(X,join(Y,X_28)) ),
inference(resolve,[$cnf( $equal(join(join(X,Y),X_28),join(X,join(Y,X_28))) )],[refute_0_356,refute_0_360]) ).
cnf(refute_0_362,plain,
meet(join(X,join(Y,X_28)),join(X_28,join(X,Y))) = join(X,join(Y,X_28)),
inference(resolve,[$cnf( $equal(meet(join(X,join(Y,X_28)),join(X_28,join(X,Y))),join(join(X,Y),X_28)) )],[refute_0_359,refute_0_361]) ).
cnf(refute_0_363,plain,
meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))) = join(X_65,join(X_66,join(X_26,X_27))),
inference(subst,[],[refute_0_362:[bind(X,$fot(X_65)),bind(Y,$fot(X_66)),bind(X_28,$fot(join(X_26,X_27)))]]) ).
cnf(refute_0_364,plain,
join(join(X_25,X_26),X_27) = join(X_25,join(X_26,X_27)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_25)),bind(Y,$fot(X_26)),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_365,plain,
join(X_26,X_25) = join(X_25,X_26),
inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_26)),bind(Y,$fot(X_25))]]) ).
cnf(refute_0_366,plain,
( join(X_26,X_25) != join(X_25,X_26)
| join(X_25,X_26) = join(X_26,X_25) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_26,X_25))),bind(Y0,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_367,plain,
join(X_25,X_26) = join(X_26,X_25),
inference(resolve,[$cnf( $equal(join(X_26,X_25),join(X_25,X_26)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
( join(X_25,X_26) != join(X_26,X_25)
| join(join(X_25,X_26),X_27) != join(X_25,join(X_26,X_27))
| join(join(X_26,X_25),X_27) = join(X_25,join(X_26,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,X_26),X_27),join(X_25,join(X_26,X_27))) ),[0,0],$fot(join(X_26,X_25))]]) ).
cnf(refute_0_369,plain,
( join(join(X_25,X_26),X_27) != join(X_25,join(X_26,X_27))
| join(join(X_26,X_25),X_27) = join(X_25,join(X_26,X_27)) ),
inference(resolve,[$cnf( $equal(join(X_25,X_26),join(X_26,X_25)) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
join(join(X_26,X_25),X_27) = join(X_25,join(X_26,X_27)),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),X_27),join(X_25,join(X_26,X_27))) )],[refute_0_364,refute_0_369]) ).
cnf(refute_0_371,plain,
join(join(X_26,X_25),X_27) = join(X_26,join(X_25,X_27)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_26)),bind(Y,$fot(X_25)),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_372,plain,
( join(join(X_26,X_25),X_27) != join(X_25,join(X_26,X_27))
| join(join(X_26,X_25),X_27) != join(X_26,join(X_25,X_27))
| join(X_26,join(X_25,X_27)) = join(X_25,join(X_26,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_26,X_25),X_27),join(X_25,join(X_26,X_27))) ),[0],$fot(join(X_26,join(X_25,X_27)))]]) ).
cnf(refute_0_373,plain,
( join(join(X_26,X_25),X_27) != join(X_25,join(X_26,X_27))
| join(X_26,join(X_25,X_27)) = join(X_25,join(X_26,X_27)) ),
inference(resolve,[$cnf( $equal(join(join(X_26,X_25),X_27),join(X_26,join(X_25,X_27))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
join(X_26,join(X_25,X_27)) = join(X_25,join(X_26,X_27)),
inference(resolve,[$cnf( $equal(join(join(X_26,X_25),X_27),join(X_25,join(X_26,X_27))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
join(X_26,join(X_66,X_27)) = join(X_66,join(X_26,X_27)),
inference(subst,[],[refute_0_374:[bind(X_25,$fot(X_66))]]) ).
cnf(refute_0_376,plain,
( join(X_26,join(X_66,X_27)) != join(X_66,join(X_26,X_27))
| join(X_66,join(X_26,X_27)) = join(X_26,join(X_66,X_27)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_26,join(X_66,X_27)))),bind(Y0,$fot(join(X_66,join(X_26,X_27))))]]) ).
cnf(refute_0_377,plain,
join(X_66,join(X_26,X_27)) = join(X_26,join(X_66,X_27)),
inference(resolve,[$cnf( $equal(join(X_26,join(X_66,X_27)),join(X_66,join(X_26,X_27))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
( join(X_66,join(X_26,X_27)) != join(X_26,join(X_66,X_27))
| meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))) != join(X_65,join(X_66,join(X_26,X_27)))
| meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))) = join(X_65,join(X_26,join(X_66,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))),join(X_65,join(X_66,join(X_26,X_27)))) ),[1,1],$fot(join(X_26,join(X_66,X_27)))]]) ).
cnf(refute_0_379,plain,
( meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))) != join(X_65,join(X_66,join(X_26,X_27)))
| meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))) = join(X_65,join(X_26,join(X_66,X_27))) ),
inference(resolve,[$cnf( $equal(join(X_66,join(X_26,X_27)),join(X_26,join(X_66,X_27))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))) = join(X_65,join(X_26,join(X_66,X_27))),
inference(resolve,[$cnf( $equal(meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))),join(X_65,join(X_66,join(X_26,X_27)))) )],[refute_0_363,refute_0_379]) ).
cnf(refute_0_381,plain,
( meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))) != join(X_65,join(X_26,join(X_66,X_27)))
| meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))) != join(X_65,join(X_66,join(X_26,X_27)))
| join(X_65,join(X_66,join(X_26,X_27))) = join(X_65,join(X_26,join(X_66,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))),join(X_65,join(X_26,join(X_66,X_27)))) ),[0],$fot(join(X_65,join(X_66,join(X_26,X_27))))]]) ).
cnf(refute_0_382,plain,
( meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))) != join(X_65,join(X_26,join(X_66,X_27)))
| join(X_65,join(X_66,join(X_26,X_27))) = join(X_65,join(X_26,join(X_66,X_27))) ),
inference(resolve,[$cnf( $equal(meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))),join(X_65,join(X_66,join(X_26,X_27)))) )],[refute_0_363,refute_0_381]) ).
cnf(refute_0_383,plain,
join(X_65,join(X_66,join(X_26,X_27))) = join(X_65,join(X_26,join(X_66,X_27))),
inference(resolve,[$cnf( $equal(meet(join(X_65,join(X_66,join(X_26,X_27))),join(join(X_26,X_27),join(X_65,X_66))),join(X_65,join(X_26,join(X_66,X_27)))) )],[refute_0_380,refute_0_382]) ).
cnf(refute_0_384,plain,
( join(X_65,join(X_66,join(X_26,X_27))) != join(X_65,join(X_26,join(X_66,X_27)))
| join(X_65,join(X_26,join(X_66,X_27))) = join(X_65,join(X_66,join(X_26,X_27))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_65,join(X_66,join(X_26,X_27))))),bind(Y0,$fot(join(X_65,join(X_26,join(X_66,X_27)))))]]) ).
cnf(refute_0_385,plain,
join(X_65,join(X_26,join(X_66,X_27))) = join(X_65,join(X_66,join(X_26,X_27))),
inference(resolve,[$cnf( $equal(join(X_65,join(X_66,join(X_26,X_27))),join(X_65,join(X_26,join(X_66,X_27)))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) = join(X_71,join(meet(Z,X),join(meet(join(X,X_71),Z),meet(X_71,join(meet(X,X_71),Z))))),
inference(subst,[],[refute_0_385:[bind(X_26,$fot(meet(join(X,X_71),Z))),bind(X_27,$fot(meet(X_71,join(meet(X,X_71),Z)))),bind(X_65,$fot(X_71)),bind(X_66,$fot(meet(Z,X)))]]) ).
cnf(refute_0_387,plain,
( join(X_71,join(meet(Z,X),join(meet(join(X,X_71),Z),meet(X_71,join(meet(X,X_71),Z))))) != join(X_71,join(meet(Z,X),meet(join(X,X_71),Z)))
| join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) != join(X_71,join(meet(Z,X),join(meet(join(X,X_71),Z),meet(X_71,join(meet(X,X_71),Z)))))
| join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) = join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))))),bind(Y0,$fot(join(X_71,join(meet(Z,X),join(meet(join(X,X_71),Z),meet(X_71,join(meet(X,X_71),Z))))))),bind(Z0,$fot(join(X_71,join(meet(Z,X),meet(join(X,X_71),Z)))))]]) ).
cnf(refute_0_388,plain,
( join(X_71,join(meet(Z,X),join(meet(join(X,X_71),Z),meet(X_71,join(meet(X,X_71),Z))))) != join(X_71,join(meet(Z,X),meet(join(X,X_71),Z)))
| join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) = join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) ),
inference(resolve,[$cnf( $equal(join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))),join(X_71,join(meet(Z,X),join(meet(join(X,X_71),Z),meet(X_71,join(meet(X,X_71),Z)))))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) = join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))),
inference(resolve,[$cnf( $equal(join(X_71,join(meet(Z,X),join(meet(join(X,X_71),Z),meet(X_71,join(meet(X,X_71),Z))))),join(X_71,join(meet(Z,X),meet(join(X,X_71),Z)))) )],[refute_0_349,refute_0_388]) ).
cnf(refute_0_390,plain,
( join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) != join(X_71,join(meet(Z,X),meet(join(X,X_71),Z)))
| join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) != join(X_71,meet(join(X,X_71),Z))
| join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) = join(X_71,meet(join(X,X_71),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))),join(X_71,meet(join(X,X_71),Z))) ),[0],$fot(join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))))]]) ).
cnf(refute_0_391,plain,
( join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))) != join(X_71,meet(join(X,X_71),Z))
| join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) = join(X_71,meet(join(X,X_71),Z)) ),
inference(resolve,[$cnf( $equal(join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))),join(X_71,join(meet(Z,X),meet(join(X,X_71),Z)))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) = join(X_71,meet(join(X,X_71),Z)),
inference(resolve,[$cnf( $equal(join(X_71,join(meet(join(X,X_71),Z),join(meet(Z,X),meet(X_71,join(meet(X,X_71),Z))))),join(X_71,meet(join(X,X_71),Z))) )],[refute_0_332,refute_0_391]) ).
cnf(refute_0_393,plain,
join(X,join(X,X_71)) = join(X,X_71),
inference(subst,[],[refute_0_65:[bind(X_14,$fot(X_71)),bind(X_15,$fot(X))]]) ).
cnf(refute_0_394,plain,
meet(Z,join(X,join(X,X_71))) = meet(Z,join(X,join(X,X_71))),
introduced(tautology,[refl,[$fot(meet(Z,join(X,join(X,X_71))))]]) ).
cnf(refute_0_395,plain,
( join(X,join(X,X_71)) != join(X,X_71)
| meet(Z,join(X,join(X,X_71))) != meet(Z,join(X,join(X,X_71)))
| meet(Z,join(X,join(X,X_71))) = meet(Z,join(X,X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(Z,join(X,join(X,X_71))),meet(Z,join(X,join(X,X_71)))) ),[1,1],$fot(join(X,X_71))]]) ).
cnf(refute_0_396,plain,
( join(X,join(X,X_71)) != join(X,X_71)
| meet(Z,join(X,join(X,X_71))) = meet(Z,join(X,X_71)) ),
inference(resolve,[$cnf( $equal(meet(Z,join(X,join(X,X_71))),meet(Z,join(X,join(X,X_71)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
meet(Z,join(X,join(X,X_71))) = meet(Z,join(X,X_71)),
inference(resolve,[$cnf( $equal(join(X,join(X,X_71)),join(X,X_71)) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = meet(X_39,meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39)))),
inference(subst,[],[refute_0_121:[bind(Y,$fot(X_38)),bind(X_22,$fot(X_39)),bind(X_24,$fot(join(Y,meet(join(X_38,Y),X_39))))]]) ).
cnf(refute_0_399,plain,
join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39))) = meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39))),
inference(subst,[],[refute_0_41:[bind(X,$fot(X_38)),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_400,plain,
( join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39))) != meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39)))
| meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39))) = join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39))))),bind(Y0,$fot(meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39)))))]]) ).
cnf(refute_0_401,plain,
meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39))) = join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39))),
inference(resolve,[$cnf( $equal(join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39))),meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39)))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
( meet(X_39,join(Y,meet(join(X_38,Y),X_39))) != meet(X_39,meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39))))
| meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39))) != join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))
| meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(Y,meet(join(X_38,Y),X_39))),meet(X_39,meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39))))) ),[1,1],$fot(join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39))))]]) ).
cnf(refute_0_403,plain,
( meet(X_39,join(Y,meet(join(X_38,Y),X_39))) != meet(X_39,meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39))))
| meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39))),join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))),
inference(resolve,[$cnf( $equal(meet(X_39,join(Y,meet(join(X_38,Y),X_39))),meet(X_39,meet(join(X_39,X_38),join(Y,meet(join(X_38,Y),X_39))))) )],[refute_0_398,refute_0_403]) ).
cnf(refute_0_405,plain,
meet(X_42,meet(X_41,join(Y,X_41))) = meet(X_41,meet(X_42,join(Y,X_41))),
inference(subst,[],[refute_0_183:[bind(X_22,$fot(X_41)),bind(X_23,$fot(X_42)),bind(X_24,$fot(join(Y,X_41)))]]) ).
cnf(refute_0_406,plain,
meet(X_41,join(Y,X_41)) = X_41,
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41))]]) ).
cnf(refute_0_407,plain,
( meet(X_41,join(Y,X_41)) != X_41
| meet(X_42,meet(X_41,join(Y,X_41))) != meet(X_41,meet(X_42,join(Y,X_41)))
| meet(X_42,X_41) = meet(X_41,meet(X_42,join(Y,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,meet(X_41,join(Y,X_41))),meet(X_41,meet(X_42,join(Y,X_41)))) ),[0,1],$fot(X_41)]]) ).
cnf(refute_0_408,plain,
( meet(X_42,meet(X_41,join(Y,X_41))) != meet(X_41,meet(X_42,join(Y,X_41)))
| meet(X_42,X_41) = meet(X_41,meet(X_42,join(Y,X_41))) ),
inference(resolve,[$cnf( $equal(meet(X_41,join(Y,X_41)),X_41) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
meet(X_42,X_41) = meet(X_41,meet(X_42,join(Y,X_41))),
inference(resolve,[$cnf( $equal(meet(X_42,meet(X_41,join(Y,X_41))),meet(X_41,meet(X_42,join(Y,X_41)))) )],[refute_0_405,refute_0_408]) ).
cnf(refute_0_410,plain,
( meet(X_42,X_41) != meet(X_41,meet(X_42,join(Y,X_41)))
| meet(X_41,meet(X_42,join(Y,X_41))) = meet(X_42,X_41) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_42,X_41))),bind(Y0,$fot(meet(X_41,meet(X_42,join(Y,X_41)))))]]) ).
cnf(refute_0_411,plain,
meet(X_41,meet(X_42,join(Y,X_41))) = meet(X_42,X_41),
inference(resolve,[$cnf( $equal(meet(X_42,X_41),meet(X_41,meet(X_42,join(Y,X_41)))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
meet(X_39,meet(Y,join(meet(X_38,Y),X_39))) = meet(Y,X_39),
inference(subst,[],[refute_0_411:[bind(Y,$fot(meet(X_38,Y))),bind(X_41,$fot(X_39)),bind(X_42,$fot(Y))]]) ).
cnf(refute_0_413,plain,
join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))),
introduced(tautology,[refl,[$fot(join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))))]]) ).
cnf(refute_0_414,plain,
( join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))) != join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39))))
| meet(X_39,meet(Y,join(meet(X_38,Y),X_39))) != meet(Y,X_39)
| join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(Y,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))),join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39))))) ),[1,1],$fot(meet(Y,X_39))]]) ).
cnf(refute_0_415,plain,
( meet(X_39,meet(Y,join(meet(X_38,Y),X_39))) != meet(Y,X_39)
| join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(Y,X_39)) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))),join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39))))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(Y,X_39)),
inference(resolve,[$cnf( $equal(meet(X_39,meet(Y,join(meet(X_38,Y),X_39))),meet(Y,X_39)) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
join(join(X_33,Y),meet(X_32,meet(X_33,join(X_33,Y)))) = join(X_33,Y),
inference(subst,[],[refute_0_138:[bind(X_22,$fot(X_32)),bind(X_23,$fot(X_33)),bind(X_6,$fot(join(X_33,Y)))]]) ).
cnf(refute_0_418,plain,
meet(X_33,join(X_33,Y)) = X_33,
inference(subst,[],[absorption1:[bind(X,$fot(X_33))]]) ).
cnf(refute_0_419,plain,
( join(join(X_33,Y),meet(X_32,meet(X_33,join(X_33,Y)))) != join(X_33,Y)
| meet(X_33,join(X_33,Y)) != X_33
| join(join(X_33,Y),meet(X_32,X_33)) = join(X_33,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_33,Y),meet(X_32,meet(X_33,join(X_33,Y)))),join(X_33,Y)) ),[0,1,1],$fot(X_33)]]) ).
cnf(refute_0_420,plain,
( join(join(X_33,Y),meet(X_32,meet(X_33,join(X_33,Y)))) != join(X_33,Y)
| join(join(X_33,Y),meet(X_32,X_33)) = join(X_33,Y) ),
inference(resolve,[$cnf( $equal(meet(X_33,join(X_33,Y)),X_33) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
join(join(X_33,Y),meet(X_32,X_33)) = join(X_33,Y),
inference(resolve,[$cnf( $equal(join(join(X_33,Y),meet(X_32,meet(X_33,join(X_33,Y)))),join(X_33,Y)) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
join(join(X_33,Y),meet(X_32,X_33)) = join(X_33,join(Y,meet(X_32,X_33))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_33)),bind(Z,$fot(meet(X_32,X_33)))]]) ).
cnf(refute_0_423,plain,
( join(join(X_33,Y),meet(X_32,X_33)) != join(X_33,Y)
| join(join(X_33,Y),meet(X_32,X_33)) != join(X_33,join(Y,meet(X_32,X_33)))
| join(X_33,join(Y,meet(X_32,X_33))) = join(X_33,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_33,Y),meet(X_32,X_33)),join(X_33,Y)) ),[0],$fot(join(X_33,join(Y,meet(X_32,X_33))))]]) ).
cnf(refute_0_424,plain,
( join(join(X_33,Y),meet(X_32,X_33)) != join(X_33,Y)
| join(X_33,join(Y,meet(X_32,X_33))) = join(X_33,Y) ),
inference(resolve,[$cnf( $equal(join(join(X_33,Y),meet(X_32,X_33)),join(X_33,join(Y,meet(X_32,X_33)))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
join(X_33,join(Y,meet(X_32,X_33))) = join(X_33,Y),
inference(resolve,[$cnf( $equal(join(join(X_33,Y),meet(X_32,X_33)),join(X_33,Y)) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
join(X_119,join(meet(X_18,X_7),meet(X_118,X_119))) = join(X_119,meet(X_18,X_7)),
inference(subst,[],[refute_0_425:[bind(Y,$fot(meet(X_18,X_7))),bind(X_32,$fot(X_118)),bind(X_33,$fot(X_119))]]) ).
cnf(refute_0_427,plain,
join(join(X_25,join(Y,X_25)),X_27) = join(X_25,join(join(Y,X_25),X_27)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_25)),bind(Y,$fot(join(Y,X_25))),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_428,plain,
join(X_25,join(Y,X_25)) = join(X_25,Y),
inference(subst,[],[refute_0_58:[bind(X_9,$fot(X_25))]]) ).
cnf(refute_0_429,plain,
( join(X_25,join(Y,X_25)) != join(X_25,Y)
| join(join(X_25,join(Y,X_25)),X_27) != join(X_25,join(join(Y,X_25),X_27))
| join(join(X_25,Y),X_27) = join(X_25,join(join(Y,X_25),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,join(Y,X_25)),X_27),join(X_25,join(join(Y,X_25),X_27))) ),[0,0],$fot(join(X_25,Y))]]) ).
cnf(refute_0_430,plain,
( join(join(X_25,join(Y,X_25)),X_27) != join(X_25,join(join(Y,X_25),X_27))
| join(join(X_25,Y),X_27) = join(X_25,join(join(Y,X_25),X_27)) ),
inference(resolve,[$cnf( $equal(join(X_25,join(Y,X_25)),join(X_25,Y)) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
join(join(X_25,Y),X_27) = join(X_25,join(join(Y,X_25),X_27)),
inference(resolve,[$cnf( $equal(join(join(X_25,join(Y,X_25)),X_27),join(X_25,join(join(Y,X_25),X_27))) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
join(join(X_25,Y),X_27) = join(X_25,join(Y,X_27)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_25)),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_433,plain,
( join(join(X_25,Y),X_27) != join(X_25,join(Y,X_27))
| join(join(X_25,Y),X_27) != join(X_25,join(join(Y,X_25),X_27))
| join(X_25,join(Y,X_27)) = join(X_25,join(join(Y,X_25),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,Y),X_27),join(X_25,join(join(Y,X_25),X_27))) ),[0],$fot(join(X_25,join(Y,X_27)))]]) ).
cnf(refute_0_434,plain,
( join(join(X_25,Y),X_27) != join(X_25,join(join(Y,X_25),X_27))
| join(X_25,join(Y,X_27)) = join(X_25,join(join(Y,X_25),X_27)) ),
inference(resolve,[$cnf( $equal(join(join(X_25,Y),X_27),join(X_25,join(Y,X_27))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
join(join(Y,X_25),X_27) = join(Y,join(X_25,X_27)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(Y)),bind(Y,$fot(X_25)),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_436,plain,
join(X_25,join(join(Y,X_25),X_27)) = join(X_25,join(join(Y,X_25),X_27)),
introduced(tautology,[refl,[$fot(join(X_25,join(join(Y,X_25),X_27)))]]) ).
cnf(refute_0_437,plain,
( join(X_25,join(join(Y,X_25),X_27)) != join(X_25,join(join(Y,X_25),X_27))
| join(join(Y,X_25),X_27) != join(Y,join(X_25,X_27))
| join(X_25,join(join(Y,X_25),X_27)) = join(X_25,join(Y,join(X_25,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(join(Y,X_25),X_27)),join(X_25,join(join(Y,X_25),X_27))) ),[1,1],$fot(join(Y,join(X_25,X_27)))]]) ).
cnf(refute_0_438,plain,
( join(join(Y,X_25),X_27) != join(Y,join(X_25,X_27))
| join(X_25,join(join(Y,X_25),X_27)) = join(X_25,join(Y,join(X_25,X_27))) ),
inference(resolve,[$cnf( $equal(join(X_25,join(join(Y,X_25),X_27)),join(X_25,join(join(Y,X_25),X_27))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
join(X_25,join(join(Y,X_25),X_27)) = join(X_25,join(Y,join(X_25,X_27))),
inference(resolve,[$cnf( $equal(join(join(Y,X_25),X_27),join(Y,join(X_25,X_27))) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
( join(X_25,join(Y,X_27)) != join(X_25,join(join(Y,X_25),X_27))
| join(X_25,join(join(Y,X_25),X_27)) != join(X_25,join(Y,join(X_25,X_27)))
| join(X_25,join(Y,X_27)) = join(X_25,join(Y,join(X_25,X_27))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_25,join(Y,X_27)),join(X_25,join(Y,join(X_25,X_27)))) ),[0],$fot(join(X_25,join(join(Y,X_25),X_27)))]]) ).
cnf(refute_0_441,plain,
( join(X_25,join(Y,X_27)) != join(X_25,join(join(Y,X_25),X_27))
| join(X_25,join(Y,X_27)) = join(X_25,join(Y,join(X_25,X_27))) ),
inference(resolve,[$cnf( $equal(join(X_25,join(join(Y,X_25),X_27)),join(X_25,join(Y,join(X_25,X_27)))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
( join(join(X_25,Y),X_27) != join(X_25,join(join(Y,X_25),X_27))
| join(X_25,join(Y,X_27)) = join(X_25,join(Y,join(X_25,X_27))) ),
inference(resolve,[$cnf( $equal(join(X_25,join(Y,X_27)),join(X_25,join(join(Y,X_25),X_27))) )],[refute_0_434,refute_0_441]) ).
cnf(refute_0_443,plain,
join(X_25,join(Y,X_27)) = join(X_25,join(Y,join(X_25,X_27))),
inference(resolve,[$cnf( $equal(join(join(X_25,Y),X_27),join(X_25,join(join(Y,X_25),X_27))) )],[refute_0_431,refute_0_442]) ).
cnf(refute_0_444,plain,
join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) = join(meet(X_18,X_7),join(X_74,join(meet(X_18,X_7),meet(X_7,X_18)))),
inference(subst,[],[refute_0_443:[bind(Y,$fot(X_74)),bind(X_25,$fot(meet(X_18,X_7))),bind(X_27,$fot(meet(X_7,X_18)))]]) ).
cnf(refute_0_445,plain,
join(meet(X_18,X_7),meet(X_7,meet(X_18,X_7))) = meet(X_18,X_7),
inference(subst,[],[refute_0_49:[bind(X_6,$fot(meet(X_18,X_7)))]]) ).
cnf(refute_0_446,plain,
meet(X_7,meet(X_18,X_7)) = meet(X_7,X_18),
inference(subst,[],[refute_0_115:[bind(Y,$fot(X_18)),bind(X_13,$fot(X_7))]]) ).
cnf(refute_0_447,plain,
( join(meet(X_18,X_7),meet(X_7,meet(X_18,X_7))) != meet(X_18,X_7)
| meet(X_7,meet(X_18,X_7)) != meet(X_7,X_18)
| join(meet(X_18,X_7),meet(X_7,X_18)) = meet(X_18,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_18,X_7),meet(X_7,meet(X_18,X_7))),meet(X_18,X_7)) ),[0,1],$fot(meet(X_7,X_18))]]) ).
cnf(refute_0_448,plain,
( join(meet(X_18,X_7),meet(X_7,meet(X_18,X_7))) != meet(X_18,X_7)
| join(meet(X_18,X_7),meet(X_7,X_18)) = meet(X_18,X_7) ),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_18,X_7)),meet(X_7,X_18)) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
join(meet(X_18,X_7),meet(X_7,X_18)) = meet(X_18,X_7),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),meet(X_7,meet(X_18,X_7))),meet(X_18,X_7)) )],[refute_0_445,refute_0_448]) ).
cnf(refute_0_450,plain,
( join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) != join(meet(X_18,X_7),join(X_74,join(meet(X_18,X_7),meet(X_7,X_18))))
| join(meet(X_18,X_7),meet(X_7,X_18)) != meet(X_18,X_7)
| join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) = join(meet(X_18,X_7),join(X_74,meet(X_18,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))),join(meet(X_18,X_7),join(X_74,join(meet(X_18,X_7),meet(X_7,X_18))))) ),[1,1,1],$fot(meet(X_18,X_7))]]) ).
cnf(refute_0_451,plain,
( join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) != join(meet(X_18,X_7),join(X_74,join(meet(X_18,X_7),meet(X_7,X_18))))
| join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) = join(meet(X_18,X_7),join(X_74,meet(X_18,X_7))) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),meet(X_7,X_18)),meet(X_18,X_7)) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) = join(meet(X_18,X_7),join(X_74,meet(X_18,X_7))),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))),join(meet(X_18,X_7),join(X_74,join(meet(X_18,X_7),meet(X_7,X_18))))) )],[refute_0_444,refute_0_451]) ).
cnf(refute_0_453,plain,
join(meet(X_7,X_18),join(X_57,meet(X_18,X_7))) = join(X_57,join(meet(X_18,X_7),meet(X_7,X_18))),
inference(subst,[],[refute_0_342:[bind(X,$fot(meet(X_7,X_18))),bind(X_25,$fot(X_57)),bind(X_26,$fot(meet(X_18,X_7)))]]) ).
cnf(refute_0_454,plain,
( join(meet(X_18,X_7),meet(X_7,X_18)) != meet(X_18,X_7)
| join(meet(X_7,X_18),join(X_57,meet(X_18,X_7))) != join(X_57,join(meet(X_18,X_7),meet(X_7,X_18)))
| join(meet(X_7,X_18),join(X_57,meet(X_18,X_7))) = join(X_57,meet(X_18,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_7,X_18),join(X_57,meet(X_18,X_7))),join(X_57,join(meet(X_18,X_7),meet(X_7,X_18)))) ),[1,1],$fot(meet(X_18,X_7))]]) ).
cnf(refute_0_455,plain,
( join(meet(X_7,X_18),join(X_57,meet(X_18,X_7))) != join(X_57,join(meet(X_18,X_7),meet(X_7,X_18)))
| join(meet(X_7,X_18),join(X_57,meet(X_18,X_7))) = join(X_57,meet(X_18,X_7)) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),meet(X_7,X_18)),meet(X_18,X_7)) )],[refute_0_449,refute_0_454]) ).
cnf(refute_0_456,plain,
join(meet(X_7,X_18),join(X_57,meet(X_18,X_7))) = join(X_57,meet(X_18,X_7)),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_18),join(X_57,meet(X_18,X_7))),join(X_57,join(meet(X_18,X_7),meet(X_7,X_18)))) )],[refute_0_453,refute_0_455]) ).
cnf(refute_0_457,plain,
join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) = join(X_74,meet(X_7,X_18)),
inference(subst,[],[refute_0_456:[bind(X_18,$fot(X_7)),bind(X_57,$fot(X_74)),bind(X_7,$fot(X_18))]]) ).
cnf(refute_0_458,plain,
( join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) != join(X_74,meet(X_7,X_18))
| join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) != join(meet(X_18,X_7),join(X_74,meet(X_18,X_7)))
| join(X_74,meet(X_7,X_18)) = join(meet(X_18,X_7),join(X_74,meet(X_18,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))),join(meet(X_18,X_7),join(X_74,meet(X_18,X_7)))) ),[0],$fot(join(X_74,meet(X_7,X_18)))]]) ).
cnf(refute_0_459,plain,
( join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) != join(meet(X_18,X_7),join(X_74,meet(X_18,X_7)))
| join(X_74,meet(X_7,X_18)) = join(meet(X_18,X_7),join(X_74,meet(X_18,X_7))) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))),join(X_74,meet(X_7,X_18))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
join(meet(X_18,X_7),join(X_74,meet(X_18,X_7))) = join(meet(X_18,X_7),X_74),
inference(subst,[],[refute_0_58:[bind(Y,$fot(X_74)),bind(X_9,$fot(meet(X_18,X_7)))]]) ).
cnf(refute_0_461,plain,
( join(X_74,meet(X_7,X_18)) != join(meet(X_18,X_7),join(X_74,meet(X_18,X_7)))
| join(meet(X_18,X_7),join(X_74,meet(X_18,X_7))) != join(meet(X_18,X_7),X_74)
| join(X_74,meet(X_7,X_18)) = join(meet(X_18,X_7),X_74) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_74,meet(X_7,X_18)),join(meet(X_18,X_7),X_74)) ),[0],$fot(join(meet(X_18,X_7),join(X_74,meet(X_18,X_7))))]]) ).
cnf(refute_0_462,plain,
( join(X_74,meet(X_7,X_18)) != join(meet(X_18,X_7),join(X_74,meet(X_18,X_7)))
| join(X_74,meet(X_7,X_18)) = join(meet(X_18,X_7),X_74) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),join(X_74,meet(X_18,X_7))),join(meet(X_18,X_7),X_74)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
( join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))) != join(meet(X_18,X_7),join(X_74,meet(X_18,X_7)))
| join(X_74,meet(X_7,X_18)) = join(meet(X_18,X_7),X_74) ),
inference(resolve,[$cnf( $equal(join(X_74,meet(X_7,X_18)),join(meet(X_18,X_7),join(X_74,meet(X_18,X_7)))) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
join(X_74,meet(X_7,X_18)) = join(meet(X_18,X_7),X_74),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),join(X_74,meet(X_7,X_18))),join(meet(X_18,X_7),join(X_74,meet(X_18,X_7)))) )],[refute_0_452,refute_0_463]) ).
cnf(refute_0_465,plain,
join(meet(X_118,X_119),meet(X_7,X_18)) = join(meet(X_18,X_7),meet(X_118,X_119)),
inference(subst,[],[refute_0_464:[bind(X_74,$fot(meet(X_118,X_119)))]]) ).
cnf(refute_0_466,plain,
( join(meet(X_118,X_119),meet(X_7,X_18)) != join(meet(X_18,X_7),meet(X_118,X_119))
| join(meet(X_18,X_7),meet(X_118,X_119)) = join(meet(X_118,X_119),meet(X_7,X_18)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_118,X_119),meet(X_7,X_18)))),bind(Y0,$fot(join(meet(X_18,X_7),meet(X_118,X_119))))]]) ).
cnf(refute_0_467,plain,
join(meet(X_18,X_7),meet(X_118,X_119)) = join(meet(X_118,X_119),meet(X_7,X_18)),
inference(resolve,[$cnf( $equal(join(meet(X_118,X_119),meet(X_7,X_18)),join(meet(X_18,X_7),meet(X_118,X_119))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
( join(X_119,join(meet(X_18,X_7),meet(X_118,X_119))) != join(X_119,meet(X_18,X_7))
| join(meet(X_18,X_7),meet(X_118,X_119)) != join(meet(X_118,X_119),meet(X_7,X_18))
| join(X_119,join(meet(X_118,X_119),meet(X_7,X_18))) = join(X_119,meet(X_18,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_119,join(meet(X_18,X_7),meet(X_118,X_119))),join(X_119,meet(X_18,X_7))) ),[0,1],$fot(join(meet(X_118,X_119),meet(X_7,X_18)))]]) ).
cnf(refute_0_469,plain,
( join(X_119,join(meet(X_18,X_7),meet(X_118,X_119))) != join(X_119,meet(X_18,X_7))
| join(X_119,join(meet(X_118,X_119),meet(X_7,X_18))) = join(X_119,meet(X_18,X_7)) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),meet(X_118,X_119)),join(meet(X_118,X_119),meet(X_7,X_18))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
join(X_119,join(meet(X_118,X_119),meet(X_7,X_18))) = join(X_119,meet(X_18,X_7)),
inference(resolve,[$cnf( $equal(join(X_119,join(meet(X_18,X_7),meet(X_118,X_119))),join(X_119,meet(X_18,X_7))) )],[refute_0_426,refute_0_469]) ).
cnf(refute_0_471,plain,
join(join(X_25,meet(X_7,X_25)),X_27) = join(X_25,join(meet(X_7,X_25),X_27)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_25)),bind(Y,$fot(meet(X_7,X_25))),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_472,plain,
join(X_25,meet(X_7,X_25)) = X_25,
inference(subst,[],[refute_0_49:[bind(X_6,$fot(X_25))]]) ).
cnf(refute_0_473,plain,
( join(X_25,meet(X_7,X_25)) != X_25
| join(join(X_25,meet(X_7,X_25)),X_27) != join(X_25,join(meet(X_7,X_25),X_27))
| join(X_25,X_27) = join(X_25,join(meet(X_7,X_25),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,meet(X_7,X_25)),X_27),join(X_25,join(meet(X_7,X_25),X_27))) ),[0,0],$fot(X_25)]]) ).
cnf(refute_0_474,plain,
( join(join(X_25,meet(X_7,X_25)),X_27) != join(X_25,join(meet(X_7,X_25),X_27))
| join(X_25,X_27) = join(X_25,join(meet(X_7,X_25),X_27)) ),
inference(resolve,[$cnf( $equal(join(X_25,meet(X_7,X_25)),X_25) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
join(X_25,X_27) = join(X_25,join(meet(X_7,X_25),X_27)),
inference(resolve,[$cnf( $equal(join(join(X_25,meet(X_7,X_25)),X_27),join(X_25,join(meet(X_7,X_25),X_27))) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
( join(X_25,X_27) != join(X_25,join(meet(X_7,X_25),X_27))
| join(X_25,join(meet(X_7,X_25),X_27)) = join(X_25,X_27) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_25,X_27))),bind(Y0,$fot(join(X_25,join(meet(X_7,X_25),X_27))))]]) ).
cnf(refute_0_477,plain,
join(X_25,join(meet(X_7,X_25),X_27)) = join(X_25,X_27),
inference(resolve,[$cnf( $equal(join(X_25,X_27),join(X_25,join(meet(X_7,X_25),X_27))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
join(X_119,join(meet(X_118,X_119),meet(X_7,X_18))) = join(X_119,meet(X_7,X_18)),
inference(subst,[],[refute_0_477:[bind(X_25,$fot(X_119)),bind(X_27,$fot(meet(X_7,X_18))),bind(X_7,$fot(X_118))]]) ).
cnf(refute_0_479,plain,
( join(X_119,join(meet(X_118,X_119),meet(X_7,X_18))) != join(X_119,meet(X_18,X_7))
| join(X_119,join(meet(X_118,X_119),meet(X_7,X_18))) != join(X_119,meet(X_7,X_18))
| join(X_119,meet(X_7,X_18)) = join(X_119,meet(X_18,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_119,join(meet(X_118,X_119),meet(X_7,X_18))),join(X_119,meet(X_18,X_7))) ),[0],$fot(join(X_119,meet(X_7,X_18)))]]) ).
cnf(refute_0_480,plain,
( join(X_119,join(meet(X_118,X_119),meet(X_7,X_18))) != join(X_119,meet(X_18,X_7))
| join(X_119,meet(X_7,X_18)) = join(X_119,meet(X_18,X_7)) ),
inference(resolve,[$cnf( $equal(join(X_119,join(meet(X_118,X_119),meet(X_7,X_18))),join(X_119,meet(X_7,X_18))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
join(X_119,meet(X_7,X_18)) = join(X_119,meet(X_18,X_7)),
inference(resolve,[$cnf( $equal(join(X_119,join(meet(X_118,X_119),meet(X_7,X_18))),join(X_119,meet(X_18,X_7))) )],[refute_0_470,refute_0_480]) ).
cnf(refute_0_482,plain,
( join(X_119,meet(X_7,X_18)) != join(X_119,meet(X_18,X_7))
| join(X_119,meet(X_18,X_7)) = join(X_119,meet(X_7,X_18)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_119,meet(X_7,X_18)))),bind(Y0,$fot(join(X_119,meet(X_18,X_7))))]]) ).
cnf(refute_0_483,plain,
join(X_119,meet(X_18,X_7)) = join(X_119,meet(X_7,X_18)),
inference(resolve,[$cnf( $equal(join(X_119,meet(X_7,X_18)),join(X_119,meet(X_18,X_7))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
join(meet(X_39,X_38),meet(meet(Y,join(meet(X_38,Y),X_39)),X_39)) = join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))),
inference(subst,[],[refute_0_483:[bind(X_119,$fot(meet(X_39,X_38))),bind(X_18,$fot(meet(Y,join(meet(X_38,Y),X_39)))),bind(X_7,$fot(X_39))]]) ).
cnf(refute_0_485,plain,
join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) = meet(join(X_37,meet(X_37,Y)),join(X_36,meet(join(meet(X_37,Y),X_36),X_37))),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(X_37,Y))),bind(Y,$fot(X_36)),bind(Z,$fot(X_37))]]) ).
cnf(refute_0_486,plain,
join(X_37,meet(X_37,Y)) = X_37,
inference(subst,[],[absorption2:[bind(X,$fot(X_37))]]) ).
cnf(refute_0_487,plain,
( join(X_37,meet(X_37,Y)) != X_37
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) != meet(join(X_37,meet(X_37,Y)),join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) = meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))),meet(join(X_37,meet(X_37,Y)),join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))) ),[1,0],$fot(X_37)]]) ).
cnf(refute_0_488,plain,
( join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) != meet(join(X_37,meet(X_37,Y)),join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) = meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) ),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_37,Y)),X_37) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) = meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))),meet(join(X_37,meet(X_37,Y)),join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))) )],[refute_0_485,refute_0_488]) ).
cnf(refute_0_490,plain,
join(X_37,meet(X_37,meet(Y,X_36))) = X_37,
inference(subst,[],[absorption2:[bind(X,$fot(X_37)),bind(Y,$fot(meet(Y,X_36)))]]) ).
cnf(refute_0_491,plain,
meet(meet(X_37,Y),X_36) = meet(X_37,meet(Y,X_36)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_37)),bind(Z,$fot(X_36))]]) ).
cnf(refute_0_492,plain,
join(X_37,meet(meet(X_37,Y),X_36)) = join(X_37,meet(meet(X_37,Y),X_36)),
introduced(tautology,[refl,[$fot(join(X_37,meet(meet(X_37,Y),X_36)))]]) ).
cnf(refute_0_493,plain,
( join(X_37,meet(meet(X_37,Y),X_36)) != join(X_37,meet(meet(X_37,Y),X_36))
| meet(meet(X_37,Y),X_36) != meet(X_37,meet(Y,X_36))
| join(X_37,meet(meet(X_37,Y),X_36)) = join(X_37,meet(X_37,meet(Y,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_37,meet(meet(X_37,Y),X_36)),join(X_37,meet(meet(X_37,Y),X_36))) ),[1,1],$fot(meet(X_37,meet(Y,X_36)))]]) ).
cnf(refute_0_494,plain,
( meet(meet(X_37,Y),X_36) != meet(X_37,meet(Y,X_36))
| join(X_37,meet(meet(X_37,Y),X_36)) = join(X_37,meet(X_37,meet(Y,X_36))) ),
inference(resolve,[$cnf( $equal(join(X_37,meet(meet(X_37,Y),X_36)),join(X_37,meet(meet(X_37,Y),X_36))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
join(X_37,meet(meet(X_37,Y),X_36)) = join(X_37,meet(X_37,meet(Y,X_36))),
inference(resolve,[$cnf( $equal(meet(meet(X_37,Y),X_36),meet(X_37,meet(Y,X_36))) )],[refute_0_491,refute_0_494]) ).
cnf(refute_0_496,plain,
( join(X_37,meet(X_37,meet(Y,X_36))) != X_37
| join(X_37,meet(meet(X_37,Y),X_36)) != join(X_37,meet(X_37,meet(Y,X_36)))
| join(X_37,meet(meet(X_37,Y),X_36)) = X_37 ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(X_37,meet(meet(X_37,Y),X_36)))),bind(Y0,$fot(join(X_37,meet(X_37,meet(Y,X_36))))),bind(Z0,$fot(X_37))]]) ).
cnf(refute_0_497,plain,
( join(X_37,meet(X_37,meet(Y,X_36))) != X_37
| join(X_37,meet(meet(X_37,Y),X_36)) = X_37 ),
inference(resolve,[$cnf( $equal(join(X_37,meet(meet(X_37,Y),X_36)),join(X_37,meet(X_37,meet(Y,X_36)))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
join(X_37,meet(meet(X_37,Y),X_36)) = X_37,
inference(resolve,[$cnf( $equal(join(X_37,meet(X_37,meet(Y,X_36))),X_37) )],[refute_0_490,refute_0_497]) ).
cnf(refute_0_499,plain,
meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))) = meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))),
introduced(tautology,[refl,[$fot(meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))]]) ).
cnf(refute_0_500,plain,
( join(X_37,meet(meet(X_37,Y),X_36)) != X_37
| meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))) != meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))
| meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))) = meet(X_36,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) ),[1,1],$fot(X_37)]]) ).
cnf(refute_0_501,plain,
( join(X_37,meet(meet(X_37,Y),X_36)) != X_37
| meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))) = meet(X_36,X_37) ),
inference(resolve,[$cnf( $equal(meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))) = meet(X_36,X_37),
inference(resolve,[$cnf( $equal(join(X_37,meet(meet(X_37,Y),X_36)),X_37) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),
introduced(tautology,[refl,[$fot(join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))))]]) ).
cnf(refute_0_504,plain,
( join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) != join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))
| meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))) != meet(X_36,X_37)
| join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,Y),meet(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))) ),[1,1],$fot(meet(X_36,X_37))]]) ).
cnf(refute_0_505,plain,
( meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))) != meet(X_36,X_37)
| join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,Y),meet(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,Y),meet(X_36,X_37)),
inference(resolve,[$cnf( $equal(meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))),meet(X_36,X_37)) )],[refute_0_502,refute_0_505]) ).
cnf(refute_0_507,plain,
meet(X_19,meet(X_18,X_19)) = meet(X_19,X_18),
inference(subst,[],[refute_0_115:[bind(Y,$fot(X_18)),bind(X_13,$fot(X_19))]]) ).
cnf(refute_0_508,plain,
meet(X_19,X_18) = meet(X_18,X_19),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_19)),bind(Y,$fot(X_18))]]) ).
cnf(refute_0_509,plain,
( meet(X_19,X_18) != meet(X_18,X_19)
| meet(X_18,X_19) = meet(X_19,X_18) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_19,X_18))),bind(Y0,$fot(meet(X_18,X_19)))]]) ).
cnf(refute_0_510,plain,
meet(X_18,X_19) = meet(X_19,X_18),
inference(resolve,[$cnf( $equal(meet(X_19,X_18),meet(X_18,X_19)) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
( meet(X_18,X_19) != meet(X_19,X_18)
| meet(X_19,meet(X_18,X_19)) != meet(X_19,X_18)
| meet(X_19,meet(X_19,X_18)) = meet(X_19,X_18) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,meet(X_18,X_19)),meet(X_19,X_18)) ),[0,1],$fot(meet(X_19,X_18))]]) ).
cnf(refute_0_512,plain,
( meet(X_19,meet(X_18,X_19)) != meet(X_19,X_18)
| meet(X_19,meet(X_19,X_18)) = meet(X_19,X_18) ),
inference(resolve,[$cnf( $equal(meet(X_18,X_19),meet(X_19,X_18)) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
meet(X_19,meet(X_19,X_18)) = meet(X_19,X_18),
inference(resolve,[$cnf( $equal(meet(X_19,meet(X_18,X_19)),meet(X_19,X_18)) )],[refute_0_507,refute_0_512]) ).
cnf(refute_0_514,plain,
meet(X_37,meet(X_37,Y)) = meet(X_37,Y),
inference(subst,[],[refute_0_513:[bind(X_18,$fot(Y)),bind(X_19,$fot(X_37))]]) ).
cnf(refute_0_515,plain,
join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),
introduced(tautology,[refl,[$fot(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))))]]) ).
cnf(refute_0_516,plain,
( join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) != join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))
| meet(X_37,meet(X_37,Y)) != meet(X_37,Y)
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))) ),[1,0],$fot(meet(X_37,Y))]]) ).
cnf(refute_0_517,plain,
( meet(X_37,meet(X_37,Y)) != meet(X_37,Y)
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),
inference(resolve,[$cnf( $equal(meet(X_37,meet(X_37,Y)),meet(X_37,Y)) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
( join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) != join(meet(X_37,Y),meet(X_36,X_37))
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) != join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,Y),meet(X_36,X_37)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))))),bind(Y0,$fot(join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))))),bind(Z0,$fot(join(meet(X_37,Y),meet(X_36,X_37))))]]) ).
cnf(refute_0_520,plain,
( join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) != join(meet(X_37,Y),meet(X_36,X_37))
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,Y),meet(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) = join(meet(X_37,Y),meet(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(meet(X_37,Y),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),join(meet(X_37,Y),meet(X_36,X_37))) )],[refute_0_506,refute_0_520]) ).
cnf(refute_0_522,plain,
join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) = join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),
inference(subst,[],[refute_0_270:[bind(X_35,$fot(meet(X_37,Y)))]]) ).
cnf(refute_0_523,plain,
( join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) != join(meet(X_37,Y),meet(X_36,X_37))
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) != join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) = join(meet(X_37,Y),meet(X_36,X_37)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))))),bind(Y0,$fot(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))))),bind(Z0,$fot(join(meet(X_37,Y),meet(X_36,X_37))))]]) ).
cnf(refute_0_524,plain,
( join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))) != join(meet(X_37,Y),meet(X_36,X_37))
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) = join(meet(X_37,Y),meet(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))),join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36))))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) = join(meet(X_37,Y),meet(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(X_37,meet(meet(X_37,Y),X_36)))),join(meet(X_37,Y),meet(X_36,X_37))) )],[refute_0_521,refute_0_524]) ).
cnf(refute_0_526,plain,
( join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) != join(meet(X_37,Y),meet(X_36,X_37))
| join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) != meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))
| join(meet(X_37,Y),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))),meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))) ),[0],$fot(join(meet(X_37,Y),meet(X_36,X_37)))]]) ).
cnf(refute_0_527,plain,
( join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) != meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))
| join(meet(X_37,Y),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))),join(meet(X_37,Y),meet(X_36,X_37))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
meet(join(meet(X_37,Y),X_36),X_37) = meet(X_37,join(meet(X_37,Y),X_36)),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_37)),bind(Y,$fot(join(meet(X_37,Y),X_36)))]]) ).
cnf(refute_0_529,plain,
join(X_36,meet(join(meet(X_37,Y),X_36),X_37)) = join(X_36,meet(join(meet(X_37,Y),X_36),X_37)),
introduced(tautology,[refl,[$fot(join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))]]) ).
cnf(refute_0_530,plain,
( join(X_36,meet(join(meet(X_37,Y),X_36),X_37)) != join(X_36,meet(join(meet(X_37,Y),X_36),X_37))
| meet(join(meet(X_37,Y),X_36),X_37) != meet(X_37,join(meet(X_37,Y),X_36))
| join(X_36,meet(join(meet(X_37,Y),X_36),X_37)) = join(X_36,meet(X_37,join(meet(X_37,Y),X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_36,meet(join(meet(X_37,Y),X_36),X_37)),join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) ),[1,1],$fot(meet(X_37,join(meet(X_37,Y),X_36)))]]) ).
cnf(refute_0_531,plain,
( meet(join(meet(X_37,Y),X_36),X_37) != meet(X_37,join(meet(X_37,Y),X_36))
| join(X_36,meet(join(meet(X_37,Y),X_36),X_37)) = join(X_36,meet(X_37,join(meet(X_37,Y),X_36))) ),
inference(resolve,[$cnf( $equal(join(X_36,meet(join(meet(X_37,Y),X_36),X_37)),join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
join(X_36,meet(join(meet(X_37,Y),X_36),X_37)) = join(X_36,meet(X_37,join(meet(X_37,Y),X_36))),
inference(resolve,[$cnf( $equal(meet(join(meet(X_37,Y),X_36),X_37),meet(X_37,join(meet(X_37,Y),X_36))) )],[refute_0_528,refute_0_531]) ).
cnf(refute_0_533,plain,
meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) = meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))),
introduced(tautology,[refl,[$fot(meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))))]]) ).
cnf(refute_0_534,plain,
( join(X_36,meet(join(meet(X_37,Y),X_36),X_37)) != join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))
| meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) != meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))
| meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) = meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))),meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))) ),[1,1],$fot(join(X_36,meet(X_37,join(meet(X_37,Y),X_36))))]]) ).
cnf(refute_0_535,plain,
( join(X_36,meet(join(meet(X_37,Y),X_36),X_37)) != join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))
| meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) = meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) ),
inference(resolve,[$cnf( $equal(meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))),meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) = meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))),
inference(resolve,[$cnf( $equal(join(X_36,meet(join(meet(X_37,Y),X_36),X_37)),join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
( join(meet(X_37,Y),meet(X_36,X_37)) != meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))
| meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))) != meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36))))
| join(meet(X_37,Y),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_37,Y),meet(X_36,X_37)),meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36))))) ),[0],$fot(meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))))]]) ).
cnf(refute_0_538,plain,
( join(meet(X_37,Y),meet(X_36,X_37)) != meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))
| join(meet(X_37,Y),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) ),
inference(resolve,[$cnf( $equal(meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37))),meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36))))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
( join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))) != meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))
| join(meet(X_37,Y),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,Y),meet(X_36,X_37)),meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))) )],[refute_0_527,refute_0_538]) ).
cnf(refute_0_540,plain,
join(meet(X_37,Y),meet(X_36,X_37)) = meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))),
inference(resolve,[$cnf( $equal(join(meet(X_37,meet(X_37,Y)),meet(X_36,join(meet(meet(X_37,Y),X_36),X_37))),meet(X_37,join(X_36,meet(join(meet(X_37,Y),X_36),X_37)))) )],[refute_0_489,refute_0_539]) ).
cnf(refute_0_541,plain,
join(meet(X_85,join(X_83,X_7)),meet(X_7,meet(X_85,join(X_83,X_7)))) = meet(X_85,join(X_83,X_7)),
inference(subst,[],[refute_0_49:[bind(X_6,$fot(meet(X_85,join(X_83,X_7))))]]) ).
cnf(refute_0_542,plain,
meet(X_85,X_7) = meet(X_7,meet(X_85,join(X_83,X_7))),
inference(subst,[],[refute_0_409:[bind(Y,$fot(X_83)),bind(X_41,$fot(X_7)),bind(X_42,$fot(X_85))]]) ).
cnf(refute_0_543,plain,
( meet(X_85,X_7) != meet(X_7,meet(X_85,join(X_83,X_7)))
| meet(X_7,meet(X_85,join(X_83,X_7))) = meet(X_85,X_7) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_85,X_7))),bind(Y0,$fot(meet(X_7,meet(X_85,join(X_83,X_7)))))]]) ).
cnf(refute_0_544,plain,
meet(X_7,meet(X_85,join(X_83,X_7))) = meet(X_85,X_7),
inference(resolve,[$cnf( $equal(meet(X_85,X_7),meet(X_7,meet(X_85,join(X_83,X_7)))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
( join(meet(X_85,join(X_83,X_7)),meet(X_7,meet(X_85,join(X_83,X_7)))) != meet(X_85,join(X_83,X_7))
| meet(X_7,meet(X_85,join(X_83,X_7))) != meet(X_85,X_7)
| join(meet(X_85,join(X_83,X_7)),meet(X_85,X_7)) = meet(X_85,join(X_83,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_85,join(X_83,X_7)),meet(X_7,meet(X_85,join(X_83,X_7)))),meet(X_85,join(X_83,X_7))) ),[0,1],$fot(meet(X_85,X_7))]]) ).
cnf(refute_0_546,plain,
( join(meet(X_85,join(X_83,X_7)),meet(X_7,meet(X_85,join(X_83,X_7)))) != meet(X_85,join(X_83,X_7))
| join(meet(X_85,join(X_83,X_7)),meet(X_85,X_7)) = meet(X_85,join(X_83,X_7)) ),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_85,join(X_83,X_7))),meet(X_85,X_7)) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
join(meet(X_85,join(X_83,X_7)),meet(X_85,X_7)) = meet(X_85,join(X_83,X_7)),
inference(resolve,[$cnf( $equal(join(meet(X_85,join(X_83,X_7)),meet(X_7,meet(X_85,join(X_83,X_7)))),meet(X_85,join(X_83,X_7))) )],[refute_0_541,refute_0_546]) ).
cnf(refute_0_548,plain,
join(meet(X_85,join(X_83,X_7)),meet(X_85,X_7)) = join(meet(X_7,X_85),meet(X_85,join(X_83,X_7))),
inference(subst,[],[refute_0_464:[bind(X_18,$fot(X_7)),bind(X_7,$fot(X_85)),bind(X_74,$fot(meet(X_85,join(X_83,X_7))))]]) ).
cnf(refute_0_549,plain,
( join(meet(X_85,join(X_83,X_7)),meet(X_85,X_7)) != join(meet(X_7,X_85),meet(X_85,join(X_83,X_7)))
| join(meet(X_85,join(X_83,X_7)),meet(X_85,X_7)) != meet(X_85,join(X_83,X_7))
| join(meet(X_7,X_85),meet(X_85,join(X_83,X_7))) = meet(X_85,join(X_83,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_85,join(X_83,X_7)),meet(X_85,X_7)),meet(X_85,join(X_83,X_7))) ),[0],$fot(join(meet(X_7,X_85),meet(X_85,join(X_83,X_7))))]]) ).
cnf(refute_0_550,plain,
( join(meet(X_85,join(X_83,X_7)),meet(X_85,X_7)) != meet(X_85,join(X_83,X_7))
| join(meet(X_7,X_85),meet(X_85,join(X_83,X_7))) = meet(X_85,join(X_83,X_7)) ),
inference(resolve,[$cnf( $equal(join(meet(X_85,join(X_83,X_7)),meet(X_85,X_7)),join(meet(X_7,X_85),meet(X_85,join(X_83,X_7)))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
join(meet(X_7,X_85),meet(X_85,join(X_83,X_7))) = meet(X_85,join(X_83,X_7)),
inference(resolve,[$cnf( $equal(join(meet(X_85,join(X_83,X_7)),meet(X_85,X_7)),meet(X_85,join(X_83,X_7))) )],[refute_0_547,refute_0_550]) ).
cnf(refute_0_552,plain,
join(meet(X_36,X_37),meet(X_37,join(meet(X_37,Y),X_36))) = meet(X_37,join(meet(X_37,Y),X_36)),
inference(subst,[],[refute_0_551:[bind(X_7,$fot(X_36)),bind(X_83,$fot(meet(X_37,Y))),bind(X_85,$fot(X_37))]]) ).
cnf(refute_0_553,plain,
join(X_63,join(meet(X_18,X_7),meet(X_7,X_18))) = join(meet(X_18,X_7),join(X_63,meet(X_7,X_18))),
inference(subst,[],[refute_0_374:[bind(X_25,$fot(meet(X_18,X_7))),bind(X_26,$fot(X_63)),bind(X_27,$fot(meet(X_7,X_18)))]]) ).
cnf(refute_0_554,plain,
( join(X_63,join(meet(X_18,X_7),meet(X_7,X_18))) != join(meet(X_18,X_7),join(X_63,meet(X_7,X_18)))
| join(meet(X_18,X_7),meet(X_7,X_18)) != meet(X_18,X_7)
| join(X_63,meet(X_18,X_7)) = join(meet(X_18,X_7),join(X_63,meet(X_7,X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_63,join(meet(X_18,X_7),meet(X_7,X_18))),join(meet(X_18,X_7),join(X_63,meet(X_7,X_18)))) ),[0,1],$fot(meet(X_18,X_7))]]) ).
cnf(refute_0_555,plain,
( join(X_63,join(meet(X_18,X_7),meet(X_7,X_18))) != join(meet(X_18,X_7),join(X_63,meet(X_7,X_18)))
| join(X_63,meet(X_18,X_7)) = join(meet(X_18,X_7),join(X_63,meet(X_7,X_18))) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),meet(X_7,X_18)),meet(X_18,X_7)) )],[refute_0_449,refute_0_554]) ).
cnf(refute_0_556,plain,
join(X_63,meet(X_18,X_7)) = join(meet(X_18,X_7),join(X_63,meet(X_7,X_18))),
inference(resolve,[$cnf( $equal(join(X_63,join(meet(X_18,X_7),meet(X_7,X_18))),join(meet(X_18,X_7),join(X_63,meet(X_7,X_18)))) )],[refute_0_553,refute_0_555]) ).
cnf(refute_0_557,plain,
join(meet(X_18,X_7),join(X_63,meet(X_7,X_18))) = join(X_63,meet(X_7,X_18)),
inference(subst,[],[refute_0_456:[bind(X_18,$fot(X_7)),bind(X_57,$fot(X_63)),bind(X_7,$fot(X_18))]]) ).
cnf(refute_0_558,plain,
( join(X_63,meet(X_18,X_7)) != join(meet(X_18,X_7),join(X_63,meet(X_7,X_18)))
| join(meet(X_18,X_7),join(X_63,meet(X_7,X_18))) != join(X_63,meet(X_7,X_18))
| join(X_63,meet(X_18,X_7)) = join(X_63,meet(X_7,X_18)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_63,meet(X_18,X_7)),join(X_63,meet(X_7,X_18))) ),[0],$fot(join(meet(X_18,X_7),join(X_63,meet(X_7,X_18))))]]) ).
cnf(refute_0_559,plain,
( join(X_63,meet(X_18,X_7)) != join(meet(X_18,X_7),join(X_63,meet(X_7,X_18)))
| join(X_63,meet(X_18,X_7)) = join(X_63,meet(X_7,X_18)) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),join(X_63,meet(X_7,X_18))),join(X_63,meet(X_7,X_18))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
join(X_63,meet(X_18,X_7)) = join(X_63,meet(X_7,X_18)),
inference(resolve,[$cnf( $equal(join(X_63,meet(X_18,X_7)),join(meet(X_18,X_7),join(X_63,meet(X_7,X_18)))) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
join(X_63,meet(join(X_154,X_152),X_7)) = join(X_63,meet(X_7,join(X_154,X_152))),
inference(subst,[],[refute_0_560:[bind(X_18,$fot(join(X_154,X_152)))]]) ).
cnf(refute_0_562,plain,
join(meet(X_30,meet(X,Y)),meet(meet(X,Y),X_30)) = meet(X_30,meet(X,Y)),
inference(subst,[],[refute_0_449:[bind(X_18,$fot(X_30)),bind(X_7,$fot(meet(X,Y)))]]) ).
cnf(refute_0_563,plain,
meet(meet(X,Y),X_30) = meet(X,meet(Y,X_30)),
inference(subst,[],[associativity_of_meet:[bind(Z,$fot(X_30))]]) ).
cnf(refute_0_564,plain,
( join(meet(X_30,meet(X,Y)),meet(meet(X,Y),X_30)) != meet(X_30,meet(X,Y))
| meet(meet(X,Y),X_30) != meet(X,meet(Y,X_30))
| join(meet(X_30,meet(X,Y)),meet(X,meet(Y,X_30))) = meet(X_30,meet(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_30,meet(X,Y)),meet(meet(X,Y),X_30)),meet(X_30,meet(X,Y))) ),[0,1],$fot(meet(X,meet(Y,X_30)))]]) ).
cnf(refute_0_565,plain,
( join(meet(X_30,meet(X,Y)),meet(meet(X,Y),X_30)) != meet(X_30,meet(X,Y))
| join(meet(X_30,meet(X,Y)),meet(X,meet(Y,X_30))) = meet(X_30,meet(X,Y)) ),
inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_30),meet(X,meet(Y,X_30))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
join(meet(X_30,meet(X,Y)),meet(X,meet(Y,X_30))) = meet(X_30,meet(X,Y)),
inference(resolve,[$cnf( $equal(join(meet(X_30,meet(X,Y)),meet(meet(X,Y),X_30)),meet(X_30,meet(X,Y))) )],[refute_0_562,refute_0_565]) ).
cnf(refute_0_567,plain,
join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,meet(join(X_14,Y),join(Y,X_14)))) = meet(join(Y,X_14),meet(X_134,join(X_14,Y))),
inference(subst,[],[refute_0_566:[bind(X,$fot(X_134)),bind(Y,$fot(join(X_14,Y))),bind(X_30,$fot(join(Y,X_14)))]]) ).
cnf(refute_0_568,plain,
( join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,meet(join(X_14,Y),join(Y,X_14)))) != meet(join(Y,X_14),meet(X_134,join(X_14,Y)))
| meet(join(X_14,Y),join(Y,X_14)) != join(X_14,Y)
| join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) = meet(join(Y,X_14),meet(X_134,join(X_14,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,meet(join(X_14,Y),join(Y,X_14)))),meet(join(Y,X_14),meet(X_134,join(X_14,Y)))) ),[0,1,1],$fot(join(X_14,Y))]]) ).
cnf(refute_0_569,plain,
( join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,meet(join(X_14,Y),join(Y,X_14)))) != meet(join(Y,X_14),meet(X_134,join(X_14,Y)))
| join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) = meet(join(Y,X_14),meet(X_134,join(X_14,Y))) ),
inference(resolve,[$cnf( $equal(meet(join(X_14,Y),join(Y,X_14)),join(X_14,Y)) )],[refute_0_354,refute_0_568]) ).
cnf(refute_0_570,plain,
join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) = meet(join(Y,X_14),meet(X_134,join(X_14,Y))),
inference(resolve,[$cnf( $equal(join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,meet(join(X_14,Y),join(Y,X_14)))),meet(join(Y,X_14),meet(X_134,join(X_14,Y)))) )],[refute_0_567,refute_0_569]) ).
cnf(refute_0_571,plain,
join(meet(X_41,X_43),meet(X_7,meet(X_41,X_43))) = meet(X_41,X_43),
inference(subst,[],[refute_0_49:[bind(X_6,$fot(meet(X_41,X_43)))]]) ).
cnf(refute_0_572,plain,
meet(X_7,meet(X_41,X_43)) = meet(X_41,meet(X_7,X_43)),
inference(subst,[],[refute_0_183:[bind(X_22,$fot(X_41)),bind(X_23,$fot(X_7)),bind(X_24,$fot(X_43))]]) ).
cnf(refute_0_573,plain,
( join(meet(X_41,X_43),meet(X_7,meet(X_41,X_43))) != meet(X_41,X_43)
| meet(X_7,meet(X_41,X_43)) != meet(X_41,meet(X_7,X_43))
| join(meet(X_41,X_43),meet(X_41,meet(X_7,X_43))) = meet(X_41,X_43) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_41,X_43),meet(X_7,meet(X_41,X_43))),meet(X_41,X_43)) ),[0,1],$fot(meet(X_41,meet(X_7,X_43)))]]) ).
cnf(refute_0_574,plain,
( join(meet(X_41,X_43),meet(X_7,meet(X_41,X_43))) != meet(X_41,X_43)
| join(meet(X_41,X_43),meet(X_41,meet(X_7,X_43))) = meet(X_41,X_43) ),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_41,X_43)),meet(X_41,meet(X_7,X_43))) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
join(meet(X_41,X_43),meet(X_41,meet(X_7,X_43))) = meet(X_41,X_43),
inference(resolve,[$cnf( $equal(join(meet(X_41,X_43),meet(X_7,meet(X_41,X_43))),meet(X_41,X_43)) )],[refute_0_571,refute_0_574]) ).
cnf(refute_0_576,plain,
join(meet(X_134,join(X_14,Y)),meet(X_134,meet(join(Y,X_14),join(X_14,Y)))) = meet(X_134,join(X_14,Y)),
inference(subst,[],[refute_0_575:[bind(X_41,$fot(X_134)),bind(X_43,$fot(join(X_14,Y))),bind(X_7,$fot(join(Y,X_14)))]]) ).
cnf(refute_0_577,plain,
join(X_74,meet(meet(X_104,X_106),X_18)) = join(meet(X_18,meet(X_104,X_106)),X_74),
inference(subst,[],[refute_0_464:[bind(X_7,$fot(meet(X_104,X_106)))]]) ).
cnf(refute_0_578,plain,
join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,meet(X_7,X_103)))) = meet(meet(X_101,meet(X_7,X_103)),X_7),
inference(subst,[],[refute_0_449:[bind(X_18,$fot(meet(X_101,meet(X_7,X_103))))]]) ).
cnf(refute_0_579,plain,
meet(meet(X_22,meet(Y,X_22)),X_24) = meet(X_22,meet(meet(Y,X_22),X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(meet(Y,X_22))),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_580,plain,
meet(X_22,meet(Y,X_22)) = meet(X_22,Y),
inference(subst,[],[refute_0_115:[bind(X_13,$fot(X_22))]]) ).
cnf(refute_0_581,plain,
( meet(X_22,meet(Y,X_22)) != meet(X_22,Y)
| meet(meet(X_22,meet(Y,X_22)),X_24) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(meet(X_22,Y),X_24) = meet(X_22,meet(meet(Y,X_22),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,meet(Y,X_22)),X_24),meet(X_22,meet(meet(Y,X_22),X_24))) ),[0,0],$fot(meet(X_22,Y))]]) ).
cnf(refute_0_582,plain,
( meet(meet(X_22,meet(Y,X_22)),X_24) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(meet(X_22,Y),X_24) = meet(X_22,meet(meet(Y,X_22),X_24)) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(Y,X_22)),meet(X_22,Y)) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
meet(meet(X_22,Y),X_24) = meet(X_22,meet(meet(Y,X_22),X_24)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,meet(Y,X_22)),X_24),meet(X_22,meet(meet(Y,X_22),X_24))) )],[refute_0_579,refute_0_582]) ).
cnf(refute_0_584,plain,
meet(meet(X_22,Y),X_24) = meet(X_22,meet(Y,X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_585,plain,
( meet(meet(X_22,Y),X_24) != meet(X_22,meet(Y,X_24))
| meet(meet(X_22,Y),X_24) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(X_22,meet(Y,X_24)) = meet(X_22,meet(meet(Y,X_22),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,Y),X_24),meet(X_22,meet(meet(Y,X_22),X_24))) ),[0],$fot(meet(X_22,meet(Y,X_24)))]]) ).
cnf(refute_0_586,plain,
( meet(meet(X_22,Y),X_24) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(X_22,meet(Y,X_24)) = meet(X_22,meet(meet(Y,X_22),X_24)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,Y),X_24),meet(X_22,meet(Y,X_24))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
meet(meet(Y,X_22),X_24) = meet(Y,meet(X_22,X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(Y)),bind(Y,$fot(X_22)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_588,plain,
meet(X_22,meet(meet(Y,X_22),X_24)) = meet(X_22,meet(meet(Y,X_22),X_24)),
introduced(tautology,[refl,[$fot(meet(X_22,meet(meet(Y,X_22),X_24)))]]) ).
cnf(refute_0_589,plain,
( meet(X_22,meet(meet(Y,X_22),X_24)) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(meet(Y,X_22),X_24) != meet(Y,meet(X_22,X_24))
| meet(X_22,meet(meet(Y,X_22),X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_22,meet(meet(Y,X_22),X_24)),meet(X_22,meet(meet(Y,X_22),X_24))) ),[1,1],$fot(meet(Y,meet(X_22,X_24)))]]) ).
cnf(refute_0_590,plain,
( meet(meet(Y,X_22),X_24) != meet(Y,meet(X_22,X_24))
| meet(X_22,meet(meet(Y,X_22),X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(meet(Y,X_22),X_24)),meet(X_22,meet(meet(Y,X_22),X_24))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
meet(X_22,meet(meet(Y,X_22),X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))),
inference(resolve,[$cnf( $equal(meet(meet(Y,X_22),X_24),meet(Y,meet(X_22,X_24))) )],[refute_0_587,refute_0_590]) ).
cnf(refute_0_592,plain,
( meet(X_22,meet(Y,X_24)) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(X_22,meet(meet(Y,X_22),X_24)) != meet(X_22,meet(Y,meet(X_22,X_24)))
| meet(X_22,meet(Y,X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_22,meet(Y,X_24)),meet(X_22,meet(Y,meet(X_22,X_24)))) ),[0],$fot(meet(X_22,meet(meet(Y,X_22),X_24)))]]) ).
cnf(refute_0_593,plain,
( meet(X_22,meet(Y,X_24)) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(X_22,meet(Y,X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(meet(Y,X_22),X_24)),meet(X_22,meet(Y,meet(X_22,X_24)))) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
( meet(meet(X_22,Y),X_24) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(X_22,meet(Y,X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(Y,X_24)),meet(X_22,meet(meet(Y,X_22),X_24))) )],[refute_0_586,refute_0_593]) ).
cnf(refute_0_595,plain,
meet(X_22,meet(Y,X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))),
inference(resolve,[$cnf( $equal(meet(meet(X_22,Y),X_24),meet(X_22,meet(meet(Y,X_22),X_24))) )],[refute_0_583,refute_0_594]) ).
cnf(refute_0_596,plain,
meet(X_7,meet(X_101,X_103)) = meet(X_7,meet(X_101,meet(X_7,X_103))),
inference(subst,[],[refute_0_595:[bind(Y,$fot(X_101)),bind(X_22,$fot(X_7)),bind(X_24,$fot(X_103))]]) ).
cnf(refute_0_597,plain,
( meet(X_7,meet(X_101,X_103)) != meet(X_7,meet(X_101,meet(X_7,X_103)))
| meet(X_7,meet(X_101,meet(X_7,X_103))) = meet(X_7,meet(X_101,X_103)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_7,meet(X_101,X_103)))),bind(Y0,$fot(meet(X_7,meet(X_101,meet(X_7,X_103)))))]]) ).
cnf(refute_0_598,plain,
meet(X_7,meet(X_101,meet(X_7,X_103))) = meet(X_7,meet(X_101,X_103)),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_101,X_103)),meet(X_7,meet(X_101,meet(X_7,X_103)))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
( join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,meet(X_7,X_103)))) != meet(meet(X_101,meet(X_7,X_103)),X_7)
| meet(X_7,meet(X_101,meet(X_7,X_103))) != meet(X_7,meet(X_101,X_103))
| join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) = meet(meet(X_101,meet(X_7,X_103)),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,meet(X_7,X_103)))),meet(meet(X_101,meet(X_7,X_103)),X_7)) ),[0,1],$fot(meet(X_7,meet(X_101,X_103)))]]) ).
cnf(refute_0_600,plain,
( join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,meet(X_7,X_103)))) != meet(meet(X_101,meet(X_7,X_103)),X_7)
| join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) = meet(meet(X_101,meet(X_7,X_103)),X_7) ),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_101,meet(X_7,X_103))),meet(X_7,meet(X_101,X_103))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) = meet(meet(X_101,meet(X_7,X_103)),X_7),
inference(resolve,[$cnf( $equal(join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,meet(X_7,X_103)))),meet(meet(X_101,meet(X_7,X_103)),X_7)) )],[refute_0_578,refute_0_600]) ).
cnf(refute_0_602,plain,
join(meet(Y,X_33),meet(X_32,meet(X_33,meet(Y,X_33)))) = meet(Y,X_33),
inference(subst,[],[refute_0_138:[bind(X_22,$fot(X_32)),bind(X_23,$fot(X_33)),bind(X_6,$fot(meet(Y,X_33)))]]) ).
cnf(refute_0_603,plain,
meet(X_33,meet(Y,X_33)) = meet(X_33,Y),
inference(subst,[],[refute_0_115:[bind(X_13,$fot(X_33))]]) ).
cnf(refute_0_604,plain,
( join(meet(Y,X_33),meet(X_32,meet(X_33,meet(Y,X_33)))) != meet(Y,X_33)
| meet(X_33,meet(Y,X_33)) != meet(X_33,Y)
| join(meet(Y,X_33),meet(X_32,meet(X_33,Y))) = meet(Y,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,X_33),meet(X_32,meet(X_33,meet(Y,X_33)))),meet(Y,X_33)) ),[0,1,1],$fot(meet(X_33,Y))]]) ).
cnf(refute_0_605,plain,
( join(meet(Y,X_33),meet(X_32,meet(X_33,meet(Y,X_33)))) != meet(Y,X_33)
| join(meet(Y,X_33),meet(X_32,meet(X_33,Y))) = meet(Y,X_33) ),
inference(resolve,[$cnf( $equal(meet(X_33,meet(Y,X_33)),meet(X_33,Y)) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
join(meet(Y,X_33),meet(X_32,meet(X_33,Y))) = meet(Y,X_33),
inference(resolve,[$cnf( $equal(join(meet(Y,X_33),meet(X_32,meet(X_33,meet(Y,X_33)))),meet(Y,X_33)) )],[refute_0_602,refute_0_605]) ).
cnf(refute_0_607,plain,
join(meet(X_89,meet(X,Y)),meet(X_90,meet(meet(X,Y),X_89))) = meet(X_89,meet(X,Y)),
inference(subst,[],[refute_0_606:[bind(Y,$fot(X_89)),bind(X_32,$fot(X_90)),bind(X_33,$fot(meet(X,Y)))]]) ).
cnf(refute_0_608,plain,
meet(meet(X,Y),X_89) = meet(X,meet(Y,X_89)),
inference(subst,[],[associativity_of_meet:[bind(Z,$fot(X_89))]]) ).
cnf(refute_0_609,plain,
( join(meet(X_89,meet(X,Y)),meet(X_90,meet(meet(X,Y),X_89))) != meet(X_89,meet(X,Y))
| meet(meet(X,Y),X_89) != meet(X,meet(Y,X_89))
| join(meet(X_89,meet(X,Y)),meet(X_90,meet(X,meet(Y,X_89)))) = meet(X_89,meet(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_89,meet(X,Y)),meet(X_90,meet(meet(X,Y),X_89))),meet(X_89,meet(X,Y))) ),[0,1,1],$fot(meet(X,meet(Y,X_89)))]]) ).
cnf(refute_0_610,plain,
( join(meet(X_89,meet(X,Y)),meet(X_90,meet(meet(X,Y),X_89))) != meet(X_89,meet(X,Y))
| join(meet(X_89,meet(X,Y)),meet(X_90,meet(X,meet(Y,X_89)))) = meet(X_89,meet(X,Y)) ),
inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_89),meet(X,meet(Y,X_89))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
join(meet(X_89,meet(X,Y)),meet(X_90,meet(X,meet(Y,X_89)))) = meet(X_89,meet(X,Y)),
inference(resolve,[$cnf( $equal(join(meet(X_89,meet(X,Y)),meet(X_90,meet(meet(X,Y),X_89))),meet(X_89,meet(X,Y))) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
join(meet(X_103,meet(X_101,X_7)),meet(X_7,meet(X_101,meet(X_7,X_103)))) = meet(X_103,meet(X_101,X_7)),
inference(subst,[],[refute_0_611:[bind(X,$fot(X_101)),bind(Y,$fot(X_7)),bind(X_89,$fot(X_103)),bind(X_90,$fot(X_7))]]) ).
cnf(refute_0_613,plain,
join(X_27,X_26) = join(X_26,X_27),
inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_27)),bind(Y,$fot(X_26))]]) ).
cnf(refute_0_614,plain,
( join(X_27,X_26) != join(X_26,X_27)
| join(X_26,X_27) = join(X_27,X_26) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_27,X_26))),bind(Y0,$fot(join(X_26,X_27)))]]) ).
cnf(refute_0_615,plain,
join(X_26,X_27) = join(X_27,X_26),
inference(resolve,[$cnf( $equal(join(X_27,X_26),join(X_26,X_27)) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
( join(X_26,X_27) != join(X_27,X_26)
| join(join(X_25,X_26),X_27) != join(X_25,join(X_26,X_27))
| join(join(X_25,X_26),X_27) = join(X_25,join(X_27,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,X_26),X_27),join(X_25,join(X_26,X_27))) ),[1,1],$fot(join(X_27,X_26))]]) ).
cnf(refute_0_617,plain,
( join(join(X_25,X_26),X_27) != join(X_25,join(X_26,X_27))
| join(join(X_25,X_26),X_27) = join(X_25,join(X_27,X_26)) ),
inference(resolve,[$cnf( $equal(join(X_26,X_27),join(X_27,X_26)) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
join(join(X_25,X_26),X_27) = join(X_25,join(X_27,X_26)),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),X_27),join(X_25,join(X_26,X_27))) )],[refute_0_364,refute_0_617]) ).
cnf(refute_0_619,plain,
( join(join(X_25,X_26),X_27) != join(X_25,join(X_26,X_27))
| join(join(X_25,X_26),X_27) != join(X_25,join(X_27,X_26))
| join(X_25,join(X_26,X_27)) = join(X_25,join(X_27,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,X_26),X_27),join(X_25,join(X_27,X_26))) ),[0],$fot(join(X_25,join(X_26,X_27)))]]) ).
cnf(refute_0_620,plain,
( join(join(X_25,X_26),X_27) != join(X_25,join(X_27,X_26))
| join(X_25,join(X_26,X_27)) = join(X_25,join(X_27,X_26)) ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),X_27),join(X_25,join(X_26,X_27))) )],[refute_0_364,refute_0_619]) ).
cnf(refute_0_621,plain,
join(X_25,join(X_26,X_27)) = join(X_25,join(X_27,X_26)),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),X_27),join(X_25,join(X_27,X_26))) )],[refute_0_618,refute_0_620]) ).
cnf(refute_0_622,plain,
join(X_95,join(meet(X_18,X_7),meet(X_7,X_18))) = join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))),
inference(subst,[],[refute_0_621:[bind(X_25,$fot(X_95)),bind(X_26,$fot(meet(X_18,X_7))),bind(X_27,$fot(meet(X_7,X_18)))]]) ).
cnf(refute_0_623,plain,
( join(X_95,join(meet(X_18,X_7),meet(X_7,X_18))) != join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))
| join(meet(X_18,X_7),meet(X_7,X_18)) != meet(X_18,X_7)
| join(X_95,meet(X_18,X_7)) = join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_95,join(meet(X_18,X_7),meet(X_7,X_18))),join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))) ),[0,1],$fot(meet(X_18,X_7))]]) ).
cnf(refute_0_624,plain,
( join(X_95,join(meet(X_18,X_7),meet(X_7,X_18))) != join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))
| join(X_95,meet(X_18,X_7)) = join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),meet(X_7,X_18)),meet(X_18,X_7)) )],[refute_0_449,refute_0_623]) ).
cnf(refute_0_625,plain,
join(X_95,meet(X_18,X_7)) = join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))),
inference(resolve,[$cnf( $equal(join(X_95,join(meet(X_18,X_7),meet(X_7,X_18))),join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))) )],[refute_0_622,refute_0_624]) ).
cnf(refute_0_626,plain,
join(meet(X_7,X_18),meet(X_18,X_7)) = meet(X_7,X_18),
inference(subst,[],[refute_0_449:[bind(X_18,$fot(X_7)),bind(X_7,$fot(X_18))]]) ).
cnf(refute_0_627,plain,
join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))) = join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))),
introduced(tautology,[refl,[$fot(join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))))]]) ).
cnf(refute_0_628,plain,
( join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))) != join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))
| join(meet(X_7,X_18),meet(X_18,X_7)) != meet(X_7,X_18)
| join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))) = join(X_95,meet(X_7,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))),join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))) ),[1,1],$fot(meet(X_7,X_18))]]) ).
cnf(refute_0_629,plain,
( join(meet(X_7,X_18),meet(X_18,X_7)) != meet(X_7,X_18)
| join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))) = join(X_95,meet(X_7,X_18)) ),
inference(resolve,[$cnf( $equal(join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))),join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))) = join(X_95,meet(X_7,X_18)),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_18),meet(X_18,X_7)),meet(X_7,X_18)) )],[refute_0_626,refute_0_629]) ).
cnf(refute_0_631,plain,
( join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))) != join(X_95,meet(X_7,X_18))
| join(X_95,meet(X_18,X_7)) != join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))
| join(X_95,meet(X_18,X_7)) = join(X_95,meet(X_7,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_95,meet(X_18,X_7)),join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))) ),[1],$fot(join(X_95,meet(X_7,X_18)))]]) ).
cnf(refute_0_632,plain,
( join(X_95,meet(X_18,X_7)) != join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))
| join(X_95,meet(X_18,X_7)) = join(X_95,meet(X_7,X_18)) ),
inference(resolve,[$cnf( $equal(join(X_95,join(meet(X_7,X_18),meet(X_18,X_7))),join(X_95,meet(X_7,X_18))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
join(X_95,meet(X_18,X_7)) = join(X_95,meet(X_7,X_18)),
inference(resolve,[$cnf( $equal(join(X_95,meet(X_18,X_7)),join(X_95,join(meet(X_7,X_18),meet(X_18,X_7)))) )],[refute_0_625,refute_0_632]) ).
cnf(refute_0_634,plain,
( join(X_95,meet(X_18,X_7)) != join(X_95,meet(X_7,X_18))
| join(X_95,meet(X_7,X_18)) = join(X_95,meet(X_18,X_7)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_95,meet(X_18,X_7)))),bind(Y0,$fot(join(X_95,meet(X_7,X_18))))]]) ).
cnf(refute_0_635,plain,
join(X_95,meet(X_7,X_18)) = join(X_95,meet(X_18,X_7)),
inference(resolve,[$cnf( $equal(join(X_95,meet(X_18,X_7)),join(X_95,meet(X_7,X_18))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)) = join(meet(X_103,meet(X_101,X_7)),meet(X_7,meet(X_101,meet(X_7,X_103)))),
inference(subst,[],[refute_0_635:[bind(X_18,$fot(X_7)),bind(X_7,$fot(meet(X_101,meet(X_7,X_103)))),bind(X_95,$fot(meet(X_103,meet(X_101,X_7))))]]) ).
cnf(refute_0_637,plain,
( join(meet(X_103,meet(X_101,X_7)),meet(X_7,meet(X_101,meet(X_7,X_103)))) != meet(X_103,meet(X_101,X_7))
| join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)) != join(meet(X_103,meet(X_101,X_7)),meet(X_7,meet(X_101,meet(X_7,X_103))))
| join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)) = meet(X_103,meet(X_101,X_7)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)))),bind(Y0,$fot(join(meet(X_103,meet(X_101,X_7)),meet(X_7,meet(X_101,meet(X_7,X_103)))))),bind(Z0,$fot(meet(X_103,meet(X_101,X_7))))]]) ).
cnf(refute_0_638,plain,
( join(meet(X_103,meet(X_101,X_7)),meet(X_7,meet(X_101,meet(X_7,X_103)))) != meet(X_103,meet(X_101,X_7))
| join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)) = meet(X_103,meet(X_101,X_7)) ),
inference(resolve,[$cnf( $equal(join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)),join(meet(X_103,meet(X_101,X_7)),meet(X_7,meet(X_101,meet(X_7,X_103))))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)) = meet(X_103,meet(X_101,X_7)),
inference(resolve,[$cnf( $equal(join(meet(X_103,meet(X_101,X_7)),meet(X_7,meet(X_101,meet(X_7,X_103)))),meet(X_103,meet(X_101,X_7))) )],[refute_0_612,refute_0_638]) ).
cnf(refute_0_640,plain,
join(X_74,meet(meet(X_86,X_88),X_18)) = join(meet(X_18,meet(X_86,X_88)),X_74),
inference(subst,[],[refute_0_464:[bind(X_7,$fot(meet(X_86,X_88)))]]) ).
cnf(refute_0_641,plain,
meet(meet(X_22,join(Y,X_22)),X_24) = meet(X_22,meet(join(Y,X_22),X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(join(Y,X_22))),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_642,plain,
meet(X_22,join(Y,X_22)) = X_22,
inference(subst,[],[refute_0_2:[bind(X,$fot(X_22))]]) ).
cnf(refute_0_643,plain,
( meet(X_22,join(Y,X_22)) != X_22
| meet(meet(X_22,join(Y,X_22)),X_24) != meet(X_22,meet(join(Y,X_22),X_24))
| meet(X_22,X_24) = meet(X_22,meet(join(Y,X_22),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,join(Y,X_22)),X_24),meet(X_22,meet(join(Y,X_22),X_24))) ),[0,0],$fot(X_22)]]) ).
cnf(refute_0_644,plain,
( meet(meet(X_22,join(Y,X_22)),X_24) != meet(X_22,meet(join(Y,X_22),X_24))
| meet(X_22,X_24) = meet(X_22,meet(join(Y,X_22),X_24)) ),
inference(resolve,[$cnf( $equal(meet(X_22,join(Y,X_22)),X_22) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
meet(X_22,X_24) = meet(X_22,meet(join(Y,X_22),X_24)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,join(Y,X_22)),X_24),meet(X_22,meet(join(Y,X_22),X_24))) )],[refute_0_641,refute_0_644]) ).
cnf(refute_0_646,plain,
meet(meet(X_77,Y),X_79) = meet(meet(X_77,Y),meet(join(X_77,meet(X_77,Y)),X_79)),
inference(subst,[],[refute_0_645:[bind(Y,$fot(X_77)),bind(X_22,$fot(meet(X_77,Y))),bind(X_24,$fot(X_79))]]) ).
cnf(refute_0_647,plain,
join(X_77,meet(X_77,Y)) = X_77,
inference(subst,[],[absorption2:[bind(X,$fot(X_77))]]) ).
cnf(refute_0_648,plain,
( join(X_77,meet(X_77,Y)) != X_77
| meet(meet(X_77,Y),X_79) != meet(meet(X_77,Y),meet(join(X_77,meet(X_77,Y)),X_79))
| meet(meet(X_77,Y),X_79) = meet(meet(X_77,Y),meet(X_77,X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_77,Y),X_79),meet(meet(X_77,Y),meet(join(X_77,meet(X_77,Y)),X_79))) ),[1,1,0],$fot(X_77)]]) ).
cnf(refute_0_649,plain,
( meet(meet(X_77,Y),X_79) != meet(meet(X_77,Y),meet(join(X_77,meet(X_77,Y)),X_79))
| meet(meet(X_77,Y),X_79) = meet(meet(X_77,Y),meet(X_77,X_79)) ),
inference(resolve,[$cnf( $equal(join(X_77,meet(X_77,Y)),X_77) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
meet(meet(X_77,Y),X_79) = meet(meet(X_77,Y),meet(X_77,X_79)),
inference(resolve,[$cnf( $equal(meet(meet(X_77,Y),X_79),meet(meet(X_77,Y),meet(join(X_77,meet(X_77,Y)),X_79))) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
meet(meet(X_77,Y),X_79) = meet(X_77,meet(Y,X_79)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_77)),bind(Z,$fot(X_79))]]) ).
cnf(refute_0_652,plain,
( meet(meet(X_77,Y),X_79) != meet(X_77,meet(Y,X_79))
| meet(meet(X_77,Y),X_79) != meet(meet(X_77,Y),meet(X_77,X_79))
| meet(X_77,meet(Y,X_79)) = meet(meet(X_77,Y),meet(X_77,X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_77,Y),X_79),meet(meet(X_77,Y),meet(X_77,X_79))) ),[0],$fot(meet(X_77,meet(Y,X_79)))]]) ).
cnf(refute_0_653,plain,
( meet(meet(X_77,Y),X_79) != meet(meet(X_77,Y),meet(X_77,X_79))
| meet(X_77,meet(Y,X_79)) = meet(meet(X_77,Y),meet(X_77,X_79)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_77,Y),X_79),meet(X_77,meet(Y,X_79))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
( meet(X_22,meet(Y,X_24)) != meet(X_22,meet(Y,meet(X_22,X_24)))
| meet(X_22,meet(Y,meet(X_22,X_24))) = meet(X_22,meet(Y,X_24)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_22,meet(Y,X_24)))),bind(Y0,$fot(meet(X_22,meet(Y,meet(X_22,X_24)))))]]) ).
cnf(refute_0_655,plain,
meet(X_22,meet(Y,meet(X_22,X_24))) = meet(X_22,meet(Y,X_24)),
inference(resolve,[$cnf( $equal(meet(X_22,meet(Y,X_24)),meet(X_22,meet(Y,meet(X_22,X_24)))) )],[refute_0_595,refute_0_654]) ).
cnf(refute_0_656,plain,
meet(X_77,meet(X_79,meet(X_77,Y))) = meet(X_77,meet(X_79,Y)),
inference(subst,[],[refute_0_655:[bind(Y,$fot(X_79)),bind(X_22,$fot(X_77)),bind(X_24,$fot(Y))]]) ).
cnf(refute_0_657,plain,
join(meet(meet(X_41,X_43),X_7),meet(X_7,meet(X_41,X_43))) = meet(meet(X_41,X_43),X_7),
inference(subst,[],[refute_0_449:[bind(X_18,$fot(meet(X_41,X_43)))]]) ).
cnf(refute_0_658,plain,
( join(meet(meet(X_41,X_43),X_7),meet(X_7,meet(X_41,X_43))) != meet(meet(X_41,X_43),X_7)
| meet(X_7,meet(X_41,X_43)) != meet(X_41,meet(X_7,X_43))
| join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) = meet(meet(X_41,X_43),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_41,X_43),X_7),meet(X_7,meet(X_41,X_43))),meet(meet(X_41,X_43),X_7)) ),[0,1],$fot(meet(X_41,meet(X_7,X_43)))]]) ).
cnf(refute_0_659,plain,
( join(meet(meet(X_41,X_43),X_7),meet(X_7,meet(X_41,X_43))) != meet(meet(X_41,X_43),X_7)
| join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) = meet(meet(X_41,X_43),X_7) ),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_41,X_43)),meet(X_41,meet(X_7,X_43))) )],[refute_0_572,refute_0_658]) ).
cnf(refute_0_660,plain,
join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) = meet(meet(X_41,X_43),X_7),
inference(resolve,[$cnf( $equal(join(meet(meet(X_41,X_43),X_7),meet(X_7,meet(X_41,X_43))),meet(meet(X_41,X_43),X_7)) )],[refute_0_657,refute_0_659]) ).
cnf(refute_0_661,plain,
join(meet(X_18,meet(X_41,X_43)),meet(meet(X_41,X_43),X_18)) = meet(X_18,meet(X_41,X_43)),
inference(subst,[],[refute_0_449:[bind(X_7,$fot(meet(X_41,X_43)))]]) ).
cnf(refute_0_662,plain,
meet(X_18,meet(X_41,X_43)) = meet(X_41,meet(X_18,X_43)),
inference(subst,[],[refute_0_183:[bind(X_22,$fot(X_41)),bind(X_23,$fot(X_18)),bind(X_24,$fot(X_43))]]) ).
cnf(refute_0_663,plain,
( join(meet(X_18,meet(X_41,X_43)),meet(meet(X_41,X_43),X_18)) != meet(X_18,meet(X_41,X_43))
| meet(X_18,meet(X_41,X_43)) != meet(X_41,meet(X_18,X_43))
| join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) = meet(X_18,meet(X_41,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_18,meet(X_41,X_43)),meet(meet(X_41,X_43),X_18)),meet(X_18,meet(X_41,X_43))) ),[0,0],$fot(meet(X_41,meet(X_18,X_43)))]]) ).
cnf(refute_0_664,plain,
( join(meet(X_18,meet(X_41,X_43)),meet(meet(X_41,X_43),X_18)) != meet(X_18,meet(X_41,X_43))
| join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) = meet(X_18,meet(X_41,X_43)) ),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_41,X_43)),meet(X_41,meet(X_18,X_43))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) = meet(X_18,meet(X_41,X_43)),
inference(resolve,[$cnf( $equal(join(meet(X_18,meet(X_41,X_43)),meet(meet(X_41,X_43),X_18)),meet(X_18,meet(X_41,X_43))) )],[refute_0_661,refute_0_664]) ).
cnf(refute_0_666,plain,
meet(meet(X_41,X_43),X_18) = meet(X_41,meet(X_43,X_18)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_41)),bind(Y,$fot(X_43)),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_667,plain,
join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) = join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)),
introduced(tautology,[refl,[$fot(join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)))]]) ).
cnf(refute_0_668,plain,
( join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) != join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18))
| meet(meet(X_41,X_43),X_18) != meet(X_41,meet(X_43,X_18))
| join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) = join(meet(X_41,meet(X_18,X_43)),meet(X_41,meet(X_43,X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)),join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18))) ),[1,1],$fot(meet(X_41,meet(X_43,X_18)))]]) ).
cnf(refute_0_669,plain,
( meet(meet(X_41,X_43),X_18) != meet(X_41,meet(X_43,X_18))
| join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) = join(meet(X_41,meet(X_18,X_43)),meet(X_41,meet(X_43,X_18))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)),join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18))) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) = join(meet(X_41,meet(X_18,X_43)),meet(X_41,meet(X_43,X_18))),
inference(resolve,[$cnf( $equal(meet(meet(X_41,X_43),X_18),meet(X_41,meet(X_43,X_18))) )],[refute_0_666,refute_0_669]) ).
cnf(refute_0_671,plain,
( join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) != join(meet(X_41,meet(X_18,X_43)),meet(X_41,meet(X_43,X_18)))
| join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) != meet(X_18,meet(X_41,X_43))
| join(meet(X_41,meet(X_18,X_43)),meet(X_41,meet(X_43,X_18))) = meet(X_18,meet(X_41,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)),meet(X_18,meet(X_41,X_43))) ),[0],$fot(join(meet(X_41,meet(X_18,X_43)),meet(X_41,meet(X_43,X_18))))]]) ).
cnf(refute_0_672,plain,
( join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)) != meet(X_18,meet(X_41,X_43))
| join(meet(X_41,meet(X_18,X_43)),meet(X_41,meet(X_43,X_18))) = meet(X_18,meet(X_41,X_43)) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)),join(meet(X_41,meet(X_18,X_43)),meet(X_41,meet(X_43,X_18)))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
join(meet(X_41,meet(X_18,X_43)),meet(X_41,meet(X_43,X_18))) = meet(X_18,meet(X_41,X_43)),
inference(resolve,[$cnf( $equal(join(meet(X_41,meet(X_18,X_43)),meet(meet(X_41,X_43),X_18)),meet(X_18,meet(X_41,X_43))) )],[refute_0_665,refute_0_672]) ).
cnf(refute_0_674,plain,
join(meet(X_41,meet(X_7,X_43)),meet(X_41,meet(X_43,X_7))) = meet(X_7,meet(X_41,X_43)),
inference(subst,[],[refute_0_673:[bind(X_18,$fot(X_7))]]) ).
cnf(refute_0_675,plain,
meet(meet(X_41,X_43),X_7) = meet(X_41,meet(X_43,X_7)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_41)),bind(Y,$fot(X_43)),bind(Z,$fot(X_7))]]) ).
cnf(refute_0_676,plain,
join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) = join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)),
introduced(tautology,[refl,[$fot(join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)))]]) ).
cnf(refute_0_677,plain,
( join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) != join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7))
| meet(meet(X_41,X_43),X_7) != meet(X_41,meet(X_43,X_7))
| join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) = join(meet(X_41,meet(X_7,X_43)),meet(X_41,meet(X_43,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)),join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7))) ),[1,1],$fot(meet(X_41,meet(X_43,X_7)))]]) ).
cnf(refute_0_678,plain,
( meet(meet(X_41,X_43),X_7) != meet(X_41,meet(X_43,X_7))
| join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) = join(meet(X_41,meet(X_7,X_43)),meet(X_41,meet(X_43,X_7))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)),join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) = join(meet(X_41,meet(X_7,X_43)),meet(X_41,meet(X_43,X_7))),
inference(resolve,[$cnf( $equal(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_43,X_7))) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
( join(meet(X_41,meet(X_7,X_43)),meet(X_41,meet(X_43,X_7))) != meet(X_7,meet(X_41,X_43))
| join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) != join(meet(X_41,meet(X_7,X_43)),meet(X_41,meet(X_43,X_7)))
| join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) = meet(X_7,meet(X_41,X_43)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)))),bind(Y0,$fot(join(meet(X_41,meet(X_7,X_43)),meet(X_41,meet(X_43,X_7))))),bind(Z0,$fot(meet(X_7,meet(X_41,X_43))))]]) ).
cnf(refute_0_681,plain,
( join(meet(X_41,meet(X_7,X_43)),meet(X_41,meet(X_43,X_7))) != meet(X_7,meet(X_41,X_43))
| join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) = meet(X_7,meet(X_41,X_43)) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)),join(meet(X_41,meet(X_7,X_43)),meet(X_41,meet(X_43,X_7)))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) = meet(X_7,meet(X_41,X_43)),
inference(resolve,[$cnf( $equal(join(meet(X_41,meet(X_7,X_43)),meet(X_41,meet(X_43,X_7))),meet(X_7,meet(X_41,X_43))) )],[refute_0_674,refute_0_681]) ).
cnf(refute_0_683,plain,
join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) = join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(X_41,meet(X_7,X_43)))),bind(Y,$fot(meet(meet(X_41,X_43),X_7)))]]) ).
cnf(refute_0_684,plain,
( join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) != meet(X_7,meet(X_41,X_43))
| join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) != join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7))
| join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) = meet(X_7,meet(X_41,X_43)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))))),bind(Y0,$fot(join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)))),bind(Z0,$fot(meet(X_7,meet(X_41,X_43))))]]) ).
cnf(refute_0_685,plain,
( join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)) != meet(X_7,meet(X_41,X_43))
| join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) = meet(X_7,meet(X_41,X_43)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))),join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) = meet(X_7,meet(X_41,X_43)),
inference(resolve,[$cnf( $equal(join(meet(X_41,meet(X_7,X_43)),meet(meet(X_41,X_43),X_7)),meet(X_7,meet(X_41,X_43))) )],[refute_0_682,refute_0_685]) ).
cnf(refute_0_687,plain,
( join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) != meet(X_7,meet(X_41,X_43))
| join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) != meet(meet(X_41,X_43),X_7)
| meet(X_7,meet(X_41,X_43)) = meet(meet(X_41,X_43),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))),meet(meet(X_41,X_43),X_7)) ),[0],$fot(meet(X_7,meet(X_41,X_43)))]]) ).
cnf(refute_0_688,plain,
( join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) != meet(meet(X_41,X_43),X_7)
| meet(X_7,meet(X_41,X_43)) = meet(meet(X_41,X_43),X_7) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))),meet(X_7,meet(X_41,X_43))) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
( meet(X_7,meet(X_41,X_43)) != meet(meet(X_41,X_43),X_7)
| meet(meet(X_41,X_43),X_7) != meet(X_41,meet(X_43,X_7))
| meet(X_7,meet(X_41,X_43)) = meet(X_41,meet(X_43,X_7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_7,meet(X_41,X_43)),meet(X_41,meet(X_43,X_7))) ),[0],$fot(meet(meet(X_41,X_43),X_7))]]) ).
cnf(refute_0_690,plain,
( meet(X_7,meet(X_41,X_43)) != meet(meet(X_41,X_43),X_7)
| meet(X_7,meet(X_41,X_43)) = meet(X_41,meet(X_43,X_7)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_43,X_7))) )],[refute_0_675,refute_0_689]) ).
cnf(refute_0_691,plain,
( join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))) != meet(meet(X_41,X_43),X_7)
| meet(X_7,meet(X_41,X_43)) = meet(X_41,meet(X_43,X_7)) ),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_41,X_43)),meet(meet(X_41,X_43),X_7)) )],[refute_0_688,refute_0_690]) ).
cnf(refute_0_692,plain,
meet(X_7,meet(X_41,X_43)) = meet(X_41,meet(X_43,X_7)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_41,X_43),X_7),meet(X_41,meet(X_7,X_43))),meet(meet(X_41,X_43),X_7)) )],[refute_0_660,refute_0_691]) ).
cnf(refute_0_693,plain,
meet(meet(X_77,Y),meet(X_77,X_79)) = meet(X_77,meet(X_79,meet(X_77,Y))),
inference(subst,[],[refute_0_692:[bind(X_41,$fot(X_77)),bind(X_43,$fot(X_79)),bind(X_7,$fot(meet(X_77,Y)))]]) ).
cnf(refute_0_694,plain,
( meet(X_77,meet(X_79,meet(X_77,Y))) != meet(X_77,meet(X_79,Y))
| meet(meet(X_77,Y),meet(X_77,X_79)) != meet(X_77,meet(X_79,meet(X_77,Y)))
| meet(meet(X_77,Y),meet(X_77,X_79)) = meet(X_77,meet(X_79,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_77,Y),meet(X_77,X_79)))),bind(Y0,$fot(meet(X_77,meet(X_79,meet(X_77,Y))))),bind(Z0,$fot(meet(X_77,meet(X_79,Y))))]]) ).
cnf(refute_0_695,plain,
( meet(X_77,meet(X_79,meet(X_77,Y))) != meet(X_77,meet(X_79,Y))
| meet(meet(X_77,Y),meet(X_77,X_79)) = meet(X_77,meet(X_79,Y)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_77,Y),meet(X_77,X_79)),meet(X_77,meet(X_79,meet(X_77,Y)))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
meet(meet(X_77,Y),meet(X_77,X_79)) = meet(X_77,meet(X_79,Y)),
inference(resolve,[$cnf( $equal(meet(X_77,meet(X_79,meet(X_77,Y))),meet(X_77,meet(X_79,Y))) )],[refute_0_656,refute_0_695]) ).
cnf(refute_0_697,plain,
( meet(X_77,meet(Y,X_79)) != meet(meet(X_77,Y),meet(X_77,X_79))
| meet(meet(X_77,Y),meet(X_77,X_79)) != meet(X_77,meet(X_79,Y))
| meet(X_77,meet(Y,X_79)) = meet(X_77,meet(X_79,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_77,meet(Y,X_79)),meet(X_77,meet(X_79,Y))) ),[0],$fot(meet(meet(X_77,Y),meet(X_77,X_79)))]]) ).
cnf(refute_0_698,plain,
( meet(X_77,meet(Y,X_79)) != meet(meet(X_77,Y),meet(X_77,X_79))
| meet(X_77,meet(Y,X_79)) = meet(X_77,meet(X_79,Y)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_77,Y),meet(X_77,X_79)),meet(X_77,meet(X_79,Y))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
( meet(meet(X_77,Y),X_79) != meet(meet(X_77,Y),meet(X_77,X_79))
| meet(X_77,meet(Y,X_79)) = meet(X_77,meet(X_79,Y)) ),
inference(resolve,[$cnf( $equal(meet(X_77,meet(Y,X_79)),meet(meet(X_77,Y),meet(X_77,X_79))) )],[refute_0_653,refute_0_698]) ).
cnf(refute_0_700,plain,
meet(X_77,meet(Y,X_79)) = meet(X_77,meet(X_79,Y)),
inference(resolve,[$cnf( $equal(meet(meet(X_77,Y),X_79),meet(meet(X_77,Y),meet(X_77,X_79))) )],[refute_0_650,refute_0_699]) ).
cnf(refute_0_701,plain,
meet(X_18,meet(X_86,X_88)) = meet(X_18,meet(X_88,X_86)),
inference(subst,[],[refute_0_700:[bind(Y,$fot(X_86)),bind(X_77,$fot(X_18)),bind(X_79,$fot(X_88))]]) ).
cnf(refute_0_702,plain,
( join(X_74,meet(meet(X_86,X_88),X_18)) != join(meet(X_18,meet(X_86,X_88)),X_74)
| meet(X_18,meet(X_86,X_88)) != meet(X_18,meet(X_88,X_86))
| join(X_74,meet(meet(X_86,X_88),X_18)) = join(meet(X_18,meet(X_88,X_86)),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_74,meet(meet(X_86,X_88),X_18)),join(meet(X_18,meet(X_86,X_88)),X_74)) ),[1,0],$fot(meet(X_18,meet(X_88,X_86)))]]) ).
cnf(refute_0_703,plain,
( join(X_74,meet(meet(X_86,X_88),X_18)) != join(meet(X_18,meet(X_86,X_88)),X_74)
| join(X_74,meet(meet(X_86,X_88),X_18)) = join(meet(X_18,meet(X_88,X_86)),X_74) ),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_86,X_88)),meet(X_18,meet(X_88,X_86))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
join(X_74,meet(meet(X_86,X_88),X_18)) = join(meet(X_18,meet(X_88,X_86)),X_74),
inference(resolve,[$cnf( $equal(join(X_74,meet(meet(X_86,X_88),X_18)),join(meet(X_18,meet(X_86,X_88)),X_74)) )],[refute_0_640,refute_0_703]) ).
cnf(refute_0_705,plain,
meet(meet(X_86,X_88),X_18) = meet(X_86,meet(X_88,X_18)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_86)),bind(Y,$fot(X_88)),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_706,plain,
join(X_74,meet(meet(X_86,X_88),X_18)) = join(X_74,meet(meet(X_86,X_88),X_18)),
introduced(tautology,[refl,[$fot(join(X_74,meet(meet(X_86,X_88),X_18)))]]) ).
cnf(refute_0_707,plain,
( join(X_74,meet(meet(X_86,X_88),X_18)) != join(X_74,meet(meet(X_86,X_88),X_18))
| meet(meet(X_86,X_88),X_18) != meet(X_86,meet(X_88,X_18))
| join(X_74,meet(meet(X_86,X_88),X_18)) = join(X_74,meet(X_86,meet(X_88,X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_74,meet(meet(X_86,X_88),X_18)),join(X_74,meet(meet(X_86,X_88),X_18))) ),[1,1],$fot(meet(X_86,meet(X_88,X_18)))]]) ).
cnf(refute_0_708,plain,
( meet(meet(X_86,X_88),X_18) != meet(X_86,meet(X_88,X_18))
| join(X_74,meet(meet(X_86,X_88),X_18)) = join(X_74,meet(X_86,meet(X_88,X_18))) ),
inference(resolve,[$cnf( $equal(join(X_74,meet(meet(X_86,X_88),X_18)),join(X_74,meet(meet(X_86,X_88),X_18))) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
join(X_74,meet(meet(X_86,X_88),X_18)) = join(X_74,meet(X_86,meet(X_88,X_18))),
inference(resolve,[$cnf( $equal(meet(meet(X_86,X_88),X_18),meet(X_86,meet(X_88,X_18))) )],[refute_0_705,refute_0_708]) ).
cnf(refute_0_710,plain,
( join(X_74,meet(meet(X_86,X_88),X_18)) != join(X_74,meet(X_86,meet(X_88,X_18)))
| join(X_74,meet(meet(X_86,X_88),X_18)) != join(meet(X_18,meet(X_88,X_86)),X_74)
| join(X_74,meet(X_86,meet(X_88,X_18))) = join(meet(X_18,meet(X_88,X_86)),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_74,meet(meet(X_86,X_88),X_18)),join(meet(X_18,meet(X_88,X_86)),X_74)) ),[0],$fot(join(X_74,meet(X_86,meet(X_88,X_18))))]]) ).
cnf(refute_0_711,plain,
( join(X_74,meet(meet(X_86,X_88),X_18)) != join(meet(X_18,meet(X_88,X_86)),X_74)
| join(X_74,meet(X_86,meet(X_88,X_18))) = join(meet(X_18,meet(X_88,X_86)),X_74) ),
inference(resolve,[$cnf( $equal(join(X_74,meet(meet(X_86,X_88),X_18)),join(X_74,meet(X_86,meet(X_88,X_18)))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
join(X_74,meet(X_86,meet(X_88,X_18))) = join(meet(X_18,meet(X_88,X_86)),X_74),
inference(resolve,[$cnf( $equal(join(X_74,meet(meet(X_86,X_88),X_18)),join(meet(X_18,meet(X_88,X_86)),X_74)) )],[refute_0_704,refute_0_711]) ).
cnf(refute_0_713,plain,
join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) = join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)),
inference(subst,[],[refute_0_712:[bind(X_18,$fot(X_103)),bind(X_74,$fot(meet(meet(X_101,meet(X_7,X_103)),X_7))),bind(X_86,$fot(X_7)),bind(X_88,$fot(X_101))]]) ).
cnf(refute_0_714,plain,
( join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)) != meet(X_103,meet(X_101,X_7))
| join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) != join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7))
| join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) = meet(X_103,meet(X_101,X_7)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))))),bind(Y0,$fot(join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)))),bind(Z0,$fot(meet(X_103,meet(X_101,X_7))))]]) ).
cnf(refute_0_715,plain,
( join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)) != meet(X_103,meet(X_101,X_7))
| join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) = meet(X_103,meet(X_101,X_7)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))),join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) = meet(X_103,meet(X_101,X_7)),
inference(resolve,[$cnf( $equal(join(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)),meet(X_103,meet(X_101,X_7))) )],[refute_0_639,refute_0_715]) ).
cnf(refute_0_717,plain,
( join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) != meet(X_103,meet(X_101,X_7))
| join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) != meet(meet(X_101,meet(X_7,X_103)),X_7)
| meet(X_103,meet(X_101,X_7)) = meet(meet(X_101,meet(X_7,X_103)),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))),meet(meet(X_101,meet(X_7,X_103)),X_7)) ),[0],$fot(meet(X_103,meet(X_101,X_7)))]]) ).
cnf(refute_0_718,plain,
( join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) != meet(meet(X_101,meet(X_7,X_103)),X_7)
| meet(X_103,meet(X_101,X_7)) = meet(meet(X_101,meet(X_7,X_103)),X_7) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))),meet(X_103,meet(X_101,X_7))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(join(meet(X_18,X_7),meet(X_7,X_18)),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(X_7,X_18))),bind(Y,$fot(X_36)),bind(Z,$fot(meet(X_18,X_7)))]]) ).
cnf(refute_0_720,plain,
( join(meet(X_18,X_7),meet(X_7,X_18)) != meet(X_18,X_7)
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != meet(join(meet(X_18,X_7),meet(X_7,X_18)),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))),meet(join(meet(X_18,X_7),meet(X_7,X_18)),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) ),[1,0],$fot(meet(X_18,X_7))]]) ).
cnf(refute_0_721,plain,
( join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != meet(join(meet(X_18,X_7),meet(X_7,X_18)),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),meet(X_7,X_18)),meet(X_18,X_7)) )],[refute_0_449,refute_0_720]) ).
cnf(refute_0_722,plain,
join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))),meet(join(meet(X_18,X_7),meet(X_7,X_18)),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) )],[refute_0_719,refute_0_721]) ).
cnf(refute_0_723,plain,
meet(meet(X_7,X_18),X_36) = meet(X_7,meet(X_18,X_36)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_7)),bind(Y,$fot(X_18)),bind(Z,$fot(X_36))]]) ).
cnf(refute_0_724,plain,
join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)) = join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)),
introduced(tautology,[refl,[$fot(join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))]]) ).
cnf(refute_0_725,plain,
( join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)) != join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))
| meet(meet(X_7,X_18),X_36) != meet(X_7,meet(X_18,X_36))
| join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)) = join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)),join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))) ),[1,1],$fot(meet(X_7,meet(X_18,X_36)))]]) ).
cnf(refute_0_726,plain,
( meet(meet(X_7,X_18),X_36) != meet(X_7,meet(X_18,X_36))
| join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)) = join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)),join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)) = join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))),
inference(resolve,[$cnf( $equal(meet(meet(X_7,X_18),X_36),meet(X_7,meet(X_18,X_36))) )],[refute_0_723,refute_0_726]) ).
cnf(refute_0_728,plain,
meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))) = meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))),
introduced(tautology,[refl,[$fot(meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))]]) ).
cnf(refute_0_729,plain,
( join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)) != join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))
| meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))) != meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))
| meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))) = meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) ),[1,1],$fot(join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))]]) ).
cnf(refute_0_730,plain,
( join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)) != join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))
| meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))) = meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))) ),
inference(resolve,[$cnf( $equal(meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))) = meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)),join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))) )],[refute_0_727,refute_0_730]) ).
cnf(refute_0_732,plain,
join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),
introduced(tautology,[refl,[$fot(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))))]]) ).
cnf(refute_0_733,plain,
( join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) != join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))
| meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))) != meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))) ),[1,1],$fot(meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))]]) ).
cnf(refute_0_734,plain,
( meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))) != meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),
inference(resolve,[$cnf( $equal(meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) )],[refute_0_731,refute_0_734]) ).
cnf(refute_0_736,plain,
meet(X_18,X_18) = X_18,
inference(subst,[],[idempotence_of_meet:[bind(X,$fot(X_18))]]) ).
cnf(refute_0_737,plain,
meet(X_7,meet(X_18,X_18)) = meet(X_7,meet(X_18,X_18)),
introduced(tautology,[refl,[$fot(meet(X_7,meet(X_18,X_18)))]]) ).
cnf(refute_0_738,plain,
( meet(X_18,X_18) != X_18
| meet(X_7,meet(X_18,X_18)) != meet(X_7,meet(X_18,X_18))
| meet(X_7,meet(X_18,X_18)) = meet(X_7,X_18) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_7,meet(X_18,X_18)),meet(X_7,meet(X_18,X_18))) ),[1,1],$fot(X_18)]]) ).
cnf(refute_0_739,plain,
( meet(X_18,X_18) != X_18
| meet(X_7,meet(X_18,X_18)) = meet(X_7,X_18) ),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_18,X_18)),meet(X_7,meet(X_18,X_18))) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
meet(X_7,meet(X_18,X_18)) = meet(X_7,X_18),
inference(resolve,[$cnf( $equal(meet(X_18,X_18),X_18) )],[refute_0_736,refute_0_739]) ).
cnf(refute_0_741,plain,
meet(X_13,meet(meet(X_22,X_23),X_13)) = meet(X_13,meet(X_22,X_23)),
inference(subst,[],[refute_0_115:[bind(Y,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_742,plain,
meet(meet(X_22,X_23),X_13) = meet(X_22,meet(X_23,X_13)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(X_13))]]) ).
cnf(refute_0_743,plain,
( meet(X_13,meet(meet(X_22,X_23),X_13)) != meet(X_13,meet(X_22,X_23))
| meet(meet(X_22,X_23),X_13) != meet(X_22,meet(X_23,X_13))
| meet(X_13,meet(X_22,meet(X_23,X_13))) = meet(X_13,meet(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_13,meet(meet(X_22,X_23),X_13)),meet(X_13,meet(X_22,X_23))) ),[0,1],$fot(meet(X_22,meet(X_23,X_13)))]]) ).
cnf(refute_0_744,plain,
( meet(X_13,meet(meet(X_22,X_23),X_13)) != meet(X_13,meet(X_22,X_23))
| meet(X_13,meet(X_22,meet(X_23,X_13))) = meet(X_13,meet(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_13),meet(X_22,meet(X_23,X_13))) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
meet(X_13,meet(X_22,meet(X_23,X_13))) = meet(X_13,meet(X_22,X_23)),
inference(resolve,[$cnf( $equal(meet(X_13,meet(meet(X_22,X_23),X_13)),meet(X_13,meet(X_22,X_23))) )],[refute_0_741,refute_0_744]) ).
cnf(refute_0_746,plain,
meet(X_7,meet(X_18,meet(X_18,X_7))) = meet(X_7,meet(X_18,X_18)),
inference(subst,[],[refute_0_745:[bind(X_13,$fot(X_7)),bind(X_22,$fot(X_18)),bind(X_23,$fot(X_18))]]) ).
cnf(refute_0_747,plain,
meet(X_7,meet(meet(X_18,X_7),X_18)) = meet(X_7,meet(X_18,meet(X_18,X_7))),
inference(subst,[],[refute_0_172:[bind(Y,$fot(X_18)),bind(X_32,$fot(X_7)),bind(X_33,$fot(meet(X_18,X_7)))]]) ).
cnf(refute_0_748,plain,
( meet(X_7,meet(X_18,meet(X_18,X_7))) != meet(X_7,meet(X_18,X_18))
| meet(X_7,meet(meet(X_18,X_7),X_18)) != meet(X_7,meet(X_18,meet(X_18,X_7)))
| meet(X_7,meet(meet(X_18,X_7),X_18)) = meet(X_7,meet(X_18,X_18)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_7,meet(meet(X_18,X_7),X_18)))),bind(Y0,$fot(meet(X_7,meet(X_18,meet(X_18,X_7))))),bind(Z0,$fot(meet(X_7,meet(X_18,X_18))))]]) ).
cnf(refute_0_749,plain,
( meet(X_7,meet(X_18,meet(X_18,X_7))) != meet(X_7,meet(X_18,X_18))
| meet(X_7,meet(meet(X_18,X_7),X_18)) = meet(X_7,meet(X_18,X_18)) ),
inference(resolve,[$cnf( $equal(meet(X_7,meet(meet(X_18,X_7),X_18)),meet(X_7,meet(X_18,meet(X_18,X_7)))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
meet(X_7,meet(meet(X_18,X_7),X_18)) = meet(X_7,meet(X_18,X_18)),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_18,meet(X_18,X_7))),meet(X_7,meet(X_18,X_18))) )],[refute_0_746,refute_0_749]) ).
cnf(refute_0_751,plain,
meet(meet(X_18,X_7),meet(X_7,X_18)) = meet(X_7,meet(meet(X_18,X_7),X_18)),
inference(subst,[],[refute_0_185:[bind(X_22,$fot(meet(X_18,X_7))),bind(X_23,$fot(X_7)),bind(X_24,$fot(X_18))]]) ).
cnf(refute_0_752,plain,
( meet(X_7,meet(meet(X_18,X_7),X_18)) != meet(X_7,meet(X_18,X_18))
| meet(meet(X_18,X_7),meet(X_7,X_18)) != meet(X_7,meet(meet(X_18,X_7),X_18))
| meet(meet(X_18,X_7),meet(X_7,X_18)) = meet(X_7,meet(X_18,X_18)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_18,X_7),meet(X_7,X_18)))),bind(Y0,$fot(meet(X_7,meet(meet(X_18,X_7),X_18)))),bind(Z0,$fot(meet(X_7,meet(X_18,X_18))))]]) ).
cnf(refute_0_753,plain,
( meet(X_7,meet(meet(X_18,X_7),X_18)) != meet(X_7,meet(X_18,X_18))
| meet(meet(X_18,X_7),meet(X_7,X_18)) = meet(X_7,meet(X_18,X_18)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_7,meet(meet(X_18,X_7),X_18))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
meet(meet(X_18,X_7),meet(X_7,X_18)) = meet(X_7,meet(X_18,X_18)),
inference(resolve,[$cnf( $equal(meet(X_7,meet(meet(X_18,X_7),X_18)),meet(X_7,meet(X_18,X_18))) )],[refute_0_750,refute_0_753]) ).
cnf(refute_0_755,plain,
( meet(X_7,meet(X_18,X_18)) != meet(X_7,X_18)
| meet(meet(X_18,X_7),meet(X_7,X_18)) != meet(X_7,meet(X_18,X_18))
| meet(meet(X_18,X_7),meet(X_7,X_18)) = meet(X_7,X_18) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_18,X_7),meet(X_7,X_18)))),bind(Y0,$fot(meet(X_7,meet(X_18,X_18)))),bind(Z0,$fot(meet(X_7,X_18)))]]) ).
cnf(refute_0_756,plain,
( meet(X_7,meet(X_18,X_18)) != meet(X_7,X_18)
| meet(meet(X_18,X_7),meet(X_7,X_18)) = meet(X_7,X_18) ),
inference(resolve,[$cnf( $equal(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_7,meet(X_18,X_18))) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
meet(meet(X_18,X_7),meet(X_7,X_18)) = meet(X_7,X_18),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_18,X_18)),meet(X_7,X_18)) )],[refute_0_740,refute_0_756]) ).
cnf(refute_0_758,plain,
join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),
introduced(tautology,[refl,[$fot(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))))]]) ).
cnf(refute_0_759,plain,
( join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) != join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))
| meet(meet(X_18,X_7),meet(X_7,X_18)) != meet(X_7,X_18)
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))) ),[1,0],$fot(meet(X_7,X_18))]]) ).
cnf(refute_0_760,plain,
( meet(meet(X_18,X_7),meet(X_7,X_18)) != meet(X_7,X_18)
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),
inference(resolve,[$cnf( $equal(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_7,X_18)) )],[refute_0_757,refute_0_760]) ).
cnf(refute_0_762,plain,
( join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) != join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) != join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))))),bind(Y0,$fot(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))))),bind(Z0,$fot(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))))]]) ).
cnf(refute_0_763,plain,
( join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) != join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))) )],[refute_0_735,refute_0_763]) ).
cnf(refute_0_765,plain,
join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),
inference(subst,[],[refute_0_270:[bind(X_35,$fot(meet(X_7,X_18))),bind(X_37,$fot(meet(X_18,X_7)))]]) ).
cnf(refute_0_766,plain,
( join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) != join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))))),bind(Y0,$fot(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))))),bind(Z0,$fot(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))))]]) ).
cnf(refute_0_767,plain,
( join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))) != join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))),join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36))))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(X_18,X_7),meet(meet(X_7,X_18),X_36)))),join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))) )],[refute_0_764,refute_0_767]) ).
cnf(refute_0_769,plain,
( join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))
| join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))),meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) ),[0],$fot(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))))]]) ).
cnf(refute_0_770,plain,
( join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))),join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
meet(X_18,meet(join(meet(X_7,X_18),X_36),X_7)) = meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))),
inference(subst,[],[refute_0_172:[bind(Y,$fot(X_7)),bind(X_32,$fot(X_18)),bind(X_33,$fot(join(meet(X_7,X_18),X_36)))]]) ).
cnf(refute_0_772,plain,
meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)) = meet(X_18,meet(join(meet(X_7,X_18),X_36),X_7)),
inference(subst,[],[refute_0_185:[bind(X_22,$fot(join(meet(X_7,X_18),X_36))),bind(X_23,$fot(X_18)),bind(X_24,$fot(X_7))]]) ).
cnf(refute_0_773,plain,
( meet(X_18,meet(join(meet(X_7,X_18),X_36),X_7)) != meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))
| meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)) != meet(X_18,meet(join(meet(X_7,X_18),X_36),X_7))
| meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)) = meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))),bind(Y0,$fot(meet(X_18,meet(join(meet(X_7,X_18),X_36),X_7)))),bind(Z0,$fot(meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))]]) ).
cnf(refute_0_774,plain,
( meet(X_18,meet(join(meet(X_7,X_18),X_36),X_7)) != meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))
| meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)) = meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)),meet(X_18,meet(join(meet(X_7,X_18),X_36),X_7))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)) = meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))),
inference(resolve,[$cnf( $equal(meet(X_18,meet(join(meet(X_7,X_18),X_36),X_7)),meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) )],[refute_0_771,refute_0_774]) ).
cnf(refute_0_776,plain,
join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))) = join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))),
introduced(tautology,[refl,[$fot(join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))]]) ).
cnf(refute_0_777,plain,
( join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))) != join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))
| meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)) != meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))
| join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))) = join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) ),[1,1],$fot(meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))]]) ).
cnf(refute_0_778,plain,
( meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)) != meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))
| join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))) = join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) ),
inference(resolve,[$cnf( $equal(join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))) = join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))),
inference(resolve,[$cnf( $equal(meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)),meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) )],[refute_0_775,refute_0_778]) ).
cnf(refute_0_780,plain,
meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))),
introduced(tautology,[refl,[$fot(meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))))]]) ).
cnf(refute_0_781,plain,
( join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))) != join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))
| meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))
| meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))),meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) ),[1,1],$fot(join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))]]) ).
cnf(refute_0_782,plain,
( join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))) != join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))
| meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) ),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))),meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))),
inference(resolve,[$cnf( $equal(join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))),join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) )],[refute_0_779,refute_0_782]) ).
cnf(refute_0_784,plain,
meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) = meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))),
introduced(tautology,[refl,[$fot(meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))))]]) ).
cnf(refute_0_785,plain,
( meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) != meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))))
| meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))
| meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))),meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))))) ),[1,1],$fot(meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))]]) ).
cnf(refute_0_786,plain,
( meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))
| meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) ),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))),meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))),meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) )],[refute_0_783,refute_0_786]) ).
cnf(refute_0_788,plain,
meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_18)),bind(Y,$fot(X_7)),bind(Z,$fot(join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))))]]) ).
cnf(refute_0_789,plain,
( meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) != meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))
| meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))))
| meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))))),bind(Y0,$fot(meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))))),bind(Z0,$fot(meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))))]]) ).
cnf(refute_0_790,plain,
( meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) != meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))
| meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))),meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))))) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_7,join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))),meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))) )],[refute_0_787,refute_0_790]) ).
cnf(refute_0_792,plain,
( join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) != meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))
| meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))) ),[0],$fot(meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))))]]) ).
cnf(refute_0_793,plain,
( join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) != meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7)))),meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
( join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))) != meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) )],[refute_0_770,refute_0_793]) ).
cnf(refute_0_795,plain,
join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_18,X_7),meet(X_7,X_18)),meet(X_36,join(meet(meet(X_7,X_18),X_36),meet(X_18,X_7)))),meet(meet(X_18,X_7),join(X_36,meet(join(meet(X_7,X_18),X_36),meet(X_18,X_7))))) )],[refute_0_722,refute_0_794]) ).
cnf(refute_0_796,plain,
join(meet(X_7,X_18),meet(X_36,meet(X_18,X_7))) = meet(X_7,X_18),
inference(subst,[],[refute_0_606:[bind(Y,$fot(X_7)),bind(X_32,$fot(X_36)),bind(X_33,$fot(X_18))]]) ).
cnf(refute_0_797,plain,
join(meet(X_22,X_23),meet(meet(X_22,X_23),Y)) = meet(X_22,X_23),
inference(subst,[],[absorption2:[bind(X,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_798,plain,
meet(meet(X_22,X_23),Y) = meet(X_22,meet(X_23,Y)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_799,plain,
( join(meet(X_22,X_23),meet(meet(X_22,X_23),Y)) != meet(X_22,X_23)
| meet(meet(X_22,X_23),Y) != meet(X_22,meet(X_23,Y))
| join(meet(X_22,X_23),meet(X_22,meet(X_23,Y))) = meet(X_22,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_22,X_23),meet(meet(X_22,X_23),Y)),meet(X_22,X_23)) ),[0,1],$fot(meet(X_22,meet(X_23,Y)))]]) ).
cnf(refute_0_800,plain,
( join(meet(X_22,X_23),meet(meet(X_22,X_23),Y)) != meet(X_22,X_23)
| join(meet(X_22,X_23),meet(X_22,meet(X_23,Y))) = meet(X_22,X_23) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),Y),meet(X_22,meet(X_23,Y))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
join(meet(X_22,X_23),meet(X_22,meet(X_23,Y))) = meet(X_22,X_23),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_23),meet(meet(X_22,X_23),Y)),meet(X_22,X_23)) )],[refute_0_797,refute_0_800]) ).
cnf(refute_0_802,plain,
join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))) = meet(X_51,X_52),
inference(subst,[],[refute_0_801:[bind(Y,$fot(X_50)),bind(X_22,$fot(X_51)),bind(X_23,$fot(X_52))]]) ).
cnf(refute_0_803,plain,
meet(X_52,meet(X_51,X_50)) = meet(X_51,meet(X_52,X_50)),
inference(subst,[],[refute_0_183:[bind(X_22,$fot(X_51)),bind(X_23,$fot(X_52)),bind(X_24,$fot(X_50))]]) ).
cnf(refute_0_804,plain,
( meet(X_52,meet(X_51,X_50)) != meet(X_51,meet(X_52,X_50))
| meet(X_51,meet(X_52,X_50)) = meet(X_52,meet(X_51,X_50)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_52,meet(X_51,X_50)))),bind(Y0,$fot(meet(X_51,meet(X_52,X_50))))]]) ).
cnf(refute_0_805,plain,
meet(X_51,meet(X_52,X_50)) = meet(X_52,meet(X_51,X_50)),
inference(resolve,[$cnf( $equal(meet(X_52,meet(X_51,X_50)),meet(X_51,meet(X_52,X_50))) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
( join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))) != meet(X_51,X_52)
| meet(X_51,meet(X_52,X_50)) != meet(X_52,meet(X_51,X_50))
| join(meet(X_51,X_52),meet(X_52,meet(X_51,X_50))) = meet(X_51,X_52) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))),meet(X_51,X_52)) ),[0,1],$fot(meet(X_52,meet(X_51,X_50)))]]) ).
cnf(refute_0_807,plain,
( join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))) != meet(X_51,X_52)
| join(meet(X_51,X_52),meet(X_52,meet(X_51,X_50))) = meet(X_51,X_52) ),
inference(resolve,[$cnf( $equal(meet(X_51,meet(X_52,X_50)),meet(X_52,meet(X_51,X_50))) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
join(meet(X_51,X_52),meet(X_52,meet(X_51,X_50))) = meet(X_51,X_52),
inference(resolve,[$cnf( $equal(join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))),meet(X_51,X_52)) )],[refute_0_802,refute_0_807]) ).
cnf(refute_0_809,plain,
join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))) = meet(X_18,X_7),
inference(subst,[],[refute_0_808:[bind(X_50,$fot(X_36)),bind(X_51,$fot(X_18)),bind(X_52,$fot(X_7))]]) ).
cnf(refute_0_810,plain,
meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))) = meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))),
introduced(tautology,[refl,[$fot(meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))]]) ).
cnf(refute_0_811,plain,
( join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))) != meet(X_18,X_7)
| meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))) != meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))
| meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))) = meet(X_36,meet(X_18,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) ),[1,1],$fot(meet(X_18,X_7))]]) ).
cnf(refute_0_812,plain,
( join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))) != meet(X_18,X_7)
| meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))) = meet(X_36,meet(X_18,X_7)) ),
inference(resolve,[$cnf( $equal(meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))) = meet(X_36,meet(X_18,X_7)),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))),meet(X_18,X_7)) )],[refute_0_809,refute_0_812]) ).
cnf(refute_0_814,plain,
join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),
introduced(tautology,[refl,[$fot(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))))]]) ).
cnf(refute_0_815,plain,
( join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) != join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))
| meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))) != meet(X_36,meet(X_18,X_7))
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = join(meet(X_7,X_18),meet(X_36,meet(X_18,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))) ),[1,1],$fot(meet(X_36,meet(X_18,X_7)))]]) ).
cnf(refute_0_816,plain,
( meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))) != meet(X_36,meet(X_18,X_7))
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = join(meet(X_7,X_18),meet(X_36,meet(X_18,X_7))) ),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))))) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = join(meet(X_7,X_18),meet(X_36,meet(X_18,X_7))),
inference(resolve,[$cnf( $equal(meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36)))),meet(X_36,meet(X_18,X_7))) )],[refute_0_813,refute_0_816]) ).
cnf(refute_0_818,plain,
( join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) != join(meet(X_7,X_18),meet(X_36,meet(X_18,X_7)))
| join(meet(X_7,X_18),meet(X_36,meet(X_18,X_7))) != meet(X_7,X_18)
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = meet(X_7,X_18) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))))),bind(Y0,$fot(join(meet(X_7,X_18),meet(X_36,meet(X_18,X_7))))),bind(Z0,$fot(meet(X_7,X_18)))]]) ).
cnf(refute_0_819,plain,
( join(meet(X_7,X_18),meet(X_36,meet(X_18,X_7))) != meet(X_7,X_18)
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = meet(X_7,X_18) ),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),join(meet(X_7,X_18),meet(X_36,meet(X_18,X_7)))) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) = meet(X_7,X_18),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,meet(X_18,X_7))),meet(X_7,X_18)) )],[refute_0_796,refute_0_819]) ).
cnf(refute_0_821,plain,
( join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) != meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))
| join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) != meet(X_7,X_18)
| meet(X_7,X_18) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))) ),[0],$fot(meet(X_7,X_18))]]) ).
cnf(refute_0_822,plain,
( join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))) != meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))
| meet(X_7,X_18) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),meet(X_7,X_18)) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
meet(X_7,X_18) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_18),meet(X_36,join(meet(X_18,X_7),meet(X_7,meet(X_18,X_36))))),meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))) )],[refute_0_795,refute_0_822]) ).
cnf(refute_0_824,plain,
meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))) = meet(X_22,X_23),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_825,plain,
meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))) = meet(X_22,meet(X_23,join(Y,meet(X_22,X_23)))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(join(Y,meet(X_22,X_23))))]]) ).
cnf(refute_0_826,plain,
( meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))) != meet(X_22,X_23)
| meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))) != meet(X_22,meet(X_23,join(Y,meet(X_22,X_23))))
| meet(X_22,meet(X_23,join(Y,meet(X_22,X_23)))) = meet(X_22,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))),meet(X_22,X_23)) ),[0],$fot(meet(X_22,meet(X_23,join(Y,meet(X_22,X_23)))))]]) ).
cnf(refute_0_827,plain,
( meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))) != meet(X_22,X_23)
| meet(X_22,meet(X_23,join(Y,meet(X_22,X_23)))) = meet(X_22,X_23) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))),meet(X_22,meet(X_23,join(Y,meet(X_22,X_23))))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
meet(X_22,meet(X_23,join(Y,meet(X_22,X_23)))) = meet(X_22,X_23),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))),meet(X_22,X_23)) )],[refute_0_824,refute_0_827]) ).
cnf(refute_0_829,plain,
meet(X_18,meet(X_7,join(X_36,meet(X_18,X_7)))) = meet(X_18,X_7),
inference(subst,[],[refute_0_828:[bind(Y,$fot(X_36)),bind(X_22,$fot(X_18)),bind(X_23,$fot(X_7))]]) ).
cnf(refute_0_830,plain,
meet(meet(X_81,X_80),join(Y,meet(X_81,X_80))) = meet(X_81,X_80),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_81,X_80)))]]) ).
cnf(refute_0_831,plain,
join(Y,meet(X_81,X_80)) = join(meet(X_80,X_81),Y),
inference(subst,[],[refute_0_464:[bind(X_18,$fot(X_80)),bind(X_7,$fot(X_81)),bind(X_74,$fot(Y))]]) ).
cnf(refute_0_832,plain,
( join(Y,meet(X_81,X_80)) != join(meet(X_80,X_81),Y)
| meet(meet(X_81,X_80),join(Y,meet(X_81,X_80))) != meet(X_81,X_80)
| meet(meet(X_81,X_80),join(meet(X_80,X_81),Y)) = meet(X_81,X_80) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_81,X_80),join(Y,meet(X_81,X_80))),meet(X_81,X_80)) ),[0,1],$fot(join(meet(X_80,X_81),Y))]]) ).
cnf(refute_0_833,plain,
( meet(meet(X_81,X_80),join(Y,meet(X_81,X_80))) != meet(X_81,X_80)
| meet(meet(X_81,X_80),join(meet(X_80,X_81),Y)) = meet(X_81,X_80) ),
inference(resolve,[$cnf( $equal(join(Y,meet(X_81,X_80)),join(meet(X_80,X_81),Y)) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
meet(meet(X_81,X_80),join(meet(X_80,X_81),Y)) = meet(X_81,X_80),
inference(resolve,[$cnf( $equal(meet(meet(X_81,X_80),join(Y,meet(X_81,X_80))),meet(X_81,X_80)) )],[refute_0_830,refute_0_833]) ).
cnf(refute_0_835,plain,
meet(meet(X_81,X_80),join(meet(X_80,X_81),Y)) = meet(X_81,meet(X_80,join(meet(X_80,X_81),Y))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_81)),bind(Y,$fot(X_80)),bind(Z,$fot(join(meet(X_80,X_81),Y)))]]) ).
cnf(refute_0_836,plain,
( meet(meet(X_81,X_80),join(meet(X_80,X_81),Y)) != meet(X_81,X_80)
| meet(meet(X_81,X_80),join(meet(X_80,X_81),Y)) != meet(X_81,meet(X_80,join(meet(X_80,X_81),Y)))
| meet(X_81,meet(X_80,join(meet(X_80,X_81),Y))) = meet(X_81,X_80) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_81,X_80),join(meet(X_80,X_81),Y)),meet(X_81,X_80)) ),[0],$fot(meet(X_81,meet(X_80,join(meet(X_80,X_81),Y))))]]) ).
cnf(refute_0_837,plain,
( meet(meet(X_81,X_80),join(meet(X_80,X_81),Y)) != meet(X_81,X_80)
| meet(X_81,meet(X_80,join(meet(X_80,X_81),Y))) = meet(X_81,X_80) ),
inference(resolve,[$cnf( $equal(meet(meet(X_81,X_80),join(meet(X_80,X_81),Y)),meet(X_81,meet(X_80,join(meet(X_80,X_81),Y)))) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
meet(X_81,meet(X_80,join(meet(X_80,X_81),Y))) = meet(X_81,X_80),
inference(resolve,[$cnf( $equal(meet(meet(X_81,X_80),join(meet(X_80,X_81),Y)),meet(X_81,X_80)) )],[refute_0_834,refute_0_837]) ).
cnf(refute_0_839,plain,
meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))) = meet(X_18,X_7),
inference(subst,[],[refute_0_838:[bind(Y,$fot(X_36)),bind(X_80,$fot(X_7)),bind(X_81,$fot(X_18))]]) ).
cnf(refute_0_840,plain,
join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) = join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))),
introduced(tautology,[refl,[$fot(join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))]]) ).
cnf(refute_0_841,plain,
( join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) != join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))
| meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))) != meet(X_18,X_7)
| join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) = join(X_36,meet(X_18,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))),join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) ),[1,1],$fot(meet(X_18,X_7))]]) ).
cnf(refute_0_842,plain,
( meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))) != meet(X_18,X_7)
| join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) = join(X_36,meet(X_18,X_7)) ),
inference(resolve,[$cnf( $equal(join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))),join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) = join(X_36,meet(X_18,X_7)),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))),meet(X_18,X_7)) )],[refute_0_839,refute_0_842]) ).
cnf(refute_0_844,plain,
meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) = meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))),
introduced(tautology,[refl,[$fot(meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))]]) ).
cnf(refute_0_845,plain,
( join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) != join(X_36,meet(X_18,X_7))
| meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) != meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))
| meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) = meet(X_7,join(X_36,meet(X_18,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))),meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) ),[1,1],$fot(join(X_36,meet(X_18,X_7)))]]) ).
cnf(refute_0_846,plain,
( join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))) != join(X_36,meet(X_18,X_7))
| meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) = meet(X_7,join(X_36,meet(X_18,X_7))) ),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))),meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) = meet(X_7,join(X_36,meet(X_18,X_7))),
inference(resolve,[$cnf( $equal(join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))),join(X_36,meet(X_18,X_7))) )],[refute_0_843,refute_0_846]) ).
cnf(refute_0_848,plain,
meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))),
introduced(tautology,[refl,[$fot(meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))))]]) ).
cnf(refute_0_849,plain,
( meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) != meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))
| meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) != meet(X_7,join(X_36,meet(X_18,X_7)))
| meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))),meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))) ),[1,1],$fot(meet(X_7,join(X_36,meet(X_18,X_7))))]]) ).
cnf(refute_0_850,plain,
( meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))) != meet(X_7,join(X_36,meet(X_18,X_7)))
| meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,X_7)))) ),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))),meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) = meet(X_18,meet(X_7,join(X_36,meet(X_18,X_7)))),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))),meet(X_7,join(X_36,meet(X_18,X_7)))) )],[refute_0_847,refute_0_850]) ).
cnf(refute_0_852,plain,
( meet(X_18,meet(X_7,join(X_36,meet(X_18,X_7)))) != meet(X_18,X_7)
| meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) != meet(X_18,meet(X_7,join(X_36,meet(X_18,X_7))))
| meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) = meet(X_18,X_7) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))))),bind(Y0,$fot(meet(X_18,meet(X_7,join(X_36,meet(X_18,X_7)))))),bind(Z0,$fot(meet(X_18,X_7)))]]) ).
cnf(refute_0_853,plain,
( meet(X_18,meet(X_7,join(X_36,meet(X_18,X_7)))) != meet(X_18,X_7)
| meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) = meet(X_18,X_7) ),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))),meet(X_18,meet(X_7,join(X_36,meet(X_18,X_7))))) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) = meet(X_18,X_7),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_7,join(X_36,meet(X_18,X_7)))),meet(X_18,X_7)) )],[refute_0_829,refute_0_853]) ).
cnf(refute_0_855,plain,
( meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))) != meet(X_18,X_7)
| meet(X_7,X_18) != meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))
| meet(X_7,X_18) = meet(X_18,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_7,X_18),meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))) ),[1],$fot(meet(X_18,X_7))]]) ).
cnf(refute_0_856,plain,
( meet(X_7,X_18) != meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))
| meet(X_7,X_18) = meet(X_18,X_7) ),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36)))))),meet(X_18,X_7)) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
meet(X_7,X_18) = meet(X_18,X_7),
inference(resolve,[$cnf( $equal(meet(X_7,X_18),meet(X_18,meet(X_7,join(X_36,meet(X_18,meet(X_7,join(meet(X_7,X_18),X_36))))))) )],[refute_0_823,refute_0_856]) ).
cnf(refute_0_858,plain,
( meet(X_7,X_18) != meet(X_18,X_7)
| meet(X_18,X_7) = meet(X_7,X_18) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_7,X_18))),bind(Y0,$fot(meet(X_18,X_7)))]]) ).
cnf(refute_0_859,plain,
meet(X_18,X_7) = meet(X_7,X_18),
inference(resolve,[$cnf( $equal(meet(X_7,X_18),meet(X_18,X_7)) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
meet(meet(X_101,meet(X_7,X_103)),X_7) = meet(X_7,meet(X_101,meet(X_7,X_103))),
inference(subst,[],[refute_0_859:[bind(X_18,$fot(meet(X_101,meet(X_7,X_103))))]]) ).
cnf(refute_0_861,plain,
( meet(X_7,meet(X_101,meet(X_7,X_103))) != meet(X_7,meet(X_101,X_103))
| meet(meet(X_101,meet(X_7,X_103)),X_7) != meet(X_7,meet(X_101,meet(X_7,X_103)))
| meet(meet(X_101,meet(X_7,X_103)),X_7) = meet(X_7,meet(X_101,X_103)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_101,meet(X_7,X_103)),X_7))),bind(Y0,$fot(meet(X_7,meet(X_101,meet(X_7,X_103))))),bind(Z0,$fot(meet(X_7,meet(X_101,X_103))))]]) ).
cnf(refute_0_862,plain,
( meet(X_7,meet(X_101,meet(X_7,X_103))) != meet(X_7,meet(X_101,X_103))
| meet(meet(X_101,meet(X_7,X_103)),X_7) = meet(X_7,meet(X_101,X_103)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,meet(X_7,X_103)))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
meet(meet(X_101,meet(X_7,X_103)),X_7) = meet(X_7,meet(X_101,X_103)),
inference(resolve,[$cnf( $equal(meet(X_7,meet(X_101,meet(X_7,X_103))),meet(X_7,meet(X_101,X_103))) )],[refute_0_598,refute_0_862]) ).
cnf(refute_0_864,plain,
( meet(X_103,meet(X_101,X_7)) != meet(meet(X_101,meet(X_7,X_103)),X_7)
| meet(meet(X_101,meet(X_7,X_103)),X_7) != meet(X_7,meet(X_101,X_103))
| meet(X_103,meet(X_101,X_7)) = meet(X_7,meet(X_101,X_103)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_103,meet(X_101,X_7)),meet(X_7,meet(X_101,X_103))) ),[0],$fot(meet(meet(X_101,meet(X_7,X_103)),X_7))]]) ).
cnf(refute_0_865,plain,
( meet(X_103,meet(X_101,X_7)) != meet(meet(X_101,meet(X_7,X_103)),X_7)
| meet(X_103,meet(X_101,X_7)) = meet(X_7,meet(X_101,X_103)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
( join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))) != meet(meet(X_101,meet(X_7,X_103)),X_7)
| meet(X_103,meet(X_101,X_7)) = meet(X_7,meet(X_101,X_103)) ),
inference(resolve,[$cnf( $equal(meet(X_103,meet(X_101,X_7)),meet(meet(X_101,meet(X_7,X_103)),X_7)) )],[refute_0_718,refute_0_865]) ).
cnf(refute_0_867,plain,
meet(X_103,meet(X_101,X_7)) = meet(X_7,meet(X_101,X_103)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_101,meet(X_7,X_103)),X_7),meet(X_7,meet(X_101,X_103))),meet(meet(X_101,meet(X_7,X_103)),X_7)) )],[refute_0_601,refute_0_866]) ).
cnf(refute_0_868,plain,
meet(X_18,meet(X_104,X_106)) = meet(X_106,meet(X_104,X_18)),
inference(subst,[],[refute_0_867:[bind(X_101,$fot(X_104)),bind(X_103,$fot(X_18)),bind(X_7,$fot(X_106))]]) ).
cnf(refute_0_869,plain,
( join(X_74,meet(meet(X_104,X_106),X_18)) != join(meet(X_18,meet(X_104,X_106)),X_74)
| meet(X_18,meet(X_104,X_106)) != meet(X_106,meet(X_104,X_18))
| join(X_74,meet(meet(X_104,X_106),X_18)) = join(meet(X_106,meet(X_104,X_18)),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_74,meet(meet(X_104,X_106),X_18)),join(meet(X_18,meet(X_104,X_106)),X_74)) ),[1,0],$fot(meet(X_106,meet(X_104,X_18)))]]) ).
cnf(refute_0_870,plain,
( join(X_74,meet(meet(X_104,X_106),X_18)) != join(meet(X_18,meet(X_104,X_106)),X_74)
| join(X_74,meet(meet(X_104,X_106),X_18)) = join(meet(X_106,meet(X_104,X_18)),X_74) ),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_104,X_106)),meet(X_106,meet(X_104,X_18))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
join(X_74,meet(meet(X_104,X_106),X_18)) = join(meet(X_106,meet(X_104,X_18)),X_74),
inference(resolve,[$cnf( $equal(join(X_74,meet(meet(X_104,X_106),X_18)),join(meet(X_18,meet(X_104,X_106)),X_74)) )],[refute_0_577,refute_0_870]) ).
cnf(refute_0_872,plain,
meet(meet(X_104,X_106),X_18) = meet(X_104,meet(X_106,X_18)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_104)),bind(Y,$fot(X_106)),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_873,plain,
join(X_74,meet(meet(X_104,X_106),X_18)) = join(X_74,meet(meet(X_104,X_106),X_18)),
introduced(tautology,[refl,[$fot(join(X_74,meet(meet(X_104,X_106),X_18)))]]) ).
cnf(refute_0_874,plain,
( join(X_74,meet(meet(X_104,X_106),X_18)) != join(X_74,meet(meet(X_104,X_106),X_18))
| meet(meet(X_104,X_106),X_18) != meet(X_104,meet(X_106,X_18))
| join(X_74,meet(meet(X_104,X_106),X_18)) = join(X_74,meet(X_104,meet(X_106,X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_74,meet(meet(X_104,X_106),X_18)),join(X_74,meet(meet(X_104,X_106),X_18))) ),[1,1],$fot(meet(X_104,meet(X_106,X_18)))]]) ).
cnf(refute_0_875,plain,
( meet(meet(X_104,X_106),X_18) != meet(X_104,meet(X_106,X_18))
| join(X_74,meet(meet(X_104,X_106),X_18)) = join(X_74,meet(X_104,meet(X_106,X_18))) ),
inference(resolve,[$cnf( $equal(join(X_74,meet(meet(X_104,X_106),X_18)),join(X_74,meet(meet(X_104,X_106),X_18))) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
join(X_74,meet(meet(X_104,X_106),X_18)) = join(X_74,meet(X_104,meet(X_106,X_18))),
inference(resolve,[$cnf( $equal(meet(meet(X_104,X_106),X_18),meet(X_104,meet(X_106,X_18))) )],[refute_0_872,refute_0_875]) ).
cnf(refute_0_877,plain,
( join(X_74,meet(meet(X_104,X_106),X_18)) != join(X_74,meet(X_104,meet(X_106,X_18)))
| join(X_74,meet(meet(X_104,X_106),X_18)) != join(meet(X_106,meet(X_104,X_18)),X_74)
| join(X_74,meet(X_104,meet(X_106,X_18))) = join(meet(X_106,meet(X_104,X_18)),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_74,meet(meet(X_104,X_106),X_18)),join(meet(X_106,meet(X_104,X_18)),X_74)) ),[0],$fot(join(X_74,meet(X_104,meet(X_106,X_18))))]]) ).
cnf(refute_0_878,plain,
( join(X_74,meet(meet(X_104,X_106),X_18)) != join(meet(X_106,meet(X_104,X_18)),X_74)
| join(X_74,meet(X_104,meet(X_106,X_18))) = join(meet(X_106,meet(X_104,X_18)),X_74) ),
inference(resolve,[$cnf( $equal(join(X_74,meet(meet(X_104,X_106),X_18)),join(X_74,meet(X_104,meet(X_106,X_18)))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
join(X_74,meet(X_104,meet(X_106,X_18))) = join(meet(X_106,meet(X_104,X_18)),X_74),
inference(resolve,[$cnf( $equal(join(X_74,meet(meet(X_104,X_106),X_18)),join(meet(X_106,meet(X_104,X_18)),X_74)) )],[refute_0_871,refute_0_878]) ).
cnf(refute_0_880,plain,
( join(X_74,meet(X_104,meet(X_106,X_18))) != join(meet(X_106,meet(X_104,X_18)),X_74)
| join(meet(X_106,meet(X_104,X_18)),X_74) = join(X_74,meet(X_104,meet(X_106,X_18))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_74,meet(X_104,meet(X_106,X_18))))),bind(Y0,$fot(join(meet(X_106,meet(X_104,X_18)),X_74)))]]) ).
cnf(refute_0_881,plain,
join(meet(X_106,meet(X_104,X_18)),X_74) = join(X_74,meet(X_104,meet(X_106,X_18))),
inference(resolve,[$cnf( $equal(join(X_74,meet(X_104,meet(X_106,X_18))),join(meet(X_106,meet(X_104,X_18)),X_74)) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) = join(meet(X_134,join(X_14,Y)),meet(X_134,meet(join(Y,X_14),join(X_14,Y)))),
inference(subst,[],[refute_0_881:[bind(X_104,$fot(X_134)),bind(X_106,$fot(join(Y,X_14))),bind(X_18,$fot(join(X_14,Y))),bind(X_74,$fot(meet(X_134,join(X_14,Y))))]]) ).
cnf(refute_0_883,plain,
( join(meet(X_134,join(X_14,Y)),meet(X_134,meet(join(Y,X_14),join(X_14,Y)))) != meet(X_134,join(X_14,Y))
| join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) != join(meet(X_134,join(X_14,Y)),meet(X_134,meet(join(Y,X_14),join(X_14,Y))))
| join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) = meet(X_134,join(X_14,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))))),bind(Y0,$fot(join(meet(X_134,join(X_14,Y)),meet(X_134,meet(join(Y,X_14),join(X_14,Y)))))),bind(Z0,$fot(meet(X_134,join(X_14,Y))))]]) ).
cnf(refute_0_884,plain,
( join(meet(X_134,join(X_14,Y)),meet(X_134,meet(join(Y,X_14),join(X_14,Y)))) != meet(X_134,join(X_14,Y))
| join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) = meet(X_134,join(X_14,Y)) ),
inference(resolve,[$cnf( $equal(join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))),join(meet(X_134,join(X_14,Y)),meet(X_134,meet(join(Y,X_14),join(X_14,Y))))) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) = meet(X_134,join(X_14,Y)),
inference(resolve,[$cnf( $equal(join(meet(X_134,join(X_14,Y)),meet(X_134,meet(join(Y,X_14),join(X_14,Y)))),meet(X_134,join(X_14,Y))) )],[refute_0_576,refute_0_884]) ).
cnf(refute_0_886,plain,
( join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) != meet(X_134,join(X_14,Y))
| join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) != meet(join(Y,X_14),meet(X_134,join(X_14,Y)))
| meet(X_134,join(X_14,Y)) = meet(join(Y,X_14),meet(X_134,join(X_14,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))),meet(join(Y,X_14),meet(X_134,join(X_14,Y)))) ),[0],$fot(meet(X_134,join(X_14,Y)))]]) ).
cnf(refute_0_887,plain,
( join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) != meet(join(Y,X_14),meet(X_134,join(X_14,Y)))
| meet(X_134,join(X_14,Y)) = meet(join(Y,X_14),meet(X_134,join(X_14,Y))) ),
inference(resolve,[$cnf( $equal(join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
meet(X_42,meet(join(X_14,Y),join(Y,X_14))) = meet(join(X_14,Y),meet(X_42,join(Y,X_14))),
inference(subst,[],[refute_0_183:[bind(X_22,$fot(join(X_14,Y))),bind(X_23,$fot(X_42)),bind(X_24,$fot(join(Y,X_14)))]]) ).
cnf(refute_0_889,plain,
( meet(X_42,meet(join(X_14,Y),join(Y,X_14))) != meet(join(X_14,Y),meet(X_42,join(Y,X_14)))
| meet(join(X_14,Y),join(Y,X_14)) != join(X_14,Y)
| meet(X_42,join(X_14,Y)) = meet(join(X_14,Y),meet(X_42,join(Y,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,meet(join(X_14,Y),join(Y,X_14))),meet(join(X_14,Y),meet(X_42,join(Y,X_14)))) ),[0,1],$fot(join(X_14,Y))]]) ).
cnf(refute_0_890,plain,
( meet(X_42,meet(join(X_14,Y),join(Y,X_14))) != meet(join(X_14,Y),meet(X_42,join(Y,X_14)))
| meet(X_42,join(X_14,Y)) = meet(join(X_14,Y),meet(X_42,join(Y,X_14))) ),
inference(resolve,[$cnf( $equal(meet(join(X_14,Y),join(Y,X_14)),join(X_14,Y)) )],[refute_0_354,refute_0_889]) ).
cnf(refute_0_891,plain,
meet(X_42,join(X_14,Y)) = meet(join(X_14,Y),meet(X_42,join(Y,X_14))),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(X_14,Y),join(Y,X_14))),meet(join(X_14,Y),meet(X_42,join(Y,X_14)))) )],[refute_0_888,refute_0_890]) ).
cnf(refute_0_892,plain,
( meet(X_42,join(X_14,Y)) != meet(join(X_14,Y),meet(X_42,join(Y,X_14)))
| meet(join(X_14,Y),meet(X_42,join(Y,X_14))) = meet(X_42,join(X_14,Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_42,join(X_14,Y)))),bind(Y0,$fot(meet(join(X_14,Y),meet(X_42,join(Y,X_14)))))]]) ).
cnf(refute_0_893,plain,
meet(join(X_14,Y),meet(X_42,join(Y,X_14))) = meet(X_42,join(X_14,Y)),
inference(resolve,[$cnf( $equal(meet(X_42,join(X_14,Y)),meet(join(X_14,Y),meet(X_42,join(Y,X_14)))) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
meet(join(Y,X_14),meet(X_134,join(X_14,Y))) = meet(X_134,join(Y,X_14)),
inference(subst,[],[refute_0_893:[bind(Y,$fot(X_14)),bind(X_14,$fot(Y)),bind(X_42,$fot(X_134))]]) ).
cnf(refute_0_895,plain,
( meet(X_134,join(X_14,Y)) != meet(join(Y,X_14),meet(X_134,join(X_14,Y)))
| meet(join(Y,X_14),meet(X_134,join(X_14,Y))) != meet(X_134,join(Y,X_14))
| meet(X_134,join(X_14,Y)) = meet(X_134,join(Y,X_14)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_134,join(X_14,Y)),meet(X_134,join(Y,X_14))) ),[0],$fot(meet(join(Y,X_14),meet(X_134,join(X_14,Y))))]]) ).
cnf(refute_0_896,plain,
( meet(X_134,join(X_14,Y)) != meet(join(Y,X_14),meet(X_134,join(X_14,Y)))
| meet(X_134,join(X_14,Y)) = meet(X_134,join(Y,X_14)) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(Y,X_14))) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
( join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))) != meet(join(Y,X_14),meet(X_134,join(X_14,Y)))
| meet(X_134,join(X_14,Y)) = meet(X_134,join(Y,X_14)) ),
inference(resolve,[$cnf( $equal(meet(X_134,join(X_14,Y)),meet(join(Y,X_14),meet(X_134,join(X_14,Y)))) )],[refute_0_887,refute_0_896]) ).
cnf(refute_0_898,plain,
meet(X_134,join(X_14,Y)) = meet(X_134,join(Y,X_14)),
inference(resolve,[$cnf( $equal(join(meet(join(Y,X_14),meet(X_134,join(X_14,Y))),meet(X_134,join(X_14,Y))),meet(join(Y,X_14),meet(X_134,join(X_14,Y)))) )],[refute_0_570,refute_0_897]) ).
cnf(refute_0_899,plain,
meet(X_7,join(X_154,X_152)) = meet(X_7,join(X_152,X_154)),
inference(subst,[],[refute_0_898:[bind(Y,$fot(X_152)),bind(X_134,$fot(X_7)),bind(X_14,$fot(X_154))]]) ).
cnf(refute_0_900,plain,
( join(X_63,meet(join(X_154,X_152),X_7)) != join(X_63,meet(X_7,join(X_154,X_152)))
| meet(X_7,join(X_154,X_152)) != meet(X_7,join(X_152,X_154))
| join(X_63,meet(join(X_154,X_152),X_7)) = join(X_63,meet(X_7,join(X_152,X_154))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_63,meet(join(X_154,X_152),X_7)),join(X_63,meet(X_7,join(X_154,X_152)))) ),[1,1],$fot(meet(X_7,join(X_152,X_154)))]]) ).
cnf(refute_0_901,plain,
( join(X_63,meet(join(X_154,X_152),X_7)) != join(X_63,meet(X_7,join(X_154,X_152)))
| join(X_63,meet(join(X_154,X_152),X_7)) = join(X_63,meet(X_7,join(X_152,X_154))) ),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_154,X_152)),meet(X_7,join(X_152,X_154))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
join(X_63,meet(join(X_154,X_152),X_7)) = join(X_63,meet(X_7,join(X_152,X_154))),
inference(resolve,[$cnf( $equal(join(X_63,meet(join(X_154,X_152),X_7)),join(X_63,meet(X_7,join(X_154,X_152)))) )],[refute_0_561,refute_0_901]) ).
cnf(refute_0_903,plain,
join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)) = join(meet(X_36,X_37),meet(X_37,join(meet(X_37,Y),X_36))),
inference(subst,[],[refute_0_902:[bind(X_152,$fot(meet(X_37,Y))),bind(X_154,$fot(X_36)),bind(X_63,$fot(meet(X_36,X_37))),bind(X_7,$fot(X_37))]]) ).
cnf(refute_0_904,plain,
( join(meet(X_36,X_37),meet(X_37,join(meet(X_37,Y),X_36))) != meet(X_37,join(meet(X_37,Y),X_36))
| join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)) != join(meet(X_36,X_37),meet(X_37,join(meet(X_37,Y),X_36)))
| join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)) = meet(X_37,join(meet(X_37,Y),X_36)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)))),bind(Y0,$fot(join(meet(X_36,X_37),meet(X_37,join(meet(X_37,Y),X_36))))),bind(Z0,$fot(meet(X_37,join(meet(X_37,Y),X_36))))]]) ).
cnf(refute_0_905,plain,
( join(meet(X_36,X_37),meet(X_37,join(meet(X_37,Y),X_36))) != meet(X_37,join(meet(X_37,Y),X_36))
| join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)) = meet(X_37,join(meet(X_37,Y),X_36)) ),
inference(resolve,[$cnf( $equal(join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)),join(meet(X_36,X_37),meet(X_37,join(meet(X_37,Y),X_36)))) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)) = meet(X_37,join(meet(X_37,Y),X_36)),
inference(resolve,[$cnf( $equal(join(meet(X_36,X_37),meet(X_37,join(meet(X_37,Y),X_36))),meet(X_37,join(meet(X_37,Y),X_36))) )],[refute_0_552,refute_0_905]) ).
cnf(refute_0_907,plain,
join(X_74,meet(join(X_154,X_152),X_18)) = join(meet(X_18,join(X_154,X_152)),X_74),
inference(subst,[],[refute_0_464:[bind(X_7,$fot(join(X_154,X_152)))]]) ).
cnf(refute_0_908,plain,
meet(X_18,join(X_154,X_152)) = meet(X_18,join(X_152,X_154)),
inference(subst,[],[refute_0_898:[bind(Y,$fot(X_152)),bind(X_134,$fot(X_18)),bind(X_14,$fot(X_154))]]) ).
cnf(refute_0_909,plain,
( join(X_74,meet(join(X_154,X_152),X_18)) != join(meet(X_18,join(X_154,X_152)),X_74)
| meet(X_18,join(X_154,X_152)) != meet(X_18,join(X_152,X_154))
| join(X_74,meet(join(X_154,X_152),X_18)) = join(meet(X_18,join(X_152,X_154)),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_74,meet(join(X_154,X_152),X_18)),join(meet(X_18,join(X_154,X_152)),X_74)) ),[1,0],$fot(meet(X_18,join(X_152,X_154)))]]) ).
cnf(refute_0_910,plain,
( join(X_74,meet(join(X_154,X_152),X_18)) != join(meet(X_18,join(X_154,X_152)),X_74)
| join(X_74,meet(join(X_154,X_152),X_18)) = join(meet(X_18,join(X_152,X_154)),X_74) ),
inference(resolve,[$cnf( $equal(meet(X_18,join(X_154,X_152)),meet(X_18,join(X_152,X_154))) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
join(X_74,meet(join(X_154,X_152),X_18)) = join(meet(X_18,join(X_152,X_154)),X_74),
inference(resolve,[$cnf( $equal(join(X_74,meet(join(X_154,X_152),X_18)),join(meet(X_18,join(X_154,X_152)),X_74)) )],[refute_0_907,refute_0_910]) ).
cnf(refute_0_912,plain,
( join(X_74,meet(join(X_154,X_152),X_18)) != join(meet(X_18,join(X_152,X_154)),X_74)
| join(meet(X_18,join(X_152,X_154)),X_74) = join(X_74,meet(join(X_154,X_152),X_18)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_74,meet(join(X_154,X_152),X_18)))),bind(Y0,$fot(join(meet(X_18,join(X_152,X_154)),X_74)))]]) ).
cnf(refute_0_913,plain,
join(meet(X_18,join(X_152,X_154)),X_74) = join(X_74,meet(join(X_154,X_152),X_18)),
inference(resolve,[$cnf( $equal(join(X_74,meet(join(X_154,X_152),X_18)),join(meet(X_18,join(X_152,X_154)),X_74)) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)) = join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)),
inference(subst,[],[refute_0_913:[bind(X_152,$fot(meet(X_37,Y))),bind(X_154,$fot(X_36)),bind(X_18,$fot(X_37)),bind(X_74,$fot(meet(X_36,X_37)))]]) ).
cnf(refute_0_915,plain,
( join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)) != meet(X_37,join(meet(X_37,Y),X_36))
| join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)) != join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37))
| join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)) = meet(X_37,join(meet(X_37,Y),X_36)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)))),bind(Y0,$fot(join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)))),bind(Z0,$fot(meet(X_37,join(meet(X_37,Y),X_36))))]]) ).
cnf(refute_0_916,plain,
( join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)) != meet(X_37,join(meet(X_37,Y),X_36))
| join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)) = meet(X_37,join(meet(X_37,Y),X_36)) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)),join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37))) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)) = meet(X_37,join(meet(X_37,Y),X_36)),
inference(resolve,[$cnf( $equal(join(meet(X_36,X_37),meet(join(X_36,meet(X_37,Y)),X_37)),meet(X_37,join(meet(X_37,Y),X_36))) )],[refute_0_906,refute_0_916]) ).
cnf(refute_0_918,plain,
meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))) = meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))),
inference(subst,[],[refute_0_645:[bind(X_24,$fot(join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))))]]) ).
cnf(refute_0_919,plain,
join(meet(X_22,X_160),meet(X_158,X_22)) = meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))),
inference(subst,[],[refute_0_289:[bind(X_36,$fot(X_158)),bind(X_37,$fot(X_22)),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_920,plain,
( join(meet(X_22,X_160),meet(X_158,X_22)) != meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))
| meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))) = join(meet(X_22,X_160),meet(X_158,X_22)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_22,X_160),meet(X_158,X_22)))),bind(Y0,$fot(meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))))]]) ).
cnf(refute_0_921,plain,
meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))) = join(meet(X_22,X_160),meet(X_158,X_22)),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_160),meet(X_158,X_22)),meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
( meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))) != join(meet(X_22,X_160),meet(X_158,X_22))
| meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))) != meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))))
| join(meet(X_22,X_160),meet(X_158,X_22)) = meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))),meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))))) ),[0],$fot(join(meet(X_22,X_160),meet(X_158,X_22)))]]) ).
cnf(refute_0_923,plain,
( meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))) != meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))))
| join(meet(X_22,X_160),meet(X_158,X_22)) = meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))) ),
inference(resolve,[$cnf( $equal(meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))),join(meet(X_22,X_160),meet(X_158,X_22))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
join(meet(X_22,X_160),meet(X_158,X_22)) = meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))),
inference(resolve,[$cnf( $equal(meet(X_22,join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))),meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))))) )],[refute_0_918,refute_0_923]) ).
cnf(refute_0_925,plain,
meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) = meet(X_7,meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))),
inference(subst,[],[refute_0_867:[bind(X_103,$fot(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))]]) ).
cnf(refute_0_926,plain,
join(meet(X_101,X_160),meet(X_158,X_101)) = meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))),
inference(subst,[],[refute_0_289:[bind(X_36,$fot(X_158)),bind(X_37,$fot(X_101)),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_927,plain,
( join(meet(X_101,X_160),meet(X_158,X_101)) != meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))
| meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))) = join(meet(X_101,X_160),meet(X_158,X_101)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_101,X_160),meet(X_158,X_101)))),bind(Y0,$fot(meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))))]]) ).
cnf(refute_0_928,plain,
meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))) = join(meet(X_101,X_160),meet(X_158,X_101)),
inference(resolve,[$cnf( $equal(join(meet(X_101,X_160),meet(X_158,X_101)),meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
( meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))) != join(meet(X_101,X_160),meet(X_158,X_101))
| meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) != meet(X_7,meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))
| meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) = meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)),meet(X_7,meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))) ),[1,1],$fot(join(meet(X_101,X_160),meet(X_158,X_101)))]]) ).
cnf(refute_0_930,plain,
( meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) != meet(X_7,meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))
| meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) = meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))) ),
inference(resolve,[$cnf( $equal(meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))),join(meet(X_101,X_160),meet(X_158,X_101))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) = meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))),
inference(resolve,[$cnf( $equal(meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)),meet(X_7,meet(X_101,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))) )],[refute_0_925,refute_0_930]) ).
cnf(refute_0_932,plain,
meet(meet(X,Y),join(X_154,X_152)) = meet(X,meet(Y,join(X_154,X_152))),
inference(subst,[],[associativity_of_meet:[bind(Z,$fot(join(X_154,X_152)))]]) ).
cnf(refute_0_933,plain,
meet(meet(X,Y),join(X_154,X_152)) = meet(meet(X,Y),join(X_152,X_154)),
inference(subst,[],[refute_0_898:[bind(Y,$fot(X_152)),bind(X_134,$fot(meet(X,Y))),bind(X_14,$fot(X_154))]]) ).
cnf(refute_0_934,plain,
( meet(meet(X,Y),join(X_154,X_152)) != meet(X,meet(Y,join(X_154,X_152)))
| meet(meet(X,Y),join(X_154,X_152)) != meet(meet(X,Y),join(X_152,X_154))
| meet(meet(X,Y),join(X_152,X_154)) = meet(X,meet(Y,join(X_154,X_152))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),join(X_154,X_152)),meet(X,meet(Y,join(X_154,X_152)))) ),[0],$fot(meet(meet(X,Y),join(X_152,X_154)))]]) ).
cnf(refute_0_935,plain,
( meet(meet(X,Y),join(X_154,X_152)) != meet(X,meet(Y,join(X_154,X_152)))
| meet(meet(X,Y),join(X_152,X_154)) = meet(X,meet(Y,join(X_154,X_152))) ),
inference(resolve,[$cnf( $equal(meet(meet(X,Y),join(X_154,X_152)),meet(meet(X,Y),join(X_152,X_154))) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
meet(meet(X,Y),join(X_152,X_154)) = meet(X,meet(Y,join(X_154,X_152))),
inference(resolve,[$cnf( $equal(meet(meet(X,Y),join(X_154,X_152)),meet(X,meet(Y,join(X_154,X_152)))) )],[refute_0_932,refute_0_935]) ).
cnf(refute_0_937,plain,
meet(meet(X,Y),join(X_152,X_154)) = meet(X,meet(Y,join(X_152,X_154))),
inference(subst,[],[associativity_of_meet:[bind(Z,$fot(join(X_152,X_154)))]]) ).
cnf(refute_0_938,plain,
( meet(meet(X,Y),join(X_152,X_154)) != meet(X,meet(Y,join(X_152,X_154)))
| meet(meet(X,Y),join(X_152,X_154)) != meet(X,meet(Y,join(X_154,X_152)))
| meet(X,meet(Y,join(X_152,X_154))) = meet(X,meet(Y,join(X_154,X_152))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,Y),join(X_152,X_154)),meet(X,meet(Y,join(X_154,X_152)))) ),[0],$fot(meet(X,meet(Y,join(X_152,X_154))))]]) ).
cnf(refute_0_939,plain,
( meet(meet(X,Y),join(X_152,X_154)) != meet(X,meet(Y,join(X_154,X_152)))
| meet(X,meet(Y,join(X_152,X_154))) = meet(X,meet(Y,join(X_154,X_152))) ),
inference(resolve,[$cnf( $equal(meet(meet(X,Y),join(X_152,X_154)),meet(X,meet(Y,join(X_152,X_154)))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
meet(X,meet(Y,join(X_152,X_154))) = meet(X,meet(Y,join(X_154,X_152))),
inference(resolve,[$cnf( $equal(meet(meet(X,Y),join(X_152,X_154)),meet(X,meet(Y,join(X_154,X_152)))) )],[refute_0_936,refute_0_939]) ).
cnf(refute_0_941,plain,
( meet(X,meet(Y,join(X_152,X_154))) != meet(X,meet(Y,join(X_154,X_152)))
| meet(X,meet(Y,join(X_154,X_152))) = meet(X,meet(Y,join(X_152,X_154))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X,meet(Y,join(X_152,X_154))))),bind(Y0,$fot(meet(X,meet(Y,join(X_154,X_152)))))]]) ).
cnf(refute_0_942,plain,
meet(X,meet(Y,join(X_154,X_152))) = meet(X,meet(Y,join(X_152,X_154))),
inference(resolve,[$cnf( $equal(meet(X,meet(Y,join(X_152,X_154))),meet(X,meet(Y,join(X_154,X_152)))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
meet(X_101,meet(X_7,join(meet(X_101,join(meet(X_160,X_101),X_158)),X_158))) = meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))),
inference(subst,[],[refute_0_942:[bind(X,$fot(X_101)),bind(Y,$fot(X_7)),bind(X_152,$fot(X_158)),bind(X_154,$fot(meet(X_101,join(meet(X_160,X_101),X_158))))]]) ).
cnf(refute_0_944,plain,
meet(join(X_154,X_152),meet(X_22,X_23)) = meet(X_22,meet(X_23,join(X_154,X_152))),
inference(subst,[],[refute_0_199:[bind(X,$fot(join(X_154,X_152)))]]) ).
cnf(refute_0_945,plain,
meet(X_23,join(X_154,X_152)) = meet(X_23,join(X_152,X_154)),
inference(subst,[],[refute_0_898:[bind(Y,$fot(X_152)),bind(X_134,$fot(X_23)),bind(X_14,$fot(X_154))]]) ).
cnf(refute_0_946,plain,
( meet(X_23,join(X_154,X_152)) != meet(X_23,join(X_152,X_154))
| meet(join(X_154,X_152),meet(X_22,X_23)) != meet(X_22,meet(X_23,join(X_154,X_152)))
| meet(join(X_154,X_152),meet(X_22,X_23)) = meet(X_22,meet(X_23,join(X_152,X_154))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_154,X_152),meet(X_22,X_23)),meet(X_22,meet(X_23,join(X_154,X_152)))) ),[1,1],$fot(meet(X_23,join(X_152,X_154)))]]) ).
cnf(refute_0_947,plain,
( meet(join(X_154,X_152),meet(X_22,X_23)) != meet(X_22,meet(X_23,join(X_154,X_152)))
| meet(join(X_154,X_152),meet(X_22,X_23)) = meet(X_22,meet(X_23,join(X_152,X_154))) ),
inference(resolve,[$cnf( $equal(meet(X_23,join(X_154,X_152)),meet(X_23,join(X_152,X_154))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
meet(join(X_154,X_152),meet(X_22,X_23)) = meet(X_22,meet(X_23,join(X_152,X_154))),
inference(resolve,[$cnf( $equal(meet(join(X_154,X_152),meet(X_22,X_23)),meet(X_22,meet(X_23,join(X_154,X_152)))) )],[refute_0_944,refute_0_947]) ).
cnf(refute_0_949,plain,
meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) = meet(X_101,meet(X_7,join(meet(X_101,join(meet(X_160,X_101),X_158)),X_158))),
inference(subst,[],[refute_0_948:[bind(X_152,$fot(meet(X_101,join(meet(X_160,X_101),X_158)))),bind(X_154,$fot(X_158)),bind(X_22,$fot(X_101)),bind(X_23,$fot(X_7))]]) ).
cnf(refute_0_950,plain,
( meet(X_101,meet(X_7,join(meet(X_101,join(meet(X_160,X_101),X_158)),X_158))) != meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))
| meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) != meet(X_101,meet(X_7,join(meet(X_101,join(meet(X_160,X_101),X_158)),X_158)))
| meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) = meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)))),bind(Y0,$fot(meet(X_101,meet(X_7,join(meet(X_101,join(meet(X_160,X_101),X_158)),X_158))))),bind(Z0,$fot(meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))))]]) ).
cnf(refute_0_951,plain,
( meet(X_101,meet(X_7,join(meet(X_101,join(meet(X_160,X_101),X_158)),X_158))) != meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))
| meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) = meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) ),
inference(resolve,[$cnf( $equal(meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)),meet(X_101,meet(X_7,join(meet(X_101,join(meet(X_160,X_101),X_158)),X_158)))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) = meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))),
inference(resolve,[$cnf( $equal(meet(X_101,meet(X_7,join(meet(X_101,join(meet(X_160,X_101),X_158)),X_158))),meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))) )],[refute_0_943,refute_0_951]) ).
cnf(refute_0_953,plain,
( meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) != meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))
| meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) != meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))
| meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) = meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)),meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))) ),[0],$fot(meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))))]]) ).
cnf(refute_0_954,plain,
( meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)) != meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))
| meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) = meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))) ),
inference(resolve,[$cnf( $equal(meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)),meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) = meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))),
inference(resolve,[$cnf( $equal(meet(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),meet(X_101,X_7)),meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))) )],[refute_0_931,refute_0_954]) ).
cnf(refute_0_956,plain,
meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))) = meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))),
inference(subst,[],[refute_0_955:[bind(X_101,$fot(X_22)),bind(X_7,$fot(join(Y,X_22)))]]) ).
cnf(refute_0_957,plain,
( join(meet(X_22,X_160),meet(X_158,X_22)) != meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))))
| meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))) != meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22)))
| join(meet(X_22,X_160),meet(X_158,X_22)) = meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_22,X_160),meet(X_158,X_22)),meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22)))) ),[0],$fot(meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))))]]) ).
cnf(refute_0_958,plain,
( join(meet(X_22,X_160),meet(X_158,X_22)) != meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))))
| join(meet(X_22,X_160),meet(X_158,X_22)) = meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158))))),meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22)))) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
join(meet(X_22,X_160),meet(X_158,X_22)) = meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_160),meet(X_158,X_22)),meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,join(meet(X_160,X_22),X_158)))))) )],[refute_0_924,refute_0_958]) ).
cnf(refute_0_960,plain,
( meet(X_22,X_24) != meet(X_22,meet(join(Y,X_22),X_24))
| meet(X_22,meet(join(Y,X_22),X_24)) = meet(X_22,X_24) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_22,X_24))),bind(Y0,$fot(meet(X_22,meet(join(Y,X_22),X_24))))]]) ).
cnf(refute_0_961,plain,
meet(X_22,meet(join(Y,X_22),X_24)) = meet(X_22,X_24),
inference(resolve,[$cnf( $equal(meet(X_22,X_24),meet(X_22,meet(join(Y,X_22),X_24))) )],[refute_0_645,refute_0_960]) ).
cnf(refute_0_962,plain,
meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,X_160)))) = meet(X_22,join(X_158,meet(X_22,X_160))),
inference(subst,[],[refute_0_961:[bind(X_24,$fot(join(X_158,meet(X_22,X_160))))]]) ).
cnf(refute_0_963,plain,
join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))))) = join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))),
inference(subst,[],[refute_0_325:[bind(X_26,$fot(meet(X_7,join(meet(X_160,X_7),X_25))))]]) ).
cnf(refute_0_964,plain,
join(meet(X_7,X_160),meet(X_25,X_7)) = meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))),
inference(subst,[],[refute_0_289:[bind(X_36,$fot(X_25)),bind(X_37,$fot(X_7)),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_965,plain,
( join(meet(X_7,X_160),meet(X_25,X_7)) != meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))))
| meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))) = join(meet(X_7,X_160),meet(X_25,X_7)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_7,X_160),meet(X_25,X_7)))),bind(Y0,$fot(meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))))))]]) ).
cnf(refute_0_966,plain,
meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))) = join(meet(X_7,X_160),meet(X_25,X_7)),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_160),meet(X_25,X_7)),meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))))) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
( join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))))) != join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))
| meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))) != join(meet(X_7,X_160),meet(X_25,X_7))
| join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) = join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))))),join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))) ),[0,1,1],$fot(join(meet(X_7,X_160),meet(X_25,X_7)))]]) ).
cnf(refute_0_968,plain,
( join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))))) != join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))
| join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) = join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))) ),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))),join(meet(X_7,X_160),meet(X_25,X_7))) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) = join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))))),join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))) )],[refute_0_963,refute_0_968]) ).
cnf(refute_0_970,plain,
join(X_25,join(meet(X_81,X_80),meet(X_7,join(X_25,meet(X_81,X_80))))) = join(X_25,meet(X_81,X_80)),
inference(subst,[],[refute_0_325:[bind(X_26,$fot(meet(X_81,X_80)))]]) ).
cnf(refute_0_971,plain,
join(X_25,meet(X_81,X_80)) = join(meet(X_80,X_81),X_25),
inference(subst,[],[refute_0_464:[bind(X_18,$fot(X_80)),bind(X_7,$fot(X_81)),bind(X_74,$fot(X_25))]]) ).
cnf(refute_0_972,plain,
( join(X_25,join(meet(X_81,X_80),meet(X_7,join(X_25,meet(X_81,X_80))))) != join(X_25,meet(X_81,X_80))
| join(X_25,meet(X_81,X_80)) != join(meet(X_80,X_81),X_25)
| join(X_25,join(meet(X_81,X_80),meet(X_7,join(meet(X_80,X_81),X_25)))) = join(X_25,meet(X_81,X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(meet(X_81,X_80),meet(X_7,join(X_25,meet(X_81,X_80))))),join(X_25,meet(X_81,X_80))) ),[0,1,1,1],$fot(join(meet(X_80,X_81),X_25))]]) ).
cnf(refute_0_973,plain,
( join(X_25,join(meet(X_81,X_80),meet(X_7,join(X_25,meet(X_81,X_80))))) != join(X_25,meet(X_81,X_80))
| join(X_25,join(meet(X_81,X_80),meet(X_7,join(meet(X_80,X_81),X_25)))) = join(X_25,meet(X_81,X_80)) ),
inference(resolve,[$cnf( $equal(join(X_25,meet(X_81,X_80)),join(meet(X_80,X_81),X_25)) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
join(X_25,join(meet(X_81,X_80),meet(X_7,join(meet(X_80,X_81),X_25)))) = join(X_25,meet(X_81,X_80)),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_81,X_80),meet(X_7,join(X_25,meet(X_81,X_80))))),join(X_25,meet(X_81,X_80))) )],[refute_0_970,refute_0_973]) ).
cnf(refute_0_975,plain,
join(X_25,join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25)))) = join(X_25,meet(X_7,X_160)),
inference(subst,[],[refute_0_974:[bind(X_80,$fot(X_160)),bind(X_81,$fot(X_7))]]) ).
cnf(refute_0_976,plain,
( join(X_25,X_27) != join(X_25,join(meet(X_25,Y),X_27))
| join(X_25,join(meet(X_25,Y),X_27)) = join(X_25,X_27) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_25,X_27))),bind(Y0,$fot(join(X_25,join(meet(X_25,Y),X_27))))]]) ).
cnf(refute_0_977,plain,
join(X_25,join(meet(X_25,Y),X_27)) = join(X_25,X_27),
inference(resolve,[$cnf( $equal(join(X_25,X_27),join(X_25,join(meet(X_25,Y),X_27))) )],[refute_0_337,refute_0_976]) ).
cnf(refute_0_978,plain,
join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))) = join(X_25,join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25)))),
inference(subst,[],[refute_0_977:[bind(Y,$fot(X_7)),bind(X_27,$fot(join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25)))))]]) ).
cnf(refute_0_979,plain,
( join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))) != join(X_25,join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))
| join(X_25,join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25)))) != join(X_25,meet(X_7,X_160))
| join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))) = join(X_25,meet(X_7,X_160)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))))),bind(Y0,$fot(join(X_25,join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25)))))),bind(Z0,$fot(join(X_25,meet(X_7,X_160))))]]) ).
cnf(refute_0_980,plain,
( join(X_25,join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25)))) != join(X_25,meet(X_7,X_160))
| join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))) = join(X_25,meet(X_7,X_160)) ),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))),join(X_25,join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))) = join(X_25,meet(X_7,X_160)),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25)))),join(X_25,meet(X_7,X_160))) )],[refute_0_975,refute_0_980]) ).
cnf(refute_0_982,plain,
meet(join(X_29,join(X,Y)),join(join(X,Y),X_29)) = join(X_29,join(X,Y)),
inference(subst,[],[refute_0_354:[bind(Y,$fot(join(X,Y))),bind(X_14,$fot(X_29))]]) ).
cnf(refute_0_983,plain,
join(join(X,Y),X_29) = join(X,join(Y,X_29)),
inference(subst,[],[associativity_of_join:[bind(Z,$fot(X_29))]]) ).
cnf(refute_0_984,plain,
( join(join(X,Y),X_29) != join(X,join(Y,X_29))
| meet(join(X_29,join(X,Y)),join(join(X,Y),X_29)) != join(X_29,join(X,Y))
| meet(join(X_29,join(X,Y)),join(X,join(Y,X_29))) = join(X_29,join(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,join(X,Y)),join(join(X,Y),X_29)),join(X_29,join(X,Y))) ),[0,1],$fot(join(X,join(Y,X_29)))]]) ).
cnf(refute_0_985,plain,
( meet(join(X_29,join(X,Y)),join(join(X,Y),X_29)) != join(X_29,join(X,Y))
| meet(join(X_29,join(X,Y)),join(X,join(Y,X_29))) = join(X_29,join(X,Y)) ),
inference(resolve,[$cnf( $equal(join(join(X,Y),X_29),join(X,join(Y,X_29))) )],[refute_0_983,refute_0_984]) ).
cnf(refute_0_986,plain,
meet(join(X_29,join(X,Y)),join(X,join(Y,X_29))) = join(X_29,join(X,Y)),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(X,Y)),join(join(X,Y),X_29)),join(X_29,join(X,Y))) )],[refute_0_982,refute_0_985]) ).
cnf(refute_0_987,plain,
meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))) = join(X_130,join(X_128,join(X_27,X_26))),
inference(subst,[],[refute_0_986:[bind(X,$fot(X_128)),bind(Y,$fot(join(X_27,X_26))),bind(X_29,$fot(X_130))]]) ).
cnf(refute_0_988,plain,
join(X_128,join(X_26,X_27)) = join(X_128,join(X_27,X_26)),
inference(subst,[],[refute_0_621:[bind(X_25,$fot(X_128))]]) ).
cnf(refute_0_989,plain,
( join(X_128,join(X_26,X_27)) != join(X_128,join(X_27,X_26))
| join(X_128,join(X_27,X_26)) = join(X_128,join(X_26,X_27)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_128,join(X_26,X_27)))),bind(Y0,$fot(join(X_128,join(X_27,X_26))))]]) ).
cnf(refute_0_990,plain,
join(X_128,join(X_27,X_26)) = join(X_128,join(X_26,X_27)),
inference(resolve,[$cnf( $equal(join(X_128,join(X_26,X_27)),join(X_128,join(X_27,X_26))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
( join(X_128,join(X_27,X_26)) != join(X_128,join(X_26,X_27))
| meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))) != join(X_130,join(X_128,join(X_27,X_26)))
| meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))) = join(X_130,join(X_128,join(X_26,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))),join(X_130,join(X_128,join(X_27,X_26)))) ),[1,1],$fot(join(X_128,join(X_26,X_27)))]]) ).
cnf(refute_0_992,plain,
( meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))) != join(X_130,join(X_128,join(X_27,X_26)))
| meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))) = join(X_130,join(X_128,join(X_26,X_27))) ),
inference(resolve,[$cnf( $equal(join(X_128,join(X_27,X_26)),join(X_128,join(X_26,X_27))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))) = join(X_130,join(X_128,join(X_26,X_27))),
inference(resolve,[$cnf( $equal(meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))),join(X_130,join(X_128,join(X_27,X_26)))) )],[refute_0_987,refute_0_992]) ).
cnf(refute_0_994,plain,
( meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))) != join(X_130,join(X_128,join(X_26,X_27)))
| meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))) != join(X_130,join(X_128,join(X_27,X_26)))
| join(X_130,join(X_128,join(X_27,X_26))) = join(X_130,join(X_128,join(X_26,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))),join(X_130,join(X_128,join(X_26,X_27)))) ),[0],$fot(join(X_130,join(X_128,join(X_27,X_26))))]]) ).
cnf(refute_0_995,plain,
( meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))) != join(X_130,join(X_128,join(X_26,X_27)))
| join(X_130,join(X_128,join(X_27,X_26))) = join(X_130,join(X_128,join(X_26,X_27))) ),
inference(resolve,[$cnf( $equal(meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))),join(X_130,join(X_128,join(X_27,X_26)))) )],[refute_0_987,refute_0_994]) ).
cnf(refute_0_996,plain,
join(X_130,join(X_128,join(X_27,X_26))) = join(X_130,join(X_128,join(X_26,X_27))),
inference(resolve,[$cnf( $equal(meet(join(X_130,join(X_128,join(X_27,X_26))),join(X_128,join(join(X_27,X_26),X_130))),join(X_130,join(X_128,join(X_26,X_27)))) )],[refute_0_993,refute_0_995]) ).
cnf(refute_0_997,plain,
( join(X_130,join(X_128,join(X_27,X_26))) != join(X_130,join(X_128,join(X_26,X_27)))
| join(X_130,join(X_128,join(X_26,X_27))) = join(X_130,join(X_128,join(X_27,X_26))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_130,join(X_128,join(X_27,X_26))))),bind(Y0,$fot(join(X_130,join(X_128,join(X_26,X_27)))))]]) ).
cnf(refute_0_998,plain,
join(X_130,join(X_128,join(X_26,X_27))) = join(X_130,join(X_128,join(X_27,X_26))),
inference(resolve,[$cnf( $equal(join(X_130,join(X_128,join(X_27,X_26))),join(X_130,join(X_128,join(X_26,X_27)))) )],[refute_0_996,refute_0_997]) ).
cnf(refute_0_999,plain,
join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))) = join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))),
inference(subst,[],[refute_0_998:[bind(X_128,$fot(meet(X_25,X_7))),bind(X_130,$fot(X_25)),bind(X_26,$fot(meet(X_7,join(meet(X_160,X_7),X_25)))),bind(X_27,$fot(meet(X_7,X_160)))]]) ).
cnf(refute_0_1000,plain,
( join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))) != join(X_25,meet(X_7,X_160))
| join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))) != join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25)))))
| join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))) = join(X_25,meet(X_7,X_160)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))))),bind(Y0,$fot(join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))))),bind(Z0,$fot(join(X_25,meet(X_7,X_160))))]]) ).
cnf(refute_0_1001,plain,
( join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))) != join(X_25,meet(X_7,X_160))
| join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))) = join(X_25,meet(X_7,X_160)) ),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))),join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25)))))) )],[refute_0_999,refute_0_1000]) ).
cnf(refute_0_1002,plain,
join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))) = join(X_25,meet(X_7,X_160)),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_25,X_7),join(meet(X_7,X_160),meet(X_7,join(meet(X_160,X_7),X_25))))),join(X_25,meet(X_7,X_160))) )],[refute_0_981,refute_0_1001]) ).
cnf(refute_0_1003,plain,
join(X_147,meet(join(X_29,join(X,Y)),join(X,join(Y,X_29)))) = join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))),
inference(subst,[],[refute_0_560:[bind(X_18,$fot(join(X_29,join(X,Y)))),bind(X_63,$fot(X_147)),bind(X_7,$fot(join(X,join(Y,X_29))))]]) ).
cnf(refute_0_1004,plain,
( join(X_147,meet(join(X_29,join(X,Y)),join(X,join(Y,X_29)))) != join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))))
| meet(join(X_29,join(X,Y)),join(X,join(Y,X_29))) != join(X_29,join(X,Y))
| join(X_147,join(X_29,join(X,Y))) = join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_147,meet(join(X_29,join(X,Y)),join(X,join(Y,X_29)))),join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))))) ),[0,1],$fot(join(X_29,join(X,Y)))]]) ).
cnf(refute_0_1005,plain,
( join(X_147,meet(join(X_29,join(X,Y)),join(X,join(Y,X_29)))) != join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))))
| join(X_147,join(X_29,join(X,Y))) = join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(X,Y)),join(X,join(Y,X_29))),join(X_29,join(X,Y))) )],[refute_0_986,refute_0_1004]) ).
cnf(refute_0_1006,plain,
join(X_147,join(X_29,join(X,Y))) = join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))),
inference(resolve,[$cnf( $equal(join(X_147,meet(join(X_29,join(X,Y)),join(X,join(Y,X_29)))),join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))))) )],[refute_0_1003,refute_0_1005]) ).
cnf(refute_0_1007,plain,
meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))) = join(X,join(Y,X_29)),
inference(subst,[],[refute_0_362:[bind(X_28,$fot(X_29))]]) ).
cnf(refute_0_1008,plain,
join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))) = join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))),
introduced(tautology,[refl,[$fot(join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))))]]) ).
cnf(refute_0_1009,plain,
( join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))) != join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))))
| meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))) != join(X,join(Y,X_29))
| join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))) = join(X_147,join(X,join(Y,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))),join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))))) ),[1,1],$fot(join(X,join(Y,X_29)))]]) ).
cnf(refute_0_1010,plain,
( meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))) != join(X,join(Y,X_29))
| join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))) = join(X_147,join(X,join(Y,X_29))) ),
inference(resolve,[$cnf( $equal(join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))),join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))))) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))) = join(X_147,join(X,join(Y,X_29))),
inference(resolve,[$cnf( $equal(meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))),join(X,join(Y,X_29))) )],[refute_0_1007,refute_0_1010]) ).
cnf(refute_0_1012,plain,
( join(X_147,join(X_29,join(X,Y))) != join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))))
| join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))) != join(X_147,join(X,join(Y,X_29)))
| join(X_147,join(X_29,join(X,Y))) = join(X_147,join(X,join(Y,X_29))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_147,join(X_29,join(X,Y))),join(X_147,join(X,join(Y,X_29)))) ),[0],$fot(join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))))]]) ).
cnf(refute_0_1013,plain,
( join(X_147,join(X_29,join(X,Y))) != join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))))
| join(X_147,join(X_29,join(X,Y))) = join(X_147,join(X,join(Y,X_29))) ),
inference(resolve,[$cnf( $equal(join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y)))),join(X_147,join(X,join(Y,X_29)))) )],[refute_0_1011,refute_0_1012]) ).
cnf(refute_0_1014,plain,
join(X_147,join(X_29,join(X,Y))) = join(X_147,join(X,join(Y,X_29))),
inference(resolve,[$cnf( $equal(join(X_147,join(X_29,join(X,Y))),join(X_147,meet(join(X,join(Y,X_29)),join(X_29,join(X,Y))))) )],[refute_0_1006,refute_0_1013]) ).
cnf(refute_0_1015,plain,
( join(X_147,join(X_29,join(X,Y))) != join(X_147,join(X,join(Y,X_29)))
| join(X_147,join(X,join(Y,X_29))) = join(X_147,join(X_29,join(X,Y))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_147,join(X_29,join(X,Y))))),bind(Y0,$fot(join(X_147,join(X,join(Y,X_29)))))]]) ).
cnf(refute_0_1016,plain,
join(X_147,join(X,join(Y,X_29))) = join(X_147,join(X_29,join(X,Y))),
inference(resolve,[$cnf( $equal(join(X_147,join(X_29,join(X,Y))),join(X_147,join(X,join(Y,X_29)))) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) = join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))),
inference(subst,[],[refute_0_1016:[bind(X,$fot(meet(X_7,join(meet(X_160,X_7),X_25)))),bind(Y,$fot(meet(X_7,X_160))),bind(X_147,$fot(X_25)),bind(X_29,$fot(meet(X_25,X_7)))]]) ).
cnf(refute_0_1018,plain,
( join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))) != join(X_25,meet(X_7,X_160))
| join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) != join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160))))
| join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) = join(X_25,meet(X_7,X_160)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))))),bind(Y0,$fot(join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))))),bind(Z0,$fot(join(X_25,meet(X_7,X_160))))]]) ).
cnf(refute_0_1019,plain,
( join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))) != join(X_25,meet(X_7,X_160))
| join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) = join(X_25,meet(X_7,X_160)) ),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))),join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160))))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) = join(X_25,meet(X_7,X_160)),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_25,X_7),join(meet(X_7,join(meet(X_160,X_7),X_25)),meet(X_7,X_160)))),join(X_25,meet(X_7,X_160))) )],[refute_0_1002,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) != join(X_25,meet(X_7,X_160))
| join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) != join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))
| join(X_25,meet(X_7,X_160)) = join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))),join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))) ),[0],$fot(join(X_25,meet(X_7,X_160)))]]) ).
cnf(refute_0_1022,plain,
( join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))) != join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))
| join(X_25,meet(X_7,X_160)) = join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))) ),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))),join(X_25,meet(X_7,X_160))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
join(X_25,meet(X_7,X_160)) = join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_7,join(meet(X_160,X_7),X_25)),join(meet(X_7,X_160),meet(X_25,X_7)))),join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))) )],[refute_0_969,refute_0_1022]) ).
cnf(refute_0_1024,plain,
( join(X_25,meet(X_7,X_160)) != join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))
| join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))) = join(X_25,meet(X_7,X_160)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_25,meet(X_7,X_160)))),bind(Y0,$fot(join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))))]]) ).
cnf(refute_0_1025,plain,
join(X_25,meet(X_7,join(meet(X_160,X_7),X_25))) = join(X_25,meet(X_7,X_160)),
inference(resolve,[$cnf( $equal(join(X_25,meet(X_7,X_160)),join(X_25,meet(X_7,join(meet(X_160,X_7),X_25)))) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))) = join(X_158,meet(X_101,X_160)),
inference(subst,[],[refute_0_1025:[bind(X_25,$fot(X_158)),bind(X_7,$fot(X_101))]]) ).
cnf(refute_0_1027,plain,
meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))) = meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))),
introduced(tautology,[refl,[$fot(meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))]]) ).
cnf(refute_0_1028,plain,
( join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))) != join(X_158,meet(X_101,X_160))
| meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))) != meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))
| meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))) = meet(X_7,join(X_158,meet(X_101,X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))),meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) ),[1,1],$fot(join(X_158,meet(X_101,X_160)))]]) ).
cnf(refute_0_1029,plain,
( join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))) != join(X_158,meet(X_101,X_160))
| meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))) = meet(X_7,join(X_158,meet(X_101,X_160))) ),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))),meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))) = meet(X_7,join(X_158,meet(X_101,X_160))),
inference(resolve,[$cnf( $equal(join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))),join(X_158,meet(X_101,X_160))) )],[refute_0_1026,refute_0_1029]) ).
cnf(refute_0_1031,plain,
meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) = meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))),
introduced(tautology,[refl,[$fot(meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))))]]) ).
cnf(refute_0_1032,plain,
( meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) != meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))
| meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))) != meet(X_7,join(X_158,meet(X_101,X_160)))
| meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) = meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))),meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))) ),[1,1],$fot(meet(X_7,join(X_158,meet(X_101,X_160))))]]) ).
cnf(refute_0_1033,plain,
( meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))) != meet(X_7,join(X_158,meet(X_101,X_160)))
| meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) = meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))) ),
inference(resolve,[$cnf( $equal(meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))),meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))))) )],[refute_0_1031,refute_0_1032]) ).
cnf(refute_0_1034,plain,
meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) = meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158)))),meet(X_7,join(X_158,meet(X_101,X_160)))) )],[refute_0_1030,refute_0_1033]) ).
cnf(refute_0_1035,plain,
( meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) != meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160))))
| meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) != meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))
| meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))) = meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))),meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))) ),[0],$fot(meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))))]]) ).
cnf(refute_0_1036,plain,
( meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))) != meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))
| meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))) = meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))) ),
inference(resolve,[$cnf( $equal(meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))),meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160))))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))) = meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))),
inference(resolve,[$cnf( $equal(meet(X_101,meet(X_7,join(X_158,meet(X_101,join(meet(X_160,X_101),X_158))))),meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))) )],[refute_0_955,refute_0_1036]) ).
cnf(refute_0_1038,plain,
( meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))) != meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))
| meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))) = meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))))),bind(Y0,$fot(meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))))]]) ).
cnf(refute_0_1039,plain,
meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101))) = meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))),
inference(resolve,[$cnf( $equal(meet(X_101,meet(X_7,join(X_158,meet(X_101,X_160)))),meet(X_7,join(meet(X_101,X_160),meet(X_158,X_101)))) )],[refute_0_1037,refute_0_1038]) ).
cnf(refute_0_1040,plain,
meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))) = meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,X_160)))),
inference(subst,[],[refute_0_1039:[bind(X_101,$fot(X_22)),bind(X_7,$fot(join(Y,X_22)))]]) ).
cnf(refute_0_1041,plain,
( meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,X_160)))) != meet(X_22,join(X_158,meet(X_22,X_160)))
| meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))) != meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,X_160))))
| meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))) = meet(X_22,join(X_158,meet(X_22,X_160))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))))),bind(Y0,$fot(meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,X_160)))))),bind(Z0,$fot(meet(X_22,join(X_158,meet(X_22,X_160)))))]]) ).
cnf(refute_0_1042,plain,
( meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,X_160)))) != meet(X_22,join(X_158,meet(X_22,X_160)))
| meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))) = meet(X_22,join(X_158,meet(X_22,X_160))) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))),meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,X_160))))) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))) = meet(X_22,join(X_158,meet(X_22,X_160))),
inference(resolve,[$cnf( $equal(meet(X_22,meet(join(Y,X_22),join(X_158,meet(X_22,X_160)))),meet(X_22,join(X_158,meet(X_22,X_160)))) )],[refute_0_962,refute_0_1042]) ).
cnf(refute_0_1044,plain,
( join(meet(X_22,X_160),meet(X_158,X_22)) != meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22)))
| meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))) != meet(X_22,join(X_158,meet(X_22,X_160)))
| join(meet(X_22,X_160),meet(X_158,X_22)) = meet(X_22,join(X_158,meet(X_22,X_160))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_22,X_160),meet(X_158,X_22)),meet(X_22,join(X_158,meet(X_22,X_160)))) ),[0],$fot(meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))))]]) ).
cnf(refute_0_1045,plain,
( join(meet(X_22,X_160),meet(X_158,X_22)) != meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22)))
| join(meet(X_22,X_160),meet(X_158,X_22)) = meet(X_22,join(X_158,meet(X_22,X_160))) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22))),meet(X_22,join(X_158,meet(X_22,X_160)))) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
join(meet(X_22,X_160),meet(X_158,X_22)) = meet(X_22,join(X_158,meet(X_22,X_160))),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_160),meet(X_158,X_22)),meet(join(Y,X_22),join(meet(X_22,X_160),meet(X_158,X_22)))) )],[refute_0_959,refute_0_1045]) ).
cnf(refute_0_1047,plain,
( join(meet(X_22,X_160),meet(X_158,X_22)) != meet(X_22,join(X_158,meet(X_22,X_160)))
| meet(X_22,join(X_158,meet(X_22,X_160))) = join(meet(X_22,X_160),meet(X_158,X_22)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_22,X_160),meet(X_158,X_22)))),bind(Y0,$fot(meet(X_22,join(X_158,meet(X_22,X_160)))))]]) ).
cnf(refute_0_1048,plain,
meet(X_22,join(X_158,meet(X_22,X_160))) = join(meet(X_22,X_160),meet(X_158,X_22)),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_160),meet(X_158,X_22)),meet(X_22,join(X_158,meet(X_22,X_160)))) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) = join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)),
inference(subst,[],[refute_0_1048:[bind(X_158,$fot(X_36)),bind(X_160,$fot(join(meet(X_37,Y),X_36))),bind(X_22,$fot(X_37))]]) ).
cnf(refute_0_1050,plain,
( join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)) != meet(X_37,join(meet(X_37,Y),X_36))
| meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) != join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37))
| meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) = meet(X_37,join(meet(X_37,Y),X_36)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))))),bind(Y0,$fot(join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)))),bind(Z0,$fot(meet(X_37,join(meet(X_37,Y),X_36))))]]) ).
cnf(refute_0_1051,plain,
( join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)) != meet(X_37,join(meet(X_37,Y),X_36))
| meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) = meet(X_37,join(meet(X_37,Y),X_36)) ),
inference(resolve,[$cnf( $equal(meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))),join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37))) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) = meet(X_37,join(meet(X_37,Y),X_36)),
inference(resolve,[$cnf( $equal(join(meet(X_37,join(meet(X_37,Y),X_36)),meet(X_36,X_37)),meet(X_37,join(meet(X_37,Y),X_36))) )],[refute_0_917,refute_0_1051]) ).
cnf(refute_0_1053,plain,
( join(meet(X_37,Y),meet(X_36,X_37)) != meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36))))
| meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))) != meet(X_37,join(meet(X_37,Y),X_36))
| join(meet(X_37,Y),meet(X_36,X_37)) = meet(X_37,join(meet(X_37,Y),X_36)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_37,Y),meet(X_36,X_37)),meet(X_37,join(meet(X_37,Y),X_36))) ),[0],$fot(meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))))]]) ).
cnf(refute_0_1054,plain,
( join(meet(X_37,Y),meet(X_36,X_37)) != meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36))))
| join(meet(X_37,Y),meet(X_36,X_37)) = meet(X_37,join(meet(X_37,Y),X_36)) ),
inference(resolve,[$cnf( $equal(meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36)))),meet(X_37,join(meet(X_37,Y),X_36))) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
join(meet(X_37,Y),meet(X_36,X_37)) = meet(X_37,join(meet(X_37,Y),X_36)),
inference(resolve,[$cnf( $equal(join(meet(X_37,Y),meet(X_36,X_37)),meet(X_37,join(X_36,meet(X_37,join(meet(X_37,Y),X_36))))) )],[refute_0_540,refute_0_1054]) ).
cnf(refute_0_1056,plain,
( join(meet(X_37,Y),meet(X_36,X_37)) != meet(X_37,join(meet(X_37,Y),X_36))
| meet(X_37,join(meet(X_37,Y),X_36)) = join(meet(X_37,Y),meet(X_36,X_37)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_37,Y),meet(X_36,X_37)))),bind(Y0,$fot(meet(X_37,join(meet(X_37,Y),X_36))))]]) ).
cnf(refute_0_1057,plain,
meet(X_37,join(meet(X_37,Y),X_36)) = join(meet(X_37,Y),meet(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(meet(X_37,Y),meet(X_36,X_37)),meet(X_37,join(meet(X_37,Y),X_36))) )],[refute_0_1055,refute_0_1056]) ).
cnf(refute_0_1058,plain,
meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(meet(Y,join(meet(X_38,Y),X_39)),X_39)),
inference(subst,[],[refute_0_1057:[bind(Y,$fot(X_38)),bind(X_36,$fot(meet(Y,join(meet(X_38,Y),X_39)))),bind(X_37,$fot(X_39))]]) ).
cnf(refute_0_1059,plain,
( join(meet(X_39,X_38),meet(meet(Y,join(meet(X_38,Y),X_39)),X_39)) != join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39))))
| meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) != join(meet(X_39,X_38),meet(meet(Y,join(meet(X_38,Y),X_39)),X_39))
| meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))))),bind(Y0,$fot(join(meet(X_39,X_38),meet(meet(Y,join(meet(X_38,Y),X_39)),X_39)))),bind(Z0,$fot(join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39))))))]]) ).
cnf(refute_0_1060,plain,
( join(meet(X_39,X_38),meet(meet(Y,join(meet(X_38,Y),X_39)),X_39)) != join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39))))
| meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))),join(meet(X_39,X_38),meet(meet(Y,join(meet(X_38,Y),X_39)),X_39))) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))),
inference(resolve,[$cnf( $equal(join(meet(X_39,X_38),meet(meet(Y,join(meet(X_38,Y),X_39)),X_39)),join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39))))) )],[refute_0_484,refute_0_1060]) ).
cnf(refute_0_1062,plain,
( join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))) != join(meet(X_39,X_38),meet(Y,X_39))
| meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) != join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39))))
| meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(Y,X_39)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))))),bind(Y0,$fot(join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))))),bind(Z0,$fot(join(meet(X_39,X_38),meet(Y,X_39))))]]) ).
cnf(refute_0_1063,plain,
( join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))) != join(meet(X_39,X_38),meet(Y,X_39))
| meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(Y,X_39)) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))),join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39))))) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) = join(meet(X_39,X_38),meet(Y,X_39)),
inference(resolve,[$cnf( $equal(join(meet(X_39,X_38),meet(X_39,meet(Y,join(meet(X_38,Y),X_39)))),join(meet(X_39,X_38),meet(Y,X_39))) )],[refute_0_416,refute_0_1063]) ).
cnf(refute_0_1065,plain,
( meet(X_39,join(Y,meet(join(X_38,Y),X_39))) != meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39))))
| meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))) != join(meet(X_39,X_38),meet(Y,X_39))
| meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = join(meet(X_39,X_38),meet(Y,X_39)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_39,join(Y,meet(join(X_38,Y),X_39))),join(meet(X_39,X_38),meet(Y,X_39))) ),[0],$fot(meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))))]]) ).
cnf(refute_0_1066,plain,
( meet(X_39,join(Y,meet(join(X_38,Y),X_39))) != meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39))))
| meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = join(meet(X_39,X_38),meet(Y,X_39)) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39)))),join(meet(X_39,X_38),meet(Y,X_39))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = join(meet(X_39,X_38),meet(Y,X_39)),
inference(resolve,[$cnf( $equal(meet(X_39,join(Y,meet(join(X_38,Y),X_39))),meet(X_39,join(meet(X_39,X_38),meet(Y,join(meet(X_38,Y),X_39))))) )],[refute_0_404,refute_0_1066]) ).
cnf(refute_0_1068,plain,
join(meet(X_89,join(Y,X_90)),meet(X_90,meet(join(Y,X_90),X_89))) = meet(X_89,join(Y,X_90)),
inference(subst,[],[refute_0_606:[bind(Y,$fot(X_89)),bind(X_32,$fot(X_90)),bind(X_33,$fot(join(Y,X_90)))]]) ).
cnf(refute_0_1069,plain,
meet(X_90,X_89) = meet(X_90,meet(join(Y,X_90),X_89)),
inference(subst,[],[refute_0_645:[bind(X_22,$fot(X_90)),bind(X_24,$fot(X_89))]]) ).
cnf(refute_0_1070,plain,
( meet(X_90,X_89) != meet(X_90,meet(join(Y,X_90),X_89))
| meet(X_90,meet(join(Y,X_90),X_89)) = meet(X_90,X_89) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_90,X_89))),bind(Y0,$fot(meet(X_90,meet(join(Y,X_90),X_89))))]]) ).
cnf(refute_0_1071,plain,
meet(X_90,meet(join(Y,X_90),X_89)) = meet(X_90,X_89),
inference(resolve,[$cnf( $equal(meet(X_90,X_89),meet(X_90,meet(join(Y,X_90),X_89))) )],[refute_0_1069,refute_0_1070]) ).
cnf(refute_0_1072,plain,
( join(meet(X_89,join(Y,X_90)),meet(X_90,meet(join(Y,X_90),X_89))) != meet(X_89,join(Y,X_90))
| meet(X_90,meet(join(Y,X_90),X_89)) != meet(X_90,X_89)
| join(meet(X_89,join(Y,X_90)),meet(X_90,X_89)) = meet(X_89,join(Y,X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_89,join(Y,X_90)),meet(X_90,meet(join(Y,X_90),X_89))),meet(X_89,join(Y,X_90))) ),[0,1],$fot(meet(X_90,X_89))]]) ).
cnf(refute_0_1073,plain,
( join(meet(X_89,join(Y,X_90)),meet(X_90,meet(join(Y,X_90),X_89))) != meet(X_89,join(Y,X_90))
| join(meet(X_89,join(Y,X_90)),meet(X_90,X_89)) = meet(X_89,join(Y,X_90)) ),
inference(resolve,[$cnf( $equal(meet(X_90,meet(join(Y,X_90),X_89)),meet(X_90,X_89)) )],[refute_0_1071,refute_0_1072]) ).
cnf(refute_0_1074,plain,
join(meet(X_89,join(Y,X_90)),meet(X_90,X_89)) = meet(X_89,join(Y,X_90)),
inference(resolve,[$cnf( $equal(join(meet(X_89,join(Y,X_90)),meet(X_90,meet(join(Y,X_90),X_89))),meet(X_89,join(Y,X_90))) )],[refute_0_1068,refute_0_1073]) ).
cnf(refute_0_1075,plain,
join(meet(X_89,join(Y,X_90)),meet(X_90,X_89)) = join(meet(X_89,X_90),meet(X_89,join(Y,X_90))),
inference(subst,[],[refute_0_464:[bind(X_18,$fot(X_89)),bind(X_7,$fot(X_90)),bind(X_74,$fot(meet(X_89,join(Y,X_90))))]]) ).
cnf(refute_0_1076,plain,
( join(meet(X_89,join(Y,X_90)),meet(X_90,X_89)) != join(meet(X_89,X_90),meet(X_89,join(Y,X_90)))
| join(meet(X_89,join(Y,X_90)),meet(X_90,X_89)) != meet(X_89,join(Y,X_90))
| join(meet(X_89,X_90),meet(X_89,join(Y,X_90))) = meet(X_89,join(Y,X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_89,join(Y,X_90)),meet(X_90,X_89)),meet(X_89,join(Y,X_90))) ),[0],$fot(join(meet(X_89,X_90),meet(X_89,join(Y,X_90))))]]) ).
cnf(refute_0_1077,plain,
( join(meet(X_89,join(Y,X_90)),meet(X_90,X_89)) != meet(X_89,join(Y,X_90))
| join(meet(X_89,X_90),meet(X_89,join(Y,X_90))) = meet(X_89,join(Y,X_90)) ),
inference(resolve,[$cnf( $equal(join(meet(X_89,join(Y,X_90)),meet(X_90,X_89)),join(meet(X_89,X_90),meet(X_89,join(Y,X_90)))) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
join(meet(X_89,X_90),meet(X_89,join(Y,X_90))) = meet(X_89,join(Y,X_90)),
inference(resolve,[$cnf( $equal(join(meet(X_89,join(Y,X_90)),meet(X_90,X_89)),meet(X_89,join(Y,X_90))) )],[refute_0_1074,refute_0_1077]) ).
cnf(refute_0_1079,plain,
join(meet(X_39,Y),meet(X_39,join(X_38,Y))) = meet(X_39,join(X_38,Y)),
inference(subst,[],[refute_0_1078:[bind(Y,$fot(X_38)),bind(X_89,$fot(X_39)),bind(X_90,$fot(Y))]]) ).
cnf(refute_0_1080,plain,
meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) = meet(meet(X_42,join(meet(X_160,X_42),Y)),meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y))))),
inference(subst,[],[refute_0_409:[bind(X_41,$fot(meet(X_42,join(meet(X_160,X_42),Y))))]]) ).
cnf(refute_0_1081,plain,
join(meet(X_42,X_160),meet(Y,X_42)) = meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y)))),
inference(subst,[],[refute_0_289:[bind(X_36,$fot(Y)),bind(X_37,$fot(X_42)),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_1082,plain,
( join(meet(X_42,X_160),meet(Y,X_42)) != meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y))))
| meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y)))) = join(meet(X_42,X_160),meet(Y,X_42)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_42,X_160),meet(Y,X_42)))),bind(Y0,$fot(meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y))))))]]) ).
cnf(refute_0_1083,plain,
meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y)))) = join(meet(X_42,X_160),meet(Y,X_42)),
inference(resolve,[$cnf( $equal(join(meet(X_42,X_160),meet(Y,X_42)),meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y))))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y)))) != join(meet(X_42,X_160),meet(Y,X_42))
| meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) != meet(meet(X_42,join(meet(X_160,X_42),Y)),meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y)))))
| meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) = meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))),meet(meet(X_42,join(meet(X_160,X_42),Y)),meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y)))))) ),[1,1],$fot(join(meet(X_42,X_160),meet(Y,X_42)))]]) ).
cnf(refute_0_1085,plain,
( meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) != meet(meet(X_42,join(meet(X_160,X_42),Y)),meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y)))))
| meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) = meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) ),
inference(resolve,[$cnf( $equal(meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y)))),join(meet(X_42,X_160),meet(Y,X_42))) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) = meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))),
inference(resolve,[$cnf( $equal(meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))),meet(meet(X_42,join(meet(X_160,X_42),Y)),meet(X_42,join(Y,meet(X_42,join(meet(X_160,X_42),Y)))))) )],[refute_0_1080,refute_0_1085]) ).
cnf(refute_0_1087,plain,
meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) = meet(X_42,join(meet(X_160,X_42),Y)),
inference(subst,[],[refute_0_513:[bind(X_18,$fot(join(meet(X_160,X_42),Y))),bind(X_19,$fot(X_42))]]) ).
cnf(refute_0_1088,plain,
( meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) != meet(X_42,join(meet(X_160,X_42),Y))
| meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) != meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42)))
| meet(X_42,join(meet(X_160,X_42),Y)) = meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))),meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42)))) ),[0],$fot(meet(X_42,join(meet(X_160,X_42),Y)))]]) ).
cnf(refute_0_1089,plain,
( meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) != meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42)))
| meet(X_42,join(meet(X_160,X_42),Y)) = meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) ),
inference(resolve,[$cnf( $equal(meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))),meet(X_42,join(meet(X_160,X_42),Y))) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
meet(X_77,meet(join(X_154,X_152),X_79)) = meet(X_77,meet(X_79,join(X_154,X_152))),
inference(subst,[],[refute_0_700:[bind(Y,$fot(join(X_154,X_152)))]]) ).
cnf(refute_0_1091,plain,
meet(X_79,join(X_154,X_152)) = meet(X_79,join(X_152,X_154)),
inference(subst,[],[refute_0_898:[bind(Y,$fot(X_152)),bind(X_134,$fot(X_79)),bind(X_14,$fot(X_154))]]) ).
cnf(refute_0_1092,plain,
( meet(X_77,meet(join(X_154,X_152),X_79)) != meet(X_77,meet(X_79,join(X_154,X_152)))
| meet(X_79,join(X_154,X_152)) != meet(X_79,join(X_152,X_154))
| meet(X_77,meet(join(X_154,X_152),X_79)) = meet(X_77,meet(X_79,join(X_152,X_154))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_77,meet(join(X_154,X_152),X_79)),meet(X_77,meet(X_79,join(X_154,X_152)))) ),[1,1],$fot(meet(X_79,join(X_152,X_154)))]]) ).
cnf(refute_0_1093,plain,
( meet(X_77,meet(join(X_154,X_152),X_79)) != meet(X_77,meet(X_79,join(X_154,X_152)))
| meet(X_77,meet(join(X_154,X_152),X_79)) = meet(X_77,meet(X_79,join(X_152,X_154))) ),
inference(resolve,[$cnf( $equal(meet(X_79,join(X_154,X_152)),meet(X_79,join(X_152,X_154))) )],[refute_0_1091,refute_0_1092]) ).
cnf(refute_0_1094,plain,
meet(X_77,meet(join(X_154,X_152),X_79)) = meet(X_77,meet(X_79,join(X_152,X_154))),
inference(resolve,[$cnf( $equal(meet(X_77,meet(join(X_154,X_152),X_79)),meet(X_77,meet(X_79,join(X_154,X_152)))) )],[refute_0_1090,refute_0_1093]) ).
cnf(refute_0_1095,plain,
( meet(X_77,meet(join(X_154,X_152),X_79)) != meet(X_77,meet(X_79,join(X_152,X_154)))
| meet(X_77,meet(X_79,join(X_152,X_154))) = meet(X_77,meet(join(X_154,X_152),X_79)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_77,meet(join(X_154,X_152),X_79)))),bind(Y0,$fot(meet(X_77,meet(X_79,join(X_152,X_154)))))]]) ).
cnf(refute_0_1096,plain,
meet(X_77,meet(X_79,join(X_152,X_154))) = meet(X_77,meet(join(X_154,X_152),X_79)),
inference(resolve,[$cnf( $equal(meet(X_77,meet(join(X_154,X_152),X_79)),meet(X_77,meet(X_79,join(X_152,X_154)))) )],[refute_0_1094,refute_0_1095]) ).
cnf(refute_0_1097,plain,
meet(X_42,meet(join(meet(Y,X_42),meet(X_42,X_160)),join(Y,meet(X_160,X_42)))) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))),
inference(subst,[],[refute_0_1096:[bind(X_152,$fot(Y)),bind(X_154,$fot(meet(X_160,X_42))),bind(X_77,$fot(X_42)),bind(X_79,$fot(join(meet(Y,X_42),meet(X_42,X_160))))]]) ).
cnf(refute_0_1098,plain,
meet(X_23,meet(X_22,join(X_154,X_152))) = meet(X_22,meet(X_23,join(X_154,X_152))),
inference(subst,[],[refute_0_183:[bind(X_24,$fot(join(X_154,X_152)))]]) ).
cnf(refute_0_1099,plain,
( meet(X_23,join(X_154,X_152)) != meet(X_23,join(X_152,X_154))
| meet(X_23,meet(X_22,join(X_154,X_152))) != meet(X_22,meet(X_23,join(X_154,X_152)))
| meet(X_23,meet(X_22,join(X_154,X_152))) = meet(X_22,meet(X_23,join(X_152,X_154))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_23,meet(X_22,join(X_154,X_152))),meet(X_22,meet(X_23,join(X_154,X_152)))) ),[1,1],$fot(meet(X_23,join(X_152,X_154)))]]) ).
cnf(refute_0_1100,plain,
( meet(X_23,meet(X_22,join(X_154,X_152))) != meet(X_22,meet(X_23,join(X_154,X_152)))
| meet(X_23,meet(X_22,join(X_154,X_152))) = meet(X_22,meet(X_23,join(X_152,X_154))) ),
inference(resolve,[$cnf( $equal(meet(X_23,join(X_154,X_152)),meet(X_23,join(X_152,X_154))) )],[refute_0_945,refute_0_1099]) ).
cnf(refute_0_1101,plain,
meet(X_23,meet(X_22,join(X_154,X_152))) = meet(X_22,meet(X_23,join(X_152,X_154))),
inference(resolve,[$cnf( $equal(meet(X_23,meet(X_22,join(X_154,X_152))),meet(X_22,meet(X_23,join(X_154,X_152)))) )],[refute_0_1098,refute_0_1100]) ).
cnf(refute_0_1102,plain,
( meet(X_23,meet(X_22,join(X_154,X_152))) != meet(X_22,meet(X_23,join(X_152,X_154)))
| meet(X_22,meet(X_23,join(X_152,X_154))) = meet(X_23,meet(X_22,join(X_154,X_152))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_23,meet(X_22,join(X_154,X_152))))),bind(Y0,$fot(meet(X_22,meet(X_23,join(X_152,X_154)))))]]) ).
cnf(refute_0_1103,plain,
meet(X_22,meet(X_23,join(X_152,X_154))) = meet(X_23,meet(X_22,join(X_154,X_152))),
inference(resolve,[$cnf( $equal(meet(X_23,meet(X_22,join(X_154,X_152))),meet(X_22,meet(X_23,join(X_152,X_154)))) )],[refute_0_1101,refute_0_1102]) ).
cnf(refute_0_1104,plain,
meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))) = meet(X_42,meet(join(meet(Y,X_42),meet(X_42,X_160)),join(Y,meet(X_160,X_42)))),
inference(subst,[],[refute_0_1103:[bind(X_152,$fot(meet(X_160,X_42))),bind(X_154,$fot(Y)),bind(X_22,$fot(join(meet(Y,X_42),meet(X_42,X_160)))),bind(X_23,$fot(X_42))]]) ).
cnf(refute_0_1105,plain,
( meet(X_42,meet(join(meet(Y,X_42),meet(X_42,X_160)),join(Y,meet(X_160,X_42)))) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))) != meet(X_42,meet(join(meet(Y,X_42),meet(X_42,X_160)),join(Y,meet(X_160,X_42))))
| meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))))),bind(Y0,$fot(meet(X_42,meet(join(meet(Y,X_42),meet(X_42,X_160)),join(Y,meet(X_160,X_42)))))),bind(Z0,$fot(meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))))]]) ).
cnf(refute_0_1106,plain,
( meet(X_42,meet(join(meet(Y,X_42),meet(X_42,X_160)),join(Y,meet(X_160,X_42)))) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))),meet(X_42,meet(join(meet(Y,X_42),meet(X_42,X_160)),join(Y,meet(X_160,X_42))))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(meet(Y,X_42),meet(X_42,X_160)),join(Y,meet(X_160,X_42)))),meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))) )],[refute_0_1097,refute_0_1106]) ).
cnf(refute_0_1108,plain,
meet(join(X_154,X_152),Y) = meet(Y,join(X_154,X_152)),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(join(X_154,X_152)))]]) ).
cnf(refute_0_1109,plain,
meet(Y,join(X_154,X_152)) = meet(Y,join(X_152,X_154)),
inference(subst,[],[refute_0_898:[bind(Y,$fot(X_152)),bind(X_134,$fot(Y)),bind(X_14,$fot(X_154))]]) ).
cnf(refute_0_1110,plain,
( meet(Y,join(X_154,X_152)) != meet(Y,join(X_152,X_154))
| meet(join(X_154,X_152),Y) != meet(Y,join(X_154,X_152))
| meet(join(X_154,X_152),Y) = meet(Y,join(X_152,X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_154,X_152),Y),meet(Y,join(X_154,X_152))) ),[1],$fot(meet(Y,join(X_152,X_154)))]]) ).
cnf(refute_0_1111,plain,
( meet(join(X_154,X_152),Y) != meet(Y,join(X_154,X_152))
| meet(join(X_154,X_152),Y) = meet(Y,join(X_152,X_154)) ),
inference(resolve,[$cnf( $equal(meet(Y,join(X_154,X_152)),meet(Y,join(X_152,X_154))) )],[refute_0_1109,refute_0_1110]) ).
cnf(refute_0_1112,plain,
meet(join(X_154,X_152),Y) = meet(Y,join(X_152,X_154)),
inference(resolve,[$cnf( $equal(meet(join(X_154,X_152),Y),meet(Y,join(X_154,X_152))) )],[refute_0_1108,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( meet(join(X_154,X_152),Y) != meet(Y,join(X_152,X_154))
| meet(Y,join(X_152,X_154)) = meet(join(X_154,X_152),Y) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(join(X_154,X_152),Y))),bind(Y0,$fot(meet(Y,join(X_152,X_154))))]]) ).
cnf(refute_0_1114,plain,
meet(Y,join(X_152,X_154)) = meet(join(X_154,X_152),Y),
inference(resolve,[$cnf( $equal(meet(join(X_154,X_152),Y),meet(Y,join(X_152,X_154))) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) = meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))),
inference(subst,[],[refute_0_1114:[bind(Y,$fot(meet(X_42,join(meet(X_160,X_42),Y)))),bind(X_152,$fot(meet(X_42,X_160))),bind(X_154,$fot(meet(Y,X_42)))]]) ).
cnf(refute_0_1116,plain,
( meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) != meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y)))
| meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))))),bind(Y0,$fot(meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))))),bind(Z0,$fot(meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))))]]) ).
cnf(refute_0_1117,plain,
( meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))),meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y)))) )],[refute_0_1115,refute_0_1116]) ).
cnf(refute_0_1118,plain,
meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,X_42),meet(X_42,X_160)),meet(X_42,join(meet(X_160,X_42),Y))),meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))) )],[refute_0_1107,refute_0_1117]) ).
cnf(refute_0_1119,plain,
( meet(X_42,join(meet(X_160,X_42),Y)) != meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42)))
| meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| meet(X_42,join(meet(X_160,X_42),Y)) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_42,join(meet(X_160,X_42),Y)),meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))) ),[0],$fot(meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))))]]) ).
cnf(refute_0_1120,plain,
( meet(X_42,join(meet(X_160,X_42),Y)) != meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42)))
| meet(X_42,join(meet(X_160,X_42),Y)) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))),meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))) )],[refute_0_1118,refute_0_1119]) ).
cnf(refute_0_1121,plain,
( meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))) != meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42)))
| meet(X_42,join(meet(X_160,X_42),Y)) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) ),
inference(resolve,[$cnf( $equal(meet(X_42,join(meet(X_160,X_42),Y)),meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42)))) )],[refute_0_1089,refute_0_1120]) ).
cnf(refute_0_1122,plain,
meet(X_42,join(meet(X_160,X_42),Y)) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))),
inference(resolve,[$cnf( $equal(meet(X_42,meet(X_42,join(meet(X_160,X_42),Y))),meet(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42)))) )],[refute_0_1086,refute_0_1121]) ).
cnf(refute_0_1123,plain,
join(meet(X_36,X_37),meet(X_37,join(meet(X_7,X_37),X_36))) = meet(X_37,join(meet(X_7,X_37),X_36)),
inference(subst,[],[refute_0_551:[bind(X_7,$fot(X_36)),bind(X_83,$fot(meet(X_7,X_37))),bind(X_85,$fot(X_37))]]) ).
cnf(refute_0_1124,plain,
join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)) = join(meet(X_36,X_37),meet(X_37,join(meet(X_7,X_37),X_36))),
inference(subst,[],[refute_0_902:[bind(X_152,$fot(meet(X_7,X_37))),bind(X_154,$fot(X_36)),bind(X_63,$fot(meet(X_36,X_37))),bind(X_7,$fot(X_37))]]) ).
cnf(refute_0_1125,plain,
( join(meet(X_36,X_37),meet(X_37,join(meet(X_7,X_37),X_36))) != meet(X_37,join(meet(X_7,X_37),X_36))
| join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)) != join(meet(X_36,X_37),meet(X_37,join(meet(X_7,X_37),X_36)))
| join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)) = meet(X_37,join(meet(X_7,X_37),X_36)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)))),bind(Y0,$fot(join(meet(X_36,X_37),meet(X_37,join(meet(X_7,X_37),X_36))))),bind(Z0,$fot(meet(X_37,join(meet(X_7,X_37),X_36))))]]) ).
cnf(refute_0_1126,plain,
( join(meet(X_36,X_37),meet(X_37,join(meet(X_7,X_37),X_36))) != meet(X_37,join(meet(X_7,X_37),X_36))
| join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)) = meet(X_37,join(meet(X_7,X_37),X_36)) ),
inference(resolve,[$cnf( $equal(join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)),join(meet(X_36,X_37),meet(X_37,join(meet(X_7,X_37),X_36)))) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)) = meet(X_37,join(meet(X_7,X_37),X_36)),
inference(resolve,[$cnf( $equal(join(meet(X_36,X_37),meet(X_37,join(meet(X_7,X_37),X_36))),meet(X_37,join(meet(X_7,X_37),X_36))) )],[refute_0_1123,refute_0_1126]) ).
cnf(refute_0_1128,plain,
join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)) = join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)),
inference(subst,[],[refute_0_913:[bind(X_152,$fot(meet(X_7,X_37))),bind(X_154,$fot(X_36)),bind(X_18,$fot(X_37)),bind(X_74,$fot(meet(X_36,X_37)))]]) ).
cnf(refute_0_1129,plain,
( join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)) != meet(X_37,join(meet(X_7,X_37),X_36))
| join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)) != join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37))
| join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)) = meet(X_37,join(meet(X_7,X_37),X_36)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)))),bind(Y0,$fot(join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)))),bind(Z0,$fot(meet(X_37,join(meet(X_7,X_37),X_36))))]]) ).
cnf(refute_0_1130,plain,
( join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)) != meet(X_37,join(meet(X_7,X_37),X_36))
| join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)) = meet(X_37,join(meet(X_7,X_37),X_36)) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)),join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37))) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)) = meet(X_37,join(meet(X_7,X_37),X_36)),
inference(resolve,[$cnf( $equal(join(meet(X_36,X_37),meet(join(X_36,meet(X_7,X_37)),X_37)),meet(X_37,join(meet(X_7,X_37),X_36))) )],[refute_0_1127,refute_0_1130]) ).
cnf(refute_0_1132,plain,
meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) = join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)),
inference(subst,[],[refute_0_1048:[bind(X_158,$fot(X_36)),bind(X_160,$fot(join(meet(X_7,X_37),X_36))),bind(X_22,$fot(X_37))]]) ).
cnf(refute_0_1133,plain,
( join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)) != meet(X_37,join(meet(X_7,X_37),X_36))
| meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) != join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37))
| meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) = meet(X_37,join(meet(X_7,X_37),X_36)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))))),bind(Y0,$fot(join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)))),bind(Z0,$fot(meet(X_37,join(meet(X_7,X_37),X_36))))]]) ).
cnf(refute_0_1134,plain,
( join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)) != meet(X_37,join(meet(X_7,X_37),X_36))
| meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) = meet(X_37,join(meet(X_7,X_37),X_36)) ),
inference(resolve,[$cnf( $equal(meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))),join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37))) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) = meet(X_37,join(meet(X_7,X_37),X_36)),
inference(resolve,[$cnf( $equal(join(meet(X_37,join(meet(X_7,X_37),X_36)),meet(X_36,X_37)),meet(X_37,join(meet(X_7,X_37),X_36))) )],[refute_0_1131,refute_0_1134]) ).
cnf(refute_0_1136,plain,
( join(meet(X_37,X_7),meet(X_36,X_37)) != meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))))
| meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))) != meet(X_37,join(meet(X_7,X_37),X_36))
| join(meet(X_37,X_7),meet(X_36,X_37)) = meet(X_37,join(meet(X_7,X_37),X_36)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_37,X_7),meet(X_36,X_37)),meet(X_37,join(meet(X_7,X_37),X_36))) ),[0],$fot(meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))))]]) ).
cnf(refute_0_1137,plain,
( join(meet(X_37,X_7),meet(X_36,X_37)) != meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))))
| join(meet(X_37,X_7),meet(X_36,X_37)) = meet(X_37,join(meet(X_7,X_37),X_36)) ),
inference(resolve,[$cnf( $equal(meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36)))),meet(X_37,join(meet(X_7,X_37),X_36))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
join(meet(X_37,X_7),meet(X_36,X_37)) = meet(X_37,join(meet(X_7,X_37),X_36)),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_7),meet(X_36,X_37)),meet(X_37,join(X_36,meet(X_37,join(meet(X_7,X_37),X_36))))) )],[refute_0_289,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( join(meet(X_37,X_7),meet(X_36,X_37)) != meet(X_37,join(meet(X_7,X_37),X_36))
| meet(X_37,join(meet(X_7,X_37),X_36)) = join(meet(X_37,X_7),meet(X_36,X_37)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_37,X_7),meet(X_36,X_37)))),bind(Y0,$fot(meet(X_37,join(meet(X_7,X_37),X_36))))]]) ).
cnf(refute_0_1140,plain,
meet(X_37,join(meet(X_7,X_37),X_36)) = join(meet(X_37,X_7),meet(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(meet(X_37,X_7),meet(X_36,X_37)),meet(X_37,join(meet(X_7,X_37),X_36))) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
meet(X_42,join(meet(X_160,X_42),Y)) = join(meet(X_42,X_160),meet(Y,X_42)),
inference(subst,[],[refute_0_1140:[bind(X_36,$fot(Y)),bind(X_37,$fot(X_42)),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_1142,plain,
( meet(X_42,join(meet(X_160,X_42),Y)) != join(meet(X_42,X_160),meet(Y,X_42))
| meet(X_42,join(meet(X_160,X_42),Y)) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| join(meet(X_42,X_160),meet(Y,X_42)) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,join(meet(X_160,X_42),Y)),meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))) ),[0],$fot(join(meet(X_42,X_160),meet(Y,X_42)))]]) ).
cnf(refute_0_1143,plain,
( meet(X_42,join(meet(X_160,X_42),Y)) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| join(meet(X_42,X_160),meet(Y,X_42)) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) ),
inference(resolve,[$cnf( $equal(meet(X_42,join(meet(X_160,X_42),Y)),join(meet(X_42,X_160),meet(Y,X_42))) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
meet(X_42,meet(X_160,X_42)) = meet(X_42,X_160),
inference(subst,[],[refute_0_115:[bind(Y,$fot(X_160)),bind(X_13,$fot(X_42))]]) ).
cnf(refute_0_1145,plain,
join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))) = join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))),
introduced(tautology,[refl,[$fot(join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))))]]) ).
cnf(refute_0_1146,plain,
( join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))) != join(meet(X_42,Y),meet(X_42,meet(X_160,X_42)))
| meet(X_42,meet(X_160,X_42)) != meet(X_42,X_160)
| join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))) = join(meet(X_42,Y),meet(X_42,X_160)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))),join(meet(X_42,Y),meet(X_42,meet(X_160,X_42)))) ),[1,1],$fot(meet(X_42,X_160))]]) ).
cnf(refute_0_1147,plain,
( meet(X_42,meet(X_160,X_42)) != meet(X_42,X_160)
| join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))) = join(meet(X_42,Y),meet(X_42,X_160)) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))),join(meet(X_42,Y),meet(X_42,meet(X_160,X_42)))) )],[refute_0_1145,refute_0_1146]) ).
cnf(refute_0_1148,plain,
join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))) = join(meet(X_42,Y),meet(X_42,X_160)),
inference(resolve,[$cnf( $equal(meet(X_42,meet(X_160,X_42)),meet(X_42,X_160)) )],[refute_0_1144,refute_0_1147]) ).
cnf(refute_0_1149,plain,
meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) = meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158)))),
inference(subst,[],[refute_0_513:[bind(X_18,$fot(join(X_158,meet(X_19,join(meet(X_160,X_19),X_158)))))]]) ).
cnf(refute_0_1150,plain,
join(meet(X_19,X_160),meet(X_158,X_19)) = meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158)))),
inference(subst,[],[refute_0_289:[bind(X_36,$fot(X_158)),bind(X_37,$fot(X_19)),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_1151,plain,
( join(meet(X_19,X_160),meet(X_158,X_19)) != meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))
| meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158)))) = join(meet(X_19,X_160),meet(X_158,X_19)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_19,X_160),meet(X_158,X_19)))),bind(Y0,$fot(meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))))]]) ).
cnf(refute_0_1152,plain,
meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158)))) = join(meet(X_19,X_160),meet(X_158,X_19)),
inference(resolve,[$cnf( $equal(join(meet(X_19,X_160),meet(X_158,X_19)),meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158)))) != join(meet(X_19,X_160),meet(X_158,X_19))
| meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) != meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))
| meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) = join(meet(X_19,X_160),meet(X_158,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))),meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) ),[1],$fot(join(meet(X_19,X_160),meet(X_158,X_19)))]]) ).
cnf(refute_0_1154,plain,
( meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) != meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))
| meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) = join(meet(X_19,X_160),meet(X_158,X_19)) ),
inference(resolve,[$cnf( $equal(meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158)))),join(meet(X_19,X_160),meet(X_158,X_19))) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) = join(meet(X_19,X_160),meet(X_158,X_19)),
inference(resolve,[$cnf( $equal(meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))),meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) )],[refute_0_1149,refute_0_1154]) ).
cnf(refute_0_1156,plain,
meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) = meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))),
inference(subst,[],[refute_0_955:[bind(X_101,$fot(X_19)),bind(X_7,$fot(X_19))]]) ).
cnf(refute_0_1157,plain,
( meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) != join(meet(X_19,X_160),meet(X_158,X_19))
| meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) != meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19)))
| meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_158,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))),join(meet(X_19,X_160),meet(X_158,X_19))) ),[0],$fot(meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))))]]) ).
cnf(refute_0_1158,plain,
( meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))) != join(meet(X_19,X_160),meet(X_158,X_19))
| meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_158,X_19)) ),
inference(resolve,[$cnf( $equal(meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))),meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19)))) )],[refute_0_1156,refute_0_1157]) ).
cnf(refute_0_1159,plain,
meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_158,X_19)),
inference(resolve,[$cnf( $equal(meet(X_19,meet(X_19,join(X_158,meet(X_19,join(meet(X_160,X_19),X_158))))),join(meet(X_19,X_160),meet(X_158,X_19))) )],[refute_0_1155,refute_0_1158]) ).
cnf(refute_0_1160,plain,
meet(X_19,meet(X_158,X_19)) = meet(X_19,X_158),
inference(subst,[],[refute_0_115:[bind(Y,$fot(X_158)),bind(X_13,$fot(X_19))]]) ).
cnf(refute_0_1161,plain,
join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))),
introduced(tautology,[refl,[$fot(join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))))]]) ).
cnf(refute_0_1162,plain,
( join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))) != join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19)))
| meet(X_19,meet(X_158,X_19)) != meet(X_19,X_158)
| join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_19,X_158)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))),join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19)))) ),[1,1],$fot(meet(X_19,X_158))]]) ).
cnf(refute_0_1163,plain,
( meet(X_19,meet(X_158,X_19)) != meet(X_19,X_158)
| join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_19,X_158)) ),
inference(resolve,[$cnf( $equal(join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))),join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19)))) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_19,X_158)),
inference(resolve,[$cnf( $equal(meet(X_19,meet(X_158,X_19)),meet(X_19,X_158)) )],[refute_0_1160,refute_0_1163]) ).
cnf(refute_0_1165,plain,
join(meet(X_19,X_160),meet(meet(X_158,X_19),X_19)) = join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))),
inference(subst,[],[refute_0_483:[bind(X_119,$fot(meet(X_19,X_160))),bind(X_18,$fot(meet(X_158,X_19))),bind(X_7,$fot(X_19))]]) ).
cnf(refute_0_1166,plain,
meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) = join(meet(X_19,X_160),meet(meet(X_158,X_19),X_19)),
inference(subst,[],[refute_0_1057:[bind(Y,$fot(X_160)),bind(X_36,$fot(meet(X_158,X_19))),bind(X_37,$fot(X_19))]]) ).
cnf(refute_0_1167,plain,
( join(meet(X_19,X_160),meet(meet(X_158,X_19),X_19)) != join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19)))
| meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) != join(meet(X_19,X_160),meet(meet(X_158,X_19),X_19))
| meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))))),bind(Y0,$fot(join(meet(X_19,X_160),meet(meet(X_158,X_19),X_19)))),bind(Z0,$fot(join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19)))))]]) ).
cnf(refute_0_1168,plain,
( join(meet(X_19,X_160),meet(meet(X_158,X_19),X_19)) != join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19)))
| meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))) ),
inference(resolve,[$cnf( $equal(meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))),join(meet(X_19,X_160),meet(meet(X_158,X_19),X_19))) )],[refute_0_1166,refute_0_1167]) ).
cnf(refute_0_1169,plain,
meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))),
inference(resolve,[$cnf( $equal(join(meet(X_19,X_160),meet(meet(X_158,X_19),X_19)),join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19)))) )],[refute_0_1165,refute_0_1168]) ).
cnf(refute_0_1170,plain,
( join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))) != join(meet(X_19,X_160),meet(X_19,X_158))
| meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) != join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19)))
| meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_19,X_158)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))))),bind(Y0,$fot(join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))))),bind(Z0,$fot(join(meet(X_19,X_160),meet(X_19,X_158))))]]) ).
cnf(refute_0_1171,plain,
( join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))) != join(meet(X_19,X_160),meet(X_19,X_158))
| meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_19,X_158)) ),
inference(resolve,[$cnf( $equal(meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))),join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19)))) )],[refute_0_1169,refute_0_1170]) ).
cnf(refute_0_1172,plain,
meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) = join(meet(X_19,X_160),meet(X_19,X_158)),
inference(resolve,[$cnf( $equal(join(meet(X_19,X_160),meet(X_19,meet(X_158,X_19))),join(meet(X_19,X_160),meet(X_19,X_158))) )],[refute_0_1164,refute_0_1171]) ).
cnf(refute_0_1173,plain,
( meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) != join(meet(X_19,X_160),meet(X_158,X_19))
| meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) != join(meet(X_19,X_160),meet(X_19,X_158))
| join(meet(X_19,X_160),meet(X_19,X_158)) = join(meet(X_19,X_160),meet(X_158,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))),join(meet(X_19,X_160),meet(X_158,X_19))) ),[0],$fot(join(meet(X_19,X_160),meet(X_19,X_158)))]]) ).
cnf(refute_0_1174,plain,
( meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))) != join(meet(X_19,X_160),meet(X_158,X_19))
| join(meet(X_19,X_160),meet(X_19,X_158)) = join(meet(X_19,X_160),meet(X_158,X_19)) ),
inference(resolve,[$cnf( $equal(meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))),join(meet(X_19,X_160),meet(X_19,X_158))) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
join(meet(X_19,X_160),meet(X_19,X_158)) = join(meet(X_19,X_160),meet(X_158,X_19)),
inference(resolve,[$cnf( $equal(meet(X_19,join(meet(X_19,X_160),meet(X_158,X_19))),join(meet(X_19,X_160),meet(X_158,X_19))) )],[refute_0_1159,refute_0_1174]) ).
cnf(refute_0_1176,plain,
( join(meet(X_19,X_160),meet(X_19,X_158)) != join(meet(X_19,X_160),meet(X_158,X_19))
| join(meet(X_19,X_160),meet(X_158,X_19)) = join(meet(X_19,X_160),meet(X_19,X_158)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_19,X_160),meet(X_19,X_158)))),bind(Y0,$fot(join(meet(X_19,X_160),meet(X_158,X_19))))]]) ).
cnf(refute_0_1177,plain,
join(meet(X_19,X_160),meet(X_158,X_19)) = join(meet(X_19,X_160),meet(X_19,X_158)),
inference(resolve,[$cnf( $equal(join(meet(X_19,X_160),meet(X_19,X_158)),join(meet(X_19,X_160),meet(X_158,X_19))) )],[refute_0_1175,refute_0_1176]) ).
cnf(refute_0_1178,plain,
join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)) = join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))),
inference(subst,[],[refute_0_1177:[bind(X_158,$fot(meet(X_160,X_42))),bind(X_160,$fot(Y)),bind(X_19,$fot(X_42))]]) ).
cnf(refute_0_1179,plain,
( join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))) != join(meet(X_42,Y),meet(X_42,X_160))
| join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)) != join(meet(X_42,Y),meet(X_42,meet(X_160,X_42)))
| join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)) = join(meet(X_42,Y),meet(X_42,X_160)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)))),bind(Y0,$fot(join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))))),bind(Z0,$fot(join(meet(X_42,Y),meet(X_42,X_160))))]]) ).
cnf(refute_0_1180,plain,
( join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))) != join(meet(X_42,Y),meet(X_42,X_160))
| join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)) = join(meet(X_42,Y),meet(X_42,X_160)) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)),join(meet(X_42,Y),meet(X_42,meet(X_160,X_42)))) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)) = join(meet(X_42,Y),meet(X_42,X_160)),
inference(resolve,[$cnf( $equal(join(meet(X_42,Y),meet(X_42,meet(X_160,X_42))),join(meet(X_42,Y),meet(X_42,X_160))) )],[refute_0_1148,refute_0_1180]) ).
cnf(refute_0_1182,plain,
meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))) = join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)),
inference(subst,[],[refute_0_1048:[bind(X_158,$fot(meet(X_160,X_42))),bind(X_160,$fot(Y)),bind(X_22,$fot(X_42))]]) ).
cnf(refute_0_1183,plain,
( join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)) != join(meet(X_42,Y),meet(X_42,X_160))
| meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))) != join(meet(X_42,Y),meet(meet(X_160,X_42),X_42))
| meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))) = join(meet(X_42,Y),meet(X_42,X_160)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))))),bind(Y0,$fot(join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)))),bind(Z0,$fot(join(meet(X_42,Y),meet(X_42,X_160))))]]) ).
cnf(refute_0_1184,plain,
( join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)) != join(meet(X_42,Y),meet(X_42,X_160))
| meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))) = join(meet(X_42,Y),meet(X_42,X_160)) ),
inference(resolve,[$cnf( $equal(meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))),join(meet(X_42,Y),meet(meet(X_160,X_42),X_42))) )],[refute_0_1182,refute_0_1183]) ).
cnf(refute_0_1185,plain,
meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))) = join(meet(X_42,Y),meet(X_42,X_160)),
inference(resolve,[$cnf( $equal(join(meet(X_42,Y),meet(meet(X_160,X_42),X_42)),join(meet(X_42,Y),meet(X_42,X_160))) )],[refute_0_1181,refute_0_1184]) ).
cnf(refute_0_1186,plain,
meet(Y,meet(X_42,join(meet(X_42,X_160),Y))) = meet(X_42,Y),
inference(subst,[],[refute_0_411:[bind(Y,$fot(meet(X_42,X_160))),bind(X_41,$fot(Y))]]) ).
cnf(refute_0_1187,plain,
meet(meet(Y,X_42),join(meet(X_42,X_160),Y)) = meet(Y,meet(X_42,join(meet(X_42,X_160),Y))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(Y)),bind(Y,$fot(X_42)),bind(Z,$fot(join(meet(X_42,X_160),Y)))]]) ).
cnf(refute_0_1188,plain,
( meet(Y,meet(X_42,join(meet(X_42,X_160),Y))) != meet(X_42,Y)
| meet(meet(Y,X_42),join(meet(X_42,X_160),Y)) != meet(Y,meet(X_42,join(meet(X_42,X_160),Y)))
| meet(meet(Y,X_42),join(meet(X_42,X_160),Y)) = meet(X_42,Y) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(Y,X_42),join(meet(X_42,X_160),Y)))),bind(Y0,$fot(meet(Y,meet(X_42,join(meet(X_42,X_160),Y))))),bind(Z0,$fot(meet(X_42,Y)))]]) ).
cnf(refute_0_1189,plain,
( meet(Y,meet(X_42,join(meet(X_42,X_160),Y))) != meet(X_42,Y)
| meet(meet(Y,X_42),join(meet(X_42,X_160),Y)) = meet(X_42,Y) ),
inference(resolve,[$cnf( $equal(meet(meet(Y,X_42),join(meet(X_42,X_160),Y)),meet(Y,meet(X_42,join(meet(X_42,X_160),Y)))) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
meet(meet(Y,X_42),join(meet(X_42,X_160),Y)) = meet(X_42,Y),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_42,join(meet(X_42,X_160),Y))),meet(X_42,Y)) )],[refute_0_1186,refute_0_1189]) ).
cnf(refute_0_1191,plain,
join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))) = join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))),
introduced(tautology,[refl,[$fot(join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))))]]) ).
cnf(refute_0_1192,plain,
( join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))) != join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y)))
| meet(meet(Y,X_42),join(meet(X_42,X_160),Y)) != meet(X_42,Y)
| join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))) = join(meet(X_160,X_42),meet(X_42,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))),join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y)))) ),[1,1],$fot(meet(X_42,Y))]]) ).
cnf(refute_0_1193,plain,
( meet(meet(Y,X_42),join(meet(X_42,X_160),Y)) != meet(X_42,Y)
| join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))) = join(meet(X_160,X_42),meet(X_42,Y)) ),
inference(resolve,[$cnf( $equal(join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))),join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y)))) )],[refute_0_1191,refute_0_1192]) ).
cnf(refute_0_1194,plain,
join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))) = join(meet(X_160,X_42),meet(X_42,Y)),
inference(resolve,[$cnf( $equal(meet(meet(Y,X_42),join(meet(X_42,X_160),Y)),meet(X_42,Y)) )],[refute_0_1190,refute_0_1193]) ).
cnf(refute_0_1195,plain,
join(meet(X_160,X_42),meet(join(Y,meet(X_42,X_160)),meet(Y,X_42))) = join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))),
inference(subst,[],[refute_0_902:[bind(X_152,$fot(meet(X_42,X_160))),bind(X_154,$fot(Y)),bind(X_63,$fot(meet(X_160,X_42))),bind(X_7,$fot(meet(Y,X_42)))]]) ).
cnf(refute_0_1196,plain,
join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = meet(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(X_145,X_144),X_143))),bind(Z,$fot(meet(X_144,X_145)))]]) ).
cnf(refute_0_1197,plain,
join(join(meet(X_30,X_31),meet(X_31,X_30)),Z) = join(meet(X_30,X_31),join(meet(X_31,X_30),Z)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_30,X_31))),bind(Y,$fot(meet(X_31,X_30)))]]) ).
cnf(refute_0_1198,plain,
join(meet(X_30,X_31),meet(X_31,X_30)) = meet(X_30,X_31),
inference(subst,[],[refute_0_449:[bind(X_18,$fot(X_30)),bind(X_7,$fot(X_31))]]) ).
cnf(refute_0_1199,plain,
( join(join(meet(X_30,X_31),meet(X_31,X_30)),Z) != join(meet(X_30,X_31),join(meet(X_31,X_30),Z))
| join(meet(X_30,X_31),meet(X_31,X_30)) != meet(X_30,X_31)
| join(meet(X_30,X_31),Z) = join(meet(X_30,X_31),join(meet(X_31,X_30),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_30,X_31),meet(X_31,X_30)),Z),join(meet(X_30,X_31),join(meet(X_31,X_30),Z))) ),[0,0],$fot(meet(X_30,X_31))]]) ).
cnf(refute_0_1200,plain,
( join(join(meet(X_30,X_31),meet(X_31,X_30)),Z) != join(meet(X_30,X_31),join(meet(X_31,X_30),Z))
| join(meet(X_30,X_31),Z) = join(meet(X_30,X_31),join(meet(X_31,X_30),Z)) ),
inference(resolve,[$cnf( $equal(join(meet(X_30,X_31),meet(X_31,X_30)),meet(X_30,X_31)) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
join(meet(X_30,X_31),Z) = join(meet(X_30,X_31),join(meet(X_31,X_30),Z)),
inference(resolve,[$cnf( $equal(join(join(meet(X_30,X_31),meet(X_31,X_30)),Z),join(meet(X_30,X_31),join(meet(X_31,X_30),Z))) )],[refute_0_1197,refute_0_1200]) ).
cnf(refute_0_1202,plain,
join(meet(X_144,X_145),X_143) = join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),
inference(subst,[],[refute_0_1201:[bind(Z,$fot(X_143)),bind(X_30,$fot(X_144)),bind(X_31,$fot(X_145))]]) ).
cnf(refute_0_1203,plain,
( join(meet(X_144,X_145),X_143) != join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))
| join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) = join(meet(X_144,X_145),X_143) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_144,X_145),X_143))),bind(Y0,$fot(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))))]]) ).
cnf(refute_0_1204,plain,
join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) = join(meet(X_144,X_145),X_143),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),X_143),join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) )],[refute_0_1202,refute_0_1203]) ).
cnf(refute_0_1205,plain,
( join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) != join(meet(X_144,X_145),X_143)
| join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) != meet(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))
| join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),meet(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))) ),[1,0],$fot(join(meet(X_144,X_145),X_143))]]) ).
cnf(refute_0_1206,plain,
( join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) != meet(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))
| join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),join(meet(X_144,X_145),X_143)) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),meet(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))) )],[refute_0_1196,refute_0_1206]) ).
cnf(refute_0_1208,plain,
meet(X_144,meet(X_145,join(meet(X_145,X_144),X_143))) = meet(X_144,X_145),
inference(subst,[],[refute_0_838:[bind(Y,$fot(X_143)),bind(X_80,$fot(X_145)),bind(X_81,$fot(X_144))]]) ).
cnf(refute_0_1209,plain,
meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) = meet(X_144,meet(X_145,join(meet(X_145,X_144),X_143))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_144)),bind(Y,$fot(X_145)),bind(Z,$fot(join(meet(X_145,X_144),X_143)))]]) ).
cnf(refute_0_1210,plain,
( meet(X_144,meet(X_145,join(meet(X_145,X_144),X_143))) != meet(X_144,X_145)
| meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) != meet(X_144,meet(X_145,join(meet(X_145,X_144),X_143)))
| meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) = meet(X_144,X_145) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)))),bind(Y0,$fot(meet(X_144,meet(X_145,join(meet(X_145,X_144),X_143))))),bind(Z0,$fot(meet(X_144,X_145)))]]) ).
cnf(refute_0_1211,plain,
( meet(X_144,meet(X_145,join(meet(X_145,X_144),X_143))) != meet(X_144,X_145)
| meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) = meet(X_144,X_145) ),
inference(resolve,[$cnf( $equal(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(X_144,meet(X_145,join(meet(X_145,X_144),X_143)))) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) = meet(X_144,X_145),
inference(resolve,[$cnf( $equal(meet(X_144,meet(X_145,join(meet(X_145,X_144),X_143))),meet(X_144,X_145)) )],[refute_0_1208,refute_0_1211]) ).
cnf(refute_0_1213,plain,
join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),
introduced(tautology,[refl,[$fot(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))))]]) ).
cnf(refute_0_1214,plain,
( join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) != join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))
| meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) != meet(X_144,X_145)
| join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))) ),[1,0],$fot(meet(X_144,X_145))]]) ).
cnf(refute_0_1215,plain,
( meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) != meet(X_144,X_145)
| join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))) )],[refute_0_1213,refute_0_1214]) ).
cnf(refute_0_1216,plain,
join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),
inference(resolve,[$cnf( $equal(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(X_144,X_145)) )],[refute_0_1212,refute_0_1215]) ).
cnf(refute_0_1217,plain,
join(Z,meet(Y,X)) = join(meet(X,Y),Z),
inference(subst,[],[refute_0_464:[bind(X_18,$fot(X)),bind(X_7,$fot(Y)),bind(X_74,$fot(Z))]]) ).
cnf(refute_0_1218,plain,
( join(Z,meet(Y,X)) != join(meet(X,Y),Z)
| join(meet(X,Y),Z) = join(Z,meet(Y,X)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(Z,meet(Y,X)))),bind(Y0,$fot(join(meet(X,Y),Z)))]]) ).
cnf(refute_0_1219,plain,
join(meet(X,Y),Z) = join(Z,meet(Y,X)),
inference(resolve,[$cnf( $equal(join(Z,meet(Y,X)),join(meet(X,Y),Z)) )],[refute_0_1217,refute_0_1218]) ).
cnf(refute_0_1220,plain,
( join(meet(X,Y),Z) != join(Z,meet(Y,X))
| join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) != meet(join(Z,X),join(Y,meet(join(X,Y),Z)))
| join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(Y,join(meet(X,Y),Z))),meet(join(Z,X),join(Y,meet(join(X,Y),Z)))) ),[0,1,1],$fot(join(Z,meet(Y,X)))]]) ).
cnf(refute_0_1221,plain,
( join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) != meet(join(Z,X),join(Y,meet(join(X,Y),Z)))
| join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))) ),
inference(resolve,[$cnf( $equal(join(meet(X,Y),Z),join(Z,meet(Y,X))) )],[refute_0_1219,refute_0_1220]) ).
cnf(refute_0_1222,plain,
join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))) = meet(join(Z,X),join(Y,meet(join(X,Y),Z))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Y,join(meet(X,Y),Z))),meet(join(Z,X),join(Y,meet(join(X,Y),Z)))) )],[refute_0_41,refute_0_1221]) ).
cnf(refute_0_1223,plain,
( join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))) != meet(join(Z,X),join(Y,meet(join(X,Y),Z)))
| meet(join(Z,X),join(Y,meet(join(X,Y),Z))) != join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))
| join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))),join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))) ),[0],$fot(meet(join(Z,X),join(Y,meet(join(X,Y),Z))))]]) ).
cnf(refute_0_1224,plain,
( join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))) != meet(join(Z,X),join(Y,meet(join(X,Y),Z)))
| join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) ),
inference(resolve,[$cnf( $equal(meet(join(Z,X),join(Y,meet(join(X,Y),Z))),join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))) )],[refute_0_264,refute_0_1223]) ).
cnf(refute_0_1225,plain,
join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))) = join(meet(Z,X),meet(Y,join(meet(X,Y),Z))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))),meet(join(Z,X),join(Y,meet(join(X,Y),Z)))) )],[refute_0_1222,refute_0_1224]) ).
cnf(refute_0_1226,plain,
( join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))) != join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))
| join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) = join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))))),bind(Y0,$fot(join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))))]]) ).
cnf(refute_0_1227,plain,
join(meet(Z,X),meet(Y,join(meet(X,Y),Z))) = join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Y,join(Z,meet(Y,X)))),join(meet(Z,X),meet(Y,join(meet(X,Y),Z)))) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),
inference(subst,[],[refute_0_1227:[bind(X,$fot(join(meet(X_145,X_144),X_143))),bind(Z,$fot(meet(X_144,X_145)))]]) ).
cnf(refute_0_1229,plain,
( join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) != join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))
| join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) != join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))
| join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))))),bind(Y0,$fot(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))))),bind(Z0,$fot(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))))]]) ).
cnf(refute_0_1230,plain,
( join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) != join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))
| join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))) )],[refute_0_1216,refute_0_1230]) ).
cnf(refute_0_1232,plain,
( join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) != join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))
| join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) != meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))) ),[0],$fot(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))))]]) ).
cnf(refute_0_1233,plain,
( join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) != meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))) )],[refute_0_1231,refute_0_1232]) ).
cnf(refute_0_1234,plain,
meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)) = meet(X_22,X_23),
inference(subst,[],[absorption1:[bind(X,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_1235,plain,
meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)) = meet(X_22,meet(X_23,join(meet(X_22,X_23),Y))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(join(meet(X_22,X_23),Y)))]]) ).
cnf(refute_0_1236,plain,
( meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)) != meet(X_22,X_23)
| meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)) != meet(X_22,meet(X_23,join(meet(X_22,X_23),Y)))
| meet(X_22,meet(X_23,join(meet(X_22,X_23),Y))) = meet(X_22,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)),meet(X_22,X_23)) ),[0],$fot(meet(X_22,meet(X_23,join(meet(X_22,X_23),Y))))]]) ).
cnf(refute_0_1237,plain,
( meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)) != meet(X_22,X_23)
| meet(X_22,meet(X_23,join(meet(X_22,X_23),Y))) = meet(X_22,X_23) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)),meet(X_22,meet(X_23,join(meet(X_22,X_23),Y)))) )],[refute_0_1235,refute_0_1236]) ).
cnf(refute_0_1238,plain,
meet(X_22,meet(X_23,join(meet(X_22,X_23),Y))) = meet(X_22,X_23),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)),meet(X_22,X_23)) )],[refute_0_1234,refute_0_1237]) ).
cnf(refute_0_1239,plain,
meet(X_145,meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))) = meet(X_145,X_144),
inference(subst,[],[refute_0_1238:[bind(Y,$fot(join(X_143,Y))),bind(X_22,$fot(X_145)),bind(X_23,$fot(X_144))]]) ).
cnf(refute_0_1240,plain,
join(join(meet(X_145,X_144),X_143),Y) = join(meet(X_145,X_144),join(X_143,Y)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_145,X_144))),bind(Y,$fot(X_143)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1241,plain,
meet(X_144,join(join(meet(X_145,X_144),X_143),Y)) = meet(X_144,join(join(meet(X_145,X_144),X_143),Y)),
introduced(tautology,[refl,[$fot(meet(X_144,join(join(meet(X_145,X_144),X_143),Y)))]]) ).
cnf(refute_0_1242,plain,
( join(join(meet(X_145,X_144),X_143),Y) != join(meet(X_145,X_144),join(X_143,Y))
| meet(X_144,join(join(meet(X_145,X_144),X_143),Y)) != meet(X_144,join(join(meet(X_145,X_144),X_143),Y))
| meet(X_144,join(join(meet(X_145,X_144),X_143),Y)) = meet(X_144,join(meet(X_145,X_144),join(X_143,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_144,join(join(meet(X_145,X_144),X_143),Y)),meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) ),[1,1],$fot(join(meet(X_145,X_144),join(X_143,Y)))]]) ).
cnf(refute_0_1243,plain,
( join(join(meet(X_145,X_144),X_143),Y) != join(meet(X_145,X_144),join(X_143,Y))
| meet(X_144,join(join(meet(X_145,X_144),X_143),Y)) = meet(X_144,join(meet(X_145,X_144),join(X_143,Y))) ),
inference(resolve,[$cnf( $equal(meet(X_144,join(join(meet(X_145,X_144),X_143),Y)),meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) )],[refute_0_1241,refute_0_1242]) ).
cnf(refute_0_1244,plain,
meet(X_144,join(join(meet(X_145,X_144),X_143),Y)) = meet(X_144,join(meet(X_145,X_144),join(X_143,Y))),
inference(resolve,[$cnf( $equal(join(join(meet(X_145,X_144),X_143),Y),join(meet(X_145,X_144),join(X_143,Y))) )],[refute_0_1240,refute_0_1243]) ).
cnf(refute_0_1245,plain,
meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) = meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))),
introduced(tautology,[refl,[$fot(meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))))]]) ).
cnf(refute_0_1246,plain,
( meet(X_144,join(join(meet(X_145,X_144),X_143),Y)) != meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))
| meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) != meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y)))
| meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) = meet(X_145,meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))),meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y)))) ),[1,1],$fot(meet(X_144,join(meet(X_145,X_144),join(X_143,Y))))]]) ).
cnf(refute_0_1247,plain,
( meet(X_144,join(join(meet(X_145,X_144),X_143),Y)) != meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))
| meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) = meet(X_145,meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))) ),
inference(resolve,[$cnf( $equal(meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))),meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y)))) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) = meet(X_145,meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))),
inference(resolve,[$cnf( $equal(meet(X_144,join(join(meet(X_145,X_144),X_143),Y)),meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))) )],[refute_0_1244,refute_0_1247]) ).
cnf(refute_0_1249,plain,
( meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) != meet(X_145,meet(X_144,join(meet(X_145,X_144),join(X_143,Y))))
| meet(X_145,meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))) != meet(X_145,X_144)
| meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) = meet(X_145,X_144) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))))),bind(Y0,$fot(meet(X_145,meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))))),bind(Z0,$fot(meet(X_145,X_144)))]]) ).
cnf(refute_0_1250,plain,
( meet(X_145,meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))) != meet(X_145,X_144)
| meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) = meet(X_145,X_144) ),
inference(resolve,[$cnf( $equal(meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))),meet(X_145,meet(X_144,join(meet(X_145,X_144),join(X_143,Y))))) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) = meet(X_145,X_144),
inference(resolve,[$cnf( $equal(meet(X_145,meet(X_144,join(meet(X_145,X_144),join(X_143,Y)))),meet(X_145,X_144)) )],[refute_0_1239,refute_0_1250]) ).
cnf(refute_0_1252,plain,
( meet(X_77,meet(Y,X_79)) != meet(X_77,meet(X_79,Y))
| meet(X_77,meet(X_79,Y)) = meet(X_77,meet(Y,X_79)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_77,meet(Y,X_79)))),bind(Y0,$fot(meet(X_77,meet(X_79,Y))))]]) ).
cnf(refute_0_1253,plain,
meet(X_77,meet(X_79,Y)) = meet(X_77,meet(Y,X_79)),
inference(resolve,[$cnf( $equal(meet(X_77,meet(Y,X_79)),meet(X_77,meet(X_79,Y))) )],[refute_0_700,refute_0_1252]) ).
cnf(refute_0_1254,plain,
meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)) = meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))),
inference(subst,[],[refute_0_1253:[bind(Y,$fot(X_144)),bind(X_77,$fot(X_145)),bind(X_79,$fot(join(join(meet(X_145,X_144),X_143),Y)))]]) ).
cnf(refute_0_1255,plain,
( meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) != meet(X_145,X_144)
| meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)) != meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y)))
| meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)) = meet(X_145,X_144) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)))),bind(Y0,$fot(meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))))),bind(Z0,$fot(meet(X_145,X_144)))]]) ).
cnf(refute_0_1256,plain,
( meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))) != meet(X_145,X_144)
| meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)) = meet(X_145,X_144) ),
inference(resolve,[$cnf( $equal(meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)),meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y)))) )],[refute_0_1254,refute_0_1255]) ).
cnf(refute_0_1257,plain,
meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)) = meet(X_145,X_144),
inference(resolve,[$cnf( $equal(meet(X_145,meet(X_144,join(join(meet(X_145,X_144),X_143),Y))),meet(X_145,X_144)) )],[refute_0_1251,refute_0_1256]) ).
cnf(refute_0_1258,plain,
join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))) = join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))),
introduced(tautology,[refl,[$fot(join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))))]]) ).
cnf(refute_0_1259,plain,
( join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))) != join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)))
| meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)) != meet(X_145,X_144)
| join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))) = join(Y,meet(X_145,X_144)) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))),join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)))) ),[1,1],$fot(meet(X_145,X_144))]]) ).
cnf(refute_0_1260,plain,
( meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)) != meet(X_145,X_144)
| join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))) = join(Y,meet(X_145,X_144)) ),
inference(resolve,[$cnf( $equal(join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))),join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)))) )],[refute_0_1258,refute_0_1259]) ).
cnf(refute_0_1261,plain,
join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))) = join(Y,meet(X_145,X_144)),
inference(resolve,[$cnf( $equal(meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)),meet(X_145,X_144)) )],[refute_0_1257,refute_0_1260]) ).
cnf(refute_0_1262,plain,
meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,join(meet(X_7,X_129),X_27)))) = join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),
inference(subst,[],[refute_0_986:[bind(X,$fot(X_128)),bind(Y,$fot(X_129)),bind(X_29,$fot(join(meet(X_7,X_129),X_27)))]]) ).
cnf(refute_0_1263,plain,
join(X_129,X_27) = join(X_129,join(meet(X_7,X_129),X_27)),
inference(subst,[],[refute_0_475:[bind(X_25,$fot(X_129))]]) ).
cnf(refute_0_1264,plain,
( join(X_129,X_27) != join(X_129,join(meet(X_7,X_129),X_27))
| join(X_129,join(meet(X_7,X_129),X_27)) = join(X_129,X_27) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_129,X_27))),bind(Y0,$fot(join(X_129,join(meet(X_7,X_129),X_27))))]]) ).
cnf(refute_0_1265,plain,
join(X_129,join(meet(X_7,X_129),X_27)) = join(X_129,X_27),
inference(resolve,[$cnf( $equal(join(X_129,X_27),join(X_129,join(meet(X_7,X_129),X_27))) )],[refute_0_1263,refute_0_1264]) ).
cnf(refute_0_1266,plain,
( join(X_129,join(meet(X_7,X_129),X_27)) != join(X_129,X_27)
| meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,join(meet(X_7,X_129),X_27)))) != join(join(meet(X_7,X_129),X_27),join(X_128,X_129))
| meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) = join(join(meet(X_7,X_129),X_27),join(X_128,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,join(meet(X_7,X_129),X_27)))),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))) ),[0,1,1],$fot(join(X_129,X_27))]]) ).
cnf(refute_0_1267,plain,
( meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,join(meet(X_7,X_129),X_27)))) != join(join(meet(X_7,X_129),X_27),join(X_128,X_129))
| meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) = join(join(meet(X_7,X_129),X_27),join(X_128,X_129)) ),
inference(resolve,[$cnf( $equal(join(X_129,join(meet(X_7,X_129),X_27)),join(X_129,X_27)) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) = join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,join(meet(X_7,X_129),X_27)))),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))) )],[refute_0_1262,refute_0_1267]) ).
cnf(refute_0_1269,plain,
meet(join(X_27,join(X_128,X_129)),join(X_129,join(X_27,X_128))) = join(X_27,join(X_128,X_129)),
inference(subst,[],[refute_0_362:[bind(X,$fot(X_27)),bind(Y,$fot(X_128)),bind(X_28,$fot(X_129))]]) ).
cnf(refute_0_1270,plain,
join(X_129,join(meet(X_7,X_129),join(X_27,X_128))) = join(X_129,join(X_27,X_128)),
inference(subst,[],[refute_0_477:[bind(X_25,$fot(X_129)),bind(X_27,$fot(join(X_27,X_128)))]]) ).
cnf(refute_0_1271,plain,
join(join(meet(X_7,X_129),X_27),X_128) = join(meet(X_7,X_129),join(X_27,X_128)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_7,X_129))),bind(Y,$fot(X_27)),bind(Z,$fot(X_128))]]) ).
cnf(refute_0_1272,plain,
join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) = join(X_129,join(join(meet(X_7,X_129),X_27),X_128)),
introduced(tautology,[refl,[$fot(join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))]]) ).
cnf(refute_0_1273,plain,
( join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) != join(X_129,join(join(meet(X_7,X_129),X_27),X_128))
| join(join(meet(X_7,X_129),X_27),X_128) != join(meet(X_7,X_129),join(X_27,X_128))
| join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) = join(X_129,join(meet(X_7,X_129),join(X_27,X_128))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,join(join(meet(X_7,X_129),X_27),X_128)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) ),[1,1],$fot(join(meet(X_7,X_129),join(X_27,X_128)))]]) ).
cnf(refute_0_1274,plain,
( join(join(meet(X_7,X_129),X_27),X_128) != join(meet(X_7,X_129),join(X_27,X_128))
| join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) = join(X_129,join(meet(X_7,X_129),join(X_27,X_128))) ),
inference(resolve,[$cnf( $equal(join(X_129,join(join(meet(X_7,X_129),X_27),X_128)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) )],[refute_0_1272,refute_0_1273]) ).
cnf(refute_0_1275,plain,
join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) = join(X_129,join(meet(X_7,X_129),join(X_27,X_128))),
inference(resolve,[$cnf( $equal(join(join(meet(X_7,X_129),X_27),X_128),join(meet(X_7,X_129),join(X_27,X_128))) )],[refute_0_1271,refute_0_1274]) ).
cnf(refute_0_1276,plain,
( join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) != join(X_129,join(meet(X_7,X_129),join(X_27,X_128)))
| join(X_129,join(meet(X_7,X_129),join(X_27,X_128))) != join(X_129,join(X_27,X_128))
| join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) = join(X_129,join(X_27,X_128)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))),bind(Y0,$fot(join(X_129,join(meet(X_7,X_129),join(X_27,X_128))))),bind(Z0,$fot(join(X_129,join(X_27,X_128))))]]) ).
cnf(refute_0_1277,plain,
( join(X_129,join(meet(X_7,X_129),join(X_27,X_128))) != join(X_129,join(X_27,X_128))
| join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) = join(X_129,join(X_27,X_128)) ),
inference(resolve,[$cnf( $equal(join(X_129,join(join(meet(X_7,X_129),X_27),X_128)),join(X_129,join(meet(X_7,X_129),join(X_27,X_128)))) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) = join(X_129,join(X_27,X_128)),
inference(resolve,[$cnf( $equal(join(X_129,join(meet(X_7,X_129),join(X_27,X_128))),join(X_129,join(X_27,X_128))) )],[refute_0_1270,refute_0_1277]) ).
cnf(refute_0_1279,plain,
meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) = meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))),
introduced(tautology,[refl,[$fot(meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))))]]) ).
cnf(refute_0_1280,plain,
( join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) != join(X_129,join(X_27,X_128))
| meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) != meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))
| meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) = meet(join(X_27,join(X_128,X_129)),join(X_129,join(X_27,X_128))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))),meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))) ),[1,1],$fot(join(X_129,join(X_27,X_128)))]]) ).
cnf(refute_0_1281,plain,
( join(X_129,join(join(meet(X_7,X_129),X_27),X_128)) != join(X_129,join(X_27,X_128))
| meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) = meet(join(X_27,join(X_128,X_129)),join(X_129,join(X_27,X_128))) ),
inference(resolve,[$cnf( $equal(meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))),meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))) )],[refute_0_1279,refute_0_1280]) ).
cnf(refute_0_1282,plain,
meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) = meet(join(X_27,join(X_128,X_129)),join(X_129,join(X_27,X_128))),
inference(resolve,[$cnf( $equal(join(X_129,join(join(meet(X_7,X_129),X_27),X_128)),join(X_129,join(X_27,X_128))) )],[refute_0_1278,refute_0_1281]) ).
cnf(refute_0_1283,plain,
( meet(join(X_27,join(X_128,X_129)),join(X_129,join(X_27,X_128))) != join(X_27,join(X_128,X_129))
| meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) != meet(join(X_27,join(X_128,X_129)),join(X_129,join(X_27,X_128)))
| meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) = join(X_27,join(X_128,X_129)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))))),bind(Y0,$fot(meet(join(X_27,join(X_128,X_129)),join(X_129,join(X_27,X_128))))),bind(Z0,$fot(join(X_27,join(X_128,X_129))))]]) ).
cnf(refute_0_1284,plain,
( meet(join(X_27,join(X_128,X_129)),join(X_129,join(X_27,X_128))) != join(X_27,join(X_128,X_129))
| meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) = join(X_27,join(X_128,X_129)) ),
inference(resolve,[$cnf( $equal(meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))),meet(join(X_27,join(X_128,X_129)),join(X_129,join(X_27,X_128)))) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) = join(X_27,join(X_128,X_129)),
inference(resolve,[$cnf( $equal(meet(join(X_27,join(X_128,X_129)),join(X_129,join(X_27,X_128))),join(X_27,join(X_128,X_129))) )],[refute_0_1269,refute_0_1284]) ).
cnf(refute_0_1286,plain,
meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)) = meet(X_7,meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130)))),
inference(subst,[],[refute_0_867:[bind(X_101,$fot(join(X_130,join(X_128,X_129)))),bind(X_103,$fot(join(X_128,join(X_129,X_130))))]]) ).
cnf(refute_0_1287,plain,
meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130))) = join(X_130,join(X_128,X_129)),
inference(subst,[],[refute_0_986:[bind(X,$fot(X_128)),bind(Y,$fot(X_129)),bind(X_29,$fot(X_130))]]) ).
cnf(refute_0_1288,plain,
( meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)) != meet(X_7,meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130))))
| meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130))) != join(X_130,join(X_128,X_129))
| meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)) = meet(X_7,join(X_130,join(X_128,X_129))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)),meet(X_7,meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130))))) ),[1,1],$fot(join(X_130,join(X_128,X_129)))]]) ).
cnf(refute_0_1289,plain,
( meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)) != meet(X_7,meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130))))
| meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)) = meet(X_7,join(X_130,join(X_128,X_129))) ),
inference(resolve,[$cnf( $equal(meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130))),join(X_130,join(X_128,X_129))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)) = meet(X_7,join(X_130,join(X_128,X_129))),
inference(resolve,[$cnf( $equal(meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)),meet(X_7,meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130))))) )],[refute_0_1286,refute_0_1289]) ).
cnf(refute_0_1291,plain,
meet(X,meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66)))) = meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X)),
inference(subst,[],[refute_0_199:[bind(X_22,$fot(join(X_65,join(X_66,X_67)))),bind(X_23,$fot(join(X_67,join(X_65,X_66))))]]) ).
cnf(refute_0_1292,plain,
meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66))) = join(X_65,join(X_66,X_67)),
inference(subst,[],[refute_0_362:[bind(X,$fot(X_65)),bind(Y,$fot(X_66)),bind(X_28,$fot(X_67))]]) ).
cnf(refute_0_1293,plain,
( meet(X,meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66)))) != meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X))
| meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66))) != join(X_65,join(X_66,X_67))
| meet(X,join(X_65,join(X_66,X_67))) = meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66)))),meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X))) ),[0,1],$fot(join(X_65,join(X_66,X_67)))]]) ).
cnf(refute_0_1294,plain,
( meet(X,meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66)))) != meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X))
| meet(X,join(X_65,join(X_66,X_67))) = meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X)) ),
inference(resolve,[$cnf( $equal(meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66))),join(X_65,join(X_66,X_67))) )],[refute_0_1292,refute_0_1293]) ).
cnf(refute_0_1295,plain,
meet(X,join(X_65,join(X_66,X_67))) = meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X)),
inference(resolve,[$cnf( $equal(meet(X,meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66)))),meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X))) )],[refute_0_1291,refute_0_1294]) ).
cnf(refute_0_1296,plain,
( meet(X,join(X_65,join(X_66,X_67))) != meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X))
| meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X)) = meet(X,join(X_65,join(X_66,X_67))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X,join(X_65,join(X_66,X_67))))),bind(Y0,$fot(meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X))))]]) ).
cnf(refute_0_1297,plain,
meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X)) = meet(X,join(X_65,join(X_66,X_67))),
inference(resolve,[$cnf( $equal(meet(X,join(X_65,join(X_66,X_67))),meet(join(X_65,join(X_66,X_67)),meet(join(X_67,join(X_65,X_66)),X))) )],[refute_0_1295,refute_0_1296]) ).
cnf(refute_0_1298,plain,
meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)) = meet(X_7,join(X_128,join(X_129,X_130))),
inference(subst,[],[refute_0_1297:[bind(X,$fot(X_7)),bind(X_65,$fot(X_128)),bind(X_66,$fot(X_129)),bind(X_67,$fot(X_130))]]) ).
cnf(refute_0_1299,plain,
( meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)) != meet(X_7,join(X_128,join(X_129,X_130)))
| meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)) != meet(X_7,join(X_130,join(X_128,X_129)))
| meet(X_7,join(X_128,join(X_129,X_130))) = meet(X_7,join(X_130,join(X_128,X_129))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)),meet(X_7,join(X_130,join(X_128,X_129)))) ),[0],$fot(meet(X_7,join(X_128,join(X_129,X_130))))]]) ).
cnf(refute_0_1300,plain,
( meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)) != meet(X_7,join(X_130,join(X_128,X_129)))
| meet(X_7,join(X_128,join(X_129,X_130))) = meet(X_7,join(X_130,join(X_128,X_129))) ),
inference(resolve,[$cnf( $equal(meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)),meet(X_7,join(X_128,join(X_129,X_130)))) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
meet(X_7,join(X_128,join(X_129,X_130))) = meet(X_7,join(X_130,join(X_128,X_129))),
inference(resolve,[$cnf( $equal(meet(join(X_128,join(X_129,X_130)),meet(join(X_130,join(X_128,X_129)),X_7)),meet(X_7,join(X_130,join(X_128,X_129)))) )],[refute_0_1290,refute_0_1300]) ).
cnf(refute_0_1302,plain,
meet(join(X_27,join(X_128,X_129)),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))) = meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))),
inference(subst,[],[refute_0_1301:[bind(X_128,$fot(join(meet(X_7,X_129),X_27))),bind(X_129,$fot(X_128)),bind(X_130,$fot(X_129)),bind(X_7,$fot(join(X_27,join(X_128,X_129))))]]) ).
cnf(refute_0_1303,plain,
meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) = meet(join(X_130,join(X_128,X_129)),meet(Y,meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130))))),
inference(subst,[],[refute_0_595:[bind(X_22,$fot(join(X_130,join(X_128,X_129)))),bind(X_24,$fot(join(X_128,join(X_129,X_130))))]]) ).
cnf(refute_0_1304,plain,
( meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130))) != join(X_130,join(X_128,X_129))
| meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) != meet(join(X_130,join(X_128,X_129)),meet(Y,meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130)))))
| meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) = meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))),meet(join(X_130,join(X_128,X_129)),meet(Y,meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130)))))) ),[1,1,1],$fot(join(X_130,join(X_128,X_129)))]]) ).
cnf(refute_0_1305,plain,
( meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) != meet(join(X_130,join(X_128,X_129)),meet(Y,meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130)))))
| meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) = meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130))),join(X_130,join(X_128,X_129))) )],[refute_0_1287,refute_0_1304]) ).
cnf(refute_0_1306,plain,
meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) = meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129)))),
inference(resolve,[$cnf( $equal(meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))),meet(join(X_130,join(X_128,X_129)),meet(Y,meet(join(X_130,join(X_128,X_129)),join(X_128,join(X_129,X_130)))))) )],[refute_0_1303,refute_0_1305]) ).
cnf(refute_0_1307,plain,
meet(join(X_67,join(X_65,X_66)),meet(X_22,join(X_65,join(X_66,X_67)))) = meet(X_22,meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66)))),
inference(subst,[],[refute_0_199:[bind(X,$fot(join(X_67,join(X_65,X_66)))),bind(X_23,$fot(join(X_65,join(X_66,X_67))))]]) ).
cnf(refute_0_1308,plain,
( meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66))) != join(X_65,join(X_66,X_67))
| meet(join(X_67,join(X_65,X_66)),meet(X_22,join(X_65,join(X_66,X_67)))) != meet(X_22,meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66))))
| meet(join(X_67,join(X_65,X_66)),meet(X_22,join(X_65,join(X_66,X_67)))) = meet(X_22,join(X_65,join(X_66,X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_67,join(X_65,X_66)),meet(X_22,join(X_65,join(X_66,X_67)))),meet(X_22,meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66))))) ),[1,1],$fot(join(X_65,join(X_66,X_67)))]]) ).
cnf(refute_0_1309,plain,
( meet(join(X_67,join(X_65,X_66)),meet(X_22,join(X_65,join(X_66,X_67)))) != meet(X_22,meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66))))
| meet(join(X_67,join(X_65,X_66)),meet(X_22,join(X_65,join(X_66,X_67)))) = meet(X_22,join(X_65,join(X_66,X_67))) ),
inference(resolve,[$cnf( $equal(meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66))),join(X_65,join(X_66,X_67))) )],[refute_0_1292,refute_0_1308]) ).
cnf(refute_0_1310,plain,
meet(join(X_67,join(X_65,X_66)),meet(X_22,join(X_65,join(X_66,X_67)))) = meet(X_22,join(X_65,join(X_66,X_67))),
inference(resolve,[$cnf( $equal(meet(join(X_67,join(X_65,X_66)),meet(X_22,join(X_65,join(X_66,X_67)))),meet(X_22,meet(join(X_65,join(X_66,X_67)),join(X_67,join(X_65,X_66))))) )],[refute_0_1307,refute_0_1309]) ).
cnf(refute_0_1311,plain,
meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) = meet(Y,join(X_128,join(X_129,X_130))),
inference(subst,[],[refute_0_1310:[bind(X_22,$fot(Y)),bind(X_65,$fot(X_128)),bind(X_66,$fot(X_129)),bind(X_67,$fot(X_130))]]) ).
cnf(refute_0_1312,plain,
( meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) != meet(Y,join(X_128,join(X_129,X_130)))
| meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) != meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129))))
| meet(Y,join(X_128,join(X_129,X_130))) = meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))),meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129))))) ),[0],$fot(meet(Y,join(X_128,join(X_129,X_130))))]]) ).
cnf(refute_0_1313,plain,
( meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) != meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129))))
| meet(Y,join(X_128,join(X_129,X_130))) = meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))),meet(Y,join(X_128,join(X_129,X_130)))) )],[refute_0_1311,refute_0_1312]) ).
cnf(refute_0_1314,plain,
meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129)))) = meet(join(X_130,join(X_128,X_129)),Y),
inference(subst,[],[refute_0_115:[bind(X_13,$fot(join(X_130,join(X_128,X_129))))]]) ).
cnf(refute_0_1315,plain,
( meet(Y,join(X_128,join(X_129,X_130))) != meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129))))
| meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129)))) != meet(join(X_130,join(X_128,X_129)),Y)
| meet(Y,join(X_128,join(X_129,X_130))) = meet(join(X_130,join(X_128,X_129)),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(Y,join(X_128,join(X_129,X_130))),meet(join(X_130,join(X_128,X_129)),Y)) ),[0],$fot(meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129)))))]]) ).
cnf(refute_0_1316,plain,
( meet(Y,join(X_128,join(X_129,X_130))) != meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129))))
| meet(Y,join(X_128,join(X_129,X_130))) = meet(join(X_130,join(X_128,X_129)),Y) ),
inference(resolve,[$cnf( $equal(meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129)))),meet(join(X_130,join(X_128,X_129)),Y)) )],[refute_0_1314,refute_0_1315]) ).
cnf(refute_0_1317,plain,
( meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))) != meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129))))
| meet(Y,join(X_128,join(X_129,X_130))) = meet(join(X_130,join(X_128,X_129)),Y) ),
inference(resolve,[$cnf( $equal(meet(Y,join(X_128,join(X_129,X_130))),meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129))))) )],[refute_0_1313,refute_0_1316]) ).
cnf(refute_0_1318,plain,
meet(Y,join(X_128,join(X_129,X_130))) = meet(join(X_130,join(X_128,X_129)),Y),
inference(resolve,[$cnf( $equal(meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_128,join(X_129,X_130)))),meet(join(X_130,join(X_128,X_129)),meet(Y,join(X_130,join(X_128,X_129))))) )],[refute_0_1306,refute_0_1317]) ).
cnf(refute_0_1319,plain,
meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) = meet(join(X_27,join(X_128,X_129)),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))),
inference(subst,[],[refute_0_1318:[bind(Y,$fot(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)))),bind(X_130,$fot(X_27))]]) ).
cnf(refute_0_1320,plain,
( meet(join(X_27,join(X_128,X_129)),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))) != meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))
| meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) != meet(join(X_27,join(X_128,X_129)),join(join(meet(X_7,X_129),X_27),join(X_128,X_129)))
| meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) = meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))))),bind(Y0,$fot(meet(join(X_27,join(X_128,X_129)),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))))),bind(Z0,$fot(meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))))]]) ).
cnf(refute_0_1321,plain,
( meet(join(X_27,join(X_128,X_129)),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))) != meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))
| meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) = meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))),meet(join(X_27,join(X_128,X_129)),join(join(meet(X_7,X_129),X_27),join(X_128,X_129)))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) = meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))),
inference(resolve,[$cnf( $equal(meet(join(X_27,join(X_128,X_129)),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))),meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))) )],[refute_0_1302,refute_0_1321]) ).
cnf(refute_0_1323,plain,
( meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) != join(X_27,join(X_128,X_129))
| meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) != meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))
| meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) = join(X_27,join(X_128,X_129)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))))),bind(Y0,$fot(meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))))),bind(Z0,$fot(join(X_27,join(X_128,X_129))))]]) ).
cnf(refute_0_1324,plain,
( meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))) != join(X_27,join(X_128,X_129))
| meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) = join(X_27,join(X_128,X_129)) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))),meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128)))) )],[refute_0_1322,refute_0_1323]) ).
cnf(refute_0_1325,plain,
meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) = join(X_27,join(X_128,X_129)),
inference(resolve,[$cnf( $equal(meet(join(X_27,join(X_128,X_129)),join(X_129,join(join(meet(X_7,X_129),X_27),X_128))),join(X_27,join(X_128,X_129))) )],[refute_0_1285,refute_0_1324]) ).
cnf(refute_0_1326,plain,
( meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) != join(X_27,join(X_128,X_129))
| meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) != join(join(meet(X_7,X_129),X_27),join(X_128,X_129))
| join(X_27,join(X_128,X_129)) = join(join(meet(X_7,X_129),X_27),join(X_128,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))) ),[0],$fot(join(X_27,join(X_128,X_129)))]]) ).
cnf(refute_0_1327,plain,
( meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) != join(join(meet(X_7,X_129),X_27),join(X_128,X_129))
| join(X_27,join(X_128,X_129)) = join(join(meet(X_7,X_129),X_27),join(X_128,X_129)) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))),join(X_27,join(X_128,X_129))) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
join(X_25,join(Y,join(meet(X_94,X_25),X_93))) = join(X_25,join(Y,join(X_25,join(meet(X_94,X_25),X_93)))),
inference(subst,[],[refute_0_443:[bind(X_27,$fot(join(meet(X_94,X_25),X_93)))]]) ).
cnf(refute_0_1329,plain,
join(X_25,X_93) = join(X_25,join(meet(X_94,X_25),X_93)),
inference(subst,[],[refute_0_475:[bind(X_27,$fot(X_93)),bind(X_7,$fot(X_94))]]) ).
cnf(refute_0_1330,plain,
( join(X_25,X_93) != join(X_25,join(meet(X_94,X_25),X_93))
| join(X_25,join(meet(X_94,X_25),X_93)) = join(X_25,X_93) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_25,X_93))),bind(Y0,$fot(join(X_25,join(meet(X_94,X_25),X_93))))]]) ).
cnf(refute_0_1331,plain,
join(X_25,join(meet(X_94,X_25),X_93)) = join(X_25,X_93),
inference(resolve,[$cnf( $equal(join(X_25,X_93),join(X_25,join(meet(X_94,X_25),X_93))) )],[refute_0_1329,refute_0_1330]) ).
cnf(refute_0_1332,plain,
( join(X_25,join(Y,join(meet(X_94,X_25),X_93))) != join(X_25,join(Y,join(X_25,join(meet(X_94,X_25),X_93))))
| join(X_25,join(meet(X_94,X_25),X_93)) != join(X_25,X_93)
| join(X_25,join(Y,join(meet(X_94,X_25),X_93))) = join(X_25,join(Y,join(X_25,X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(Y,join(meet(X_94,X_25),X_93))),join(X_25,join(Y,join(X_25,join(meet(X_94,X_25),X_93))))) ),[1,1,1],$fot(join(X_25,X_93))]]) ).
cnf(refute_0_1333,plain,
( join(X_25,join(Y,join(meet(X_94,X_25),X_93))) != join(X_25,join(Y,join(X_25,join(meet(X_94,X_25),X_93))))
| join(X_25,join(Y,join(meet(X_94,X_25),X_93))) = join(X_25,join(Y,join(X_25,X_93))) ),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_94,X_25),X_93)),join(X_25,X_93)) )],[refute_0_1331,refute_0_1332]) ).
cnf(refute_0_1334,plain,
join(X_25,join(Y,join(meet(X_94,X_25),X_93))) = join(X_25,join(Y,join(X_25,X_93))),
inference(resolve,[$cnf( $equal(join(X_25,join(Y,join(meet(X_94,X_25),X_93))),join(X_25,join(Y,join(X_25,join(meet(X_94,X_25),X_93))))) )],[refute_0_1328,refute_0_1333]) ).
cnf(refute_0_1335,plain,
( join(X_25,join(Y,X_27)) != join(X_25,join(Y,join(X_25,X_27)))
| join(X_25,join(Y,join(X_25,X_27))) = join(X_25,join(Y,X_27)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_25,join(Y,X_27)))),bind(Y0,$fot(join(X_25,join(Y,join(X_25,X_27)))))]]) ).
cnf(refute_0_1336,plain,
join(X_25,join(Y,join(X_25,X_27))) = join(X_25,join(Y,X_27)),
inference(resolve,[$cnf( $equal(join(X_25,join(Y,X_27)),join(X_25,join(Y,join(X_25,X_27)))) )],[refute_0_443,refute_0_1335]) ).
cnf(refute_0_1337,plain,
join(X_25,join(Y,join(X_25,X_93))) = join(X_25,join(Y,X_93)),
inference(subst,[],[refute_0_1336:[bind(X_27,$fot(X_93))]]) ).
cnf(refute_0_1338,plain,
( join(X_25,join(Y,join(X_25,X_93))) != join(X_25,join(Y,X_93))
| join(X_25,join(Y,join(meet(X_94,X_25),X_93))) != join(X_25,join(Y,join(X_25,X_93)))
| join(X_25,join(Y,join(meet(X_94,X_25),X_93))) = join(X_25,join(Y,X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(Y,join(meet(X_94,X_25),X_93))),join(X_25,join(Y,join(X_25,X_93)))) ),[1],$fot(join(X_25,join(Y,X_93)))]]) ).
cnf(refute_0_1339,plain,
( join(X_25,join(Y,join(meet(X_94,X_25),X_93))) != join(X_25,join(Y,join(X_25,X_93)))
| join(X_25,join(Y,join(meet(X_94,X_25),X_93))) = join(X_25,join(Y,X_93)) ),
inference(resolve,[$cnf( $equal(join(X_25,join(Y,join(X_25,X_93))),join(X_25,join(Y,X_93))) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
join(X_25,join(Y,join(meet(X_94,X_25),X_93))) = join(X_25,join(Y,X_93)),
inference(resolve,[$cnf( $equal(join(X_25,join(Y,join(meet(X_94,X_25),X_93))),join(X_25,join(Y,join(X_25,X_93)))) )],[refute_0_1334,refute_0_1339]) ).
cnf(refute_0_1341,plain,
join(X_129,join(X_128,join(meet(X_7,X_129),X_27))) = join(X_129,join(X_128,X_27)),
inference(subst,[],[refute_0_1340:[bind(Y,$fot(X_128)),bind(X_25,$fot(X_129)),bind(X_93,$fot(X_27)),bind(X_94,$fot(X_7))]]) ).
cnf(refute_0_1342,plain,
join(join(X_96,X_97),Y) = join(Y,join(X_96,X_97)),
inference(subst,[],[commutativity_of_join:[bind(X,$fot(join(X_96,X_97)))]]) ).
cnf(refute_0_1343,plain,
join(Y,join(X_96,X_97)) = join(Y,join(X_97,X_96)),
inference(subst,[],[refute_0_621:[bind(X_25,$fot(Y)),bind(X_26,$fot(X_96)),bind(X_27,$fot(X_97))]]) ).
cnf(refute_0_1344,plain,
( join(Y,join(X_96,X_97)) != join(Y,join(X_97,X_96))
| join(join(X_96,X_97),Y) != join(Y,join(X_96,X_97))
| join(join(X_96,X_97),Y) = join(Y,join(X_97,X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_96,X_97),Y),join(Y,join(X_96,X_97))) ),[1],$fot(join(Y,join(X_97,X_96)))]]) ).
cnf(refute_0_1345,plain,
( join(join(X_96,X_97),Y) != join(Y,join(X_96,X_97))
| join(join(X_96,X_97),Y) = join(Y,join(X_97,X_96)) ),
inference(resolve,[$cnf( $equal(join(Y,join(X_96,X_97)),join(Y,join(X_97,X_96))) )],[refute_0_1343,refute_0_1344]) ).
cnf(refute_0_1346,plain,
join(join(X_96,X_97),Y) = join(Y,join(X_97,X_96)),
inference(resolve,[$cnf( $equal(join(join(X_96,X_97),Y),join(Y,join(X_96,X_97))) )],[refute_0_1342,refute_0_1345]) ).
cnf(refute_0_1347,plain,
join(join(X_96,X_97),Y) = join(X_96,join(X_97,Y)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_96)),bind(Y,$fot(X_97)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1348,plain,
( join(join(X_96,X_97),Y) != join(Y,join(X_97,X_96))
| join(join(X_96,X_97),Y) != join(X_96,join(X_97,Y))
| join(X_96,join(X_97,Y)) = join(Y,join(X_97,X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_96,X_97),Y),join(Y,join(X_97,X_96))) ),[0],$fot(join(X_96,join(X_97,Y)))]]) ).
cnf(refute_0_1349,plain,
( join(join(X_96,X_97),Y) != join(Y,join(X_97,X_96))
| join(X_96,join(X_97,Y)) = join(Y,join(X_97,X_96)) ),
inference(resolve,[$cnf( $equal(join(join(X_96,X_97),Y),join(X_96,join(X_97,Y))) )],[refute_0_1347,refute_0_1348]) ).
cnf(refute_0_1350,plain,
join(X_96,join(X_97,Y)) = join(Y,join(X_97,X_96)),
inference(resolve,[$cnf( $equal(join(join(X_96,X_97),Y),join(Y,join(X_97,X_96))) )],[refute_0_1346,refute_0_1349]) ).
cnf(refute_0_1351,plain,
( join(X_96,join(X_97,Y)) != join(Y,join(X_97,X_96))
| join(Y,join(X_97,X_96)) = join(X_96,join(X_97,Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_96,join(X_97,Y)))),bind(Y0,$fot(join(Y,join(X_97,X_96))))]]) ).
cnf(refute_0_1352,plain,
join(Y,join(X_97,X_96)) = join(X_96,join(X_97,Y)),
inference(resolve,[$cnf( $equal(join(X_96,join(X_97,Y)),join(Y,join(X_97,X_96))) )],[refute_0_1350,refute_0_1351]) ).
cnf(refute_0_1353,plain,
join(join(meet(X_7,X_129),X_27),join(X_128,X_129)) = join(X_129,join(X_128,join(meet(X_7,X_129),X_27))),
inference(subst,[],[refute_0_1352:[bind(Y,$fot(join(meet(X_7,X_129),X_27))),bind(X_96,$fot(X_129)),bind(X_97,$fot(X_128))]]) ).
cnf(refute_0_1354,plain,
( join(X_129,join(X_128,join(meet(X_7,X_129),X_27))) != join(X_129,join(X_128,X_27))
| join(join(meet(X_7,X_129),X_27),join(X_128,X_129)) != join(X_129,join(X_128,join(meet(X_7,X_129),X_27)))
| join(join(meet(X_7,X_129),X_27),join(X_128,X_129)) = join(X_129,join(X_128,X_27)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)))),bind(Y0,$fot(join(X_129,join(X_128,join(meet(X_7,X_129),X_27))))),bind(Z0,$fot(join(X_129,join(X_128,X_27))))]]) ).
cnf(refute_0_1355,plain,
( join(X_129,join(X_128,join(meet(X_7,X_129),X_27))) != join(X_129,join(X_128,X_27))
| join(join(meet(X_7,X_129),X_27),join(X_128,X_129)) = join(X_129,join(X_128,X_27)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_129,join(X_128,join(meet(X_7,X_129),X_27)))) )],[refute_0_1353,refute_0_1354]) ).
cnf(refute_0_1356,plain,
join(join(meet(X_7,X_129),X_27),join(X_128,X_129)) = join(X_129,join(X_128,X_27)),
inference(resolve,[$cnf( $equal(join(X_129,join(X_128,join(meet(X_7,X_129),X_27))),join(X_129,join(X_128,X_27))) )],[refute_0_1341,refute_0_1355]) ).
cnf(refute_0_1357,plain,
( join(X_27,join(X_128,X_129)) != join(join(meet(X_7,X_129),X_27),join(X_128,X_129))
| join(join(meet(X_7,X_129),X_27),join(X_128,X_129)) != join(X_129,join(X_128,X_27))
| join(X_27,join(X_128,X_129)) = join(X_129,join(X_128,X_27)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_27,join(X_128,X_129)),join(X_129,join(X_128,X_27))) ),[0],$fot(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)))]]) ).
cnf(refute_0_1358,plain,
( join(X_27,join(X_128,X_129)) != join(join(meet(X_7,X_129),X_27),join(X_128,X_129))
| join(X_27,join(X_128,X_129)) = join(X_129,join(X_128,X_27)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_129,join(X_128,X_27))) )],[refute_0_1356,refute_0_1357]) ).
cnf(refute_0_1359,plain,
( meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))) != join(join(meet(X_7,X_129),X_27),join(X_128,X_129))
| join(X_27,join(X_128,X_129)) = join(X_129,join(X_128,X_27)) ),
inference(resolve,[$cnf( $equal(join(X_27,join(X_128,X_129)),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))) )],[refute_0_1327,refute_0_1358]) ).
cnf(refute_0_1360,plain,
join(X_27,join(X_128,X_129)) = join(X_129,join(X_128,X_27)),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_7,X_129),X_27),join(X_128,X_129)),join(X_128,join(X_129,X_27))),join(join(meet(X_7,X_129),X_27),join(X_128,X_129))) )],[refute_0_1268,refute_0_1359]) ).
cnf(refute_0_1361,plain,
join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)) = join(X_129,join(meet(X_137,meet(X_138,X_139)),meet(X_139,meet(X_137,X_138)))),
inference(subst,[],[refute_0_1360:[bind(X_128,$fot(meet(X_137,meet(X_138,X_139)))),bind(X_27,$fot(meet(X_139,meet(X_137,X_138))))]]) ).
cnf(refute_0_1362,plain,
join(meet(meet(X,Y),X_31),meet(X_31,meet(X,Y))) = meet(meet(X,Y),X_31),
inference(subst,[],[refute_0_449:[bind(X_18,$fot(meet(X,Y))),bind(X_7,$fot(X_31))]]) ).
cnf(refute_0_1363,plain,
meet(meet(X,Y),X_31) = meet(X,meet(Y,X_31)),
inference(subst,[],[associativity_of_meet:[bind(Z,$fot(X_31))]]) ).
cnf(refute_0_1364,plain,
( join(meet(meet(X,Y),X_31),meet(X_31,meet(X,Y))) != meet(meet(X,Y),X_31)
| meet(meet(X,Y),X_31) != meet(X,meet(Y,X_31))
| join(meet(X,meet(Y,X_31)),meet(X_31,meet(X,Y))) = meet(meet(X,Y),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X,Y),X_31),meet(X_31,meet(X,Y))),meet(meet(X,Y),X_31)) ),[0,0],$fot(meet(X,meet(Y,X_31)))]]) ).
cnf(refute_0_1365,plain,
( join(meet(meet(X,Y),X_31),meet(X_31,meet(X,Y))) != meet(meet(X,Y),X_31)
| join(meet(X,meet(Y,X_31)),meet(X_31,meet(X,Y))) = meet(meet(X,Y),X_31) ),
inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_31),meet(X,meet(Y,X_31))) )],[refute_0_1363,refute_0_1364]) ).
cnf(refute_0_1366,plain,
join(meet(X,meet(Y,X_31)),meet(X_31,meet(X,Y))) = meet(meet(X,Y),X_31),
inference(resolve,[$cnf( $equal(join(meet(meet(X,Y),X_31),meet(X_31,meet(X,Y))),meet(meet(X,Y),X_31)) )],[refute_0_1362,refute_0_1365]) ).
cnf(refute_0_1367,plain,
( join(meet(X,meet(Y,X_31)),meet(X_31,meet(X,Y))) != meet(meet(X,Y),X_31)
| meet(meet(X,Y),X_31) != meet(X,meet(Y,X_31))
| join(meet(X,meet(Y,X_31)),meet(X_31,meet(X,Y))) = meet(X,meet(Y,X_31)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X,meet(Y,X_31)),meet(X_31,meet(X,Y))),meet(X,meet(Y,X_31))) ),[0],$fot(meet(meet(X,Y),X_31))]]) ).
cnf(refute_0_1368,plain,
( join(meet(X,meet(Y,X_31)),meet(X_31,meet(X,Y))) != meet(meet(X,Y),X_31)
| join(meet(X,meet(Y,X_31)),meet(X_31,meet(X,Y))) = meet(X,meet(Y,X_31)) ),
inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_31),meet(X,meet(Y,X_31))) )],[refute_0_1363,refute_0_1367]) ).
cnf(refute_0_1369,plain,
join(meet(X,meet(Y,X_31)),meet(X_31,meet(X,Y))) = meet(X,meet(Y,X_31)),
inference(resolve,[$cnf( $equal(join(meet(X,meet(Y,X_31)),meet(X_31,meet(X,Y))),meet(meet(X,Y),X_31)) )],[refute_0_1366,refute_0_1368]) ).
cnf(refute_0_1370,plain,
join(meet(X_137,meet(X_138,X_139)),meet(X_139,meet(X_137,X_138))) = meet(X_137,meet(X_138,X_139)),
inference(subst,[],[refute_0_1369:[bind(X,$fot(X_137)),bind(Y,$fot(X_138)),bind(X_31,$fot(X_139))]]) ).
cnf(refute_0_1371,plain,
( join(meet(X_137,meet(X_138,X_139)),meet(X_139,meet(X_137,X_138))) != meet(X_137,meet(X_138,X_139))
| join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)) != join(X_129,join(meet(X_137,meet(X_138,X_139)),meet(X_139,meet(X_137,X_138))))
| join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)) = join(X_129,meet(X_137,meet(X_138,X_139))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)),join(X_129,join(meet(X_137,meet(X_138,X_139)),meet(X_139,meet(X_137,X_138))))) ),[1,1],$fot(meet(X_137,meet(X_138,X_139)))]]) ).
cnf(refute_0_1372,plain,
( join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)) != join(X_129,join(meet(X_137,meet(X_138,X_139)),meet(X_139,meet(X_137,X_138))))
| join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)) = join(X_129,meet(X_137,meet(X_138,X_139))) ),
inference(resolve,[$cnf( $equal(join(meet(X_137,meet(X_138,X_139)),meet(X_139,meet(X_137,X_138))),meet(X_137,meet(X_138,X_139))) )],[refute_0_1370,refute_0_1371]) ).
cnf(refute_0_1373,plain,
join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)) = join(X_129,meet(X_137,meet(X_138,X_139))),
inference(resolve,[$cnf( $equal(join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)),join(X_129,join(meet(X_137,meet(X_138,X_139)),meet(X_139,meet(X_137,X_138))))) )],[refute_0_1361,refute_0_1372]) ).
cnf(refute_0_1374,plain,
meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,join(meet(X_136,meet(X_134,X_135)),meet(X_134,meet(X_135,X_136))))) = join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),
inference(subst,[],[refute_0_362:[bind(X,$fot(meet(X_136,meet(X_134,X_135)))),bind(Y,$fot(meet(X_134,meet(X_135,X_136))))]]) ).
cnf(refute_0_1375,plain,
join(meet(X_136,meet(X_134,X_135)),meet(X_134,meet(X_135,X_136))) = meet(X_136,meet(X_134,X_135)),
inference(subst,[],[refute_0_566:[bind(X,$fot(X_134)),bind(Y,$fot(X_135)),bind(X_30,$fot(X_136))]]) ).
cnf(refute_0_1376,plain,
( join(meet(X_136,meet(X_134,X_135)),meet(X_134,meet(X_135,X_136))) != meet(X_136,meet(X_134,X_135))
| meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,join(meet(X_136,meet(X_134,X_135)),meet(X_134,meet(X_135,X_136))))) != join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))
| meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) = join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,join(meet(X_136,meet(X_134,X_135)),meet(X_134,meet(X_135,X_136))))),join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))) ),[0,1,1],$fot(meet(X_136,meet(X_134,X_135)))]]) ).
cnf(refute_0_1377,plain,
( meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,join(meet(X_136,meet(X_134,X_135)),meet(X_134,meet(X_135,X_136))))) != join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))
| meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) = join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)) ),
inference(resolve,[$cnf( $equal(join(meet(X_136,meet(X_134,X_135)),meet(X_134,meet(X_135,X_136))),meet(X_136,meet(X_134,X_135))) )],[refute_0_1375,refute_0_1376]) ).
cnf(refute_0_1378,plain,
meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) = join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),
inference(resolve,[$cnf( $equal(meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,join(meet(X_136,meet(X_134,X_135)),meet(X_134,meet(X_135,X_136))))),join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))) )],[refute_0_1374,refute_0_1377]) ).
cnf(refute_0_1379,plain,
meet(join(X_28,meet(X_136,meet(X_134,X_135))),join(meet(X_134,meet(X_135,X_136)),join(X_28,meet(X_136,meet(X_134,X_135))))) = join(X_28,meet(X_136,meet(X_134,X_135))),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_28,meet(X_136,meet(X_134,X_135))))),bind(Y,$fot(meet(X_134,meet(X_135,X_136))))]]) ).
cnf(refute_0_1380,plain,
( meet(Y,join(X_128,join(X_129,X_130))) != meet(join(X_130,join(X_128,X_129)),Y)
| meet(join(X_130,join(X_128,X_129)),Y) = meet(Y,join(X_128,join(X_129,X_130))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(Y,join(X_128,join(X_129,X_130))))),bind(Y0,$fot(meet(join(X_130,join(X_128,X_129)),Y)))]]) ).
cnf(refute_0_1381,plain,
meet(join(X_130,join(X_128,X_129)),Y) = meet(Y,join(X_128,join(X_129,X_130))),
inference(resolve,[$cnf( $equal(meet(Y,join(X_128,join(X_129,X_130))),meet(join(X_130,join(X_128,X_129)),Y)) )],[refute_0_1318,refute_0_1380]) ).
cnf(refute_0_1382,plain,
meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) = meet(join(X_28,meet(X_136,meet(X_134,X_135))),join(meet(X_134,meet(X_135,X_136)),join(X_28,meet(X_136,meet(X_134,X_135))))),
inference(subst,[],[refute_0_1381:[bind(Y,$fot(join(X_28,meet(X_136,meet(X_134,X_135))))),bind(X_128,$fot(meet(X_134,meet(X_135,X_136)))),bind(X_129,$fot(X_28)),bind(X_130,$fot(meet(X_136,meet(X_134,X_135))))]]) ).
cnf(refute_0_1383,plain,
( meet(join(X_28,meet(X_136,meet(X_134,X_135))),join(meet(X_134,meet(X_135,X_136)),join(X_28,meet(X_136,meet(X_134,X_135))))) != join(X_28,meet(X_136,meet(X_134,X_135)))
| meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) != meet(join(X_28,meet(X_136,meet(X_134,X_135))),join(meet(X_134,meet(X_135,X_136)),join(X_28,meet(X_136,meet(X_134,X_135)))))
| meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) = join(X_28,meet(X_136,meet(X_134,X_135))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))))),bind(Y0,$fot(meet(join(X_28,meet(X_136,meet(X_134,X_135))),join(meet(X_134,meet(X_135,X_136)),join(X_28,meet(X_136,meet(X_134,X_135))))))),bind(Z0,$fot(join(X_28,meet(X_136,meet(X_134,X_135)))))]]) ).
cnf(refute_0_1384,plain,
( meet(join(X_28,meet(X_136,meet(X_134,X_135))),join(meet(X_134,meet(X_135,X_136)),join(X_28,meet(X_136,meet(X_134,X_135))))) != join(X_28,meet(X_136,meet(X_134,X_135)))
| meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) = join(X_28,meet(X_136,meet(X_134,X_135))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))),meet(join(X_28,meet(X_136,meet(X_134,X_135))),join(meet(X_134,meet(X_135,X_136)),join(X_28,meet(X_136,meet(X_134,X_135)))))) )],[refute_0_1382,refute_0_1383]) ).
cnf(refute_0_1385,plain,
meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) = join(X_28,meet(X_136,meet(X_134,X_135))),
inference(resolve,[$cnf( $equal(meet(join(X_28,meet(X_136,meet(X_134,X_135))),join(meet(X_134,meet(X_135,X_136)),join(X_28,meet(X_136,meet(X_134,X_135))))),join(X_28,meet(X_136,meet(X_134,X_135)))) )],[refute_0_1379,refute_0_1384]) ).
cnf(refute_0_1386,plain,
( meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) != join(X_28,meet(X_136,meet(X_134,X_135)))
| meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) != join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))
| join(X_28,meet(X_136,meet(X_134,X_135))) = join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))),join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))) ),[0],$fot(join(X_28,meet(X_136,meet(X_134,X_135))))]]) ).
cnf(refute_0_1387,plain,
( meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))) != join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))
| join(X_28,meet(X_136,meet(X_134,X_135))) = join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))),join(X_28,meet(X_136,meet(X_134,X_135)))) )],[refute_0_1385,refute_0_1386]) ).
cnf(refute_0_1388,plain,
join(X_28,meet(X_136,meet(X_134,X_135))) = join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),
inference(resolve,[$cnf( $equal(meet(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)),join(X_28,meet(X_136,meet(X_134,X_135)))),join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))) )],[refute_0_1378,refute_0_1387]) ).
cnf(refute_0_1389,plain,
( join(X_28,meet(X_136,meet(X_134,X_135))) != join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))
| join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)) = join(X_28,meet(X_136,meet(X_134,X_135))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_28,meet(X_136,meet(X_134,X_135))))),bind(Y0,$fot(join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))))]]) ).
cnf(refute_0_1390,plain,
join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28)) = join(X_28,meet(X_136,meet(X_134,X_135))),
inference(resolve,[$cnf( $equal(join(X_28,meet(X_136,meet(X_134,X_135))),join(meet(X_136,meet(X_134,X_135)),join(meet(X_134,meet(X_135,X_136)),X_28))) )],[refute_0_1388,refute_0_1389]) ).
cnf(refute_0_1391,plain,
join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)) = join(X_129,meet(X_139,meet(X_137,X_138))),
inference(subst,[],[refute_0_1390:[bind(X_134,$fot(X_137)),bind(X_135,$fot(X_138)),bind(X_136,$fot(X_139)),bind(X_28,$fot(X_129))]]) ).
cnf(refute_0_1392,plain,
( join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)) != join(X_129,meet(X_137,meet(X_138,X_139)))
| join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)) != join(X_129,meet(X_139,meet(X_137,X_138)))
| join(X_129,meet(X_139,meet(X_137,X_138))) = join(X_129,meet(X_137,meet(X_138,X_139))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)),join(X_129,meet(X_137,meet(X_138,X_139)))) ),[0],$fot(join(X_129,meet(X_139,meet(X_137,X_138))))]]) ).
cnf(refute_0_1393,plain,
( join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)) != join(X_129,meet(X_137,meet(X_138,X_139)))
| join(X_129,meet(X_139,meet(X_137,X_138))) = join(X_129,meet(X_137,meet(X_138,X_139))) ),
inference(resolve,[$cnf( $equal(join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)),join(X_129,meet(X_139,meet(X_137,X_138)))) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
join(X_129,meet(X_139,meet(X_137,X_138))) = join(X_129,meet(X_137,meet(X_138,X_139))),
inference(resolve,[$cnf( $equal(join(meet(X_139,meet(X_137,X_138)),join(meet(X_137,meet(X_138,X_139)),X_129)),join(X_129,meet(X_137,meet(X_138,X_139)))) )],[refute_0_1373,refute_0_1393]) ).
cnf(refute_0_1395,plain,
( join(X_129,meet(X_139,meet(X_137,X_138))) != join(X_129,meet(X_137,meet(X_138,X_139)))
| join(X_129,meet(X_137,meet(X_138,X_139))) = join(X_129,meet(X_139,meet(X_137,X_138))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_129,meet(X_139,meet(X_137,X_138))))),bind(Y0,$fot(join(X_129,meet(X_137,meet(X_138,X_139)))))]]) ).
cnf(refute_0_1396,plain,
join(X_129,meet(X_137,meet(X_138,X_139))) = join(X_129,meet(X_139,meet(X_137,X_138))),
inference(resolve,[$cnf( $equal(join(X_129,meet(X_139,meet(X_137,X_138))),join(X_129,meet(X_137,meet(X_138,X_139)))) )],[refute_0_1394,refute_0_1395]) ).
cnf(refute_0_1397,plain,
join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))) = join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))),
inference(subst,[],[refute_0_1396:[bind(X_129,$fot(Y)),bind(X_137,$fot(join(join(meet(X_145,X_144),X_143),Y))),bind(X_138,$fot(X_144)),bind(X_139,$fot(X_145))]]) ).
cnf(refute_0_1398,plain,
( join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))) != join(Y,meet(X_145,X_144))
| join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))) != join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)))
| join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))) = join(Y,meet(X_145,X_144)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))),bind(Y0,$fot(join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))))),bind(Z0,$fot(join(Y,meet(X_145,X_144))))]]) ).
cnf(refute_0_1399,plain,
( join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))) != join(Y,meet(X_145,X_144))
| join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))) = join(Y,meet(X_145,X_144)) ),
inference(resolve,[$cnf( $equal(join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))),join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144)))) )],[refute_0_1397,refute_0_1398]) ).
cnf(refute_0_1400,plain,
join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))) = join(Y,meet(X_145,X_144)),
inference(resolve,[$cnf( $equal(join(Y,meet(X_145,meet(join(join(meet(X_145,X_144),X_143),Y),X_144))),join(Y,meet(X_145,X_144))) )],[refute_0_1261,refute_0_1399]) ).
cnf(refute_0_1401,plain,
meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),
introduced(tautology,[refl,[$fot(meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))))]]) ).
cnf(refute_0_1402,plain,
( join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))) != join(Y,meet(X_145,X_144))
| meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) != meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))
| meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))) ),[1,1],$fot(join(Y,meet(X_145,X_144)))]]) ).
cnf(refute_0_1403,plain,
( join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))) != join(Y,meet(X_145,X_144))
| meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))) )],[refute_0_1401,refute_0_1402]) ).
cnf(refute_0_1404,plain,
meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))),
inference(resolve,[$cnf( $equal(join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))),join(Y,meet(X_145,X_144))) )],[refute_0_1400,refute_0_1403]) ).
cnf(refute_0_1405,plain,
( join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) != meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))
| meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) != meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144)))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144)))) ),[0],$fot(meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))))]]) ).
cnf(refute_0_1406,plain,
( join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) != meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144)))) )],[refute_0_1404,refute_0_1405]) ).
cnf(refute_0_1407,plain,
( join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))) != meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))) )],[refute_0_1233,refute_0_1406]) ).
cnf(refute_0_1408,plain,
join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),meet(Y,join(meet(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145)))),meet(join(meet(X_144,X_145),X_143),join(Y,meet(join(join(meet(X_145,X_144),X_143),Y),meet(X_144,X_145))))) )],[refute_0_1207,refute_0_1407]) ).
cnf(refute_0_1409,plain,
join(join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))),Z) = join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_51,X_52))),bind(Y,$fot(meet(X_51,meet(X_52,X_50))))]]) ).
cnf(refute_0_1410,plain,
( join(join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))),Z) != join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z))
| join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))) != meet(X_51,X_52)
| join(meet(X_51,X_52),Z) = join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))),Z),join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z))) ),[0,0],$fot(meet(X_51,X_52))]]) ).
cnf(refute_0_1411,plain,
( join(join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))),Z) != join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z))
| join(meet(X_51,X_52),Z) = join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z)) ),
inference(resolve,[$cnf( $equal(join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))),meet(X_51,X_52)) )],[refute_0_802,refute_0_1410]) ).
cnf(refute_0_1412,plain,
join(meet(X_51,X_52),Z) = join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z)),
inference(resolve,[$cnf( $equal(join(join(meet(X_51,X_52),meet(X_51,meet(X_52,X_50))),Z),join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z))) )],[refute_0_1409,refute_0_1411]) ).
cnf(refute_0_1413,plain,
( join(meet(X_51,X_52),Z) != join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z))
| join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z)) = join(meet(X_51,X_52),Z) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_51,X_52),Z))),bind(Y0,$fot(join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z))))]]) ).
cnf(refute_0_1414,plain,
join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z)) = join(meet(X_51,X_52),Z),
inference(resolve,[$cnf( $equal(join(meet(X_51,X_52),Z),join(meet(X_51,X_52),join(meet(X_51,meet(X_52,X_50)),Z))) )],[refute_0_1412,refute_0_1413]) ).
cnf(refute_0_1415,plain,
join(meet(X_144,X_145),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))) = join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)),
inference(subst,[],[refute_0_1414:[bind(Z,$fot(meet(join(X_143,meet(X_145,X_144)),Y))),bind(X_50,$fot(Y)),bind(X_51,$fot(X_144)),bind(X_52,$fot(X_145))]]) ).
cnf(refute_0_1416,plain,
meet(meet(X_144,X_145),Y) = meet(X_144,meet(X_145,Y)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_144)),bind(Y,$fot(X_145)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_1417,plain,
join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)) = join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)))]]) ).
cnf(refute_0_1418,plain,
( join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)) != join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y))
| meet(meet(X_144,X_145),Y) != meet(X_144,meet(X_145,Y))
| join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)) = join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)),join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y))) ),[1,0],$fot(meet(X_144,meet(X_145,Y)))]]) ).
cnf(refute_0_1419,plain,
( meet(meet(X_144,X_145),Y) != meet(X_144,meet(X_145,Y))
| join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)) = join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)),join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y))) )],[refute_0_1417,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)) = join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y)),
inference(resolve,[$cnf( $equal(meet(meet(X_144,X_145),Y),meet(X_144,meet(X_145,Y))) )],[refute_0_1416,refute_0_1419]) ).
cnf(refute_0_1421,plain,
join(meet(Y,join(meet(X_145,X_144),X_143)),meet(meet(X_144,X_145),Y)) = join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)),
inference(subst,[],[refute_0_913:[bind(X_152,$fot(meet(X_145,X_144))),bind(X_154,$fot(X_143)),bind(X_18,$fot(Y)),bind(X_74,$fot(meet(meet(X_144,X_145),Y)))]]) ).
cnf(refute_0_1422,plain,
meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) = join(meet(Y,join(meet(X_145,X_144),X_143)),meet(meet(X_144,X_145),Y)),
inference(subst,[],[refute_0_1048:[bind(X_158,$fot(meet(X_144,X_145))),bind(X_160,$fot(join(meet(X_145,X_144),X_143))),bind(X_22,$fot(Y))]]) ).
cnf(refute_0_1423,plain,
( join(meet(Y,join(meet(X_145,X_144),X_143)),meet(meet(X_144,X_145),Y)) != join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y))
| meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) != join(meet(Y,join(meet(X_145,X_144),X_143)),meet(meet(X_144,X_145),Y))
| meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) = join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))),bind(Y0,$fot(join(meet(Y,join(meet(X_145,X_144),X_143)),meet(meet(X_144,X_145),Y)))),bind(Z0,$fot(join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y))))]]) ).
cnf(refute_0_1424,plain,
( join(meet(Y,join(meet(X_145,X_144),X_143)),meet(meet(X_144,X_145),Y)) != join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y))
| meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) = join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)) ),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))),join(meet(Y,join(meet(X_145,X_144),X_143)),meet(meet(X_144,X_145),Y))) )],[refute_0_1422,refute_0_1423]) ).
cnf(refute_0_1425,plain,
meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) = join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)),
inference(resolve,[$cnf( $equal(join(meet(Y,join(meet(X_145,X_144),X_143)),meet(meet(X_144,X_145),Y)),join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y))) )],[refute_0_1421,refute_0_1424]) ).
cnf(refute_0_1426,plain,
( join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)) != join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))
| meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) != join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y))
| meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) = join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))),bind(Y0,$fot(join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)))),bind(Z0,$fot(join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))))]]) ).
cnf(refute_0_1427,plain,
( join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)) != join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))
| meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) = join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y)) ),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))),join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y))) )],[refute_0_1425,refute_0_1426]) ).
cnf(refute_0_1428,plain,
meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) = join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_144,X_145),Y),meet(join(X_143,meet(X_145,X_144)),Y)),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))) )],[refute_0_1420,refute_0_1427]) ).
cnf(refute_0_1429,plain,
join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),
introduced(tautology,[refl,[$fot(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))))]]) ).
cnf(refute_0_1430,plain,
( join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) != join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))
| meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) != join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))) ),[1,1],$fot(join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y)))]]) ).
cnf(refute_0_1431,plain,
( meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))) != join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))))) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143)))),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))) )],[refute_0_1428,refute_0_1431]) ).
cnf(refute_0_1433,plain,
( join(meet(X_144,X_145),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))) != join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) != join(meet(X_144,X_145),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y)))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))))),bind(Y0,$fot(join(meet(X_144,X_145),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))))),bind(Z0,$fot(join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y))))]]) ).
cnf(refute_0_1434,plain,
( join(meet(X_144,X_145),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))) != join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),join(meet(X_144,X_145),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y)))) )],[refute_0_1432,refute_0_1433]) ).
cnf(refute_0_1435,plain,
join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(meet(X_144,meet(X_145,Y)),meet(join(X_143,meet(X_145,X_144)),Y))),join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y))) )],[refute_0_1415,refute_0_1434]) ).
cnf(refute_0_1436,plain,
( join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) != join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y))
| join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) != meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144)))
| join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144)))) ),[0],$fot(join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)))]]) ).
cnf(refute_0_1437,plain,
( join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))) != meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144)))
| join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y))) )],[refute_0_1435,refute_0_1436]) ).
cnf(refute_0_1438,plain,
join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)) = meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),meet(Y,join(meet(X_144,X_145),meet(Y,join(meet(X_145,X_144),X_143))))),meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144)))) )],[refute_0_1408,refute_0_1437]) ).
cnf(refute_0_1439,plain,
( join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)) != meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144)))
| meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))) = join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)))),bind(Y0,$fot(meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144)))))]]) ).
cnf(refute_0_1440,plain,
meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144))) = join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),meet(join(X_143,meet(X_145,X_144)),Y)),meet(join(meet(X_144,X_145),X_143),join(Y,meet(X_145,X_144)))) )],[refute_0_1438,refute_0_1439]) ).
cnf(refute_0_1441,plain,
meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) = join(meet(X_160,X_42),meet(join(Y,meet(X_42,X_160)),meet(Y,X_42))),
inference(subst,[],[refute_0_1440:[bind(Y,$fot(meet(Y,X_42))),bind(X_143,$fot(Y)),bind(X_144,$fot(X_160)),bind(X_145,$fot(X_42))]]) ).
cnf(refute_0_1442,plain,
( join(meet(X_160,X_42),meet(join(Y,meet(X_42,X_160)),meet(Y,X_42))) != join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y)))
| meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) != join(meet(X_160,X_42),meet(join(Y,meet(X_42,X_160)),meet(Y,X_42)))
| meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) = join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))),bind(Y0,$fot(join(meet(X_160,X_42),meet(join(Y,meet(X_42,X_160)),meet(Y,X_42))))),bind(Z0,$fot(join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y)))))]]) ).
cnf(refute_0_1443,plain,
( join(meet(X_160,X_42),meet(join(Y,meet(X_42,X_160)),meet(Y,X_42))) != join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y)))
| meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) = join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))),join(meet(X_160,X_42),meet(join(Y,meet(X_42,X_160)),meet(Y,X_42)))) )],[refute_0_1441,refute_0_1442]) ).
cnf(refute_0_1444,plain,
meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) = join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))),
inference(resolve,[$cnf( $equal(join(meet(X_160,X_42),meet(join(Y,meet(X_42,X_160)),meet(Y,X_42))),join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y)))) )],[refute_0_1195,refute_0_1443]) ).
cnf(refute_0_1445,plain,
( join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))) != join(meet(X_160,X_42),meet(X_42,Y))
| meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) != join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y)))
| meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) = join(meet(X_160,X_42),meet(X_42,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))),bind(Y0,$fot(join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))))),bind(Z0,$fot(join(meet(X_160,X_42),meet(X_42,Y))))]]) ).
cnf(refute_0_1446,plain,
( join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))) != join(meet(X_160,X_42),meet(X_42,Y))
| meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) = join(meet(X_160,X_42),meet(X_42,Y)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))),join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y)))) )],[refute_0_1444,refute_0_1445]) ).
cnf(refute_0_1447,plain,
meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) = join(meet(X_160,X_42),meet(X_42,Y)),
inference(resolve,[$cnf( $equal(join(meet(X_160,X_42),meet(meet(Y,X_42),join(meet(X_42,X_160),Y))),join(meet(X_160,X_42),meet(X_42,Y))) )],[refute_0_1194,refute_0_1446]) ).
cnf(refute_0_1448,plain,
meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) = meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))),
introduced(tautology,[refl,[$fot(meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))))]]) ).
cnf(refute_0_1449,plain,
( meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) != join(meet(X_160,X_42),meet(X_42,Y))
| meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) = meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))),meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))) ),[1,1],$fot(join(meet(X_160,X_42),meet(X_42,Y)))]]) ).
cnf(refute_0_1450,plain,
( meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))) != join(meet(X_160,X_42),meet(X_42,Y))
| meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) = meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))) ),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))),meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))) )],[refute_0_1448,refute_0_1449]) ).
cnf(refute_0_1451,plain,
meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) = meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))),
inference(resolve,[$cnf( $equal(meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))),join(meet(X_160,X_42),meet(X_42,Y))) )],[refute_0_1447,refute_0_1450]) ).
cnf(refute_0_1452,plain,
( meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))) != join(meet(X_42,Y),meet(X_42,X_160))
| meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) != meet(X_42,join(meet(X_160,X_42),meet(X_42,Y)))
| meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) = join(meet(X_42,Y),meet(X_42,X_160)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))))),bind(Y0,$fot(meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))))),bind(Z0,$fot(join(meet(X_42,Y),meet(X_42,X_160))))]]) ).
cnf(refute_0_1453,plain,
( meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))) != join(meet(X_42,Y),meet(X_42,X_160))
| meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) = join(meet(X_42,Y),meet(X_42,X_160)) ),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))),meet(X_42,join(meet(X_160,X_42),meet(X_42,Y)))) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) = join(meet(X_42,Y),meet(X_42,X_160)),
inference(resolve,[$cnf( $equal(meet(X_42,join(meet(X_160,X_42),meet(X_42,Y))),join(meet(X_42,Y),meet(X_42,X_160))) )],[refute_0_1185,refute_0_1453]) ).
cnf(refute_0_1455,plain,
( join(meet(X_42,X_160),meet(Y,X_42)) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))) != join(meet(X_42,Y),meet(X_42,X_160))
| join(meet(X_42,X_160),meet(Y,X_42)) = join(meet(X_42,Y),meet(X_42,X_160)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_42,X_160),meet(Y,X_42)),join(meet(X_42,Y),meet(X_42,X_160))) ),[0],$fot(meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))))]]) ).
cnf(refute_0_1456,plain,
( join(meet(X_42,X_160),meet(Y,X_42)) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| join(meet(X_42,X_160),meet(Y,X_42)) = join(meet(X_42,Y),meet(X_42,X_160)) ),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160)))),join(meet(X_42,Y),meet(X_42,X_160))) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
( meet(X_42,join(meet(X_160,X_42),Y)) != meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))
| join(meet(X_42,X_160),meet(Y,X_42)) = join(meet(X_42,Y),meet(X_42,X_160)) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,X_160),meet(Y,X_42)),meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))) )],[refute_0_1143,refute_0_1456]) ).
cnf(refute_0_1458,plain,
join(meet(X_42,X_160),meet(Y,X_42)) = join(meet(X_42,Y),meet(X_42,X_160)),
inference(resolve,[$cnf( $equal(meet(X_42,join(meet(X_160,X_42),Y)),meet(X_42,meet(join(meet(X_160,X_42),Y),join(meet(Y,X_42),meet(X_42,X_160))))) )],[refute_0_1122,refute_0_1457]) ).
cnf(refute_0_1459,plain,
join(meet(X_39,join(X_38,Y)),meet(Y,X_39)) = join(meet(X_39,Y),meet(X_39,join(X_38,Y))),
inference(subst,[],[refute_0_1458:[bind(X_160,$fot(join(X_38,Y))),bind(X_42,$fot(X_39))]]) ).
cnf(refute_0_1460,plain,
( join(meet(X_39,Y),meet(X_39,join(X_38,Y))) != meet(X_39,join(X_38,Y))
| join(meet(X_39,join(X_38,Y)),meet(Y,X_39)) != join(meet(X_39,Y),meet(X_39,join(X_38,Y)))
| join(meet(X_39,join(X_38,Y)),meet(Y,X_39)) = meet(X_39,join(X_38,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_39,join(X_38,Y)),meet(Y,X_39)))),bind(Y0,$fot(join(meet(X_39,Y),meet(X_39,join(X_38,Y))))),bind(Z0,$fot(meet(X_39,join(X_38,Y))))]]) ).
cnf(refute_0_1461,plain,
( join(meet(X_39,Y),meet(X_39,join(X_38,Y))) != meet(X_39,join(X_38,Y))
| join(meet(X_39,join(X_38,Y)),meet(Y,X_39)) = meet(X_39,join(X_38,Y)) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_38,Y)),meet(Y,X_39)),join(meet(X_39,Y),meet(X_39,join(X_38,Y)))) )],[refute_0_1459,refute_0_1460]) ).
cnf(refute_0_1462,plain,
join(meet(X_39,join(X_38,Y)),meet(Y,X_39)) = meet(X_39,join(X_38,Y)),
inference(resolve,[$cnf( $equal(join(meet(X_39,Y),meet(X_39,join(X_38,Y))),meet(X_39,join(X_38,Y))) )],[refute_0_1079,refute_0_1461]) ).
cnf(refute_0_1463,plain,
meet(X_44,join(X_45,join(join(X,Y),X_44))) = X_44,
inference(subst,[],[refute_0_7:[bind(X,$fot(X_44)),bind(X_25,$fot(X_45)),bind(X_26,$fot(join(X,Y)))]]) ).
cnf(refute_0_1464,plain,
join(join(X,Y),X_44) = join(X,join(Y,X_44)),
inference(subst,[],[associativity_of_join:[bind(Z,$fot(X_44))]]) ).
cnf(refute_0_1465,plain,
( join(join(X,Y),X_44) != join(X,join(Y,X_44))
| meet(X_44,join(X_45,join(join(X,Y),X_44))) != X_44
| meet(X_44,join(X_45,join(X,join(Y,X_44)))) = X_44 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_44,join(X_45,join(join(X,Y),X_44))),X_44) ),[0,1,1],$fot(join(X,join(Y,X_44)))]]) ).
cnf(refute_0_1466,plain,
( meet(X_44,join(X_45,join(join(X,Y),X_44))) != X_44
| meet(X_44,join(X_45,join(X,join(Y,X_44)))) = X_44 ),
inference(resolve,[$cnf( $equal(join(join(X,Y),X_44),join(X,join(Y,X_44))) )],[refute_0_1464,refute_0_1465]) ).
cnf(refute_0_1467,plain,
meet(X_44,join(X_45,join(X,join(Y,X_44)))) = X_44,
inference(resolve,[$cnf( $equal(meet(X_44,join(X_45,join(join(X,Y),X_44))),X_44) )],[refute_0_1463,refute_0_1466]) ).
cnf(refute_0_1468,plain,
meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,join(Y,meet(X_156,join(meet(Y,X_156),X)))))) = meet(X_156,join(meet(Y,X_156),X)),
inference(subst,[],[refute_0_1467:[bind(X_44,$fot(meet(X_156,join(meet(Y,X_156),X))))]]) ).
cnf(refute_0_1469,plain,
join(join(X_37,X_35),meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))) = join(X_37,X_35),
inference(subst,[],[absorption2:[bind(X,$fot(join(X_37,X_35))),bind(Y,$fot(join(X_36,meet(join(X_35,X_36),X_37))))]]) ).
cnf(refute_0_1470,plain,
( join(join(X_37,X_35),meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))) != join(X_37,X_35)
| meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37))) != join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))
| join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_37,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_37,X_35),meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))),join(X_37,X_35)) ),[0,1],$fot(join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))]]) ).
cnf(refute_0_1471,plain,
( join(join(X_37,X_35),meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))) != join(X_37,X_35)
| join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_37,X_35) ),
inference(resolve,[$cnf( $equal(meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37))),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) )],[refute_0_265,refute_0_1470]) ).
cnf(refute_0_1472,plain,
join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_37,X_35),
inference(resolve,[$cnf( $equal(join(join(X_37,X_35),meet(join(X_37,X_35),join(X_36,meet(join(X_35,X_36),X_37)))),join(X_37,X_35)) )],[refute_0_1469,refute_0_1471]) ).
cnf(refute_0_1473,plain,
join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_35,meet(X_36,join(meet(X_35,X_36),X_37))),
inference(subst,[],[refute_0_477:[bind(X_25,$fot(X_35)),bind(X_27,$fot(meet(X_36,join(meet(X_35,X_36),X_37)))),bind(X_7,$fot(X_37))]]) ).
cnf(refute_0_1474,plain,
join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))) = join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))),
introduced(tautology,[refl,[$fot(join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))))]]) ).
cnf(refute_0_1475,plain,
( join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) != join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))
| join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))) != join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))))
| join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))) = join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))),join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))))) ),[1,1],$fot(join(X_35,meet(X_36,join(meet(X_35,X_36),X_37))))]]) ).
cnf(refute_0_1476,plain,
( join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) != join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))
| join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))) = join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))) ),
inference(resolve,[$cnf( $equal(join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))),join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))))) )],[refute_0_1474,refute_0_1475]) ).
cnf(refute_0_1477,plain,
join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))) = join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))),
inference(resolve,[$cnf( $equal(join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))),join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))) )],[refute_0_1473,refute_0_1476]) ).
cnf(refute_0_1478,plain,
join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_37)),bind(Y,$fot(X_35)),bind(Z,$fot(join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))))]]) ).
cnf(refute_0_1479,plain,
( join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))) != join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37))))
| join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) != join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))))
| join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))))),bind(Y0,$fot(join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))))),bind(Z0,$fot(join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37))))))]]) ).
cnf(refute_0_1480,plain,
( join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))) != join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37))))
| join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))) ),
inference(resolve,[$cnf( $equal(join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))),join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))))) )],[refute_0_1478,refute_0_1479]) ).
cnf(refute_0_1481,plain,
join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))),
inference(resolve,[$cnf( $equal(join(X_37,join(X_35,join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37))))),join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37))))) )],[refute_0_1477,refute_0_1480]) ).
cnf(refute_0_1482,plain,
( join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) != join(X_37,X_35)
| join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) != join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37))))
| join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_37,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))),join(X_37,X_35)) ),[0],$fot(join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))))]]) ).
cnf(refute_0_1483,plain,
( join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))) != join(X_37,X_35)
| join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_37,X_35) ),
inference(resolve,[$cnf( $equal(join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))),join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37))))) )],[refute_0_1481,refute_0_1482]) ).
cnf(refute_0_1484,plain,
join(X_37,join(X_35,meet(X_36,join(meet(X_35,X_36),X_37)))) = join(X_37,X_35),
inference(resolve,[$cnf( $equal(join(join(X_37,X_35),join(meet(X_37,X_35),meet(X_36,join(meet(X_35,X_36),X_37)))),join(X_37,X_35)) )],[refute_0_1472,refute_0_1483]) ).
cnf(refute_0_1485,plain,
join(X,join(Y,meet(X_156,join(meet(Y,X_156),X)))) = join(X,Y),
inference(subst,[],[refute_0_1484:[bind(X_35,$fot(Y)),bind(X_36,$fot(X_156)),bind(X_37,$fot(X))]]) ).
cnf(refute_0_1486,plain,
( join(X,join(Y,meet(X_156,join(meet(Y,X_156),X)))) != join(X,Y)
| meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,join(Y,meet(X_156,join(meet(Y,X_156),X)))))) != meet(X_156,join(meet(Y,X_156),X))
| meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,Y))) = meet(X_156,join(meet(Y,X_156),X)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,join(Y,meet(X_156,join(meet(Y,X_156),X)))))),meet(X_156,join(meet(Y,X_156),X))) ),[0,1,1],$fot(join(X,Y))]]) ).
cnf(refute_0_1487,plain,
( meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,join(Y,meet(X_156,join(meet(Y,X_156),X)))))) != meet(X_156,join(meet(Y,X_156),X))
| meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,Y))) = meet(X_156,join(meet(Y,X_156),X)) ),
inference(resolve,[$cnf( $equal(join(X,join(Y,meet(X_156,join(meet(Y,X_156),X)))),join(X,Y)) )],[refute_0_1485,refute_0_1486]) ).
cnf(refute_0_1488,plain,
meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,Y))) = meet(X_156,join(meet(Y,X_156),X)),
inference(resolve,[$cnf( $equal(meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,join(Y,meet(X_156,join(meet(Y,X_156),X)))))),meet(X_156,join(meet(Y,X_156),X))) )],[refute_0_1468,refute_0_1487]) ).
cnf(refute_0_1489,plain,
meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,Y))) = meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_156)),bind(Y,$fot(join(meet(Y,X_156),X))),bind(Z,$fot(join(X_45,join(X,Y))))]]) ).
cnf(refute_0_1490,plain,
( meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,Y))) != meet(X_156,join(meet(Y,X_156),X))
| meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,Y))) != meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))))
| meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) = meet(X_156,join(meet(Y,X_156),X)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,Y))),meet(X_156,join(meet(Y,X_156),X))) ),[0],$fot(meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))))]]) ).
cnf(refute_0_1491,plain,
( meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,Y))) != meet(X_156,join(meet(Y,X_156),X))
| meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) = meet(X_156,join(meet(Y,X_156),X)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,Y))),meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))))) )],[refute_0_1489,refute_0_1490]) ).
cnf(refute_0_1492,plain,
meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) = meet(X_156,join(meet(Y,X_156),X)),
inference(resolve,[$cnf( $equal(meet(meet(X_156,join(meet(Y,X_156),X)),join(X_45,join(X,Y))),meet(X_156,join(meet(Y,X_156),X))) )],[refute_0_1488,refute_0_1491]) ).
cnf(refute_0_1493,plain,
meet(X_156,join(meet(Y,X_156),X)) = join(meet(X_156,Y),meet(X,X_156)),
inference(subst,[],[refute_0_1140:[bind(X_36,$fot(X)),bind(X_37,$fot(X_156)),bind(X_7,$fot(Y))]]) ).
cnf(refute_0_1494,plain,
( meet(X_156,join(meet(Y,X_156),X)) != join(meet(X_156,Y),meet(X,X_156))
| meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) != meet(X_156,join(meet(Y,X_156),X))
| meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) = join(meet(X_156,Y),meet(X,X_156)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))),meet(X_156,join(meet(Y,X_156),X))) ),[1],$fot(join(meet(X_156,Y),meet(X,X_156)))]]) ).
cnf(refute_0_1495,plain,
( meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) != meet(X_156,join(meet(Y,X_156),X))
| meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) = join(meet(X_156,Y),meet(X,X_156)) ),
inference(resolve,[$cnf( $equal(meet(X_156,join(meet(Y,X_156),X)),join(meet(X_156,Y),meet(X,X_156))) )],[refute_0_1493,refute_0_1494]) ).
cnf(refute_0_1496,plain,
meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) = join(meet(X_156,Y),meet(X,X_156)),
inference(resolve,[$cnf( $equal(meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))),meet(X_156,join(meet(Y,X_156),X))) )],[refute_0_1492,refute_0_1495]) ).
cnf(refute_0_1497,plain,
meet(meet(X,join(X_45,join(X_46,X))),Z) = meet(X,meet(join(X_45,join(X_46,X)),Z)),
inference(subst,[],[associativity_of_meet:[bind(Y,$fot(join(X_45,join(X_46,X))))]]) ).
cnf(refute_0_1498,plain,
meet(X,join(X_45,join(X_46,X))) = X,
inference(subst,[],[refute_0_7:[bind(X_25,$fot(X_45)),bind(X_26,$fot(X_46))]]) ).
cnf(refute_0_1499,plain,
( meet(X,join(X_45,join(X_46,X))) != X
| meet(meet(X,join(X_45,join(X_46,X))),Z) != meet(X,meet(join(X_45,join(X_46,X)),Z))
| meet(X,Z) = meet(X,meet(join(X_45,join(X_46,X)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,join(X_45,join(X_46,X))),Z),meet(X,meet(join(X_45,join(X_46,X)),Z))) ),[0,0],$fot(X)]]) ).
cnf(refute_0_1500,plain,
( meet(meet(X,join(X_45,join(X_46,X))),Z) != meet(X,meet(join(X_45,join(X_46,X)),Z))
| meet(X,Z) = meet(X,meet(join(X_45,join(X_46,X)),Z)) ),
inference(resolve,[$cnf( $equal(meet(X,join(X_45,join(X_46,X))),X) )],[refute_0_1498,refute_0_1499]) ).
cnf(refute_0_1501,plain,
meet(X,Z) = meet(X,meet(join(X_45,join(X_46,X)),Z)),
inference(resolve,[$cnf( $equal(meet(meet(X,join(X_45,join(X_46,X))),Z),meet(X,meet(join(X_45,join(X_46,X)),Z))) )],[refute_0_1497,refute_0_1500]) ).
cnf(refute_0_1502,plain,
( meet(X,Z) != meet(X,meet(join(X_45,join(X_46,X)),Z))
| meet(X,meet(join(X_45,join(X_46,X)),Z)) = meet(X,Z) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X,Z))),bind(Y0,$fot(meet(X,meet(join(X_45,join(X_46,X)),Z))))]]) ).
cnf(refute_0_1503,plain,
meet(X,meet(join(X_45,join(X_46,X)),Z)) = meet(X,Z),
inference(resolve,[$cnf( $equal(meet(X,Z),meet(X,meet(join(X_45,join(X_46,X)),Z))) )],[refute_0_1501,refute_0_1502]) ).
cnf(refute_0_1504,plain,
meet(Y,meet(join(X_45,join(X,Y)),X_156)) = meet(Y,X_156),
inference(subst,[],[refute_0_1503:[bind(X,$fot(Y)),bind(Z,$fot(X_156)),bind(X_46,$fot(X))]]) ).
cnf(refute_0_1505,plain,
join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))) = join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))),
introduced(tautology,[refl,[$fot(join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))))]]) ).
cnf(refute_0_1506,plain,
( join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))) != join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156)))
| meet(Y,meet(join(X_45,join(X,Y)),X_156)) != meet(Y,X_156)
| join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))) = join(X,meet(Y,X_156)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))),join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156)))) ),[1,1],$fot(meet(Y,X_156))]]) ).
cnf(refute_0_1507,plain,
( meet(Y,meet(join(X_45,join(X,Y)),X_156)) != meet(Y,X_156)
| join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))) = join(X,meet(Y,X_156)) ),
inference(resolve,[$cnf( $equal(join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))),join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156)))) )],[refute_0_1505,refute_0_1506]) ).
cnf(refute_0_1508,plain,
join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))) = join(X,meet(Y,X_156)),
inference(resolve,[$cnf( $equal(meet(Y,meet(join(X_45,join(X,Y)),X_156)),meet(Y,X_156)) )],[refute_0_1504,refute_0_1507]) ).
cnf(refute_0_1509,plain,
join(X_147,meet(X_146,meet(X_101,X_103))) = join(X_147,meet(meet(X_101,X_103),X_146)),
inference(subst,[],[refute_0_560:[bind(X_18,$fot(X_146)),bind(X_63,$fot(X_147)),bind(X_7,$fot(meet(X_101,X_103)))]]) ).
cnf(refute_0_1510,plain,
meet(X_103,meet(X_101,X_146)) = meet(X_146,meet(X_101,X_103)),
inference(subst,[],[refute_0_867:[bind(X_7,$fot(X_146))]]) ).
cnf(refute_0_1511,plain,
( meet(X_103,meet(X_101,X_146)) != meet(X_146,meet(X_101,X_103))
| meet(X_146,meet(X_101,X_103)) = meet(X_103,meet(X_101,X_146)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_103,meet(X_101,X_146)))),bind(Y0,$fot(meet(X_146,meet(X_101,X_103))))]]) ).
cnf(refute_0_1512,plain,
meet(X_146,meet(X_101,X_103)) = meet(X_103,meet(X_101,X_146)),
inference(resolve,[$cnf( $equal(meet(X_103,meet(X_101,X_146)),meet(X_146,meet(X_101,X_103))) )],[refute_0_1510,refute_0_1511]) ).
cnf(refute_0_1513,plain,
( join(X_147,meet(X_146,meet(X_101,X_103))) != join(X_147,meet(meet(X_101,X_103),X_146))
| meet(X_146,meet(X_101,X_103)) != meet(X_103,meet(X_101,X_146))
| join(X_147,meet(X_103,meet(X_101,X_146))) = join(X_147,meet(meet(X_101,X_103),X_146)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_147,meet(X_146,meet(X_101,X_103))),join(X_147,meet(meet(X_101,X_103),X_146))) ),[0,1],$fot(meet(X_103,meet(X_101,X_146)))]]) ).
cnf(refute_0_1514,plain,
( join(X_147,meet(X_146,meet(X_101,X_103))) != join(X_147,meet(meet(X_101,X_103),X_146))
| join(X_147,meet(X_103,meet(X_101,X_146))) = join(X_147,meet(meet(X_101,X_103),X_146)) ),
inference(resolve,[$cnf( $equal(meet(X_146,meet(X_101,X_103)),meet(X_103,meet(X_101,X_146))) )],[refute_0_1512,refute_0_1513]) ).
cnf(refute_0_1515,plain,
join(X_147,meet(X_103,meet(X_101,X_146))) = join(X_147,meet(meet(X_101,X_103),X_146)),
inference(resolve,[$cnf( $equal(join(X_147,meet(X_146,meet(X_101,X_103))),join(X_147,meet(meet(X_101,X_103),X_146))) )],[refute_0_1509,refute_0_1514]) ).
cnf(refute_0_1516,plain,
meet(meet(X_101,X_103),X_146) = meet(X_101,meet(X_103,X_146)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_101)),bind(Y,$fot(X_103)),bind(Z,$fot(X_146))]]) ).
cnf(refute_0_1517,plain,
join(X_147,meet(meet(X_101,X_103),X_146)) = join(X_147,meet(meet(X_101,X_103),X_146)),
introduced(tautology,[refl,[$fot(join(X_147,meet(meet(X_101,X_103),X_146)))]]) ).
cnf(refute_0_1518,plain,
( join(X_147,meet(meet(X_101,X_103),X_146)) != join(X_147,meet(meet(X_101,X_103),X_146))
| meet(meet(X_101,X_103),X_146) != meet(X_101,meet(X_103,X_146))
| join(X_147,meet(meet(X_101,X_103),X_146)) = join(X_147,meet(X_101,meet(X_103,X_146))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_147,meet(meet(X_101,X_103),X_146)),join(X_147,meet(meet(X_101,X_103),X_146))) ),[1,1],$fot(meet(X_101,meet(X_103,X_146)))]]) ).
cnf(refute_0_1519,plain,
( meet(meet(X_101,X_103),X_146) != meet(X_101,meet(X_103,X_146))
| join(X_147,meet(meet(X_101,X_103),X_146)) = join(X_147,meet(X_101,meet(X_103,X_146))) ),
inference(resolve,[$cnf( $equal(join(X_147,meet(meet(X_101,X_103),X_146)),join(X_147,meet(meet(X_101,X_103),X_146))) )],[refute_0_1517,refute_0_1518]) ).
cnf(refute_0_1520,plain,
join(X_147,meet(meet(X_101,X_103),X_146)) = join(X_147,meet(X_101,meet(X_103,X_146))),
inference(resolve,[$cnf( $equal(meet(meet(X_101,X_103),X_146),meet(X_101,meet(X_103,X_146))) )],[refute_0_1516,refute_0_1519]) ).
cnf(refute_0_1521,plain,
( join(X_147,meet(X_103,meet(X_101,X_146))) != join(X_147,meet(meet(X_101,X_103),X_146))
| join(X_147,meet(meet(X_101,X_103),X_146)) != join(X_147,meet(X_101,meet(X_103,X_146)))
| join(X_147,meet(X_103,meet(X_101,X_146))) = join(X_147,meet(X_101,meet(X_103,X_146))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_147,meet(X_103,meet(X_101,X_146))),join(X_147,meet(X_101,meet(X_103,X_146)))) ),[0],$fot(join(X_147,meet(meet(X_101,X_103),X_146)))]]) ).
cnf(refute_0_1522,plain,
( join(X_147,meet(X_103,meet(X_101,X_146))) != join(X_147,meet(meet(X_101,X_103),X_146))
| join(X_147,meet(X_103,meet(X_101,X_146))) = join(X_147,meet(X_101,meet(X_103,X_146))) ),
inference(resolve,[$cnf( $equal(join(X_147,meet(meet(X_101,X_103),X_146)),join(X_147,meet(X_101,meet(X_103,X_146)))) )],[refute_0_1520,refute_0_1521]) ).
cnf(refute_0_1523,plain,
join(X_147,meet(X_103,meet(X_101,X_146))) = join(X_147,meet(X_101,meet(X_103,X_146))),
inference(resolve,[$cnf( $equal(join(X_147,meet(X_103,meet(X_101,X_146))),join(X_147,meet(meet(X_101,X_103),X_146))) )],[refute_0_1515,refute_0_1522]) ).
cnf(refute_0_1524,plain,
( join(X_147,meet(X_103,meet(X_101,X_146))) != join(X_147,meet(X_101,meet(X_103,X_146)))
| join(X_147,meet(X_101,meet(X_103,X_146))) = join(X_147,meet(X_103,meet(X_101,X_146))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_147,meet(X_103,meet(X_101,X_146))))),bind(Y0,$fot(join(X_147,meet(X_101,meet(X_103,X_146)))))]]) ).
cnf(refute_0_1525,plain,
join(X_147,meet(X_101,meet(X_103,X_146))) = join(X_147,meet(X_103,meet(X_101,X_146))),
inference(resolve,[$cnf( $equal(join(X_147,meet(X_103,meet(X_101,X_146))),join(X_147,meet(X_101,meet(X_103,X_146)))) )],[refute_0_1523,refute_0_1524]) ).
cnf(refute_0_1526,plain,
join(X,meet(join(X_45,join(X,Y)),meet(Y,X_156))) = join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))),
inference(subst,[],[refute_0_1525:[bind(X_101,$fot(join(X_45,join(X,Y)))),bind(X_103,$fot(Y)),bind(X_146,$fot(X_156)),bind(X_147,$fot(X))]]) ).
cnf(refute_0_1527,plain,
join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) = meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,join(X,X_76))),Z))),
inference(subst,[],[refute_0_41:[bind(Y,$fot(join(X_74,join(X,X_76))))]]) ).
cnf(refute_0_1528,plain,
join(X,join(X_74,X_76)) = join(X,join(X_74,join(X,X_76))),
inference(subst,[],[refute_0_443:[bind(Y,$fot(X_74)),bind(X_25,$fot(X)),bind(X_27,$fot(X_76))]]) ).
cnf(refute_0_1529,plain,
( join(X,join(X_74,X_76)) != join(X,join(X_74,join(X,X_76)))
| join(X,join(X_74,join(X,X_76))) = join(X,join(X_74,X_76)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X,join(X_74,X_76)))),bind(Y0,$fot(join(X,join(X_74,join(X,X_76)))))]]) ).
cnf(refute_0_1530,plain,
join(X,join(X_74,join(X,X_76))) = join(X,join(X_74,X_76)),
inference(resolve,[$cnf( $equal(join(X,join(X_74,X_76)),join(X,join(X_74,join(X,X_76)))) )],[refute_0_1528,refute_0_1529]) ).
cnf(refute_0_1531,plain,
( join(X,join(X_74,join(X,X_76))) != join(X,join(X_74,X_76))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) != meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,join(X,X_76))),Z)))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) = meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))),meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,join(X,X_76))),Z)))) ),[1,1,1,0],$fot(join(X,join(X_74,X_76)))]]) ).
cnf(refute_0_1532,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) != meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,join(X,X_76))),Z)))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) = meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))) ),
inference(resolve,[$cnf( $equal(join(X,join(X_74,join(X,X_76))),join(X,join(X_74,X_76))) )],[refute_0_1530,refute_0_1531]) ).
cnf(refute_0_1533,plain,
join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) = meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))),meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,join(X,X_76))),Z)))) )],[refute_0_1527,refute_0_1532]) ).
cnf(refute_0_1534,plain,
meet(X_39,join(Y,join(X_39,X_38))) = meet(X_39,meet(join(X_39,X_38),join(Y,join(X_39,X_38)))),
inference(subst,[],[refute_0_121:[bind(Y,$fot(X_38)),bind(X_22,$fot(X_39)),bind(X_24,$fot(join(Y,join(X_39,X_38))))]]) ).
cnf(refute_0_1535,plain,
meet(join(X_39,X_38),join(Y,join(X_39,X_38))) = join(X_39,X_38),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_39,X_38)))]]) ).
cnf(refute_0_1536,plain,
( meet(X_39,join(Y,join(X_39,X_38))) != meet(X_39,meet(join(X_39,X_38),join(Y,join(X_39,X_38))))
| meet(join(X_39,X_38),join(Y,join(X_39,X_38))) != join(X_39,X_38)
| meet(X_39,join(Y,join(X_39,X_38))) = meet(X_39,join(X_39,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(Y,join(X_39,X_38))),meet(X_39,meet(join(X_39,X_38),join(Y,join(X_39,X_38))))) ),[1,1],$fot(join(X_39,X_38))]]) ).
cnf(refute_0_1537,plain,
( meet(X_39,join(Y,join(X_39,X_38))) != meet(X_39,meet(join(X_39,X_38),join(Y,join(X_39,X_38))))
| meet(X_39,join(Y,join(X_39,X_38))) = meet(X_39,join(X_39,X_38)) ),
inference(resolve,[$cnf( $equal(meet(join(X_39,X_38),join(Y,join(X_39,X_38))),join(X_39,X_38)) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
meet(X_39,join(Y,join(X_39,X_38))) = meet(X_39,join(X_39,X_38)),
inference(resolve,[$cnf( $equal(meet(X_39,join(Y,join(X_39,X_38))),meet(X_39,meet(join(X_39,X_38),join(Y,join(X_39,X_38))))) )],[refute_0_1534,refute_0_1537]) ).
cnf(refute_0_1539,plain,
meet(X_39,join(X_39,X_38)) = X_39,
inference(subst,[],[absorption1:[bind(X,$fot(X_39)),bind(Y,$fot(X_38))]]) ).
cnf(refute_0_1540,plain,
( meet(X_39,join(Y,join(X_39,X_38))) != meet(X_39,join(X_39,X_38))
| meet(X_39,join(X_39,X_38)) != X_39
| meet(X_39,join(Y,join(X_39,X_38))) = X_39 ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_39,join(Y,join(X_39,X_38))),X_39) ),[0],$fot(meet(X_39,join(X_39,X_38)))]]) ).
cnf(refute_0_1541,plain,
( meet(X_39,join(Y,join(X_39,X_38))) != meet(X_39,join(X_39,X_38))
| meet(X_39,join(Y,join(X_39,X_38))) = X_39 ),
inference(resolve,[$cnf( $equal(meet(X_39,join(X_39,X_38)),X_39) )],[refute_0_1539,refute_0_1540]) ).
cnf(refute_0_1542,plain,
meet(X_39,join(Y,join(X_39,X_38))) = X_39,
inference(resolve,[$cnf( $equal(meet(X_39,join(Y,join(X_39,X_38))),meet(X_39,join(X_39,X_38))) )],[refute_0_1538,refute_0_1541]) ).
cnf(refute_0_1543,plain,
meet(X,join(X_74,join(X,X_76))) = X,
inference(subst,[],[refute_0_1542:[bind(Y,$fot(X_74)),bind(X_38,$fot(X_76)),bind(X_39,$fot(X))]]) ).
cnf(refute_0_1544,plain,
join(meet(X,join(X_74,join(X,X_76))),Z) = join(meet(X,join(X_74,join(X,X_76))),Z),
introduced(tautology,[refl,[$fot(join(meet(X,join(X_74,join(X,X_76))),Z))]]) ).
cnf(refute_0_1545,plain,
( join(meet(X,join(X_74,join(X,X_76))),Z) != join(meet(X,join(X_74,join(X,X_76))),Z)
| meet(X,join(X_74,join(X,X_76))) != X
| join(meet(X,join(X_74,join(X,X_76))),Z) = join(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X,join(X_74,join(X,X_76))),Z),join(meet(X,join(X_74,join(X,X_76))),Z)) ),[1,0],$fot(X)]]) ).
cnf(refute_0_1546,plain,
( meet(X,join(X_74,join(X,X_76))) != X
| join(meet(X,join(X_74,join(X,X_76))),Z) = join(X,Z) ),
inference(resolve,[$cnf( $equal(join(meet(X,join(X_74,join(X,X_76))),Z),join(meet(X,join(X_74,join(X,X_76))),Z)) )],[refute_0_1544,refute_0_1545]) ).
cnf(refute_0_1547,plain,
join(meet(X,join(X_74,join(X,X_76))),Z) = join(X,Z),
inference(resolve,[$cnf( $equal(meet(X,join(X_74,join(X,X_76))),X) )],[refute_0_1543,refute_0_1546]) ).
cnf(refute_0_1548,plain,
meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)) = meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)),
introduced(tautology,[refl,[$fot(meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)))]]) ).
cnf(refute_0_1549,plain,
( join(meet(X,join(X_74,join(X,X_76))),Z) != join(X,Z)
| meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)) != meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))
| meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)) = meet(join(X_74,join(X,X_76)),join(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) ),[1,1],$fot(join(X,Z))]]) ).
cnf(refute_0_1550,plain,
( join(meet(X,join(X_74,join(X,X_76))),Z) != join(X,Z)
| meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)) = meet(join(X_74,join(X,X_76)),join(X,Z)) ),
inference(resolve,[$cnf( $equal(meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) )],[refute_0_1548,refute_0_1549]) ).
cnf(refute_0_1551,plain,
meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)) = meet(join(X_74,join(X,X_76)),join(X,Z)),
inference(resolve,[$cnf( $equal(join(meet(X,join(X_74,join(X,X_76))),Z),join(X,Z)) )],[refute_0_1547,refute_0_1550]) ).
cnf(refute_0_1552,plain,
join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) = join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))),
introduced(tautology,[refl,[$fot(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))))]]) ).
cnf(refute_0_1553,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) != join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)))
| meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)) != meet(join(X_74,join(X,X_76)),join(X,Z))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) = join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))),join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)))) ),[1,1],$fot(meet(join(X_74,join(X,X_76)),join(X,Z)))]]) ).
cnf(refute_0_1554,plain,
( meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)) != meet(join(X_74,join(X,X_76)),join(X,Z))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) = join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))),join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)))) )],[refute_0_1552,refute_0_1553]) ).
cnf(refute_0_1555,plain,
join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) = join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),
inference(resolve,[$cnf( $equal(meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z)),meet(join(X_74,join(X,X_76)),join(X,Z))) )],[refute_0_1551,refute_0_1554]) ).
cnf(refute_0_1556,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) != join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z)))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) != meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))),meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))) ),[0],$fot(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))))]]) ).
cnf(refute_0_1557,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) != meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))),join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z)))) )],[refute_0_1555,refute_0_1556]) ).
cnf(refute_0_1558,plain,
join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z)) = join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))),
inference(subst,[],[associativity_of_join:[bind(Y,$fot(X_76)),bind(Z,$fot(meet(join(X,join(X_74,X_76)),Z)))]]) ).
cnf(refute_0_1559,plain,
join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))) = join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))),
introduced(tautology,[refl,[$fot(join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))))]]) ).
cnf(refute_0_1560,plain,
( join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))) != join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z)))
| join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z)) != join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))
| join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))) = join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))),join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z)))) ),[1,1],$fot(join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))]]) ).
cnf(refute_0_1561,plain,
( join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z)) != join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))
| join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))) = join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))) ),
inference(resolve,[$cnf( $equal(join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))),join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z)))) )],[refute_0_1559,refute_0_1560]) ).
cnf(refute_0_1562,plain,
join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))) = join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))),
inference(resolve,[$cnf( $equal(join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z)),join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))) )],[refute_0_1558,refute_0_1561]) ).
cnf(refute_0_1563,plain,
join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)) = join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_74)),bind(Y,$fot(join(X,X_76))),bind(Z,$fot(meet(join(X,join(X_74,X_76)),Z)))]]) ).
cnf(refute_0_1564,plain,
( join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))) != join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))
| join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)) != join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z)))
| join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)) = join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))),bind(Y0,$fot(join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))))),bind(Z0,$fot(join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))))]]) ).
cnf(refute_0_1565,plain,
( join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))) != join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))
| join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)) = join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))) ),
inference(resolve,[$cnf( $equal(join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)),join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z)))) )],[refute_0_1563,refute_0_1564]) ).
cnf(refute_0_1566,plain,
join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)) = join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))),
inference(resolve,[$cnf( $equal(join(X_74,join(join(X,X_76),meet(join(X,join(X_74,X_76)),Z))),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) )],[refute_0_1562,refute_0_1565]) ).
cnf(refute_0_1567,plain,
meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))) = meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))),
introduced(tautology,[refl,[$fot(meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))))]]) ).
cnf(refute_0_1568,plain,
( join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)) != join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))
| meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))) != meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))
| meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))) = meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))),meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))) ),[1,1],$fot(join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))))]]) ).
cnf(refute_0_1569,plain,
( join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)) != join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))
| meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))) = meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) ),
inference(resolve,[$cnf( $equal(meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))),meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))) )],[refute_0_1567,refute_0_1568]) ).
cnf(refute_0_1570,plain,
meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))) = meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))),
inference(resolve,[$cnf( $equal(join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) )],[refute_0_1566,refute_0_1569]) ).
cnf(refute_0_1571,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) != meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))
| meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))) != meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))))) ),[0],$fot(meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))))]]) ).
cnf(refute_0_1572,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) != meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) ),
inference(resolve,[$cnf( $equal(meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z))),meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))))) )],[refute_0_1570,refute_0_1571]) ).
cnf(refute_0_1573,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))) != meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))) )],[refute_0_1557,refute_0_1572]) ).
cnf(refute_0_1574,plain,
join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(meet(X,join(X_74,join(X,X_76))),Z))),meet(join(Z,X),join(join(X_74,join(X,X_76)),meet(join(X,join(X_74,X_76)),Z)))) )],[refute_0_1533,refute_0_1573]) ).
cnf(refute_0_1575,plain,
join(X_108,join(join(X_26,X_27),meet(join(X_108,join(X_26,X_27)),X_107))) = join(X_108,join(X_26,X_27)),
inference(subst,[],[refute_0_89:[bind(Y,$fot(X_107)),bind(X_25,$fot(X_108)),bind(X_26,$fot(join(X_26,X_27)))]]) ).
cnf(refute_0_1576,plain,
join(X_26,join(X_108,X_27)) = join(X_108,join(X_26,X_27)),
inference(subst,[],[refute_0_374:[bind(X_25,$fot(X_108))]]) ).
cnf(refute_0_1577,plain,
( join(X_26,join(X_108,X_27)) != join(X_108,join(X_26,X_27))
| join(X_108,join(X_26,X_27)) = join(X_26,join(X_108,X_27)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_26,join(X_108,X_27)))),bind(Y0,$fot(join(X_108,join(X_26,X_27))))]]) ).
cnf(refute_0_1578,plain,
join(X_108,join(X_26,X_27)) = join(X_26,join(X_108,X_27)),
inference(resolve,[$cnf( $equal(join(X_26,join(X_108,X_27)),join(X_108,join(X_26,X_27))) )],[refute_0_1576,refute_0_1577]) ).
cnf(refute_0_1579,plain,
( join(X_108,join(X_26,X_27)) != join(X_26,join(X_108,X_27))
| join(X_108,join(join(X_26,X_27),meet(join(X_108,join(X_26,X_27)),X_107))) != join(X_108,join(X_26,X_27))
| join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) = join(X_108,join(X_26,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_108,join(join(X_26,X_27),meet(join(X_108,join(X_26,X_27)),X_107))),join(X_108,join(X_26,X_27))) ),[0,1,1,0],$fot(join(X_26,join(X_108,X_27)))]]) ).
cnf(refute_0_1580,plain,
( join(X_108,join(join(X_26,X_27),meet(join(X_108,join(X_26,X_27)),X_107))) != join(X_108,join(X_26,X_27))
| join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) = join(X_108,join(X_26,X_27)) ),
inference(resolve,[$cnf( $equal(join(X_108,join(X_26,X_27)),join(X_26,join(X_108,X_27))) )],[refute_0_1578,refute_0_1579]) ).
cnf(refute_0_1581,plain,
join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) = join(X_108,join(X_26,X_27)),
inference(resolve,[$cnf( $equal(join(X_108,join(join(X_26,X_27),meet(join(X_108,join(X_26,X_27)),X_107))),join(X_108,join(X_26,X_27))) )],[refute_0_1575,refute_0_1580]) ).
cnf(refute_0_1582,plain,
join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107)) = join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_26)),bind(Y,$fot(X_27)),bind(Z,$fot(meet(join(X_26,join(X_108,X_27)),X_107)))]]) ).
cnf(refute_0_1583,plain,
join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) = join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))),
introduced(tautology,[refl,[$fot(join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))))]]) ).
cnf(refute_0_1584,plain,
( join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) != join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107)))
| join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107)) != join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107)))
| join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) = join(X_108,join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))),join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107)))) ),[1,1],$fot(join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107))))]]) ).
cnf(refute_0_1585,plain,
( join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107)) != join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107)))
| join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) = join(X_108,join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107)))) ),
inference(resolve,[$cnf( $equal(join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))),join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107)))) )],[refute_0_1583,refute_0_1584]) ).
cnf(refute_0_1586,plain,
join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) = join(X_108,join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107)))),
inference(resolve,[$cnf( $equal(join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107)),join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107)))) )],[refute_0_1582,refute_0_1585]) ).
cnf(refute_0_1587,plain,
( join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) != join(X_108,join(X_26,X_27))
| join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) != join(X_108,join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107))))
| join(X_108,join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107)))) = join(X_108,join(X_26,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))),join(X_108,join(X_26,X_27))) ),[0],$fot(join(X_108,join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107)))))]]) ).
cnf(refute_0_1588,plain,
( join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))) != join(X_108,join(X_26,X_27))
| join(X_108,join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107)))) = join(X_108,join(X_26,X_27)) ),
inference(resolve,[$cnf( $equal(join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))),join(X_108,join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107))))) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
join(X_108,join(X_26,join(X_27,meet(join(X_26,join(X_108,X_27)),X_107)))) = join(X_108,join(X_26,X_27)),
inference(resolve,[$cnf( $equal(join(X_108,join(join(X_26,X_27),meet(join(X_26,join(X_108,X_27)),X_107))),join(X_108,join(X_26,X_27))) )],[refute_0_1581,refute_0_1588]) ).
cnf(refute_0_1590,plain,
join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))) = join(X_74,join(X,X_76)),
inference(subst,[],[refute_0_1589:[bind(X_107,$fot(Z)),bind(X_108,$fot(X_74)),bind(X_26,$fot(X)),bind(X_27,$fot(X_76))]]) ).
cnf(refute_0_1591,plain,
meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) = meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))),
introduced(tautology,[refl,[$fot(meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))))]]) ).
cnf(refute_0_1592,plain,
( join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))) != join(X_74,join(X,X_76))
| meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) != meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))))
| meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) = meet(join(Z,X),join(X_74,join(X,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))),meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))))) ),[1,1],$fot(join(X_74,join(X,X_76)))]]) ).
cnf(refute_0_1593,plain,
( join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))) != join(X_74,join(X,X_76))
| meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) = meet(join(Z,X),join(X_74,join(X,X_76))) ),
inference(resolve,[$cnf( $equal(meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))),meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))))) )],[refute_0_1591,refute_0_1592]) ).
cnf(refute_0_1594,plain,
meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) = meet(join(Z,X),join(X_74,join(X,X_76))),
inference(resolve,[$cnf( $equal(join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))),join(X_74,join(X,X_76))) )],[refute_0_1590,refute_0_1593]) ).
cnf(refute_0_1595,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) != meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))))
| meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))) != meet(join(Z,X),join(X_74,join(X,X_76)))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = meet(join(Z,X),join(X_74,join(X,X_76))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),meet(join(Z,X),join(X_74,join(X,X_76)))) ),[0],$fot(meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))))]]) ).
cnf(refute_0_1596,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) != meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = meet(join(Z,X),join(X_74,join(X,X_76))) ),
inference(resolve,[$cnf( $equal(meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z))))),meet(join(Z,X),join(X_74,join(X,X_76)))) )],[refute_0_1594,refute_0_1595]) ).
cnf(refute_0_1597,plain,
join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = meet(join(Z,X),join(X_74,join(X,X_76))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),meet(join(Z,X),join(X_74,join(X,join(X_76,meet(join(X,join(X_74,X_76)),Z)))))) )],[refute_0_1574,refute_0_1596]) ).
cnf(refute_0_1598,plain,
join(X,join(meet(X,Z),meet(join(X_74,join(X,X_76)),Z))) = join(X,meet(join(X_74,join(X,X_76)),Z)),
inference(subst,[],[refute_0_977:[bind(Y,$fot(Z)),bind(X_25,$fot(X)),bind(X_27,$fot(meet(join(X_74,join(X,X_76)),Z)))]]) ).
cnf(refute_0_1599,plain,
join(X_25,join(meet(X_146,X_148),X_27)) = join(X_25,join(X_27,meet(X_146,X_148))),
inference(subst,[],[refute_0_621:[bind(X_26,$fot(meet(X_146,X_148)))]]) ).
cnf(refute_0_1600,plain,
join(X_27,meet(X_146,X_148)) = join(X_27,meet(X_148,X_146)),
inference(subst,[],[refute_0_560:[bind(X_18,$fot(X_146)),bind(X_63,$fot(X_27)),bind(X_7,$fot(X_148))]]) ).
cnf(refute_0_1601,plain,
( join(X_25,join(meet(X_146,X_148),X_27)) != join(X_25,join(X_27,meet(X_146,X_148)))
| join(X_27,meet(X_146,X_148)) != join(X_27,meet(X_148,X_146))
| join(X_25,join(meet(X_146,X_148),X_27)) = join(X_25,join(X_27,meet(X_148,X_146))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(meet(X_146,X_148),X_27)),join(X_25,join(X_27,meet(X_146,X_148)))) ),[1,1],$fot(join(X_27,meet(X_148,X_146)))]]) ).
cnf(refute_0_1602,plain,
( join(X_25,join(meet(X_146,X_148),X_27)) != join(X_25,join(X_27,meet(X_146,X_148)))
| join(X_25,join(meet(X_146,X_148),X_27)) = join(X_25,join(X_27,meet(X_148,X_146))) ),
inference(resolve,[$cnf( $equal(join(X_27,meet(X_146,X_148)),join(X_27,meet(X_148,X_146))) )],[refute_0_1600,refute_0_1601]) ).
cnf(refute_0_1603,plain,
join(X_25,join(meet(X_146,X_148),X_27)) = join(X_25,join(X_27,meet(X_148,X_146))),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_146,X_148),X_27)),join(X_25,join(X_27,meet(X_146,X_148)))) )],[refute_0_1599,refute_0_1602]) ).
cnf(refute_0_1604,plain,
( join(X_25,join(meet(X_146,X_148),X_27)) != join(X_25,join(X_27,meet(X_148,X_146)))
| join(X_25,join(X_27,meet(X_148,X_146))) = join(X_25,join(meet(X_146,X_148),X_27)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_25,join(meet(X_146,X_148),X_27)))),bind(Y0,$fot(join(X_25,join(X_27,meet(X_148,X_146)))))]]) ).
cnf(refute_0_1605,plain,
join(X_25,join(X_27,meet(X_148,X_146))) = join(X_25,join(meet(X_146,X_148),X_27)),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(X_146,X_148),X_27)),join(X_25,join(X_27,meet(X_148,X_146)))) )],[refute_0_1603,refute_0_1604]) ).
cnf(refute_0_1606,plain,
join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))) = join(X,join(meet(X,Z),meet(join(X_74,join(X,X_76)),Z))),
inference(subst,[],[refute_0_1605:[bind(X_146,$fot(X)),bind(X_148,$fot(Z)),bind(X_25,$fot(X)),bind(X_27,$fot(meet(join(X_74,join(X,X_76)),Z)))]]) ).
cnf(refute_0_1607,plain,
( join(X,join(meet(X,Z),meet(join(X_74,join(X,X_76)),Z))) != join(X,meet(join(X_74,join(X,X_76)),Z))
| join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))) != join(X,join(meet(X,Z),meet(join(X_74,join(X,X_76)),Z)))
| join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))) = join(X,meet(join(X_74,join(X,X_76)),Z)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))))),bind(Y0,$fot(join(X,join(meet(X,Z),meet(join(X_74,join(X,X_76)),Z))))),bind(Z0,$fot(join(X,meet(join(X_74,join(X,X_76)),Z))))]]) ).
cnf(refute_0_1608,plain,
( join(X,join(meet(X,Z),meet(join(X_74,join(X,X_76)),Z))) != join(X,meet(join(X_74,join(X,X_76)),Z))
| join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))) = join(X,meet(join(X_74,join(X,X_76)),Z)) ),
inference(resolve,[$cnf( $equal(join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))),join(X,join(meet(X,Z),meet(join(X_74,join(X,X_76)),Z)))) )],[refute_0_1606,refute_0_1607]) ).
cnf(refute_0_1609,plain,
join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))) = join(X,meet(join(X_74,join(X,X_76)),Z)),
inference(resolve,[$cnf( $equal(join(X,join(meet(X,Z),meet(join(X_74,join(X,X_76)),Z))),join(X,meet(join(X_74,join(X,X_76)),Z))) )],[refute_0_1598,refute_0_1608]) ).
cnf(refute_0_1610,plain,
join(X,join(X_25,meet(X_146,X_148))) = join(X_25,join(meet(X_146,X_148),X)),
inference(subst,[],[refute_0_342:[bind(X_26,$fot(meet(X_146,X_148)))]]) ).
cnf(refute_0_1611,plain,
join(X_25,meet(X_146,X_148)) = join(X_25,meet(X_148,X_146)),
inference(subst,[],[refute_0_560:[bind(X_18,$fot(X_146)),bind(X_63,$fot(X_25)),bind(X_7,$fot(X_148))]]) ).
cnf(refute_0_1612,plain,
( join(X,join(X_25,meet(X_146,X_148))) != join(X_25,join(meet(X_146,X_148),X))
| join(X_25,meet(X_146,X_148)) != join(X_25,meet(X_148,X_146))
| join(X,join(X_25,meet(X_148,X_146))) = join(X_25,join(meet(X_146,X_148),X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X,join(X_25,meet(X_146,X_148))),join(X_25,join(meet(X_146,X_148),X))) ),[0,1],$fot(join(X_25,meet(X_148,X_146)))]]) ).
cnf(refute_0_1613,plain,
( join(X,join(X_25,meet(X_146,X_148))) != join(X_25,join(meet(X_146,X_148),X))
| join(X,join(X_25,meet(X_148,X_146))) = join(X_25,join(meet(X_146,X_148),X)) ),
inference(resolve,[$cnf( $equal(join(X_25,meet(X_146,X_148)),join(X_25,meet(X_148,X_146))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
join(X,join(X_25,meet(X_148,X_146))) = join(X_25,join(meet(X_146,X_148),X)),
inference(resolve,[$cnf( $equal(join(X,join(X_25,meet(X_146,X_148))),join(X_25,join(meet(X_146,X_148),X))) )],[refute_0_1610,refute_0_1613]) ).
cnf(refute_0_1615,plain,
join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))) = join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))),
inference(subst,[],[refute_0_1614:[bind(X,$fot(meet(Z,X))),bind(X_146,$fot(join(X_74,join(X,X_76)))),bind(X_148,$fot(Z)),bind(X_25,$fot(X))]]) ).
cnf(refute_0_1616,plain,
( join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))) != join(X,meet(join(X_74,join(X,X_76)),Z))
| join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))) != join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X)))
| join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))) = join(X,meet(join(X_74,join(X,X_76)),Z)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))))),bind(Y0,$fot(join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))))),bind(Z0,$fot(join(X,meet(join(X_74,join(X,X_76)),Z))))]]) ).
cnf(refute_0_1617,plain,
( join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))) != join(X,meet(join(X_74,join(X,X_76)),Z))
| join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))) = join(X,meet(join(X_74,join(X,X_76)),Z)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))),join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X)))) )],[refute_0_1615,refute_0_1616]) ).
cnf(refute_0_1618,plain,
join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))) = join(X,meet(join(X_74,join(X,X_76)),Z)),
inference(resolve,[$cnf( $equal(join(X,join(meet(join(X_74,join(X,X_76)),Z),meet(Z,X))),join(X,meet(join(X_74,join(X,X_76)),Z))) )],[refute_0_1609,refute_0_1617]) ).
cnf(refute_0_1619,plain,
join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(meet(X_160,join(Y,join(X_160,X_38))),X_158)))),
inference(subst,[],[refute_0_289:[bind(X_36,$fot(X_158)),bind(X_37,$fot(join(Y,join(X_160,X_38)))),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_1620,plain,
meet(X_160,join(Y,join(X_160,X_38))) = X_160,
inference(subst,[],[refute_0_1542:[bind(X_39,$fot(X_160))]]) ).
cnf(refute_0_1621,plain,
( join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) != meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(meet(X_160,join(Y,join(X_160,X_38))),X_158))))
| meet(X_160,join(Y,join(X_160,X_38))) != X_160
| join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))),meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(meet(X_160,join(Y,join(X_160,X_38))),X_158))))) ),[1,1,1,1,0],$fot(X_160)]]) ).
cnf(refute_0_1622,plain,
( join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) != meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(meet(X_160,join(Y,join(X_160,X_38))),X_158))))
| join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) ),
inference(resolve,[$cnf( $equal(meet(X_160,join(Y,join(X_160,X_38))),X_160) )],[refute_0_1620,refute_0_1621]) ).
cnf(refute_0_1623,plain,
join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))),
inference(resolve,[$cnf( $equal(join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))),meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(meet(X_160,join(Y,join(X_160,X_38))),X_158))))) )],[refute_0_1619,refute_0_1622]) ).
cnf(refute_0_1624,plain,
join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))) = join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))),
introduced(tautology,[refl,[$fot(join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))))]]) ).
cnf(refute_0_1625,plain,
( join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))) != join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38))))
| meet(X_160,join(Y,join(X_160,X_38))) != X_160
| join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))) = join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))),join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38))))) ),[1,0],$fot(X_160)]]) ).
cnf(refute_0_1626,plain,
( meet(X_160,join(Y,join(X_160,X_38))) != X_160
| join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))) = join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))),join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38))))) )],[refute_0_1624,refute_0_1625]) ).
cnf(refute_0_1627,plain,
join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))) = join(X_160,meet(X_158,join(Y,join(X_160,X_38)))),
inference(resolve,[$cnf( $equal(meet(X_160,join(Y,join(X_160,X_38))),X_160) )],[refute_0_1620,refute_0_1626]) ).
cnf(refute_0_1628,plain,
join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) = join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))),
inference(subst,[],[refute_0_313:[bind(X_159,$fot(join(Y,join(X_160,X_38))))]]) ).
cnf(refute_0_1629,plain,
( join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))) != join(X_160,meet(X_158,join(Y,join(X_160,X_38))))
| join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) != join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38))))
| join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) = join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))))),bind(Y0,$fot(join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))))),bind(Z0,$fot(join(X_160,meet(X_158,join(Y,join(X_160,X_38))))))]]) ).
cnf(refute_0_1630,plain,
( join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))) != join(X_160,meet(X_158,join(Y,join(X_160,X_38))))
| join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) = join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))),join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38))))) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) = join(X_160,meet(X_158,join(Y,join(X_160,X_38)))),
inference(resolve,[$cnf( $equal(join(meet(X_160,join(Y,join(X_160,X_38))),meet(X_158,join(Y,join(X_160,X_38)))),join(X_160,meet(X_158,join(Y,join(X_160,X_38))))) )],[refute_0_1627,refute_0_1630]) ).
cnf(refute_0_1632,plain,
( join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) != join(X_160,meet(X_158,join(Y,join(X_160,X_38))))
| join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) != meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))
| join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))),meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))) ),[0],$fot(join(X_160,meet(X_158,join(Y,join(X_160,X_38)))))]]) ).
cnf(refute_0_1633,plain,
( join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))) != meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))
| join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))),join(X_160,meet(X_158,join(Y,join(X_160,X_38))))) )],[refute_0_1631,refute_0_1632]) ).
cnf(refute_0_1634,plain,
join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))),
inference(resolve,[$cnf( $equal(join(meet(join(Y,join(X_160,X_38)),X_160),meet(X_158,join(Y,join(X_160,X_38)))),meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))) )],[refute_0_1623,refute_0_1633]) ).
cnf(refute_0_1635,plain,
join(meet(join(Y,join(X_160,X_38)),X_158),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))) = meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),
inference(subst,[],[refute_0_1078:[bind(Y,$fot(X_160)),bind(X_89,$fot(join(Y,join(X_160,X_38)))),bind(X_90,$fot(X_158))]]) ).
cnf(refute_0_1636,plain,
join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))) = join(meet(join(Y,join(X_160,X_38)),X_158),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))),
inference(subst,[],[refute_0_1458:[bind(Y,$fot(X_158)),bind(X_160,$fot(join(X_160,X_158))),bind(X_42,$fot(join(Y,join(X_160,X_38))))]]) ).
cnf(refute_0_1637,plain,
( join(meet(join(Y,join(X_160,X_38)),X_158),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))) != meet(join(Y,join(X_160,X_38)),join(X_160,X_158))
| join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))) != join(meet(join(Y,join(X_160,X_38)),X_158),meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))
| join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_160,X_158)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))))),bind(Y0,$fot(join(meet(join(Y,join(X_160,X_38)),X_158),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))),bind(Z0,$fot(meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))]]) ).
cnf(refute_0_1638,plain,
( join(meet(join(Y,join(X_160,X_38)),X_158),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))) != meet(join(Y,join(X_160,X_38)),join(X_160,X_158))
| join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_160,X_158)) ),
inference(resolve,[$cnf( $equal(join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))),join(meet(join(Y,join(X_160,X_38)),X_158),meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),
inference(resolve,[$cnf( $equal(join(meet(join(Y,join(X_160,X_38)),X_158),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))) )],[refute_0_1635,refute_0_1638]) ).
cnf(refute_0_1640,plain,
meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) = join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))),
inference(subst,[],[refute_0_1048:[bind(X_160,$fot(join(X_160,X_158))),bind(X_22,$fot(join(Y,join(X_160,X_38))))]]) ).
cnf(refute_0_1641,plain,
( join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))) != meet(join(Y,join(X_160,X_38)),join(X_160,X_158))
| meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) != join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38))))
| meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) = meet(join(Y,join(X_160,X_38)),join(X_160,X_158)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))))),bind(Y0,$fot(join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))))),bind(Z0,$fot(meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))]]) ).
cnf(refute_0_1642,plain,
( join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))) != meet(join(Y,join(X_160,X_38)),join(X_160,X_158))
| meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) = meet(join(Y,join(X_160,X_38)),join(X_160,X_158)) ),
inference(resolve,[$cnf( $equal(meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))),join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38))))) )],[refute_0_1640,refute_0_1641]) ).
cnf(refute_0_1643,plain,
meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) = meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),
inference(resolve,[$cnf( $equal(join(meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),meet(X_158,join(Y,join(X_160,X_38)))),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))) )],[refute_0_1639,refute_0_1642]) ).
cnf(refute_0_1644,plain,
( join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) != meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))
| meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))) != meet(join(Y,join(X_160,X_38)),join(X_160,X_158))
| join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_160,X_158)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_160,meet(X_158,join(Y,join(X_160,X_38)))),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))) ),[0],$fot(meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))))]]) ).
cnf(refute_0_1645,plain,
( join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) != meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))
| join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_160,X_158)) ),
inference(resolve,[$cnf( $equal(meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158)))),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) = meet(join(Y,join(X_160,X_38)),join(X_160,X_158)),
inference(resolve,[$cnf( $equal(join(X_160,meet(X_158,join(Y,join(X_160,X_38)))),meet(join(Y,join(X_160,X_38)),join(X_158,meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))) )],[refute_0_1634,refute_0_1645]) ).
cnf(refute_0_1647,plain,
( join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) != meet(join(Y,join(X_160,X_38)),join(X_160,X_158))
| meet(join(Y,join(X_160,X_38)),join(X_160,X_158)) = join(X_160,meet(X_158,join(Y,join(X_160,X_38)))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_160,meet(X_158,join(Y,join(X_160,X_38)))))),bind(Y0,$fot(meet(join(Y,join(X_160,X_38)),join(X_160,X_158))))]]) ).
cnf(refute_0_1648,plain,
meet(join(Y,join(X_160,X_38)),join(X_160,X_158)) = join(X_160,meet(X_158,join(Y,join(X_160,X_38)))),
inference(resolve,[$cnf( $equal(join(X_160,meet(X_158,join(Y,join(X_160,X_38)))),meet(join(Y,join(X_160,X_38)),join(X_160,X_158))) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
meet(join(X_74,join(X,X_76)),join(X,Z)) = join(X,meet(Z,join(X_74,join(X,X_76)))),
inference(subst,[],[refute_0_1648:[bind(Y,$fot(X_74)),bind(X_158,$fot(Z)),bind(X_160,$fot(X)),bind(X_38,$fot(X_76))]]) ).
cnf(refute_0_1650,plain,
join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),
introduced(tautology,[refl,[$fot(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))))]]) ).
cnf(refute_0_1651,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) != join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z)))
| meet(join(X_74,join(X,X_76)),join(X,Z)) != join(X,meet(Z,join(X_74,join(X,X_76))))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z)))) ),[1,1],$fot(join(X,meet(Z,join(X_74,join(X,X_76)))))]]) ).
cnf(refute_0_1652,plain,
( meet(join(X_74,join(X,X_76)),join(X,Z)) != join(X,meet(Z,join(X_74,join(X,X_76))))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z)))) )],[refute_0_1650,refute_0_1651]) ).
cnf(refute_0_1653,plain,
join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))),
inference(resolve,[$cnf( $equal(meet(join(X_74,join(X,X_76)),join(X,Z)),join(X,meet(Z,join(X_74,join(X,X_76))))) )],[refute_0_1649,refute_0_1652]) ).
cnf(refute_0_1654,plain,
( join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))) != join(X,meet(join(X_74,join(X,X_76)),Z))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) != join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76)))))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = join(X,meet(join(X_74,join(X,X_76)),Z)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))))),bind(Y0,$fot(join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))))),bind(Z0,$fot(join(X,meet(join(X_74,join(X,X_76)),Z))))]]) ).
cnf(refute_0_1655,plain,
( join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))) != join(X,meet(join(X_74,join(X,X_76)),Z))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = join(X,meet(join(X_74,join(X,X_76)),Z)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76)))))) )],[refute_0_1653,refute_0_1654]) ).
cnf(refute_0_1656,plain,
join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) = join(X,meet(join(X_74,join(X,X_76)),Z)),
inference(resolve,[$cnf( $equal(join(meet(Z,X),join(X,meet(Z,join(X_74,join(X,X_76))))),join(X,meet(join(X_74,join(X,X_76)),Z))) )],[refute_0_1618,refute_0_1655]) ).
cnf(refute_0_1657,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) != join(X,meet(join(X_74,join(X,X_76)),Z))
| join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) != meet(join(Z,X),join(X_74,join(X,X_76)))
| join(X,meet(join(X_74,join(X,X_76)),Z)) = meet(join(Z,X),join(X_74,join(X,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),meet(join(Z,X),join(X_74,join(X,X_76)))) ),[0],$fot(join(X,meet(join(X_74,join(X,X_76)),Z)))]]) ).
cnf(refute_0_1658,plain,
( join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))) != meet(join(Z,X),join(X_74,join(X,X_76)))
| join(X,meet(join(X_74,join(X,X_76)),Z)) = meet(join(Z,X),join(X_74,join(X,X_76))) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),join(X,meet(join(X_74,join(X,X_76)),Z))) )],[refute_0_1656,refute_0_1657]) ).
cnf(refute_0_1659,plain,
join(X,meet(join(X_74,join(X,X_76)),Z)) = meet(join(Z,X),join(X_74,join(X,X_76))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X_74,join(X,X_76)),join(X,Z))),meet(join(Z,X),join(X_74,join(X,X_76)))) )],[refute_0_1597,refute_0_1658]) ).
cnf(refute_0_1660,plain,
( join(X,meet(join(X_74,join(X,X_76)),Z)) != meet(join(Z,X),join(X_74,join(X,X_76)))
| meet(join(Z,X),join(X_74,join(X,X_76))) = join(X,meet(join(X_74,join(X,X_76)),Z)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X,meet(join(X_74,join(X,X_76)),Z)))),bind(Y0,$fot(meet(join(Z,X),join(X_74,join(X,X_76)))))]]) ).
cnf(refute_0_1661,plain,
meet(join(Z,X),join(X_74,join(X,X_76))) = join(X,meet(join(X_74,join(X,X_76)),Z)),
inference(resolve,[$cnf( $equal(join(X,meet(join(X_74,join(X,X_76)),Z)),meet(join(Z,X),join(X_74,join(X,X_76)))) )],[refute_0_1659,refute_0_1660]) ).
cnf(refute_0_1662,plain,
meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) = join(X,meet(join(X_45,join(X,Y)),meet(Y,X_156))),
inference(subst,[],[refute_0_1661:[bind(Z,$fot(meet(Y,X_156))),bind(X_74,$fot(X_45)),bind(X_76,$fot(Y))]]) ).
cnf(refute_0_1663,plain,
( join(X,meet(join(X_45,join(X,Y)),meet(Y,X_156))) != join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156)))
| meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) != join(X,meet(join(X_45,join(X,Y)),meet(Y,X_156)))
| meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) = join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))))),bind(Y0,$fot(join(X,meet(join(X_45,join(X,Y)),meet(Y,X_156))))),bind(Z0,$fot(join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156)))))]]) ).
cnf(refute_0_1664,plain,
( join(X,meet(join(X_45,join(X,Y)),meet(Y,X_156))) != join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156)))
| meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) = join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))),join(X,meet(join(X_45,join(X,Y)),meet(Y,X_156)))) )],[refute_0_1662,refute_0_1663]) ).
cnf(refute_0_1665,plain,
meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) = join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))),
inference(resolve,[$cnf( $equal(join(X,meet(join(X_45,join(X,Y)),meet(Y,X_156))),join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156)))) )],[refute_0_1526,refute_0_1664]) ).
cnf(refute_0_1666,plain,
( join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))) != join(X,meet(Y,X_156))
| meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) != join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156)))
| meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) = join(X,meet(Y,X_156)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))))),bind(Y0,$fot(join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))))),bind(Z0,$fot(join(X,meet(Y,X_156))))]]) ).
cnf(refute_0_1667,plain,
( join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))) != join(X,meet(Y,X_156))
| meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) = join(X,meet(Y,X_156)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))),join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156)))) )],[refute_0_1665,refute_0_1666]) ).
cnf(refute_0_1668,plain,
meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) = join(X,meet(Y,X_156)),
inference(resolve,[$cnf( $equal(join(X,meet(Y,meet(join(X_45,join(X,Y)),X_156))),join(X,meet(Y,X_156))) )],[refute_0_1508,refute_0_1667]) ).
cnf(refute_0_1669,plain,
meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) = meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))),
introduced(tautology,[refl,[$fot(meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))))]]) ).
cnf(refute_0_1670,plain,
( meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) != meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))))
| meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) != join(X,meet(Y,X_156))
| meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) = meet(X_156,join(X,meet(Y,X_156))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))),meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))))) ),[1,1],$fot(join(X,meet(Y,X_156)))]]) ).
cnf(refute_0_1671,plain,
( meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))) != join(X,meet(Y,X_156))
| meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) = meet(X_156,join(X,meet(Y,X_156))) ),
inference(resolve,[$cnf( $equal(meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))),meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))))) )],[refute_0_1669,refute_0_1670]) ).
cnf(refute_0_1672,plain,
meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) = meet(X_156,join(X,meet(Y,X_156))),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,X_156),X),join(X_45,join(X,Y))),join(X,meet(Y,X_156))) )],[refute_0_1668,refute_0_1671]) ).
cnf(refute_0_1673,plain,
( meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) != join(meet(X_156,Y),meet(X,X_156))
| meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) != meet(X_156,join(X,meet(Y,X_156)))
| meet(X_156,join(X,meet(Y,X_156))) = join(meet(X_156,Y),meet(X,X_156)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))),join(meet(X_156,Y),meet(X,X_156))) ),[0],$fot(meet(X_156,join(X,meet(Y,X_156))))]]) ).
cnf(refute_0_1674,plain,
( meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))) != join(meet(X_156,Y),meet(X,X_156))
| meet(X_156,join(X,meet(Y,X_156))) = join(meet(X_156,Y),meet(X,X_156)) ),
inference(resolve,[$cnf( $equal(meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))),meet(X_156,join(X,meet(Y,X_156)))) )],[refute_0_1672,refute_0_1673]) ).
cnf(refute_0_1675,plain,
meet(X_156,join(X,meet(Y,X_156))) = join(meet(X_156,Y),meet(X,X_156)),
inference(resolve,[$cnf( $equal(meet(X_156,meet(join(meet(Y,X_156),X),join(X_45,join(X,Y)))),join(meet(X_156,Y),meet(X,X_156))) )],[refute_0_1496,refute_0_1674]) ).
cnf(refute_0_1676,plain,
meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = join(meet(X_39,join(X_38,Y)),meet(Y,X_39)),
inference(subst,[],[refute_0_1675:[bind(X,$fot(Y)),bind(Y,$fot(join(X_38,Y))),bind(X_156,$fot(X_39))]]) ).
cnf(refute_0_1677,plain,
( join(meet(X_39,join(X_38,Y)),meet(Y,X_39)) != meet(X_39,join(X_38,Y))
| meet(X_39,join(Y,meet(join(X_38,Y),X_39))) != join(meet(X_39,join(X_38,Y)),meet(Y,X_39))
| meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = meet(X_39,join(X_38,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_39,join(Y,meet(join(X_38,Y),X_39))))),bind(Y0,$fot(join(meet(X_39,join(X_38,Y)),meet(Y,X_39)))),bind(Z0,$fot(meet(X_39,join(X_38,Y))))]]) ).
cnf(refute_0_1678,plain,
( join(meet(X_39,join(X_38,Y)),meet(Y,X_39)) != meet(X_39,join(X_38,Y))
| meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = meet(X_39,join(X_38,Y)) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(Y,meet(join(X_38,Y),X_39))),join(meet(X_39,join(X_38,Y)),meet(Y,X_39))) )],[refute_0_1676,refute_0_1677]) ).
cnf(refute_0_1679,plain,
meet(X_39,join(Y,meet(join(X_38,Y),X_39))) = meet(X_39,join(X_38,Y)),
inference(resolve,[$cnf( $equal(join(meet(X_39,join(X_38,Y)),meet(Y,X_39)),meet(X_39,join(X_38,Y))) )],[refute_0_1462,refute_0_1678]) ).
cnf(refute_0_1680,plain,
( meet(X_39,join(Y,meet(join(X_38,Y),X_39))) != join(meet(X_39,X_38),meet(Y,X_39))
| meet(X_39,join(Y,meet(join(X_38,Y),X_39))) != meet(X_39,join(X_38,Y))
| meet(X_39,join(X_38,Y)) = join(meet(X_39,X_38),meet(Y,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(Y,meet(join(X_38,Y),X_39))),join(meet(X_39,X_38),meet(Y,X_39))) ),[0],$fot(meet(X_39,join(X_38,Y)))]]) ).
cnf(refute_0_1681,plain,
( meet(X_39,join(Y,meet(join(X_38,Y),X_39))) != join(meet(X_39,X_38),meet(Y,X_39))
| meet(X_39,join(X_38,Y)) = join(meet(X_39,X_38),meet(Y,X_39)) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(Y,meet(join(X_38,Y),X_39))),meet(X_39,join(X_38,Y))) )],[refute_0_1679,refute_0_1680]) ).
cnf(refute_0_1682,plain,
meet(X_39,join(X_38,Y)) = join(meet(X_39,X_38),meet(Y,X_39)),
inference(resolve,[$cnf( $equal(meet(X_39,join(Y,meet(join(X_38,Y),X_39))),join(meet(X_39,X_38),meet(Y,X_39))) )],[refute_0_1067,refute_0_1681]) ).
cnf(refute_0_1683,plain,
( meet(X_39,join(X_38,Y)) != join(meet(X_39,X_38),meet(Y,X_39))
| join(meet(X_39,X_38),meet(Y,X_39)) = meet(X_39,join(X_38,Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_39,join(X_38,Y)))),bind(Y0,$fot(join(meet(X_39,X_38),meet(Y,X_39))))]]) ).
cnf(refute_0_1684,plain,
join(meet(X_39,X_38),meet(Y,X_39)) = meet(X_39,join(X_38,Y)),
inference(resolve,[$cnf( $equal(meet(X_39,join(X_38,Y)),join(meet(X_39,X_38),meet(Y,X_39))) )],[refute_0_1682,refute_0_1683]) ).
cnf(refute_0_1685,plain,
join(meet(Z,X),meet(join(X,X_71),Z)) = meet(Z,join(X,join(X,X_71))),
inference(subst,[],[refute_0_1684:[bind(Y,$fot(join(X,X_71))),bind(X_38,$fot(X)),bind(X_39,$fot(Z))]]) ).
cnf(refute_0_1686,plain,
( join(meet(Z,X),meet(join(X,X_71),Z)) != meet(Z,join(X,join(X,X_71)))
| meet(Z,join(X,join(X,X_71))) != meet(Z,join(X,X_71))
| join(meet(Z,X),meet(join(X,X_71),Z)) = meet(Z,join(X,X_71)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(Z,X),meet(join(X,X_71),Z)))),bind(Y0,$fot(meet(Z,join(X,join(X,X_71))))),bind(Z0,$fot(meet(Z,join(X,X_71))))]]) ).
cnf(refute_0_1687,plain,
( meet(Z,join(X,join(X,X_71))) != meet(Z,join(X,X_71))
| join(meet(Z,X),meet(join(X,X_71),Z)) = meet(Z,join(X,X_71)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X,X_71),Z)),meet(Z,join(X,join(X,X_71)))) )],[refute_0_1685,refute_0_1686]) ).
cnf(refute_0_1688,plain,
join(meet(Z,X),meet(join(X,X_71),Z)) = meet(Z,join(X,X_71)),
inference(resolve,[$cnf( $equal(meet(Z,join(X,join(X,X_71))),meet(Z,join(X,X_71))) )],[refute_0_397,refute_0_1687]) ).
cnf(refute_0_1689,plain,
join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) = join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))),
introduced(tautology,[refl,[$fot(join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))))]]) ).
cnf(refute_0_1690,plain,
( join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) != join(X_71,join(meet(Z,X),meet(join(X,X_71),Z)))
| join(meet(Z,X),meet(join(X,X_71),Z)) != meet(Z,join(X,X_71))
| join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) = join(X_71,meet(Z,join(X,X_71))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))),join(X_71,join(meet(Z,X),meet(join(X,X_71),Z)))) ),[1,1],$fot(meet(Z,join(X,X_71)))]]) ).
cnf(refute_0_1691,plain,
( join(meet(Z,X),meet(join(X,X_71),Z)) != meet(Z,join(X,X_71))
| join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) = join(X_71,meet(Z,join(X,X_71))) ),
inference(resolve,[$cnf( $equal(join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))),join(X_71,join(meet(Z,X),meet(join(X,X_71),Z)))) )],[refute_0_1689,refute_0_1690]) ).
cnf(refute_0_1692,plain,
join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) = join(X_71,meet(Z,join(X,X_71))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(join(X,X_71),Z)),meet(Z,join(X,X_71))) )],[refute_0_1688,refute_0_1691]) ).
cnf(refute_0_1693,plain,
( join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) != join(X_71,meet(Z,join(X,X_71)))
| join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) != join(X_71,meet(join(X,X_71),Z))
| join(X_71,meet(Z,join(X,X_71))) = join(X_71,meet(join(X,X_71),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))),join(X_71,meet(join(X,X_71),Z))) ),[0],$fot(join(X_71,meet(Z,join(X,X_71))))]]) ).
cnf(refute_0_1694,plain,
( join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))) != join(X_71,meet(join(X,X_71),Z))
| join(X_71,meet(Z,join(X,X_71))) = join(X_71,meet(join(X,X_71),Z)) ),
inference(resolve,[$cnf( $equal(join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))),join(X_71,meet(Z,join(X,X_71)))) )],[refute_0_1692,refute_0_1693]) ).
cnf(refute_0_1695,plain,
join(X_71,meet(Z,join(X,X_71))) = join(X_71,meet(join(X,X_71),Z)),
inference(resolve,[$cnf( $equal(join(X_71,join(meet(Z,X),meet(join(X,X_71),Z))),join(X_71,meet(join(X,X_71),Z))) )],[refute_0_392,refute_0_1694]) ).
cnf(refute_0_1696,plain,
meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,join(X_109,meet(join(Y,X_109),X_107)))) = join(X_109,meet(join(Y,X_109),X_107)),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_109,meet(join(Y,X_109),X_107))))]]) ).
cnf(refute_0_1697,plain,
join(Y,join(X_109,meet(join(Y,X_109),X_107))) = join(Y,X_109),
inference(subst,[],[refute_0_89:[bind(Y,$fot(X_107)),bind(X_25,$fot(Y)),bind(X_26,$fot(X_109))]]) ).
cnf(refute_0_1698,plain,
( join(Y,join(X_109,meet(join(Y,X_109),X_107))) != join(Y,X_109)
| meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,join(X_109,meet(join(Y,X_109),X_107)))) != join(X_109,meet(join(Y,X_109),X_107))
| meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,X_109)) = join(X_109,meet(join(Y,X_109),X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,join(X_109,meet(join(Y,X_109),X_107)))),join(X_109,meet(join(Y,X_109),X_107))) ),[0,1],$fot(join(Y,X_109))]]) ).
cnf(refute_0_1699,plain,
( meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,join(X_109,meet(join(Y,X_109),X_107)))) != join(X_109,meet(join(Y,X_109),X_107))
| meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,X_109)) = join(X_109,meet(join(Y,X_109),X_107)) ),
inference(resolve,[$cnf( $equal(join(Y,join(X_109,meet(join(Y,X_109),X_107))),join(Y,X_109)) )],[refute_0_1697,refute_0_1698]) ).
cnf(refute_0_1700,plain,
meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,X_109)) = join(X_109,meet(join(Y,X_109),X_107)),
inference(resolve,[$cnf( $equal(meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,join(X_109,meet(join(Y,X_109),X_107)))),join(X_109,meet(join(Y,X_109),X_107))) )],[refute_0_1696,refute_0_1699]) ).
cnf(refute_0_1701,plain,
meet(X_105,meet(join(X_14,Y),join(Y,X_14))) = meet(join(Y,X_14),meet(join(X_14,Y),X_105)),
inference(subst,[],[refute_0_867:[bind(X_101,$fot(join(X_14,Y))),bind(X_103,$fot(X_105)),bind(X_7,$fot(join(Y,X_14)))]]) ).
cnf(refute_0_1702,plain,
( meet(X_105,meet(join(X_14,Y),join(Y,X_14))) != meet(join(Y,X_14),meet(join(X_14,Y),X_105))
| meet(join(X_14,Y),join(Y,X_14)) != join(X_14,Y)
| meet(X_105,join(X_14,Y)) = meet(join(Y,X_14),meet(join(X_14,Y),X_105)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_105,meet(join(X_14,Y),join(Y,X_14))),meet(join(Y,X_14),meet(join(X_14,Y),X_105))) ),[0,1],$fot(join(X_14,Y))]]) ).
cnf(refute_0_1703,plain,
( meet(X_105,meet(join(X_14,Y),join(Y,X_14))) != meet(join(Y,X_14),meet(join(X_14,Y),X_105))
| meet(X_105,join(X_14,Y)) = meet(join(Y,X_14),meet(join(X_14,Y),X_105)) ),
inference(resolve,[$cnf( $equal(meet(join(X_14,Y),join(Y,X_14)),join(X_14,Y)) )],[refute_0_354,refute_0_1702]) ).
cnf(refute_0_1704,plain,
meet(X_105,join(X_14,Y)) = meet(join(Y,X_14),meet(join(X_14,Y),X_105)),
inference(resolve,[$cnf( $equal(meet(X_105,meet(join(X_14,Y),join(Y,X_14))),meet(join(Y,X_14),meet(join(X_14,Y),X_105))) )],[refute_0_1701,refute_0_1703]) ).
cnf(refute_0_1705,plain,
meet(meet(join(X_29,X_28),join(X_28,X_29)),Z) = meet(join(X_29,X_28),meet(join(X_28,X_29),Z)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(join(X_29,X_28))),bind(Y,$fot(join(X_28,X_29)))]]) ).
cnf(refute_0_1706,plain,
meet(join(X_29,X_28),join(X_28,X_29)) = join(X_29,X_28),
inference(subst,[],[refute_0_354:[bind(Y,$fot(X_28)),bind(X_14,$fot(X_29))]]) ).
cnf(refute_0_1707,plain,
( meet(join(X_29,X_28),join(X_28,X_29)) != join(X_29,X_28)
| meet(meet(join(X_29,X_28),join(X_28,X_29)),Z) != meet(join(X_29,X_28),meet(join(X_28,X_29),Z))
| meet(join(X_29,X_28),Z) = meet(join(X_29,X_28),meet(join(X_28,X_29),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_29,X_28),join(X_28,X_29)),Z),meet(join(X_29,X_28),meet(join(X_28,X_29),Z))) ),[0,0],$fot(join(X_29,X_28))]]) ).
cnf(refute_0_1708,plain,
( meet(meet(join(X_29,X_28),join(X_28,X_29)),Z) != meet(join(X_29,X_28),meet(join(X_28,X_29),Z))
| meet(join(X_29,X_28),Z) = meet(join(X_29,X_28),meet(join(X_28,X_29),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),join(X_28,X_29)),join(X_29,X_28)) )],[refute_0_1706,refute_0_1707]) ).
cnf(refute_0_1709,plain,
meet(join(X_29,X_28),Z) = meet(join(X_29,X_28),meet(join(X_28,X_29),Z)),
inference(resolve,[$cnf( $equal(meet(meet(join(X_29,X_28),join(X_28,X_29)),Z),meet(join(X_29,X_28),meet(join(X_28,X_29),Z))) )],[refute_0_1705,refute_0_1708]) ).
cnf(refute_0_1710,plain,
( meet(join(X_29,X_28),Z) != meet(join(X_29,X_28),meet(join(X_28,X_29),Z))
| meet(join(X_29,X_28),meet(join(X_28,X_29),Z)) = meet(join(X_29,X_28),Z) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(join(X_29,X_28),Z))),bind(Y0,$fot(meet(join(X_29,X_28),meet(join(X_28,X_29),Z))))]]) ).
cnf(refute_0_1711,plain,
meet(join(X_29,X_28),meet(join(X_28,X_29),Z)) = meet(join(X_29,X_28),Z),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),Z),meet(join(X_29,X_28),meet(join(X_28,X_29),Z))) )],[refute_0_1709,refute_0_1710]) ).
cnf(refute_0_1712,plain,
meet(join(Y,X_14),meet(join(X_14,Y),X_105)) = meet(join(Y,X_14),X_105),
inference(subst,[],[refute_0_1711:[bind(Z,$fot(X_105)),bind(X_28,$fot(X_14)),bind(X_29,$fot(Y))]]) ).
cnf(refute_0_1713,plain,
( meet(X_105,join(X_14,Y)) != meet(join(Y,X_14),meet(join(X_14,Y),X_105))
| meet(join(Y,X_14),meet(join(X_14,Y),X_105)) != meet(join(Y,X_14),X_105)
| meet(X_105,join(X_14,Y)) = meet(join(Y,X_14),X_105) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_105,join(X_14,Y)),meet(join(Y,X_14),X_105)) ),[0],$fot(meet(join(Y,X_14),meet(join(X_14,Y),X_105)))]]) ).
cnf(refute_0_1714,plain,
( meet(X_105,join(X_14,Y)) != meet(join(Y,X_14),meet(join(X_14,Y),X_105))
| meet(X_105,join(X_14,Y)) = meet(join(Y,X_14),X_105) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_14),meet(join(X_14,Y),X_105)),meet(join(Y,X_14),X_105)) )],[refute_0_1712,refute_0_1713]) ).
cnf(refute_0_1715,plain,
meet(X_105,join(X_14,Y)) = meet(join(Y,X_14),X_105),
inference(resolve,[$cnf( $equal(meet(X_105,join(X_14,Y)),meet(join(Y,X_14),meet(join(X_14,Y),X_105))) )],[refute_0_1704,refute_0_1714]) ).
cnf(refute_0_1716,plain,
meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,X_109)) = meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))),
inference(subst,[],[refute_0_1715:[bind(Y,$fot(X_109)),bind(X_105,$fot(join(X_109,meet(join(Y,X_109),X_107)))),bind(X_14,$fot(Y))]]) ).
cnf(refute_0_1717,plain,
( meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,X_109)) != join(X_109,meet(join(Y,X_109),X_107))
| meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,X_109)) != meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107)))
| meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) = join(X_109,meet(join(Y,X_109),X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,X_109)),join(X_109,meet(join(Y,X_109),X_107))) ),[0],$fot(meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))))]]) ).
cnf(refute_0_1718,plain,
( meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,X_109)) != join(X_109,meet(join(Y,X_109),X_107))
| meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) = join(X_109,meet(join(Y,X_109),X_107)) ),
inference(resolve,[$cnf( $equal(meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,X_109)),meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107)))) )],[refute_0_1716,refute_0_1717]) ).
cnf(refute_0_1719,plain,
meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) = join(X_109,meet(join(Y,X_109),X_107)),
inference(resolve,[$cnf( $equal(meet(join(X_109,meet(join(Y,X_109),X_107)),join(Y,X_109)),join(X_109,meet(join(Y,X_109),X_107))) )],[refute_0_1700,refute_0_1718]) ).
cnf(refute_0_1720,plain,
join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) = meet(join(X_37,join(Y,X_37)),join(X_36,meet(join(join(Y,X_37),X_36),X_37))),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(Y,X_37))),bind(Y,$fot(X_36)),bind(Z,$fot(X_37))]]) ).
cnf(refute_0_1721,plain,
join(X_37,join(Y,X_37)) = join(X_37,Y),
inference(subst,[],[refute_0_58:[bind(X_9,$fot(X_37))]]) ).
cnf(refute_0_1722,plain,
( join(X_37,join(Y,X_37)) != join(X_37,Y)
| join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) != meet(join(X_37,join(Y,X_37)),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))
| join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) = meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))),meet(join(X_37,join(Y,X_37)),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))) ),[1,0],$fot(join(X_37,Y))]]) ).
cnf(refute_0_1723,plain,
( join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) != meet(join(X_37,join(Y,X_37)),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))
| join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) = meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) ),
inference(resolve,[$cnf( $equal(join(X_37,join(Y,X_37)),join(X_37,Y)) )],[refute_0_1721,refute_0_1722]) ).
cnf(refute_0_1724,plain,
join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) = meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))),
inference(resolve,[$cnf( $equal(join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))),meet(join(X_37,join(Y,X_37)),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))) )],[refute_0_1720,refute_0_1723]) ).
cnf(refute_0_1725,plain,
meet(X_37,join(Y,X_37)) = X_37,
inference(subst,[],[refute_0_2:[bind(X,$fot(X_37))]]) ).
cnf(refute_0_1726,plain,
join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),
introduced(tautology,[refl,[$fot(join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))))]]) ).
cnf(refute_0_1727,plain,
( join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))
| meet(X_37,join(Y,X_37)) != X_37
| join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))) ),[1,0],$fot(X_37)]]) ).
cnf(refute_0_1728,plain,
( meet(X_37,join(Y,X_37)) != X_37
| join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))) )],[refute_0_1726,refute_0_1727]) ).
cnf(refute_0_1729,plain,
join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),
inference(resolve,[$cnf( $equal(meet(X_37,join(Y,X_37)),X_37) )],[refute_0_1725,refute_0_1728]) ).
cnf(refute_0_1730,plain,
join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) = join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),
inference(subst,[],[refute_0_270:[bind(X_35,$fot(join(Y,X_37)))]]) ).
cnf(refute_0_1731,plain,
( join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))
| join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) != join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))
| join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) = join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))))),bind(Y0,$fot(join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))))),bind(Z0,$fot(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))))]]) ).
cnf(refute_0_1732,plain,
( join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))
| join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) = join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))),join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))) )],[refute_0_1730,refute_0_1731]) ).
cnf(refute_0_1733,plain,
join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) = join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),
inference(resolve,[$cnf( $equal(join(meet(X_37,join(Y,X_37)),meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))) )],[refute_0_1729,refute_0_1732]) ).
cnf(refute_0_1734,plain,
( join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) != join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))
| join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) != meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))),meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))) ),[0],$fot(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))))]]) ).
cnf(refute_0_1735,plain,
( join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) != meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))),join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))) )],[refute_0_1733,refute_0_1734]) ).
cnf(refute_0_1736,plain,
join(join(Y,X_37),X_36) = join(Y,join(X_37,X_36)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(Y)),bind(Y,$fot(X_37)),bind(Z,$fot(X_36))]]) ).
cnf(refute_0_1737,plain,
meet(X_37,join(join(Y,X_37),X_36)) = meet(X_37,join(join(Y,X_37),X_36)),
introduced(tautology,[refl,[$fot(meet(X_37,join(join(Y,X_37),X_36)))]]) ).
cnf(refute_0_1738,plain,
( join(join(Y,X_37),X_36) != join(Y,join(X_37,X_36))
| meet(X_37,join(join(Y,X_37),X_36)) != meet(X_37,join(join(Y,X_37),X_36))
| meet(X_37,join(join(Y,X_37),X_36)) = meet(X_37,join(Y,join(X_37,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_37,join(join(Y,X_37),X_36)),meet(X_37,join(join(Y,X_37),X_36))) ),[1,1],$fot(join(Y,join(X_37,X_36)))]]) ).
cnf(refute_0_1739,plain,
( join(join(Y,X_37),X_36) != join(Y,join(X_37,X_36))
| meet(X_37,join(join(Y,X_37),X_36)) = meet(X_37,join(Y,join(X_37,X_36))) ),
inference(resolve,[$cnf( $equal(meet(X_37,join(join(Y,X_37),X_36)),meet(X_37,join(join(Y,X_37),X_36))) )],[refute_0_1737,refute_0_1738]) ).
cnf(refute_0_1740,plain,
meet(X_37,join(join(Y,X_37),X_36)) = meet(X_37,join(Y,join(X_37,X_36))),
inference(resolve,[$cnf( $equal(join(join(Y,X_37),X_36),join(Y,join(X_37,X_36))) )],[refute_0_1736,refute_0_1739]) ).
cnf(refute_0_1741,plain,
meet(join(join(Y,X_37),X_36),X_37) = meet(X_37,join(join(Y,X_37),X_36)),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_37)),bind(Y,$fot(join(join(Y,X_37),X_36)))]]) ).
cnf(refute_0_1742,plain,
( meet(X_37,join(join(Y,X_37),X_36)) != meet(X_37,join(Y,join(X_37,X_36)))
| meet(join(join(Y,X_37),X_36),X_37) != meet(X_37,join(join(Y,X_37),X_36))
| meet(join(join(Y,X_37),X_36),X_37) = meet(X_37,join(Y,join(X_37,X_36))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(join(Y,X_37),X_36),X_37))),bind(Y0,$fot(meet(X_37,join(join(Y,X_37),X_36)))),bind(Z0,$fot(meet(X_37,join(Y,join(X_37,X_36)))))]]) ).
cnf(refute_0_1743,plain,
( meet(X_37,join(join(Y,X_37),X_36)) != meet(X_37,join(Y,join(X_37,X_36)))
| meet(join(join(Y,X_37),X_36),X_37) = meet(X_37,join(Y,join(X_37,X_36))) ),
inference(resolve,[$cnf( $equal(meet(join(join(Y,X_37),X_36),X_37),meet(X_37,join(join(Y,X_37),X_36))) )],[refute_0_1741,refute_0_1742]) ).
cnf(refute_0_1744,plain,
meet(join(join(Y,X_37),X_36),X_37) = meet(X_37,join(Y,join(X_37,X_36))),
inference(resolve,[$cnf( $equal(meet(X_37,join(join(Y,X_37),X_36)),meet(X_37,join(Y,join(X_37,X_36)))) )],[refute_0_1740,refute_0_1743]) ).
cnf(refute_0_1745,plain,
join(X_36,meet(join(join(Y,X_37),X_36),X_37)) = join(X_36,meet(join(join(Y,X_37),X_36),X_37)),
introduced(tautology,[refl,[$fot(join(X_36,meet(join(join(Y,X_37),X_36),X_37)))]]) ).
cnf(refute_0_1746,plain,
( join(X_36,meet(join(join(Y,X_37),X_36),X_37)) != join(X_36,meet(join(join(Y,X_37),X_36),X_37))
| meet(join(join(Y,X_37),X_36),X_37) != meet(X_37,join(Y,join(X_37,X_36)))
| join(X_36,meet(join(join(Y,X_37),X_36),X_37)) = join(X_36,meet(X_37,join(Y,join(X_37,X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_36,meet(join(join(Y,X_37),X_36),X_37)),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) ),[1,1],$fot(meet(X_37,join(Y,join(X_37,X_36))))]]) ).
cnf(refute_0_1747,plain,
( meet(join(join(Y,X_37),X_36),X_37) != meet(X_37,join(Y,join(X_37,X_36)))
| join(X_36,meet(join(join(Y,X_37),X_36),X_37)) = join(X_36,meet(X_37,join(Y,join(X_37,X_36)))) ),
inference(resolve,[$cnf( $equal(join(X_36,meet(join(join(Y,X_37),X_36),X_37)),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) )],[refute_0_1745,refute_0_1746]) ).
cnf(refute_0_1748,plain,
join(X_36,meet(join(join(Y,X_37),X_36),X_37)) = join(X_36,meet(X_37,join(Y,join(X_37,X_36)))),
inference(resolve,[$cnf( $equal(meet(join(join(Y,X_37),X_36),X_37),meet(X_37,join(Y,join(X_37,X_36)))) )],[refute_0_1744,refute_0_1747]) ).
cnf(refute_0_1749,plain,
meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) = meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))),
introduced(tautology,[refl,[$fot(meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))))]]) ).
cnf(refute_0_1750,plain,
( join(X_36,meet(join(join(Y,X_37),X_36),X_37)) != join(X_36,meet(X_37,join(Y,join(X_37,X_36))))
| meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) != meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))
| meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) = meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))),meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))) ),[1,1],$fot(join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))]]) ).
cnf(refute_0_1751,plain,
( join(X_36,meet(join(join(Y,X_37),X_36),X_37)) != join(X_36,meet(X_37,join(Y,join(X_37,X_36))))
| meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) = meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) ),
inference(resolve,[$cnf( $equal(meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))),meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))) )],[refute_0_1749,refute_0_1750]) ).
cnf(refute_0_1752,plain,
meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) = meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))),
inference(resolve,[$cnf( $equal(join(X_36,meet(join(join(Y,X_37),X_36),X_37)),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) )],[refute_0_1748,refute_0_1751]) ).
cnf(refute_0_1753,plain,
( join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))
| meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))) != meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))) ),[0],$fot(meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))))]]) ).
cnf(refute_0_1754,plain,
( join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) ),
inference(resolve,[$cnf( $equal(meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37))),meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))) )],[refute_0_1752,refute_0_1753]) ).
cnf(refute_0_1755,plain,
( join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))) != meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) ),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))) )],[refute_0_1735,refute_0_1754]) ).
cnf(refute_0_1756,plain,
join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))),
inference(resolve,[$cnf( $equal(join(meet(X_37,join(Y,X_37)),meet(X_36,join(meet(join(Y,X_37),X_36),X_37))),meet(join(X_37,Y),join(X_36,meet(join(join(Y,X_37),X_36),X_37)))) )],[refute_0_1724,refute_0_1755]) ).
cnf(refute_0_1757,plain,
meet(X_37,join(Y,join(X_37,X_36))) = X_37,
inference(subst,[],[refute_0_1542:[bind(X_38,$fot(X_36)),bind(X_39,$fot(X_37))]]) ).
cnf(refute_0_1758,plain,
join(X_36,meet(X_37,join(Y,join(X_37,X_36)))) = join(X_36,meet(X_37,join(Y,join(X_37,X_36)))),
introduced(tautology,[refl,[$fot(join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))]]) ).
cnf(refute_0_1759,plain,
( join(X_36,meet(X_37,join(Y,join(X_37,X_36)))) != join(X_36,meet(X_37,join(Y,join(X_37,X_36))))
| meet(X_37,join(Y,join(X_37,X_36))) != X_37
| join(X_36,meet(X_37,join(Y,join(X_37,X_36)))) = join(X_36,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_36,meet(X_37,join(Y,join(X_37,X_36)))),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) ),[1,1],$fot(X_37)]]) ).
cnf(refute_0_1760,plain,
( meet(X_37,join(Y,join(X_37,X_36))) != X_37
| join(X_36,meet(X_37,join(Y,join(X_37,X_36)))) = join(X_36,X_37) ),
inference(resolve,[$cnf( $equal(join(X_36,meet(X_37,join(Y,join(X_37,X_36)))),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) )],[refute_0_1758,refute_0_1759]) ).
cnf(refute_0_1761,plain,
join(X_36,meet(X_37,join(Y,join(X_37,X_36)))) = join(X_36,X_37),
inference(resolve,[$cnf( $equal(meet(X_37,join(Y,join(X_37,X_36))),X_37) )],[refute_0_1757,refute_0_1760]) ).
cnf(refute_0_1762,plain,
meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) = meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))),
introduced(tautology,[refl,[$fot(meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))))]]) ).
cnf(refute_0_1763,plain,
( join(X_36,meet(X_37,join(Y,join(X_37,X_36)))) != join(X_36,X_37)
| meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) != meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))
| meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) = meet(join(X_37,Y),join(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))),meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))) ),[1,1],$fot(join(X_36,X_37))]]) ).
cnf(refute_0_1764,plain,
( join(X_36,meet(X_37,join(Y,join(X_37,X_36)))) != join(X_36,X_37)
| meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) = meet(join(X_37,Y),join(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))),meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))) )],[refute_0_1762,refute_0_1763]) ).
cnf(refute_0_1765,plain,
meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) = meet(join(X_37,Y),join(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(X_36,meet(X_37,join(Y,join(X_37,X_36)))),join(X_36,X_37)) )],[refute_0_1761,refute_0_1764]) ).
cnf(refute_0_1766,plain,
( join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))
| meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))) != meet(join(X_37,Y),join(X_36,X_37))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = meet(join(X_37,Y),join(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),meet(join(X_37,Y),join(X_36,X_37))) ),[0],$fot(meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))))]]) ).
cnf(refute_0_1767,plain,
( join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = meet(join(X_37,Y),join(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36))))),meet(join(X_37,Y),join(X_36,X_37))) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = meet(join(X_37,Y),join(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),meet(join(X_37,Y),join(X_36,meet(X_37,join(Y,join(X_37,X_36)))))) )],[refute_0_1756,refute_0_1767]) ).
cnf(refute_0_1769,plain,
join(join(X_47,Y),meet(X_47,meet(join(X_47,Y),X_48))) = join(X_47,Y),
inference(subst,[],[refute_0_230:[bind(X_32,$fot(X_47)),bind(X_33,$fot(X_48)),bind(X_34,$fot(join(X_47,Y)))]]) ).
cnf(refute_0_1770,plain,
meet(X_47,X_48) = meet(X_47,meet(join(X_47,Y),X_48)),
inference(subst,[],[refute_0_121:[bind(X_22,$fot(X_47)),bind(X_24,$fot(X_48))]]) ).
cnf(refute_0_1771,plain,
( meet(X_47,X_48) != meet(X_47,meet(join(X_47,Y),X_48))
| meet(X_47,meet(join(X_47,Y),X_48)) = meet(X_47,X_48) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_47,X_48))),bind(Y0,$fot(meet(X_47,meet(join(X_47,Y),X_48))))]]) ).
cnf(refute_0_1772,plain,
meet(X_47,meet(join(X_47,Y),X_48)) = meet(X_47,X_48),
inference(resolve,[$cnf( $equal(meet(X_47,X_48),meet(X_47,meet(join(X_47,Y),X_48))) )],[refute_0_1770,refute_0_1771]) ).
cnf(refute_0_1773,plain,
( join(join(X_47,Y),meet(X_47,meet(join(X_47,Y),X_48))) != join(X_47,Y)
| meet(X_47,meet(join(X_47,Y),X_48)) != meet(X_47,X_48)
| join(join(X_47,Y),meet(X_47,X_48)) = join(X_47,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_47,Y),meet(X_47,meet(join(X_47,Y),X_48))),join(X_47,Y)) ),[0,1],$fot(meet(X_47,X_48))]]) ).
cnf(refute_0_1774,plain,
( join(join(X_47,Y),meet(X_47,meet(join(X_47,Y),X_48))) != join(X_47,Y)
| join(join(X_47,Y),meet(X_47,X_48)) = join(X_47,Y) ),
inference(resolve,[$cnf( $equal(meet(X_47,meet(join(X_47,Y),X_48)),meet(X_47,X_48)) )],[refute_0_1772,refute_0_1773]) ).
cnf(refute_0_1775,plain,
join(join(X_47,Y),meet(X_47,X_48)) = join(X_47,Y),
inference(resolve,[$cnf( $equal(join(join(X_47,Y),meet(X_47,meet(join(X_47,Y),X_48))),join(X_47,Y)) )],[refute_0_1769,refute_0_1774]) ).
cnf(refute_0_1776,plain,
join(join(X_47,Y),meet(X_47,X_48)) = join(X_47,join(Y,meet(X_47,X_48))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_47)),bind(Z,$fot(meet(X_47,X_48)))]]) ).
cnf(refute_0_1777,plain,
( join(join(X_47,Y),meet(X_47,X_48)) != join(X_47,Y)
| join(join(X_47,Y),meet(X_47,X_48)) != join(X_47,join(Y,meet(X_47,X_48)))
| join(X_47,join(Y,meet(X_47,X_48))) = join(X_47,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_47,Y),meet(X_47,X_48)),join(X_47,Y)) ),[0],$fot(join(X_47,join(Y,meet(X_47,X_48))))]]) ).
cnf(refute_0_1778,plain,
( join(join(X_47,Y),meet(X_47,X_48)) != join(X_47,Y)
| join(X_47,join(Y,meet(X_47,X_48))) = join(X_47,Y) ),
inference(resolve,[$cnf( $equal(join(join(X_47,Y),meet(X_47,X_48)),join(X_47,join(Y,meet(X_47,X_48)))) )],[refute_0_1776,refute_0_1777]) ).
cnf(refute_0_1779,plain,
join(X_47,join(Y,meet(X_47,X_48))) = join(X_47,Y),
inference(resolve,[$cnf( $equal(join(join(X_47,Y),meet(X_47,X_48)),join(X_47,Y)) )],[refute_0_1775,refute_0_1778]) ).
cnf(refute_0_1780,plain,
join(X_37,join(meet(X_36,Y),meet(X_37,X_36))) = join(X_37,meet(X_36,Y)),
inference(subst,[],[refute_0_1779:[bind(Y,$fot(meet(X_36,Y))),bind(X_47,$fot(X_37)),bind(X_48,$fot(X_36))]]) ).
cnf(refute_0_1781,plain,
meet(X_36,join(X_37,meet(join(Y,X_37),X_36))) = join(meet(X_36,Y),meet(X_37,X_36)),
inference(subst,[],[refute_0_1067:[bind(Y,$fot(X_37)),bind(X_38,$fot(Y)),bind(X_39,$fot(X_36))]]) ).
cnf(refute_0_1782,plain,
join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),
introduced(tautology,[refl,[$fot(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))))]]) ).
cnf(refute_0_1783,plain,
( join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))
| meet(X_36,join(X_37,meet(join(Y,X_37),X_36))) != join(meet(X_36,Y),meet(X_37,X_36))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(X_37,join(meet(X_36,Y),meet(X_37,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))) ),[1,1],$fot(join(meet(X_36,Y),meet(X_37,X_36)))]]) ).
cnf(refute_0_1784,plain,
( meet(X_36,join(X_37,meet(join(Y,X_37),X_36))) != join(meet(X_36,Y),meet(X_37,X_36))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(X_37,join(meet(X_36,Y),meet(X_37,X_36))) ),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36))))) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(X_37,join(meet(X_36,Y),meet(X_37,X_36))),
inference(resolve,[$cnf( $equal(meet(X_36,join(X_37,meet(join(Y,X_37),X_36))),join(meet(X_36,Y),meet(X_37,X_36))) )],[refute_0_1781,refute_0_1784]) ).
cnf(refute_0_1786,plain,
( join(X_37,join(meet(X_36,Y),meet(X_37,X_36))) != join(X_37,meet(X_36,Y))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != join(X_37,join(meet(X_36,Y),meet(X_37,X_36)))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(X_37,meet(X_36,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))))),bind(Y0,$fot(join(X_37,join(meet(X_36,Y),meet(X_37,X_36))))),bind(Z0,$fot(join(X_37,meet(X_36,Y))))]]) ).
cnf(refute_0_1787,plain,
( join(X_37,join(meet(X_36,Y),meet(X_37,X_36))) != join(X_37,meet(X_36,Y))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(X_37,meet(X_36,Y)) ),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),join(X_37,join(meet(X_36,Y),meet(X_37,X_36)))) )],[refute_0_1785,refute_0_1786]) ).
cnf(refute_0_1788,plain,
join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) = join(X_37,meet(X_36,Y)),
inference(resolve,[$cnf( $equal(join(X_37,join(meet(X_36,Y),meet(X_37,X_36))),join(X_37,meet(X_36,Y))) )],[refute_0_1780,refute_0_1787]) ).
cnf(refute_0_1789,plain,
( join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != join(X_37,meet(X_36,Y))
| join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != meet(join(X_37,Y),join(X_36,X_37))
| join(X_37,meet(X_36,Y)) = meet(join(X_37,Y),join(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),meet(join(X_37,Y),join(X_36,X_37))) ),[0],$fot(join(X_37,meet(X_36,Y)))]]) ).
cnf(refute_0_1790,plain,
( join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))) != meet(join(X_37,Y),join(X_36,X_37))
| join(X_37,meet(X_36,Y)) = meet(join(X_37,Y),join(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),join(X_37,meet(X_36,Y))) )],[refute_0_1788,refute_0_1789]) ).
cnf(refute_0_1791,plain,
join(X_37,meet(X_36,Y)) = meet(join(X_37,Y),join(X_36,X_37)),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_36,join(X_37,meet(join(Y,X_37),X_36)))),meet(join(X_37,Y),join(X_36,X_37))) )],[refute_0_1768,refute_0_1790]) ).
cnf(refute_0_1792,plain,
( join(X_37,meet(X_36,Y)) != meet(join(X_37,Y),join(X_36,X_37))
| meet(join(X_37,Y),join(X_36,X_37)) = join(X_37,meet(X_36,Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_37,meet(X_36,Y)))),bind(Y0,$fot(meet(join(X_37,Y),join(X_36,X_37))))]]) ).
cnf(refute_0_1793,plain,
meet(join(X_37,Y),join(X_36,X_37)) = join(X_37,meet(X_36,Y)),
inference(resolve,[$cnf( $equal(join(X_37,meet(X_36,Y)),meet(join(X_37,Y),join(X_36,X_37))) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
meet(join(X_109,Y),join(X_107,X_109)) = join(X_109,meet(X_107,Y)),
inference(subst,[],[refute_0_1793:[bind(X_36,$fot(X_107)),bind(X_37,$fot(X_109))]]) ).
cnf(refute_0_1795,plain,
meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) = meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))))),
inference(subst,[],[refute_0_1709:[bind(Z,$fot(join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))))]]) ).
cnf(refute_0_1796,plain,
join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))) = meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))),
inference(subst,[],[refute_0_289:[bind(X_36,$fot(X_158)),bind(X_37,$fot(join(X_28,X_29))),bind(X_7,$fot(X_160))]]) ).
cnf(refute_0_1797,plain,
( join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))) != meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))))
| meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) = join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))),bind(Y0,$fot(meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))))))]]) ).
cnf(refute_0_1798,plain,
meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) = join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))),
inference(resolve,[$cnf( $equal(join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))),meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))))) )],[refute_0_1796,refute_0_1797]) ).
cnf(refute_0_1799,plain,
( meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) != join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) != meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) = meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))),meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))))) ),[1,1],$fot(join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))]]) ).
cnf(refute_0_1800,plain,
( meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) != meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) = meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) )],[refute_0_1798,refute_0_1799]) ).
cnf(refute_0_1801,plain,
meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) = meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))),meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))))) )],[refute_0_1795,refute_0_1800]) ).
cnf(refute_0_1802,plain,
join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))) = join(X_158,meet(join(X_28,X_29),X_160)),
inference(subst,[],[refute_0_1025:[bind(X_25,$fot(X_158)),bind(X_7,$fot(join(X_28,X_29)))]]) ).
cnf(refute_0_1803,plain,
meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) = meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))),
introduced(tautology,[refl,[$fot(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))))]]) ).
cnf(refute_0_1804,plain,
( join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))) != join(X_158,meet(join(X_28,X_29),X_160))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) != meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) = meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))),meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))))) ),[1,1],$fot(join(X_158,meet(join(X_28,X_29),X_160)))]]) ).
cnf(refute_0_1805,plain,
( join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))) != join(X_158,meet(join(X_28,X_29),X_160))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) = meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))),meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))))) )],[refute_0_1803,refute_0_1804]) ).
cnf(refute_0_1806,plain,
meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) = meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))),
inference(resolve,[$cnf( $equal(join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158))),join(X_158,meet(join(X_28,X_29),X_160))) )],[refute_0_1802,refute_0_1805]) ).
cnf(refute_0_1807,plain,
( meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) != meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160)))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) != meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))) = meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))),meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))) ),[0],$fot(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))))]]) ).
cnf(refute_0_1808,plain,
( meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))) != meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))) = meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))),meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160)))) )],[refute_0_1806,refute_0_1807]) ).
cnf(refute_0_1809,plain,
meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))) = meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),join(meet(X_160,join(X_28,X_29)),X_158)))),meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))) )],[refute_0_1801,refute_0_1808]) ).
cnf(refute_0_1810,plain,
meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_160,X_158))) = meet(join(X_29,X_28),join(X_160,X_158)),
inference(subst,[],[refute_0_1711:[bind(Z,$fot(join(X_160,X_158)))]]) ).
cnf(refute_0_1811,plain,
join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))) = meet(join(X_28,X_29),join(X_160,X_158)),
inference(subst,[],[refute_0_1684:[bind(Y,$fot(X_158)),bind(X_38,$fot(X_160)),bind(X_39,$fot(join(X_28,X_29)))]]) ).
cnf(refute_0_1812,plain,
meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) = meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))),
introduced(tautology,[refl,[$fot(meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))))]]) ).
cnf(refute_0_1813,plain,
( join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))) != meet(join(X_28,X_29),join(X_160,X_158))
| meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) != meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))
| meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) = meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_160,X_158))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))),meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))) ),[1,1],$fot(meet(join(X_28,X_29),join(X_160,X_158)))]]) ).
cnf(refute_0_1814,plain,
( join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))) != meet(join(X_28,X_29),join(X_160,X_158))
| meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) = meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_160,X_158))) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))),meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))) )],[refute_0_1812,refute_0_1813]) ).
cnf(refute_0_1815,plain,
meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) = meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_160,X_158))),
inference(resolve,[$cnf( $equal(join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))),meet(join(X_28,X_29),join(X_160,X_158))) )],[refute_0_1811,refute_0_1814]) ).
cnf(refute_0_1816,plain,
( meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) != meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_160,X_158)))
| meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_160,X_158))) != meet(join(X_29,X_28),join(X_160,X_158))
| meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) = meet(join(X_29,X_28),join(X_160,X_158)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))))),bind(Y0,$fot(meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_160,X_158))))),bind(Z0,$fot(meet(join(X_29,X_28),join(X_160,X_158))))]]) ).
cnf(refute_0_1817,plain,
( meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_160,X_158))) != meet(join(X_29,X_28),join(X_160,X_158))
| meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) = meet(join(X_29,X_28),join(X_160,X_158)) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))),meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_160,X_158)))) )],[refute_0_1815,refute_0_1816]) ).
cnf(refute_0_1818,plain,
meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) = meet(join(X_29,X_28),join(X_160,X_158)),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),meet(join(X_28,X_29),join(X_160,X_158))),meet(join(X_29,X_28),join(X_160,X_158))) )],[refute_0_1810,refute_0_1817]) ).
cnf(refute_0_1819,plain,
( meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))) != meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))
| meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))) != meet(join(X_29,X_28),join(X_160,X_158))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))) = meet(join(X_29,X_28),join(X_160,X_158)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))),meet(join(X_29,X_28),join(X_160,X_158))) ),[0],$fot(meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))))]]) ).
cnf(refute_0_1820,plain,
( meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))) != meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))
| meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))) = meet(join(X_29,X_28),join(X_160,X_158)) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29)))),meet(join(X_29,X_28),join(X_160,X_158))) )],[refute_0_1818,refute_0_1819]) ).
cnf(refute_0_1821,plain,
meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))) = meet(join(X_29,X_28),join(X_160,X_158)),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_28),join(X_158,meet(join(X_28,X_29),X_160))),meet(join(X_29,X_28),join(meet(join(X_28,X_29),X_160),meet(X_158,join(X_28,X_29))))) )],[refute_0_1809,refute_0_1820]) ).
cnf(refute_0_1822,plain,
meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) = meet(join(X_109,Y),join(X_107,X_109)),
inference(subst,[],[refute_0_1821:[bind(X_158,$fot(X_109)),bind(X_160,$fot(X_107)),bind(X_28,$fot(Y)),bind(X_29,$fot(X_109))]]) ).
cnf(refute_0_1823,plain,
( meet(join(X_109,Y),join(X_107,X_109)) != join(X_109,meet(X_107,Y))
| meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) != meet(join(X_109,Y),join(X_107,X_109))
| meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) = join(X_109,meet(X_107,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))))),bind(Y0,$fot(meet(join(X_109,Y),join(X_107,X_109)))),bind(Z0,$fot(join(X_109,meet(X_107,Y))))]]) ).
cnf(refute_0_1824,plain,
( meet(join(X_109,Y),join(X_107,X_109)) != join(X_109,meet(X_107,Y))
| meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) = join(X_109,meet(X_107,Y)) ),
inference(resolve,[$cnf( $equal(meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))),meet(join(X_109,Y),join(X_107,X_109))) )],[refute_0_1822,refute_0_1823]) ).
cnf(refute_0_1825,plain,
meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) = join(X_109,meet(X_107,Y)),
inference(resolve,[$cnf( $equal(meet(join(X_109,Y),join(X_107,X_109)),join(X_109,meet(X_107,Y))) )],[refute_0_1794,refute_0_1824]) ).
cnf(refute_0_1826,plain,
( meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) != join(X_109,meet(X_107,Y))
| meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) != join(X_109,meet(join(Y,X_109),X_107))
| join(X_109,meet(X_107,Y)) = join(X_109,meet(join(Y,X_109),X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))),join(X_109,meet(join(Y,X_109),X_107))) ),[0],$fot(join(X_109,meet(X_107,Y)))]]) ).
cnf(refute_0_1827,plain,
( meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))) != join(X_109,meet(join(Y,X_109),X_107))
| join(X_109,meet(X_107,Y)) = join(X_109,meet(join(Y,X_109),X_107)) ),
inference(resolve,[$cnf( $equal(meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))),join(X_109,meet(X_107,Y))) )],[refute_0_1825,refute_0_1826]) ).
cnf(refute_0_1828,plain,
join(X_109,meet(X_107,Y)) = join(X_109,meet(join(Y,X_109),X_107)),
inference(resolve,[$cnf( $equal(meet(join(X_109,Y),join(X_109,meet(join(Y,X_109),X_107))),join(X_109,meet(join(Y,X_109),X_107))) )],[refute_0_1719,refute_0_1827]) ).
cnf(refute_0_1829,plain,
( join(X_109,meet(X_107,Y)) != join(X_109,meet(join(Y,X_109),X_107))
| join(X_109,meet(join(Y,X_109),X_107)) = join(X_109,meet(X_107,Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_109,meet(X_107,Y)))),bind(Y0,$fot(join(X_109,meet(join(Y,X_109),X_107))))]]) ).
cnf(refute_0_1830,plain,
join(X_109,meet(join(Y,X_109),X_107)) = join(X_109,meet(X_107,Y)),
inference(resolve,[$cnf( $equal(join(X_109,meet(X_107,Y)),join(X_109,meet(join(Y,X_109),X_107))) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
join(X_71,meet(join(X,X_71),Z)) = join(X_71,meet(Z,X)),
inference(subst,[],[refute_0_1830:[bind(Y,$fot(X)),bind(X_107,$fot(Z)),bind(X_109,$fot(X_71))]]) ).
cnf(refute_0_1832,plain,
( join(X_71,meet(Z,join(X,X_71))) != join(X_71,meet(join(X,X_71),Z))
| join(X_71,meet(join(X,X_71),Z)) != join(X_71,meet(Z,X))
| join(X_71,meet(Z,join(X,X_71))) = join(X_71,meet(Z,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_71,meet(Z,join(X,X_71))),join(X_71,meet(Z,X))) ),[0],$fot(join(X_71,meet(join(X,X_71),Z)))]]) ).
cnf(refute_0_1833,plain,
( join(X_71,meet(Z,join(X,X_71))) != join(X_71,meet(join(X,X_71),Z))
| join(X_71,meet(Z,join(X,X_71))) = join(X_71,meet(Z,X)) ),
inference(resolve,[$cnf( $equal(join(X_71,meet(join(X,X_71),Z)),join(X_71,meet(Z,X))) )],[refute_0_1831,refute_0_1832]) ).
cnf(refute_0_1834,plain,
join(X_71,meet(Z,join(X,X_71))) = join(X_71,meet(Z,X)),
inference(resolve,[$cnf( $equal(join(X_71,meet(Z,join(X,X_71))),join(X_71,meet(join(X,X_71),Z))) )],[refute_0_1695,refute_0_1833]) ).
cnf(refute_0_1835,plain,
join(X_160,meet(X_158,join(Y,X_160))) = join(X_160,meet(X_158,Y)),
inference(subst,[],[refute_0_1834:[bind(X,$fot(Y)),bind(Z,$fot(X_158)),bind(X_71,$fot(X_160))]]) ).
cnf(refute_0_1836,plain,
( join(X_160,meet(X_158,join(Y,X_160))) != join(X_160,meet(X_158,Y))
| join(X_160,meet(X_158,join(Y,X_160))) != meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))
| join(X_160,meet(X_158,Y)) = meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_160,meet(X_158,join(Y,X_160))),meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))) ),[0],$fot(join(X_160,meet(X_158,Y)))]]) ).
cnf(refute_0_1837,plain,
( join(X_160,meet(X_158,join(Y,X_160))) != meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))
| join(X_160,meet(X_158,Y)) = meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) ),
inference(resolve,[$cnf( $equal(join(X_160,meet(X_158,join(Y,X_160))),join(X_160,meet(X_158,Y))) )],[refute_0_1835,refute_0_1836]) ).
cnf(refute_0_1838,plain,
join(X_160,meet(join(X_158,X_160),Y)) = join(X_160,meet(Y,X_158)),
inference(subst,[],[refute_0_1830:[bind(Y,$fot(X_158)),bind(X_107,$fot(Y)),bind(X_109,$fot(X_160))]]) ).
cnf(refute_0_1839,plain,
join(X_158,join(X_160,X_158)) = join(X_158,X_160),
inference(subst,[],[refute_0_58:[bind(Y,$fot(X_160)),bind(X_9,$fot(X_158))]]) ).
cnf(refute_0_1840,plain,
meet(join(X_158,join(X_160,X_158)),Y) = meet(join(X_158,join(X_160,X_158)),Y),
introduced(tautology,[refl,[$fot(meet(join(X_158,join(X_160,X_158)),Y))]]) ).
cnf(refute_0_1841,plain,
( join(X_158,join(X_160,X_158)) != join(X_158,X_160)
| meet(join(X_158,join(X_160,X_158)),Y) != meet(join(X_158,join(X_160,X_158)),Y)
| meet(join(X_158,join(X_160,X_158)),Y) = meet(join(X_158,X_160),Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_158,join(X_160,X_158)),Y),meet(join(X_158,join(X_160,X_158)),Y)) ),[1,0],$fot(join(X_158,X_160))]]) ).
cnf(refute_0_1842,plain,
( join(X_158,join(X_160,X_158)) != join(X_158,X_160)
| meet(join(X_158,join(X_160,X_158)),Y) = meet(join(X_158,X_160),Y) ),
inference(resolve,[$cnf( $equal(meet(join(X_158,join(X_160,X_158)),Y),meet(join(X_158,join(X_160,X_158)),Y)) )],[refute_0_1840,refute_0_1841]) ).
cnf(refute_0_1843,plain,
meet(join(X_158,join(X_160,X_158)),Y) = meet(join(X_158,X_160),Y),
inference(resolve,[$cnf( $equal(join(X_158,join(X_160,X_158)),join(X_158,X_160)) )],[refute_0_1839,refute_0_1842]) ).
cnf(refute_0_1844,plain,
join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) = join(X_160,meet(join(X_158,join(X_160,X_158)),Y)),
introduced(tautology,[refl,[$fot(join(X_160,meet(join(X_158,join(X_160,X_158)),Y)))]]) ).
cnf(refute_0_1845,plain,
( join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) != join(X_160,meet(join(X_158,join(X_160,X_158)),Y))
| meet(join(X_158,join(X_160,X_158)),Y) != meet(join(X_158,X_160),Y)
| join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) = join(X_160,meet(join(X_158,X_160),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_160,meet(join(X_158,join(X_160,X_158)),Y)),join(X_160,meet(join(X_158,join(X_160,X_158)),Y))) ),[1,1],$fot(meet(join(X_158,X_160),Y))]]) ).
cnf(refute_0_1846,plain,
( meet(join(X_158,join(X_160,X_158)),Y) != meet(join(X_158,X_160),Y)
| join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) = join(X_160,meet(join(X_158,X_160),Y)) ),
inference(resolve,[$cnf( $equal(join(X_160,meet(join(X_158,join(X_160,X_158)),Y)),join(X_160,meet(join(X_158,join(X_160,X_158)),Y))) )],[refute_0_1844,refute_0_1845]) ).
cnf(refute_0_1847,plain,
join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) = join(X_160,meet(join(X_158,X_160),Y)),
inference(resolve,[$cnf( $equal(meet(join(X_158,join(X_160,X_158)),Y),meet(join(X_158,X_160),Y)) )],[refute_0_1843,refute_0_1846]) ).
cnf(refute_0_1848,plain,
( join(X_160,meet(join(X_158,X_160),Y)) != join(X_160,meet(Y,X_158))
| join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) != join(X_160,meet(join(X_158,X_160),Y))
| join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) = join(X_160,meet(Y,X_158)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(X_160,meet(join(X_158,join(X_160,X_158)),Y)))),bind(Y0,$fot(join(X_160,meet(join(X_158,X_160),Y)))),bind(Z0,$fot(join(X_160,meet(Y,X_158))))]]) ).
cnf(refute_0_1849,plain,
( join(X_160,meet(join(X_158,X_160),Y)) != join(X_160,meet(Y,X_158))
| join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) = join(X_160,meet(Y,X_158)) ),
inference(resolve,[$cnf( $equal(join(X_160,meet(join(X_158,join(X_160,X_158)),Y)),join(X_160,meet(join(X_158,X_160),Y))) )],[refute_0_1847,refute_0_1848]) ).
cnf(refute_0_1850,plain,
join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) = join(X_160,meet(Y,X_158)),
inference(resolve,[$cnf( $equal(join(X_160,meet(join(X_158,X_160),Y)),join(X_160,meet(Y,X_158))) )],[refute_0_1838,refute_0_1849]) ).
cnf(refute_0_1851,plain,
meet(join(Y,X_160),join(X_158,join(X_160,X_158))) = join(X_160,meet(join(X_158,join(X_160,X_158)),Y)),
inference(subst,[],[refute_0_1661:[bind(X,$fot(X_160)),bind(Z,$fot(Y)),bind(X_74,$fot(X_158)),bind(X_76,$fot(X_158))]]) ).
cnf(refute_0_1852,plain,
join(meet(X_42,X_160),meet(Y,X_42)) = meet(X_42,join(X_160,Y)),
inference(subst,[],[refute_0_1684:[bind(X_38,$fot(X_160)),bind(X_39,$fot(X_42))]]) ).
cnf(refute_0_1853,plain,
( join(meet(X_42,X_160),meet(Y,X_42)) != join(meet(X_42,Y),meet(X_42,X_160))
| join(meet(X_42,X_160),meet(Y,X_42)) != meet(X_42,join(X_160,Y))
| meet(X_42,join(X_160,Y)) = join(meet(X_42,Y),meet(X_42,X_160)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_42,X_160),meet(Y,X_42)),join(meet(X_42,Y),meet(X_42,X_160))) ),[0],$fot(meet(X_42,join(X_160,Y)))]]) ).
cnf(refute_0_1854,plain,
( join(meet(X_42,X_160),meet(Y,X_42)) != join(meet(X_42,Y),meet(X_42,X_160))
| meet(X_42,join(X_160,Y)) = join(meet(X_42,Y),meet(X_42,X_160)) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,X_160),meet(Y,X_42)),meet(X_42,join(X_160,Y))) )],[refute_0_1852,refute_0_1853]) ).
cnf(refute_0_1855,plain,
meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77)))),
inference(subst,[],[refute_0_645:[bind(Y,$fot(X_77)),bind(X_22,$fot(X_78)),bind(X_24,$fot(join(Y,meet(join(X_78,Y),X_77))))]]) ).
cnf(refute_0_1856,plain,
join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77))) = meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77))),
inference(subst,[],[refute_0_41:[bind(X,$fot(X_78)),bind(Z,$fot(X_77))]]) ).
cnf(refute_0_1857,plain,
( join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77))) != meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77)))
| meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77))) = join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77))))),bind(Y0,$fot(meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77)))))]]) ).
cnf(refute_0_1858,plain,
meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77))) = join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77))),
inference(resolve,[$cnf( $equal(join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77))),meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77)))) )],[refute_0_1856,refute_0_1857]) ).
cnf(refute_0_1859,plain,
( meet(X_78,join(Y,meet(join(X_78,Y),X_77))) != meet(X_78,meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77))))
| meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77))) != join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_78,join(Y,meet(join(X_78,Y),X_77))),meet(X_78,meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77))))) ),[1,1],$fot(join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77))))]]) ).
cnf(refute_0_1860,plain,
( meet(X_78,join(Y,meet(join(X_78,Y),X_77))) != meet(X_78,meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77))))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77))),join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) )],[refute_0_1858,refute_0_1859]) ).
cnf(refute_0_1861,plain,
meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))),
inference(resolve,[$cnf( $equal(meet(X_78,join(Y,meet(join(X_78,Y),X_77))),meet(X_78,meet(join(X_77,X_78),join(Y,meet(join(X_78,Y),X_77))))) )],[refute_0_1855,refute_0_1860]) ).
cnf(refute_0_1862,plain,
join(meet(X_78,Y),meet(X_77,meet(Y,X_78))) = meet(X_78,Y),
inference(subst,[],[refute_0_606:[bind(Y,$fot(X_78)),bind(X_32,$fot(X_77)),bind(X_33,$fot(Y))]]) ).
cnf(refute_0_1863,plain,
meet(meet(X_77,Y),X_78) = meet(X_77,meet(Y,X_78)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_77)),bind(Z,$fot(X_78))]]) ).
cnf(refute_0_1864,plain,
join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) = join(meet(X_78,Y),meet(meet(X_77,Y),X_78)),
introduced(tautology,[refl,[$fot(join(meet(X_78,Y),meet(meet(X_77,Y),X_78)))]]) ).
cnf(refute_0_1865,plain,
( join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) != join(meet(X_78,Y),meet(meet(X_77,Y),X_78))
| meet(meet(X_77,Y),X_78) != meet(X_77,meet(Y,X_78))
| join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) = join(meet(X_78,Y),meet(X_77,meet(Y,X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_78,Y),meet(meet(X_77,Y),X_78)),join(meet(X_78,Y),meet(meet(X_77,Y),X_78))) ),[1,1],$fot(meet(X_77,meet(Y,X_78)))]]) ).
cnf(refute_0_1866,plain,
( meet(meet(X_77,Y),X_78) != meet(X_77,meet(Y,X_78))
| join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) = join(meet(X_78,Y),meet(X_77,meet(Y,X_78))) ),
inference(resolve,[$cnf( $equal(join(meet(X_78,Y),meet(meet(X_77,Y),X_78)),join(meet(X_78,Y),meet(meet(X_77,Y),X_78))) )],[refute_0_1864,refute_0_1865]) ).
cnf(refute_0_1867,plain,
join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) = join(meet(X_78,Y),meet(X_77,meet(Y,X_78))),
inference(resolve,[$cnf( $equal(meet(meet(X_77,Y),X_78),meet(X_77,meet(Y,X_78))) )],[refute_0_1863,refute_0_1866]) ).
cnf(refute_0_1868,plain,
( join(meet(X_78,Y),meet(X_77,meet(Y,X_78))) != meet(X_78,Y)
| join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) != join(meet(X_78,Y),meet(X_77,meet(Y,X_78)))
| join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) = meet(X_78,Y) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_78,Y),meet(meet(X_77,Y),X_78)))),bind(Y0,$fot(join(meet(X_78,Y),meet(X_77,meet(Y,X_78))))),bind(Z0,$fot(meet(X_78,Y)))]]) ).
cnf(refute_0_1869,plain,
( join(meet(X_78,Y),meet(X_77,meet(Y,X_78))) != meet(X_78,Y)
| join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) = meet(X_78,Y) ),
inference(resolve,[$cnf( $equal(join(meet(X_78,Y),meet(meet(X_77,Y),X_78)),join(meet(X_78,Y),meet(X_77,meet(Y,X_78)))) )],[refute_0_1867,refute_0_1868]) ).
cnf(refute_0_1870,plain,
join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) = meet(X_78,Y),
inference(resolve,[$cnf( $equal(join(meet(X_78,Y),meet(X_77,meet(Y,X_78))),meet(X_78,Y)) )],[refute_0_1862,refute_0_1869]) ).
cnf(refute_0_1871,plain,
meet(X_78,join(meet(Y,X_78),meet(X_77,Y))) = join(meet(X_78,Y),meet(meet(X_77,Y),X_78)),
inference(subst,[],[refute_0_1140:[bind(X_36,$fot(meet(X_77,Y))),bind(X_37,$fot(X_78)),bind(X_7,$fot(Y))]]) ).
cnf(refute_0_1872,plain,
( join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) != meet(X_78,Y)
| meet(X_78,join(meet(Y,X_78),meet(X_77,Y))) != join(meet(X_78,Y),meet(meet(X_77,Y),X_78))
| meet(X_78,join(meet(Y,X_78),meet(X_77,Y))) = meet(X_78,Y) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_78,join(meet(Y,X_78),meet(X_77,Y))))),bind(Y0,$fot(join(meet(X_78,Y),meet(meet(X_77,Y),X_78)))),bind(Z0,$fot(meet(X_78,Y)))]]) ).
cnf(refute_0_1873,plain,
( join(meet(X_78,Y),meet(meet(X_77,Y),X_78)) != meet(X_78,Y)
| meet(X_78,join(meet(Y,X_78),meet(X_77,Y))) = meet(X_78,Y) ),
inference(resolve,[$cnf( $equal(meet(X_78,join(meet(Y,X_78),meet(X_77,Y))),join(meet(X_78,Y),meet(meet(X_77,Y),X_78))) )],[refute_0_1871,refute_0_1872]) ).
cnf(refute_0_1874,plain,
meet(X_78,join(meet(Y,X_78),meet(X_77,Y))) = meet(X_78,Y),
inference(resolve,[$cnf( $equal(join(meet(X_78,Y),meet(meet(X_77,Y),X_78)),meet(X_78,Y)) )],[refute_0_1870,refute_0_1873]) ).
cnf(refute_0_1875,plain,
meet(Y,join(meet(X_78,Y),X_77)) = join(meet(Y,X_78),meet(X_77,Y)),
inference(subst,[],[refute_0_1140:[bind(X_36,$fot(X_77)),bind(X_37,$fot(Y)),bind(X_7,$fot(X_78))]]) ).
cnf(refute_0_1876,plain,
meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) = meet(X_78,meet(Y,join(meet(X_78,Y),X_77))),
introduced(tautology,[refl,[$fot(meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))]]) ).
cnf(refute_0_1877,plain,
( meet(Y,join(meet(X_78,Y),X_77)) != join(meet(Y,X_78),meet(X_77,Y))
| meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) != meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))
| meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) = meet(X_78,join(meet(Y,X_78),meet(X_77,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_78,meet(Y,join(meet(X_78,Y),X_77))),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) ),[1,1],$fot(join(meet(Y,X_78),meet(X_77,Y)))]]) ).
cnf(refute_0_1878,plain,
( meet(Y,join(meet(X_78,Y),X_77)) != join(meet(Y,X_78),meet(X_77,Y))
| meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) = meet(X_78,join(meet(Y,X_78),meet(X_77,Y))) ),
inference(resolve,[$cnf( $equal(meet(X_78,meet(Y,join(meet(X_78,Y),X_77))),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) )],[refute_0_1876,refute_0_1877]) ).
cnf(refute_0_1879,plain,
meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) = meet(X_78,join(meet(Y,X_78),meet(X_77,Y))),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(X_78,Y),X_77)),join(meet(Y,X_78),meet(X_77,Y))) )],[refute_0_1875,refute_0_1878]) ).
cnf(refute_0_1880,plain,
( meet(X_78,join(meet(Y,X_78),meet(X_77,Y))) != meet(X_78,Y)
| meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) != meet(X_78,join(meet(Y,X_78),meet(X_77,Y)))
| meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) = meet(X_78,Y) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))),bind(Y0,$fot(meet(X_78,join(meet(Y,X_78),meet(X_77,Y))))),bind(Z0,$fot(meet(X_78,Y)))]]) ).
cnf(refute_0_1881,plain,
( meet(X_78,join(meet(Y,X_78),meet(X_77,Y))) != meet(X_78,Y)
| meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) = meet(X_78,Y) ),
inference(resolve,[$cnf( $equal(meet(X_78,meet(Y,join(meet(X_78,Y),X_77))),meet(X_78,join(meet(Y,X_78),meet(X_77,Y)))) )],[refute_0_1879,refute_0_1880]) ).
cnf(refute_0_1882,plain,
meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) = meet(X_78,Y),
inference(resolve,[$cnf( $equal(meet(X_78,join(meet(Y,X_78),meet(X_77,Y))),meet(X_78,Y)) )],[refute_0_1874,refute_0_1881]) ).
cnf(refute_0_1883,plain,
join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))),
introduced(tautology,[refl,[$fot(join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))))]]) ).
cnf(refute_0_1884,plain,
( join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) != join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))
| meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) != meet(X_78,Y)
| join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(X_78,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))),join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))) ),[1,1],$fot(meet(X_78,Y))]]) ).
cnf(refute_0_1885,plain,
( meet(X_78,meet(Y,join(meet(X_78,Y),X_77))) != meet(X_78,Y)
| join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(X_78,Y)) ),
inference(resolve,[$cnf( $equal(join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))),join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))) )],[refute_0_1883,refute_0_1884]) ).
cnf(refute_0_1886,plain,
join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(X_78,Y)),
inference(resolve,[$cnf( $equal(meet(X_78,meet(Y,join(meet(X_78,Y),X_77))),meet(X_78,Y)) )],[refute_0_1882,refute_0_1885]) ).
cnf(refute_0_1887,plain,
join(meet(X_78,X_77),meet(meet(Y,join(meet(X_78,Y),X_77)),X_78)) = join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))),
inference(subst,[],[refute_0_483:[bind(X_119,$fot(meet(X_78,X_77))),bind(X_18,$fot(meet(Y,join(meet(X_78,Y),X_77)))),bind(X_7,$fot(X_78))]]) ).
cnf(refute_0_1888,plain,
meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(meet(Y,join(meet(X_78,Y),X_77)),X_78)),
inference(subst,[],[refute_0_1140:[bind(X_36,$fot(meet(Y,join(meet(X_78,Y),X_77)))),bind(X_37,$fot(X_78)),bind(X_7,$fot(X_77))]]) ).
cnf(refute_0_1889,plain,
( join(meet(X_78,X_77),meet(meet(Y,join(meet(X_78,Y),X_77)),X_78)) != join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))
| meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) != join(meet(X_78,X_77),meet(meet(Y,join(meet(X_78,Y),X_77)),X_78))
| meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))))),bind(Y0,$fot(join(meet(X_78,X_77),meet(meet(Y,join(meet(X_78,Y),X_77)),X_78)))),bind(Z0,$fot(join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))))]]) ).
cnf(refute_0_1890,plain,
( join(meet(X_78,X_77),meet(meet(Y,join(meet(X_78,Y),X_77)),X_78)) != join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))
| meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) ),
inference(resolve,[$cnf( $equal(meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))),join(meet(X_78,X_77),meet(meet(Y,join(meet(X_78,Y),X_77)),X_78))) )],[refute_0_1888,refute_0_1889]) ).
cnf(refute_0_1891,plain,
meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))),
inference(resolve,[$cnf( $equal(join(meet(X_78,X_77),meet(meet(Y,join(meet(X_78,Y),X_77)),X_78)),join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))) )],[refute_0_1887,refute_0_1890]) ).
cnf(refute_0_1892,plain,
( join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) != join(meet(X_78,X_77),meet(X_78,Y))
| meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) != join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))
| meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(X_78,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))))),bind(Y0,$fot(join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))))),bind(Z0,$fot(join(meet(X_78,X_77),meet(X_78,Y))))]]) ).
cnf(refute_0_1893,plain,
( join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))) != join(meet(X_78,X_77),meet(X_78,Y))
| meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(X_78,Y)) ),
inference(resolve,[$cnf( $equal(meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))),join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77))))) )],[refute_0_1891,refute_0_1892]) ).
cnf(refute_0_1894,plain,
meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) = join(meet(X_78,X_77),meet(X_78,Y)),
inference(resolve,[$cnf( $equal(join(meet(X_78,X_77),meet(X_78,meet(Y,join(meet(X_78,Y),X_77)))),join(meet(X_78,X_77),meet(X_78,Y))) )],[refute_0_1886,refute_0_1893]) ).
cnf(refute_0_1895,plain,
( meet(X_78,join(Y,meet(join(X_78,Y),X_77))) != meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77))))
| meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))) != join(meet(X_78,X_77),meet(X_78,Y))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = join(meet(X_78,X_77),meet(X_78,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_78,join(Y,meet(join(X_78,Y),X_77))),join(meet(X_78,X_77),meet(X_78,Y))) ),[0],$fot(meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))))]]) ).
cnf(refute_0_1896,plain,
( meet(X_78,join(Y,meet(join(X_78,Y),X_77))) != meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77))))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = join(meet(X_78,X_77),meet(X_78,Y)) ),
inference(resolve,[$cnf( $equal(meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77)))),join(meet(X_78,X_77),meet(X_78,Y))) )],[refute_0_1894,refute_0_1895]) ).
cnf(refute_0_1897,plain,
meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = join(meet(X_78,X_77),meet(X_78,Y)),
inference(resolve,[$cnf( $equal(meet(X_78,join(Y,meet(join(X_78,Y),X_77))),meet(X_78,join(meet(X_77,X_78),meet(Y,join(meet(X_78,Y),X_77))))) )],[refute_0_1861,refute_0_1896]) ).
cnf(refute_0_1898,plain,
join(meet(X_156,Y),meet(X,X_156)) = meet(X_156,join(Y,X)),
inference(subst,[],[refute_0_1684:[bind(Y,$fot(X)),bind(X_38,$fot(Y)),bind(X_39,$fot(X_156))]]) ).
cnf(refute_0_1899,plain,
( join(meet(X_156,Y),meet(X,X_156)) != meet(X_156,join(Y,X))
| meet(X_156,join(X,meet(Y,X_156))) != join(meet(X_156,Y),meet(X,X_156))
| meet(X_156,join(X,meet(Y,X_156))) = meet(X_156,join(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_156,join(X,meet(Y,X_156))),join(meet(X_156,Y),meet(X,X_156))) ),[1],$fot(meet(X_156,join(Y,X)))]]) ).
cnf(refute_0_1900,plain,
( meet(X_156,join(X,meet(Y,X_156))) != join(meet(X_156,Y),meet(X,X_156))
| meet(X_156,join(X,meet(Y,X_156))) = meet(X_156,join(Y,X)) ),
inference(resolve,[$cnf( $equal(join(meet(X_156,Y),meet(X,X_156)),meet(X_156,join(Y,X))) )],[refute_0_1898,refute_0_1899]) ).
cnf(refute_0_1901,plain,
meet(X_156,join(X,meet(Y,X_156))) = meet(X_156,join(Y,X)),
inference(resolve,[$cnf( $equal(meet(X_156,join(X,meet(Y,X_156))),join(meet(X_156,Y),meet(X,X_156))) )],[refute_0_1675,refute_0_1900]) ).
cnf(refute_0_1902,plain,
meet(X_78,join(Y,meet(X_77,X_78))) = meet(X_78,join(X_77,Y)),
inference(subst,[],[refute_0_1901:[bind(X,$fot(Y)),bind(Y,$fot(X_77)),bind(X_156,$fot(X_78))]]) ).
cnf(refute_0_1903,plain,
join(Y,meet(join(X_78,Y),X_77)) = join(Y,meet(X_77,X_78)),
inference(subst,[],[refute_0_1830:[bind(Y,$fot(X_78)),bind(X_107,$fot(X_77)),bind(X_109,$fot(Y))]]) ).
cnf(refute_0_1904,plain,
meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,join(Y,meet(join(X_78,Y),X_77))),
introduced(tautology,[refl,[$fot(meet(X_78,join(Y,meet(join(X_78,Y),X_77))))]]) ).
cnf(refute_0_1905,plain,
( join(Y,meet(join(X_78,Y),X_77)) != join(Y,meet(X_77,X_78))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) != meet(X_78,join(Y,meet(join(X_78,Y),X_77)))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,join(Y,meet(X_77,X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_78,join(Y,meet(join(X_78,Y),X_77))),meet(X_78,join(Y,meet(join(X_78,Y),X_77)))) ),[1,1],$fot(join(Y,meet(X_77,X_78)))]]) ).
cnf(refute_0_1906,plain,
( join(Y,meet(join(X_78,Y),X_77)) != join(Y,meet(X_77,X_78))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,join(Y,meet(X_77,X_78))) ),
inference(resolve,[$cnf( $equal(meet(X_78,join(Y,meet(join(X_78,Y),X_77))),meet(X_78,join(Y,meet(join(X_78,Y),X_77)))) )],[refute_0_1904,refute_0_1905]) ).
cnf(refute_0_1907,plain,
meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,join(Y,meet(X_77,X_78))),
inference(resolve,[$cnf( $equal(join(Y,meet(join(X_78,Y),X_77)),join(Y,meet(X_77,X_78))) )],[refute_0_1903,refute_0_1906]) ).
cnf(refute_0_1908,plain,
( meet(X_78,join(Y,meet(X_77,X_78))) != meet(X_78,join(X_77,Y))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) != meet(X_78,join(Y,meet(X_77,X_78)))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,join(X_77,Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_78,join(Y,meet(join(X_78,Y),X_77))))),bind(Y0,$fot(meet(X_78,join(Y,meet(X_77,X_78))))),bind(Z0,$fot(meet(X_78,join(X_77,Y))))]]) ).
cnf(refute_0_1909,plain,
( meet(X_78,join(Y,meet(X_77,X_78))) != meet(X_78,join(X_77,Y))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,join(X_77,Y)) ),
inference(resolve,[$cnf( $equal(meet(X_78,join(Y,meet(join(X_78,Y),X_77))),meet(X_78,join(Y,meet(X_77,X_78)))) )],[refute_0_1907,refute_0_1908]) ).
cnf(refute_0_1910,plain,
meet(X_78,join(Y,meet(join(X_78,Y),X_77))) = meet(X_78,join(X_77,Y)),
inference(resolve,[$cnf( $equal(meet(X_78,join(Y,meet(X_77,X_78))),meet(X_78,join(X_77,Y))) )],[refute_0_1902,refute_0_1909]) ).
cnf(refute_0_1911,plain,
( meet(X_78,join(Y,meet(join(X_78,Y),X_77))) != join(meet(X_78,X_77),meet(X_78,Y))
| meet(X_78,join(Y,meet(join(X_78,Y),X_77))) != meet(X_78,join(X_77,Y))
| meet(X_78,join(X_77,Y)) = join(meet(X_78,X_77),meet(X_78,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_78,join(Y,meet(join(X_78,Y),X_77))),join(meet(X_78,X_77),meet(X_78,Y))) ),[0],$fot(meet(X_78,join(X_77,Y)))]]) ).
cnf(refute_0_1912,plain,
( meet(X_78,join(Y,meet(join(X_78,Y),X_77))) != join(meet(X_78,X_77),meet(X_78,Y))
| meet(X_78,join(X_77,Y)) = join(meet(X_78,X_77),meet(X_78,Y)) ),
inference(resolve,[$cnf( $equal(meet(X_78,join(Y,meet(join(X_78,Y),X_77))),meet(X_78,join(X_77,Y))) )],[refute_0_1910,refute_0_1911]) ).
cnf(refute_0_1913,plain,
meet(X_78,join(X_77,Y)) = join(meet(X_78,X_77),meet(X_78,Y)),
inference(resolve,[$cnf( $equal(meet(X_78,join(Y,meet(join(X_78,Y),X_77))),join(meet(X_78,X_77),meet(X_78,Y))) )],[refute_0_1897,refute_0_1912]) ).
cnf(refute_0_1914,plain,
( meet(X_78,join(X_77,Y)) != join(meet(X_78,X_77),meet(X_78,Y))
| join(meet(X_78,X_77),meet(X_78,Y)) = meet(X_78,join(X_77,Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_78,join(X_77,Y)))),bind(Y0,$fot(join(meet(X_78,X_77),meet(X_78,Y))))]]) ).
cnf(refute_0_1915,plain,
join(meet(X_78,X_77),meet(X_78,Y)) = meet(X_78,join(X_77,Y)),
inference(resolve,[$cnf( $equal(meet(X_78,join(X_77,Y)),join(meet(X_78,X_77),meet(X_78,Y))) )],[refute_0_1913,refute_0_1914]) ).
cnf(refute_0_1916,plain,
join(meet(X_42,Y),meet(X_42,X_160)) = meet(X_42,join(Y,X_160)),
inference(subst,[],[refute_0_1915:[bind(Y,$fot(X_160)),bind(X_77,$fot(Y)),bind(X_78,$fot(X_42))]]) ).
cnf(refute_0_1917,plain,
( join(meet(X_42,Y),meet(X_42,X_160)) != meet(X_42,join(Y,X_160))
| meet(X_42,join(X_160,Y)) != join(meet(X_42,Y),meet(X_42,X_160))
| meet(X_42,join(X_160,Y)) = meet(X_42,join(Y,X_160)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,join(X_160,Y)),join(meet(X_42,Y),meet(X_42,X_160))) ),[1],$fot(meet(X_42,join(Y,X_160)))]]) ).
cnf(refute_0_1918,plain,
( meet(X_42,join(X_160,Y)) != join(meet(X_42,Y),meet(X_42,X_160))
| meet(X_42,join(X_160,Y)) = meet(X_42,join(Y,X_160)) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,Y),meet(X_42,X_160)),meet(X_42,join(Y,X_160))) )],[refute_0_1916,refute_0_1917]) ).
cnf(refute_0_1919,plain,
( join(meet(X_42,X_160),meet(Y,X_42)) != join(meet(X_42,Y),meet(X_42,X_160))
| meet(X_42,join(X_160,Y)) = meet(X_42,join(Y,X_160)) ),
inference(resolve,[$cnf( $equal(meet(X_42,join(X_160,Y)),join(meet(X_42,Y),meet(X_42,X_160))) )],[refute_0_1854,refute_0_1918]) ).
cnf(refute_0_1920,plain,
meet(X_42,join(X_160,Y)) = meet(X_42,join(Y,X_160)),
inference(resolve,[$cnf( $equal(join(meet(X_42,X_160),meet(Y,X_42)),join(meet(X_42,Y),meet(X_42,X_160))) )],[refute_0_1458,refute_0_1919]) ).
cnf(refute_0_1921,plain,
( meet(X_42,join(X_160,Y)) != meet(X_42,join(Y,X_160))
| meet(X_42,join(Y,X_160)) = meet(X_42,join(X_160,Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_42,join(X_160,Y)))),bind(Y0,$fot(meet(X_42,join(Y,X_160))))]]) ).
cnf(refute_0_1922,plain,
meet(X_42,join(Y,X_160)) = meet(X_42,join(X_160,Y)),
inference(resolve,[$cnf( $equal(meet(X_42,join(X_160,Y)),meet(X_42,join(Y,X_160))) )],[refute_0_1920,refute_0_1921]) ).
cnf(refute_0_1923,plain,
meet(join(Y,X_160),join(join(X_160,X_158),X_158)) = meet(join(Y,X_160),join(X_158,join(X_160,X_158))),
inference(subst,[],[refute_0_1922:[bind(Y,$fot(join(X_160,X_158))),bind(X_160,$fot(X_158)),bind(X_42,$fot(join(Y,X_160)))]]) ).
cnf(refute_0_1924,plain,
( meet(join(Y,X_160),join(X_158,join(X_160,X_158))) != join(X_160,meet(join(X_158,join(X_160,X_158)),Y))
| meet(join(Y,X_160),join(join(X_160,X_158),X_158)) != meet(join(Y,X_160),join(X_158,join(X_160,X_158)))
| meet(join(Y,X_160),join(join(X_160,X_158),X_158)) = join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(Y,X_160),join(join(X_160,X_158),X_158)))),bind(Y0,$fot(meet(join(Y,X_160),join(X_158,join(X_160,X_158))))),bind(Z0,$fot(join(X_160,meet(join(X_158,join(X_160,X_158)),Y))))]]) ).
cnf(refute_0_1925,plain,
( meet(join(Y,X_160),join(X_158,join(X_160,X_158))) != join(X_160,meet(join(X_158,join(X_160,X_158)),Y))
| meet(join(Y,X_160),join(join(X_160,X_158),X_158)) = join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_160),join(join(X_160,X_158),X_158)),meet(join(Y,X_160),join(X_158,join(X_160,X_158)))) )],[refute_0_1923,refute_0_1924]) ).
cnf(refute_0_1926,plain,
meet(join(Y,X_160),join(join(X_160,X_158),X_158)) = join(X_160,meet(join(X_158,join(X_160,X_158)),Y)),
inference(resolve,[$cnf( $equal(meet(join(Y,X_160),join(X_158,join(X_160,X_158))),join(X_160,meet(join(X_158,join(X_160,X_158)),Y))) )],[refute_0_1851,refute_0_1925]) ).
cnf(refute_0_1927,plain,
join(meet(X_22,X_160),meet(X_158,X_22)) = meet(X_22,join(X_160,X_158)),
inference(subst,[],[refute_0_1684:[bind(Y,$fot(X_158)),bind(X_38,$fot(X_160)),bind(X_39,$fot(X_22))]]) ).
cnf(refute_0_1928,plain,
( join(meet(X_22,X_160),meet(X_158,X_22)) != meet(X_22,join(X_158,meet(X_22,X_160)))
| join(meet(X_22,X_160),meet(X_158,X_22)) != meet(X_22,join(X_160,X_158))
| meet(X_22,join(X_160,X_158)) = meet(X_22,join(X_158,meet(X_22,X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_22,X_160),meet(X_158,X_22)),meet(X_22,join(X_158,meet(X_22,X_160)))) ),[0],$fot(meet(X_22,join(X_160,X_158)))]]) ).
cnf(refute_0_1929,plain,
( join(meet(X_22,X_160),meet(X_158,X_22)) != meet(X_22,join(X_158,meet(X_22,X_160)))
| meet(X_22,join(X_160,X_158)) = meet(X_22,join(X_158,meet(X_22,X_160))) ),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_160),meet(X_158,X_22)),meet(X_22,join(X_160,X_158))) )],[refute_0_1927,refute_0_1928]) ).
cnf(refute_0_1930,plain,
meet(X_22,join(X_160,X_158)) = meet(X_22,join(X_158,meet(X_22,X_160))),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_160),meet(X_158,X_22)),meet(X_22,join(X_158,meet(X_22,X_160)))) )],[refute_0_1046,refute_0_1929]) ).
cnf(refute_0_1931,plain,
( meet(X_22,join(X_160,X_158)) != meet(X_22,join(X_158,meet(X_22,X_160)))
| meet(X_22,join(X_158,meet(X_22,X_160))) = meet(X_22,join(X_160,X_158)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_22,join(X_160,X_158)))),bind(Y0,$fot(meet(X_22,join(X_158,meet(X_22,X_160)))))]]) ).
cnf(refute_0_1932,plain,
meet(X_22,join(X_158,meet(X_22,X_160))) = meet(X_22,join(X_160,X_158)),
inference(resolve,[$cnf( $equal(meet(X_22,join(X_160,X_158)),meet(X_22,join(X_158,meet(X_22,X_160)))) )],[refute_0_1930,refute_0_1931]) ).
cnf(refute_0_1933,plain,
meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) = meet(join(Y,X_160),join(join(X_160,X_158),X_158)),
inference(subst,[],[refute_0_1932:[bind(X_160,$fot(join(X_160,X_158))),bind(X_22,$fot(join(Y,X_160)))]]) ).
cnf(refute_0_1934,plain,
( meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) != meet(join(Y,X_160),join(join(X_160,X_158),X_158))
| meet(join(Y,X_160),join(join(X_160,X_158),X_158)) != join(X_160,meet(join(X_158,join(X_160,X_158)),Y))
| meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) = join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))))),bind(Y0,$fot(meet(join(Y,X_160),join(join(X_160,X_158),X_158)))),bind(Z0,$fot(join(X_160,meet(join(X_158,join(X_160,X_158)),Y))))]]) ).
cnf(refute_0_1935,plain,
( meet(join(Y,X_160),join(join(X_160,X_158),X_158)) != join(X_160,meet(join(X_158,join(X_160,X_158)),Y))
| meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) = join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))),meet(join(Y,X_160),join(join(X_160,X_158),X_158))) )],[refute_0_1933,refute_0_1934]) ).
cnf(refute_0_1936,plain,
meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) = join(X_160,meet(join(X_158,join(X_160,X_158)),Y)),
inference(resolve,[$cnf( $equal(meet(join(Y,X_160),join(join(X_160,X_158),X_158)),join(X_160,meet(join(X_158,join(X_160,X_158)),Y))) )],[refute_0_1926,refute_0_1935]) ).
cnf(refute_0_1937,plain,
( join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) != join(X_160,meet(Y,X_158))
| meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) != join(X_160,meet(join(X_158,join(X_160,X_158)),Y))
| meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) = join(X_160,meet(Y,X_158)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))))),bind(Y0,$fot(join(X_160,meet(join(X_158,join(X_160,X_158)),Y)))),bind(Z0,$fot(join(X_160,meet(Y,X_158))))]]) ).
cnf(refute_0_1938,plain,
( join(X_160,meet(join(X_158,join(X_160,X_158)),Y)) != join(X_160,meet(Y,X_158))
| meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) = join(X_160,meet(Y,X_158)) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))),join(X_160,meet(join(X_158,join(X_160,X_158)),Y))) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) = join(X_160,meet(Y,X_158)),
inference(resolve,[$cnf( $equal(join(X_160,meet(join(X_158,join(X_160,X_158)),Y)),join(X_160,meet(Y,X_158))) )],[refute_0_1850,refute_0_1938]) ).
cnf(refute_0_1940,plain,
( join(X_160,meet(X_158,Y)) != meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))
| meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))) != join(X_160,meet(Y,X_158))
| join(X_160,meet(X_158,Y)) = join(X_160,meet(Y,X_158)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_160,meet(X_158,Y)),join(X_160,meet(Y,X_158))) ),[0],$fot(meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))))]]) ).
cnf(refute_0_1941,plain,
( join(X_160,meet(X_158,Y)) != meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))
| join(X_160,meet(X_158,Y)) = join(X_160,meet(Y,X_158)) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158)))),join(X_160,meet(Y,X_158))) )],[refute_0_1939,refute_0_1940]) ).
cnf(refute_0_1942,plain,
( join(X_160,meet(X_158,join(Y,X_160))) != meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))
| join(X_160,meet(X_158,Y)) = join(X_160,meet(Y,X_158)) ),
inference(resolve,[$cnf( $equal(join(X_160,meet(X_158,Y)),meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))) )],[refute_0_1837,refute_0_1941]) ).
cnf(refute_0_1943,plain,
join(X_160,meet(X_158,Y)) = join(X_160,meet(Y,X_158)),
inference(resolve,[$cnf( $equal(join(X_160,meet(X_158,join(Y,X_160))),meet(join(Y,X_160),join(X_158,meet(join(Y,X_160),join(X_160,X_158))))) )],[refute_0_320,refute_0_1942]) ).
cnf(refute_0_1944,plain,
( join(X_160,meet(X_158,Y)) != join(X_160,meet(Y,X_158))
| join(X_160,meet(Y,X_158)) = join(X_160,meet(X_158,Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_160,meet(X_158,Y)))),bind(Y0,$fot(join(X_160,meet(Y,X_158))))]]) ).
cnf(refute_0_1945,plain,
join(X_160,meet(Y,X_158)) = join(X_160,meet(X_158,Y)),
inference(resolve,[$cnf( $equal(join(X_160,meet(X_158,Y)),join(X_160,meet(Y,X_158))) )],[refute_0_1943,refute_0_1944]) ).
cnf(refute_0_1946,plain,
join(X_214,meet(meet(X_215,join(X_213,X_25)),X_213)) = join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))),
inference(subst,[],[refute_0_1945:[bind(Y,$fot(meet(X_215,join(X_213,X_25)))),bind(X_158,$fot(X_213)),bind(X_160,$fot(X_214))]]) ).
cnf(refute_0_1947,plain,
meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)) = join(X_214,meet(meet(X_215,join(X_213,X_25)),X_213)),
inference(subst,[],[refute_0_1793:[bind(Y,$fot(X_213)),bind(X_36,$fot(meet(X_215,join(X_213,X_25)))),bind(X_37,$fot(X_214))]]) ).
cnf(refute_0_1948,plain,
( join(X_214,meet(meet(X_215,join(X_213,X_25)),X_213)) != join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))
| meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)) != join(X_214,meet(meet(X_215,join(X_213,X_25)),X_213))
| meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)) = join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)))),bind(Y0,$fot(join(X_214,meet(meet(X_215,join(X_213,X_25)),X_213)))),bind(Z0,$fot(join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))))]]) ).
cnf(refute_0_1949,plain,
( join(X_214,meet(meet(X_215,join(X_213,X_25)),X_213)) != join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))
| meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)) = join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)),join(X_214,meet(meet(X_215,join(X_213,X_25)),X_213))) )],[refute_0_1947,refute_0_1948]) ).
cnf(refute_0_1950,plain,
meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)) = join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))),
inference(resolve,[$cnf( $equal(join(X_214,meet(meet(X_215,join(X_213,X_25)),X_213)),join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))) )],[refute_0_1946,refute_0_1949]) ).
cnf(refute_0_1951,plain,
meet(X_105,join(meet(X_190,X_189),Y)) = meet(join(Y,meet(X_190,X_189)),X_105),
inference(subst,[],[refute_0_1715:[bind(X_14,$fot(meet(X_190,X_189)))]]) ).
cnf(refute_0_1952,plain,
join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))))) = join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),
inference(subst,[],[refute_0_325:[bind(X_25,$fot(meet(X_144,X_145))),bind(X_26,$fot(join(meet(X_145,X_144),X_143)))]]) ).
cnf(refute_0_1953,plain,
( join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))))) != join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))
| join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) != join(meet(X_144,X_145),X_143)
| join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) = join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))))),join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) ),[0,1,1,1],$fot(join(meet(X_144,X_145),X_143))]]) ).
cnf(refute_0_1954,plain,
( join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))))) != join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))
| join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) = join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),join(meet(X_144,X_145),X_143)) )],[refute_0_1204,refute_0_1953]) ).
cnf(refute_0_1955,plain,
join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) = join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))))),join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) )],[refute_0_1952,refute_0_1954]) ).
cnf(refute_0_1956,plain,
( join(meet(X_30,X_31),Z) != join(meet(X_30,X_31),join(meet(X_31,X_30),Z))
| join(meet(X_30,X_31),join(meet(X_31,X_30),Z)) = join(meet(X_30,X_31),Z) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_30,X_31),Z))),bind(Y0,$fot(join(meet(X_30,X_31),join(meet(X_31,X_30),Z))))]]) ).
cnf(refute_0_1957,plain,
join(meet(X_30,X_31),join(meet(X_31,X_30),Z)) = join(meet(X_30,X_31),Z),
inference(resolve,[$cnf( $equal(join(meet(X_30,X_31),Z),join(meet(X_30,X_31),join(meet(X_31,X_30),Z))) )],[refute_0_1201,refute_0_1956]) ).
cnf(refute_0_1958,plain,
join(meet(X_145,X_144),join(meet(X_144,X_145),X_143)) = join(meet(X_145,X_144),X_143),
inference(subst,[],[refute_0_1957:[bind(Z,$fot(X_143)),bind(X_30,$fot(X_145)),bind(X_31,$fot(X_144))]]) ).
cnf(refute_0_1959,plain,
join(X_26,join(X_25,join(X_72,meet(X_73,join(X_26,X_72))))) = join(X_25,join(X_26,join(X_72,meet(X_73,join(X_26,X_72))))),
inference(subst,[],[refute_0_374:[bind(X_27,$fot(join(X_72,meet(X_73,join(X_26,X_72)))))]]) ).
cnf(refute_0_1960,plain,
join(X_26,join(X_72,meet(X_73,join(X_26,X_72)))) = join(X_26,X_72),
inference(subst,[],[refute_0_325:[bind(X_25,$fot(X_26)),bind(X_26,$fot(X_72)),bind(X_7,$fot(X_73))]]) ).
cnf(refute_0_1961,plain,
( join(X_26,join(X_25,join(X_72,meet(X_73,join(X_26,X_72))))) != join(X_25,join(X_26,join(X_72,meet(X_73,join(X_26,X_72)))))
| join(X_26,join(X_72,meet(X_73,join(X_26,X_72)))) != join(X_26,X_72)
| join(X_26,join(X_25,join(X_72,meet(X_73,join(X_26,X_72))))) = join(X_25,join(X_26,X_72)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_26,join(X_25,join(X_72,meet(X_73,join(X_26,X_72))))),join(X_25,join(X_26,join(X_72,meet(X_73,join(X_26,X_72)))))) ),[1,1],$fot(join(X_26,X_72))]]) ).
cnf(refute_0_1962,plain,
( join(X_26,join(X_25,join(X_72,meet(X_73,join(X_26,X_72))))) != join(X_25,join(X_26,join(X_72,meet(X_73,join(X_26,X_72)))))
| join(X_26,join(X_25,join(X_72,meet(X_73,join(X_26,X_72))))) = join(X_25,join(X_26,X_72)) ),
inference(resolve,[$cnf( $equal(join(X_26,join(X_72,meet(X_73,join(X_26,X_72)))),join(X_26,X_72)) )],[refute_0_1960,refute_0_1961]) ).
cnf(refute_0_1963,plain,
join(X_26,join(X_25,join(X_72,meet(X_73,join(X_26,X_72))))) = join(X_25,join(X_26,X_72)),
inference(resolve,[$cnf( $equal(join(X_26,join(X_25,join(X_72,meet(X_73,join(X_26,X_72))))),join(X_25,join(X_26,join(X_72,meet(X_73,join(X_26,X_72)))))) )],[refute_0_1959,refute_0_1962]) ).
cnf(refute_0_1964,plain,
join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))) = join(meet(X_145,X_144),join(meet(X_144,X_145),X_143)),
inference(subst,[],[refute_0_1963:[bind(X_25,$fot(meet(X_145,X_144))),bind(X_26,$fot(meet(X_144,X_145))),bind(X_72,$fot(X_143)),bind(X_73,$fot(X_7))]]) ).
cnf(refute_0_1965,plain,
( join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))) != join(meet(X_145,X_144),join(meet(X_144,X_145),X_143))
| join(meet(X_145,X_144),join(meet(X_144,X_145),X_143)) != join(meet(X_145,X_144),X_143)
| join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))) = join(meet(X_145,X_144),X_143) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))))),bind(Y0,$fot(join(meet(X_145,X_144),join(meet(X_144,X_145),X_143)))),bind(Z0,$fot(join(meet(X_145,X_144),X_143)))]]) ).
cnf(refute_0_1966,plain,
( join(meet(X_145,X_144),join(meet(X_144,X_145),X_143)) != join(meet(X_145,X_144),X_143)
| join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))) = join(meet(X_145,X_144),X_143) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))),join(meet(X_145,X_144),join(meet(X_144,X_145),X_143))) )],[refute_0_1964,refute_0_1965]) ).
cnf(refute_0_1967,plain,
join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))) = join(meet(X_145,X_144),X_143),
inference(resolve,[$cnf( $equal(join(meet(X_145,X_144),join(meet(X_144,X_145),X_143)),join(meet(X_145,X_144),X_143)) )],[refute_0_1958,refute_0_1966]) ).
cnf(refute_0_1968,plain,
join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143))) = join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143)))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_145,X_144))),bind(Y,$fot(X_143)),bind(Z,$fot(meet(X_7,join(meet(X_144,X_145),X_143))))]]) ).
cnf(refute_0_1969,plain,
join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) = join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))),
introduced(tautology,[refl,[$fot(join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))))]]) ).
cnf(refute_0_1970,plain,
( join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143))) != join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))
| join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) != join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143))))
| join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) = join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))),join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143))))) ),[1,1],$fot(join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143)))))]]) ).
cnf(refute_0_1971,plain,
( join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143))) != join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))
| join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) = join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))),join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143))))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) = join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))),
inference(resolve,[$cnf( $equal(join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143))),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))) )],[refute_0_1968,refute_0_1971]) ).
cnf(refute_0_1973,plain,
( join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) != join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143)))))
| join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))) != join(meet(X_145,X_144),X_143)
| join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) = join(meet(X_145,X_144),X_143) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))))),bind(Y0,$fot(join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))))),bind(Z0,$fot(join(meet(X_145,X_144),X_143)))]]) ).
cnf(refute_0_1974,plain,
( join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))) != join(meet(X_145,X_144),X_143)
| join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) = join(meet(X_145,X_144),X_143) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))),join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143)))))) )],[refute_0_1972,refute_0_1973]) ).
cnf(refute_0_1975,plain,
join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) = join(meet(X_145,X_144),X_143),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(meet(X_145,X_144),join(X_143,meet(X_7,join(meet(X_144,X_145),X_143))))),join(meet(X_145,X_144),X_143)) )],[refute_0_1967,refute_0_1974]) ).
cnf(refute_0_1976,plain,
( join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) != join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))
| join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) != join(meet(X_145,X_144),X_143)
| join(meet(X_145,X_144),X_143) = join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))),join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) ),[0],$fot(join(meet(X_145,X_144),X_143))]]) ).
cnf(refute_0_1977,plain,
( join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) != join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))
| join(meet(X_145,X_144),X_143) = join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))),join(meet(X_145,X_144),X_143)) )],[refute_0_1975,refute_0_1976]) ).
cnf(refute_0_1978,plain,
( join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) != join(meet(X_144,X_145),X_143)
| join(meet(X_145,X_144),X_143) != join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))
| join(meet(X_145,X_144),X_143) = join(meet(X_144,X_145),X_143) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_145,X_144),X_143),join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) ),[1],$fot(join(meet(X_144,X_145),X_143))]]) ).
cnf(refute_0_1979,plain,
( join(meet(X_145,X_144),X_143) != join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))
| join(meet(X_145,X_144),X_143) = join(meet(X_144,X_145),X_143) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),join(meet(X_144,X_145),X_143)) )],[refute_0_1204,refute_0_1978]) ).
cnf(refute_0_1980,plain,
( join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))) != join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))
| join(meet(X_145,X_144),X_143) = join(meet(X_144,X_145),X_143) ),
inference(resolve,[$cnf( $equal(join(meet(X_145,X_144),X_143),join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) )],[refute_0_1977,refute_0_1979]) ).
cnf(refute_0_1981,plain,
join(meet(X_145,X_144),X_143) = join(meet(X_144,X_145),X_143),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(join(meet(X_145,X_144),X_143),meet(X_7,join(meet(X_144,X_145),X_143)))),join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) )],[refute_0_1955,refute_0_1980]) ).
cnf(refute_0_1982,plain,
join(meet(X_190,X_189),Y) = join(meet(X_189,X_190),Y),
inference(subst,[],[refute_0_1981:[bind(X_143,$fot(Y)),bind(X_144,$fot(X_189)),bind(X_145,$fot(X_190))]]) ).
cnf(refute_0_1983,plain,
( join(meet(X_190,X_189),Y) != join(meet(X_189,X_190),Y)
| meet(X_105,join(meet(X_190,X_189),Y)) != meet(join(Y,meet(X_190,X_189)),X_105)
| meet(X_105,join(meet(X_189,X_190),Y)) = meet(join(Y,meet(X_190,X_189)),X_105) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_105,join(meet(X_190,X_189),Y)),meet(join(Y,meet(X_190,X_189)),X_105)) ),[0,1],$fot(join(meet(X_189,X_190),Y))]]) ).
cnf(refute_0_1984,plain,
( meet(X_105,join(meet(X_190,X_189),Y)) != meet(join(Y,meet(X_190,X_189)),X_105)
| meet(X_105,join(meet(X_189,X_190),Y)) = meet(join(Y,meet(X_190,X_189)),X_105) ),
inference(resolve,[$cnf( $equal(join(meet(X_190,X_189),Y),join(meet(X_189,X_190),Y)) )],[refute_0_1982,refute_0_1983]) ).
cnf(refute_0_1985,plain,
meet(X_105,join(meet(X_189,X_190),Y)) = meet(join(Y,meet(X_190,X_189)),X_105),
inference(resolve,[$cnf( $equal(meet(X_105,join(meet(X_190,X_189),Y)),meet(join(Y,meet(X_190,X_189)),X_105)) )],[refute_0_1951,refute_0_1984]) ).
cnf(refute_0_1986,plain,
( meet(X_105,join(meet(X_189,X_190),Y)) != meet(join(Y,meet(X_190,X_189)),X_105)
| meet(join(Y,meet(X_190,X_189)),X_105) = meet(X_105,join(meet(X_189,X_190),Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_105,join(meet(X_189,X_190),Y)))),bind(Y0,$fot(meet(join(Y,meet(X_190,X_189)),X_105)))]]) ).
cnf(refute_0_1987,plain,
meet(join(Y,meet(X_190,X_189)),X_105) = meet(X_105,join(meet(X_189,X_190),Y)),
inference(resolve,[$cnf( $equal(meet(X_105,join(meet(X_189,X_190),Y)),meet(join(Y,meet(X_190,X_189)),X_105)) )],[refute_0_1985,refute_0_1986]) ).
cnf(refute_0_1988,plain,
meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) = meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)),
inference(subst,[],[refute_0_1987:[bind(Y,$fot(X_214)),bind(X_105,$fot(join(X_214,X_213))),bind(X_189,$fot(X_215)),bind(X_190,$fot(join(X_213,X_25)))]]) ).
cnf(refute_0_1989,plain,
( meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)) != join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))
| meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) != meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214))
| meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) = join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)))),bind(Y0,$fot(meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)))),bind(Z0,$fot(join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))))]]) ).
cnf(refute_0_1990,plain,
( meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)) != join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))
| meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) = join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)),meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214))) )],[refute_0_1988,refute_0_1989]) ).
cnf(refute_0_1991,plain,
meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) = join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),join(meet(X_215,join(X_213,X_25)),X_214)),join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))) )],[refute_0_1950,refute_0_1990]) ).
cnf(refute_0_1992,plain,
( join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) != join(X_214,meet(X_213,X_215))
| meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) != join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))
| meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) = join(X_214,meet(X_213,X_215)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)))),bind(Y0,$fot(join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))))),bind(Z0,$fot(join(X_214,meet(X_213,X_215))))]]) ).
cnf(refute_0_1993,plain,
( join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))) != join(X_214,meet(X_213,X_215))
| meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) = join(X_214,meet(X_213,X_215)) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)),join(X_214,meet(X_213,meet(X_215,join(X_213,X_25))))) )],[refute_0_1991,refute_0_1992]) ).
cnf(refute_0_1994,plain,
meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) = join(X_214,meet(X_213,X_215)),
inference(resolve,[$cnf( $equal(join(X_214,meet(X_213,meet(X_215,join(X_213,X_25)))),join(X_214,meet(X_213,X_215))) )],[refute_0_218,refute_0_1993]) ).
cnf(refute_0_1995,plain,
meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) = meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),
inference(subst,[],[refute_0_409:[bind(Y,$fot(meet(X_215,X_214))),bind(X_41,$fot(meet(join(X_214,X_213),join(X_214,X_215))))]]) ).
cnf(refute_0_1996,plain,
( join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))) != meet(join(X_215,X_214),join(X_214,X_213))
| meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) != meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))
| meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) = meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))) ),[1,1,1],$fot(meet(join(X_215,X_214),join(X_214,X_213)))]]) ).
cnf(refute_0_1997,plain,
( meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) != meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))
| meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) = meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(X_215,X_214),join(X_214,X_213))) )],[refute_0_103,refute_0_1996]) ).
cnf(refute_0_1998,plain,
meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) = meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))) )],[refute_0_1995,refute_0_1997]) ).
cnf(refute_0_1999,plain,
meet(X_105,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))) = meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105),
inference(subst,[],[refute_0_1715:[bind(Y,$fot(meet(join(X_214,X_213),join(X_214,X_215)))),bind(X_14,$fot(meet(X_215,X_214)))]]) ).
cnf(refute_0_2000,plain,
( join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))) != meet(join(X_215,X_214),join(X_214,X_213))
| meet(X_105,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))) != meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105)
| meet(X_105,meet(join(X_215,X_214),join(X_214,X_213))) = meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_105,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105)) ),[0,1],$fot(meet(join(X_215,X_214),join(X_214,X_213)))]]) ).
cnf(refute_0_2001,plain,
( meet(X_105,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))) != meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105)
| meet(X_105,meet(join(X_215,X_214),join(X_214,X_213))) = meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105) ),
inference(resolve,[$cnf( $equal(join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(X_215,X_214),join(X_214,X_213))) )],[refute_0_103,refute_0_2000]) ).
cnf(refute_0_2002,plain,
meet(X_105,meet(join(X_215,X_214),join(X_214,X_213))) = meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105),
inference(resolve,[$cnf( $equal(meet(X_105,join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105)) )],[refute_0_1999,refute_0_2001]) ).
cnf(refute_0_2003,plain,
join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = meet(join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)),
inference(subst,[],[refute_0_102:[bind(X_35,$fot(meet(join(X_214,X_213),join(X_214,X_215)))),bind(X_37,$fot(meet(X_215,X_214)))]]) ).
cnf(refute_0_2004,plain,
( join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))) != meet(join(X_215,X_214),join(X_214,X_213))
| join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != meet(join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))
| join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),meet(join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) ),[1,0],$fot(meet(join(X_215,X_214),join(X_214,X_213)))]]) ).
cnf(refute_0_2005,plain,
( join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != meet(join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))
| join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) ),
inference(resolve,[$cnf( $equal(join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(X_215,X_214),join(X_214,X_213))) )],[refute_0_103,refute_0_2004]) ).
cnf(refute_0_2006,plain,
join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),meet(join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) )],[refute_0_2003,refute_0_2005]) ).
cnf(refute_0_2007,plain,
join(meet(X_101,X_103),join(X_117,meet(X_118,meet(X_101,X_103)))) = join(meet(X_101,X_103),X_117),
inference(subst,[],[refute_0_425:[bind(Y,$fot(X_117)),bind(X_32,$fot(X_118)),bind(X_33,$fot(meet(X_101,X_103)))]]) ).
cnf(refute_0_2008,plain,
meet(X_103,meet(X_101,X_118)) = meet(X_118,meet(X_101,X_103)),
inference(subst,[],[refute_0_867:[bind(X_7,$fot(X_118))]]) ).
cnf(refute_0_2009,plain,
( meet(X_103,meet(X_101,X_118)) != meet(X_118,meet(X_101,X_103))
| meet(X_118,meet(X_101,X_103)) = meet(X_103,meet(X_101,X_118)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_103,meet(X_101,X_118)))),bind(Y0,$fot(meet(X_118,meet(X_101,X_103))))]]) ).
cnf(refute_0_2010,plain,
meet(X_118,meet(X_101,X_103)) = meet(X_103,meet(X_101,X_118)),
inference(resolve,[$cnf( $equal(meet(X_103,meet(X_101,X_118)),meet(X_118,meet(X_101,X_103))) )],[refute_0_2008,refute_0_2009]) ).
cnf(refute_0_2011,plain,
( join(meet(X_101,X_103),join(X_117,meet(X_118,meet(X_101,X_103)))) != join(meet(X_101,X_103),X_117)
| meet(X_118,meet(X_101,X_103)) != meet(X_103,meet(X_101,X_118))
| join(meet(X_101,X_103),join(X_117,meet(X_103,meet(X_101,X_118)))) = join(meet(X_101,X_103),X_117) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_101,X_103),join(X_117,meet(X_118,meet(X_101,X_103)))),join(meet(X_101,X_103),X_117)) ),[0,1,1],$fot(meet(X_103,meet(X_101,X_118)))]]) ).
cnf(refute_0_2012,plain,
( join(meet(X_101,X_103),join(X_117,meet(X_118,meet(X_101,X_103)))) != join(meet(X_101,X_103),X_117)
| join(meet(X_101,X_103),join(X_117,meet(X_103,meet(X_101,X_118)))) = join(meet(X_101,X_103),X_117) ),
inference(resolve,[$cnf( $equal(meet(X_118,meet(X_101,X_103)),meet(X_103,meet(X_101,X_118))) )],[refute_0_2010,refute_0_2011]) ).
cnf(refute_0_2013,plain,
join(meet(X_101,X_103),join(X_117,meet(X_103,meet(X_101,X_118)))) = join(meet(X_101,X_103),X_117),
inference(resolve,[$cnf( $equal(join(meet(X_101,X_103),join(X_117,meet(X_118,meet(X_101,X_103)))),join(meet(X_101,X_103),X_117)) )],[refute_0_2007,refute_0_2012]) ).
cnf(refute_0_2014,plain,
join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))) = join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),
inference(subst,[],[refute_0_2013:[bind(X_101,$fot(X_214)),bind(X_103,$fot(X_215)),bind(X_117,$fot(meet(join(X_214,X_213),join(X_214,X_215)))),bind(X_118,$fot(X_14))]]) ).
cnf(refute_0_2015,plain,
meet(meet(X_215,X_214),X_14) = meet(X_215,meet(X_214,X_14)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_215)),bind(Y,$fot(X_214)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_2016,plain,
join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)) = join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)),
introduced(tautology,[refl,[$fot(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)))]]) ).
cnf(refute_0_2017,plain,
( join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)) != join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14))
| meet(meet(X_215,X_214),X_14) != meet(X_215,meet(X_214,X_14))
| join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)) = join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14))) ),[1,1],$fot(meet(X_215,meet(X_214,X_14)))]]) ).
cnf(refute_0_2018,plain,
( meet(meet(X_215,X_214),X_14) != meet(X_215,meet(X_214,X_14))
| join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)) = join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14))) )],[refute_0_2016,refute_0_2017]) ).
cnf(refute_0_2019,plain,
join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)) = join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))),
inference(resolve,[$cnf( $equal(meet(meet(X_215,X_214),X_14),meet(X_215,meet(X_214,X_14))) )],[refute_0_2015,refute_0_2018]) ).
cnf(refute_0_2020,plain,
meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))) = join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)),
inference(subst,[],[refute_0_1793:[bind(Y,$fot(X_14)),bind(X_36,$fot(meet(X_215,X_214))),bind(X_37,$fot(meet(join(X_214,X_213),join(X_214,X_215))))]]) ).
cnf(refute_0_2021,plain,
( join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)) != join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))
| meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))) != join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14))
| meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))) = join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))),bind(Y0,$fot(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)))),bind(Z0,$fot(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))))]]) ).
cnf(refute_0_2022,plain,
( join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)) != join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))
| meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))) = join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14))) )],[refute_0_2020,refute_0_2021]) ).
cnf(refute_0_2023,plain,
meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))) = join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))),
inference(resolve,[$cnf( $equal(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(meet(X_215,X_214),X_14)),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))) )],[refute_0_2019,refute_0_2022]) ).
cnf(refute_0_2024,plain,
join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),
introduced(tautology,[refl,[$fot(join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))))]]) ).
cnf(refute_0_2025,plain,
( join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) != join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))
| meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))) != join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))
| join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))) ),[1,1],$fot(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))))]]) ).
cnf(refute_0_2026,plain,
( meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))) != join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))
| join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))) )],[refute_0_2024,refute_0_2025]) ).
cnf(refute_0_2027,plain,
join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))) )],[refute_0_2023,refute_0_2026]) ).
cnf(refute_0_2028,plain,
meet(X_214,meet(X_215,join(X_214,X_213))) = meet(X_214,X_215),
inference(subst,[],[refute_0_213:[bind(Y,$fot(X_214)),bind(X_38,$fot(X_213)),bind(X_40,$fot(X_215))]]) ).
cnf(refute_0_2029,plain,
meet(X_22,meet(X_54,X_55)) = meet(X_22,meet(join(X_22,Y),meet(X_54,X_55))),
inference(subst,[],[refute_0_121:[bind(X_24,$fot(meet(X_54,X_55)))]]) ).
cnf(refute_0_2030,plain,
meet(join(X_22,Y),meet(X_54,X_55)) = meet(X_54,meet(X_55,join(X_22,Y))),
inference(subst,[],[refute_0_199:[bind(X,$fot(join(X_22,Y))),bind(X_22,$fot(X_54)),bind(X_23,$fot(X_55))]]) ).
cnf(refute_0_2031,plain,
( meet(X_22,meet(X_54,X_55)) != meet(X_22,meet(join(X_22,Y),meet(X_54,X_55)))
| meet(join(X_22,Y),meet(X_54,X_55)) != meet(X_54,meet(X_55,join(X_22,Y)))
| meet(X_22,meet(X_54,X_55)) = meet(X_22,meet(X_54,meet(X_55,join(X_22,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_22,meet(X_54,X_55)),meet(X_22,meet(join(X_22,Y),meet(X_54,X_55)))) ),[1,1],$fot(meet(X_54,meet(X_55,join(X_22,Y))))]]) ).
cnf(refute_0_2032,plain,
( meet(X_22,meet(X_54,X_55)) != meet(X_22,meet(join(X_22,Y),meet(X_54,X_55)))
| meet(X_22,meet(X_54,X_55)) = meet(X_22,meet(X_54,meet(X_55,join(X_22,Y)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_22,Y),meet(X_54,X_55)),meet(X_54,meet(X_55,join(X_22,Y)))) )],[refute_0_2030,refute_0_2031]) ).
cnf(refute_0_2033,plain,
meet(X_22,meet(X_54,X_55)) = meet(X_22,meet(X_54,meet(X_55,join(X_22,Y)))),
inference(resolve,[$cnf( $equal(meet(X_22,meet(X_54,X_55)),meet(X_22,meet(join(X_22,Y),meet(X_54,X_55)))) )],[refute_0_2029,refute_0_2032]) ).
cnf(refute_0_2034,plain,
( meet(X_22,meet(X_54,X_55)) != meet(X_22,meet(X_54,meet(X_55,join(X_22,Y))))
| meet(X_22,meet(X_54,meet(X_55,join(X_22,Y)))) = meet(X_22,meet(X_54,X_55)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_22,meet(X_54,X_55)))),bind(Y0,$fot(meet(X_22,meet(X_54,meet(X_55,join(X_22,Y))))))]]) ).
cnf(refute_0_2035,plain,
meet(X_22,meet(X_54,meet(X_55,join(X_22,Y)))) = meet(X_22,meet(X_54,X_55)),
inference(resolve,[$cnf( $equal(meet(X_22,meet(X_54,X_55)),meet(X_22,meet(X_54,meet(X_55,join(X_22,Y))))) )],[refute_0_2033,refute_0_2034]) ).
cnf(refute_0_2036,plain,
meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))) = meet(X_214,meet(X_215,join(X_214,X_213))),
inference(subst,[],[refute_0_2035:[bind(Y,$fot(X_215)),bind(X_22,$fot(X_214)),bind(X_54,$fot(X_215)),bind(X_55,$fot(join(X_214,X_213)))]]) ).
cnf(refute_0_2037,plain,
( meet(X_214,meet(X_215,join(X_214,X_213))) != meet(X_214,X_215)
| meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))) != meet(X_214,meet(X_215,join(X_214,X_213)))
| meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))) = meet(X_214,X_215) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))))),bind(Y0,$fot(meet(X_214,meet(X_215,join(X_214,X_213))))),bind(Z0,$fot(meet(X_214,X_215)))]]) ).
cnf(refute_0_2038,plain,
( meet(X_214,meet(X_215,join(X_214,X_213))) != meet(X_214,X_215)
| meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))) = meet(X_214,X_215) ),
inference(resolve,[$cnf( $equal(meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))),meet(X_214,meet(X_215,join(X_214,X_213)))) )],[refute_0_2036,refute_0_2037]) ).
cnf(refute_0_2039,plain,
meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))) = meet(X_214,X_215),
inference(resolve,[$cnf( $equal(meet(X_214,meet(X_215,join(X_214,X_213))),meet(X_214,X_215)) )],[refute_0_2028,refute_0_2038]) ).
cnf(refute_0_2040,plain,
meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))) = meet(X_182,meet(X_183,meet(X_101,X_103))),
inference(subst,[],[refute_0_745:[bind(X_13,$fot(X_182)),bind(X_22,$fot(X_183)),bind(X_23,$fot(meet(X_101,X_103)))]]) ).
cnf(refute_0_2041,plain,
meet(X_103,meet(X_101,X_183)) = meet(X_183,meet(X_101,X_103)),
inference(subst,[],[refute_0_867:[bind(X_7,$fot(X_183))]]) ).
cnf(refute_0_2042,plain,
( meet(X_103,meet(X_101,X_183)) != meet(X_183,meet(X_101,X_103))
| meet(X_183,meet(X_101,X_103)) = meet(X_103,meet(X_101,X_183)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_103,meet(X_101,X_183)))),bind(Y0,$fot(meet(X_183,meet(X_101,X_103))))]]) ).
cnf(refute_0_2043,plain,
meet(X_183,meet(X_101,X_103)) = meet(X_103,meet(X_101,X_183)),
inference(resolve,[$cnf( $equal(meet(X_103,meet(X_101,X_183)),meet(X_183,meet(X_101,X_103))) )],[refute_0_2041,refute_0_2042]) ).
cnf(refute_0_2044,plain,
( meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))) != meet(X_182,meet(X_183,meet(X_101,X_103)))
| meet(X_183,meet(X_101,X_103)) != meet(X_103,meet(X_101,X_183))
| meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))) = meet(X_182,meet(X_103,meet(X_101,X_183))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))),meet(X_182,meet(X_183,meet(X_101,X_103)))) ),[1,1],$fot(meet(X_103,meet(X_101,X_183)))]]) ).
cnf(refute_0_2045,plain,
( meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))) != meet(X_182,meet(X_183,meet(X_101,X_103)))
| meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))) = meet(X_182,meet(X_103,meet(X_101,X_183))) ),
inference(resolve,[$cnf( $equal(meet(X_183,meet(X_101,X_103)),meet(X_103,meet(X_101,X_183))) )],[refute_0_2043,refute_0_2044]) ).
cnf(refute_0_2046,plain,
meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))) = meet(X_182,meet(X_103,meet(X_101,X_183))),
inference(resolve,[$cnf( $equal(meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))),meet(X_182,meet(X_183,meet(X_101,X_103)))) )],[refute_0_2040,refute_0_2045]) ).
cnf(refute_0_2047,plain,
( meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))) != meet(X_182,meet(X_103,meet(X_101,X_183)))
| meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))) != meet(X_182,meet(X_183,meet(X_101,X_103)))
| meet(X_182,meet(X_183,meet(X_101,X_103))) = meet(X_182,meet(X_103,meet(X_101,X_183))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))),meet(X_182,meet(X_103,meet(X_101,X_183)))) ),[0],$fot(meet(X_182,meet(X_183,meet(X_101,X_103))))]]) ).
cnf(refute_0_2048,plain,
( meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))) != meet(X_182,meet(X_103,meet(X_101,X_183)))
| meet(X_182,meet(X_183,meet(X_101,X_103))) = meet(X_182,meet(X_103,meet(X_101,X_183))) ),
inference(resolve,[$cnf( $equal(meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))),meet(X_182,meet(X_183,meet(X_101,X_103)))) )],[refute_0_2040,refute_0_2047]) ).
cnf(refute_0_2049,plain,
meet(X_182,meet(X_183,meet(X_101,X_103))) = meet(X_182,meet(X_103,meet(X_101,X_183))),
inference(resolve,[$cnf( $equal(meet(X_182,meet(X_183,meet(meet(X_101,X_103),X_182))),meet(X_182,meet(X_103,meet(X_101,X_183)))) )],[refute_0_2046,refute_0_2048]) ).
cnf(refute_0_2050,plain,
( meet(X_182,meet(X_183,meet(X_101,X_103))) != meet(X_182,meet(X_103,meet(X_101,X_183)))
| meet(X_182,meet(X_103,meet(X_101,X_183))) = meet(X_182,meet(X_183,meet(X_101,X_103))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_182,meet(X_183,meet(X_101,X_103))))),bind(Y0,$fot(meet(X_182,meet(X_103,meet(X_101,X_183)))))]]) ).
cnf(refute_0_2051,plain,
meet(X_182,meet(X_103,meet(X_101,X_183))) = meet(X_182,meet(X_183,meet(X_101,X_103))),
inference(resolve,[$cnf( $equal(meet(X_182,meet(X_183,meet(X_101,X_103))),meet(X_182,meet(X_103,meet(X_101,X_183)))) )],[refute_0_2049,refute_0_2050]) ).
cnf(refute_0_2052,plain,
meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))) = meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))),
inference(subst,[],[refute_0_2051:[bind(X_101,$fot(join(X_214,X_213))),bind(X_103,$fot(join(X_214,X_215))),bind(X_182,$fot(X_214)),bind(X_183,$fot(X_215))]]) ).
cnf(refute_0_2053,plain,
( meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))) != meet(X_214,X_215)
| meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))) != meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215))))
| meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))) = meet(X_214,X_215) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))))),bind(Y0,$fot(meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))))),bind(Z0,$fot(meet(X_214,X_215)))]]) ).
cnf(refute_0_2054,plain,
( meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))) != meet(X_214,X_215)
| meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))) = meet(X_214,X_215) ),
inference(resolve,[$cnf( $equal(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215))))) )],[refute_0_2052,refute_0_2053]) ).
cnf(refute_0_2055,plain,
meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))) = meet(X_214,X_215),
inference(resolve,[$cnf( $equal(meet(X_214,meet(X_215,meet(join(X_214,X_213),join(X_214,X_215)))),meet(X_214,X_215)) )],[refute_0_2039,refute_0_2054]) ).
cnf(refute_0_2056,plain,
join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),
introduced(tautology,[refl,[$fot(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))))]]) ).
cnf(refute_0_2057,plain,
( join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) != join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))
| meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))) != meet(X_214,X_215)
| join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))) ),[1,0],$fot(meet(X_214,X_215))]]) ).
cnf(refute_0_2058,plain,
( meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))) != meet(X_214,X_215)
| join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))) )],[refute_0_2056,refute_0_2057]) ).
cnf(refute_0_2059,plain,
join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),
inference(resolve,[$cnf( $equal(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(X_214,X_215)) )],[refute_0_2055,refute_0_2058]) ).
cnf(refute_0_2060,plain,
( join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) != join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))))
| join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) != join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))
| join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))))),bind(Y0,$fot(join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))))),bind(Z0,$fot(join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))))))]]) ).
cnf(refute_0_2061,plain,
( join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) != join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))))
| join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))) )],[refute_0_2059,refute_0_2060]) ).
cnf(refute_0_2062,plain,
join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))),
inference(resolve,[$cnf( $equal(join(meet(X_214,X_215),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))))) )],[refute_0_2027,refute_0_2061]) ).
cnf(refute_0_2063,plain,
( join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))) != join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215)))
| join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) != join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))))
| join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))))),bind(Y0,$fot(join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))))),bind(Z0,$fot(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215)))))]]) ).
cnf(refute_0_2064,plain,
( join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))) != join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215)))
| join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) ),
inference(resolve,[$cnf( $equal(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14))))) )],[refute_0_2062,refute_0_2063]) ).
cnf(refute_0_2065,plain,
join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) = join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),
inference(resolve,[$cnf( $equal(join(meet(X_214,X_215),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,meet(X_214,X_14)))),join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215)))) )],[refute_0_2014,refute_0_2064]) ).
cnf(refute_0_2066,plain,
join(X_63,meet(X_18,join(X_179,X_181))) = join(X_63,meet(join(X_179,X_181),X_18)),
inference(subst,[],[refute_0_560:[bind(X_7,$fot(join(X_179,X_181)))]]) ).
cnf(refute_0_2067,plain,
meet(X_18,join(X_181,X_179)) = meet(join(X_179,X_181),X_18),
inference(subst,[],[refute_0_1715:[bind(Y,$fot(X_179)),bind(X_105,$fot(X_18)),bind(X_14,$fot(X_181))]]) ).
cnf(refute_0_2068,plain,
( meet(X_18,join(X_181,X_179)) != meet(join(X_179,X_181),X_18)
| meet(join(X_179,X_181),X_18) = meet(X_18,join(X_181,X_179)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_18,join(X_181,X_179)))),bind(Y0,$fot(meet(join(X_179,X_181),X_18)))]]) ).
cnf(refute_0_2069,plain,
meet(join(X_179,X_181),X_18) = meet(X_18,join(X_181,X_179)),
inference(resolve,[$cnf( $equal(meet(X_18,join(X_181,X_179)),meet(join(X_179,X_181),X_18)) )],[refute_0_2067,refute_0_2068]) ).
cnf(refute_0_2070,plain,
( join(X_63,meet(X_18,join(X_179,X_181))) != join(X_63,meet(join(X_179,X_181),X_18))
| meet(join(X_179,X_181),X_18) != meet(X_18,join(X_181,X_179))
| join(X_63,meet(X_18,join(X_179,X_181))) = join(X_63,meet(X_18,join(X_181,X_179))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_63,meet(X_18,join(X_179,X_181))),join(X_63,meet(join(X_179,X_181),X_18))) ),[1,1],$fot(meet(X_18,join(X_181,X_179)))]]) ).
cnf(refute_0_2071,plain,
( join(X_63,meet(X_18,join(X_179,X_181))) != join(X_63,meet(join(X_179,X_181),X_18))
| join(X_63,meet(X_18,join(X_179,X_181))) = join(X_63,meet(X_18,join(X_181,X_179))) ),
inference(resolve,[$cnf( $equal(meet(join(X_179,X_181),X_18),meet(X_18,join(X_181,X_179))) )],[refute_0_2069,refute_0_2070]) ).
cnf(refute_0_2072,plain,
join(X_63,meet(X_18,join(X_179,X_181))) = join(X_63,meet(X_18,join(X_181,X_179))),
inference(resolve,[$cnf( $equal(join(X_63,meet(X_18,join(X_179,X_181))),join(X_63,meet(join(X_179,X_181),X_18))) )],[refute_0_2066,refute_0_2071]) ).
cnf(refute_0_2073,plain,
( join(X_63,meet(X_18,join(X_179,X_181))) != join(X_63,meet(X_18,join(X_181,X_179)))
| join(X_63,meet(X_18,join(X_181,X_179))) = join(X_63,meet(X_18,join(X_179,X_181))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_63,meet(X_18,join(X_179,X_181))))),bind(Y0,$fot(join(X_63,meet(X_18,join(X_181,X_179)))))]]) ).
cnf(refute_0_2074,plain,
join(X_63,meet(X_18,join(X_181,X_179))) = join(X_63,meet(X_18,join(X_179,X_181))),
inference(resolve,[$cnf( $equal(join(X_63,meet(X_18,join(X_179,X_181))),join(X_63,meet(X_18,join(X_181,X_179)))) )],[refute_0_2072,refute_0_2073]) ).
cnf(refute_0_2075,plain,
join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),
inference(subst,[],[refute_0_2074:[bind(X_179,$fot(meet(X_215,X_214))),bind(X_18,$fot(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))),bind(X_181,$fot(meet(join(X_214,X_213),join(X_214,X_215)))),bind(X_63,$fot(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215)))))]]) ).
cnf(refute_0_2076,plain,
meet(join(X_58,X_56),join(Y,join(X_58,X_56))) = join(X_58,X_56),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_58,X_56)))]]) ).
cnf(refute_0_2077,plain,
join(X_56,join(Y,X_58)) = join(Y,join(X_58,X_56)),
inference(subst,[],[refute_0_342:[bind(X,$fot(X_56)),bind(X_25,$fot(Y)),bind(X_26,$fot(X_58))]]) ).
cnf(refute_0_2078,plain,
( join(X_56,join(Y,X_58)) != join(Y,join(X_58,X_56))
| join(Y,join(X_58,X_56)) = join(X_56,join(Y,X_58)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_56,join(Y,X_58)))),bind(Y0,$fot(join(Y,join(X_58,X_56))))]]) ).
cnf(refute_0_2079,plain,
join(Y,join(X_58,X_56)) = join(X_56,join(Y,X_58)),
inference(resolve,[$cnf( $equal(join(X_56,join(Y,X_58)),join(Y,join(X_58,X_56))) )],[refute_0_2077,refute_0_2078]) ).
cnf(refute_0_2080,plain,
( join(Y,join(X_58,X_56)) != join(X_56,join(Y,X_58))
| meet(join(X_58,X_56),join(Y,join(X_58,X_56))) != join(X_58,X_56)
| meet(join(X_58,X_56),join(X_56,join(Y,X_58))) = join(X_58,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_58,X_56),join(Y,join(X_58,X_56))),join(X_58,X_56)) ),[0,1],$fot(join(X_56,join(Y,X_58)))]]) ).
cnf(refute_0_2081,plain,
( meet(join(X_58,X_56),join(Y,join(X_58,X_56))) != join(X_58,X_56)
| meet(join(X_58,X_56),join(X_56,join(Y,X_58))) = join(X_58,X_56) ),
inference(resolve,[$cnf( $equal(join(Y,join(X_58,X_56)),join(X_56,join(Y,X_58))) )],[refute_0_2079,refute_0_2080]) ).
cnf(refute_0_2082,plain,
meet(join(X_58,X_56),join(X_56,join(Y,X_58))) = join(X_58,X_56),
inference(resolve,[$cnf( $equal(meet(join(X_58,X_56),join(Y,join(X_58,X_56))),join(X_58,X_56)) )],[refute_0_2076,refute_0_2081]) ).
cnf(refute_0_2083,plain,
meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,join(Y,meet(X_196,meet(X_194,meet(Y,X_195)))))) = join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),
inference(subst,[],[refute_0_2082:[bind(X_58,$fot(meet(X_196,meet(X_194,meet(Y,X_195)))))]]) ).
cnf(refute_0_2084,plain,
join(X_49,meet(X_47,meet(X_49,meet(X_23,X_24)))) = X_49,
inference(subst,[],[refute_0_230:[bind(X_32,$fot(X_47)),bind(X_33,$fot(meet(X_23,X_24))),bind(X_34,$fot(X_49))]]) ).
cnf(refute_0_2085,plain,
meet(X_23,meet(X_49,X_24)) = meet(X_49,meet(X_23,X_24)),
inference(subst,[],[refute_0_183:[bind(X_22,$fot(X_49))]]) ).
cnf(refute_0_2086,plain,
( meet(X_23,meet(X_49,X_24)) != meet(X_49,meet(X_23,X_24))
| meet(X_49,meet(X_23,X_24)) = meet(X_23,meet(X_49,X_24)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_23,meet(X_49,X_24)))),bind(Y0,$fot(meet(X_49,meet(X_23,X_24))))]]) ).
cnf(refute_0_2087,plain,
meet(X_49,meet(X_23,X_24)) = meet(X_23,meet(X_49,X_24)),
inference(resolve,[$cnf( $equal(meet(X_23,meet(X_49,X_24)),meet(X_49,meet(X_23,X_24))) )],[refute_0_2085,refute_0_2086]) ).
cnf(refute_0_2088,plain,
( join(X_49,meet(X_47,meet(X_49,meet(X_23,X_24)))) != X_49
| meet(X_49,meet(X_23,X_24)) != meet(X_23,meet(X_49,X_24))
| join(X_49,meet(X_47,meet(X_23,meet(X_49,X_24)))) = X_49 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,meet(X_47,meet(X_49,meet(X_23,X_24)))),X_49) ),[0,1,1],$fot(meet(X_23,meet(X_49,X_24)))]]) ).
cnf(refute_0_2089,plain,
( join(X_49,meet(X_47,meet(X_49,meet(X_23,X_24)))) != X_49
| join(X_49,meet(X_47,meet(X_23,meet(X_49,X_24)))) = X_49 ),
inference(resolve,[$cnf( $equal(meet(X_49,meet(X_23,X_24)),meet(X_23,meet(X_49,X_24))) )],[refute_0_2087,refute_0_2088]) ).
cnf(refute_0_2090,plain,
join(X_49,meet(X_47,meet(X_23,meet(X_49,X_24)))) = X_49,
inference(resolve,[$cnf( $equal(join(X_49,meet(X_47,meet(X_49,meet(X_23,X_24)))),X_49) )],[refute_0_2084,refute_0_2089]) ).
cnf(refute_0_2091,plain,
join(Y,meet(X_196,meet(X_194,meet(Y,X_195)))) = Y,
inference(subst,[],[refute_0_2090:[bind(X_23,$fot(X_194)),bind(X_24,$fot(X_195)),bind(X_47,$fot(X_196)),bind(X_49,$fot(Y))]]) ).
cnf(refute_0_2092,plain,
( join(Y,meet(X_196,meet(X_194,meet(Y,X_195)))) != Y
| meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,join(Y,meet(X_196,meet(X_194,meet(Y,X_195)))))) != join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)
| meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) = join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,join(Y,meet(X_196,meet(X_194,meet(Y,X_195)))))),join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)) ),[0,1,1],$fot(Y)]]) ).
cnf(refute_0_2093,plain,
( meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,join(Y,meet(X_196,meet(X_194,meet(Y,X_195)))))) != join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)
| meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) = join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56) ),
inference(resolve,[$cnf( $equal(join(Y,meet(X_196,meet(X_194,meet(Y,X_195)))),Y) )],[refute_0_2091,refute_0_2092]) ).
cnf(refute_0_2094,plain,
meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) = join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),
inference(resolve,[$cnf( $equal(meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,join(Y,meet(X_196,meet(X_194,meet(Y,X_195)))))),join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)) )],[refute_0_2083,refute_0_2093]) ).
cnf(refute_0_2095,plain,
meet(meet(X_195,X_196),meet(X_194,Y)) = meet(X_195,meet(X_196,meet(X_194,Y))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_195)),bind(Y,$fot(X_196)),bind(Z,$fot(meet(X_194,Y)))]]) ).
cnf(refute_0_2096,plain,
join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56) = join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56),
introduced(tautology,[refl,[$fot(join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56))]]) ).
cnf(refute_0_2097,plain,
( join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56) != join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56)
| meet(meet(X_195,X_196),meet(X_194,Y)) != meet(X_195,meet(X_196,meet(X_194,Y)))
| join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56),join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56)) ),[1,0],$fot(meet(X_195,meet(X_196,meet(X_194,Y))))]]) ).
cnf(refute_0_2098,plain,
( meet(meet(X_195,X_196),meet(X_194,Y)) != meet(X_195,meet(X_196,meet(X_194,Y)))
| join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56),join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56)) )],[refute_0_2096,refute_0_2097]) ).
cnf(refute_0_2099,plain,
join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56),
inference(resolve,[$cnf( $equal(meet(meet(X_195,X_196),meet(X_194,Y)),meet(X_195,meet(X_196,meet(X_194,Y)))) )],[refute_0_2095,refute_0_2098]) ).
cnf(refute_0_2100,plain,
meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,join(X_149,meet(X_22,meet(X_23,X_149))))) = join(meet(X_22,meet(X_23,X_149)),X_150),
inference(subst,[],[refute_0_2082:[bind(Y,$fot(X_149)),bind(X_56,$fot(X_150)),bind(X_58,$fot(meet(X_22,meet(X_23,X_149))))]]) ).
cnf(refute_0_2101,plain,
join(X_149,meet(X_22,meet(X_23,X_149))) = X_149,
inference(subst,[],[refute_0_138:[bind(X_6,$fot(X_149))]]) ).
cnf(refute_0_2102,plain,
( join(X_149,meet(X_22,meet(X_23,X_149))) != X_149
| meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,join(X_149,meet(X_22,meet(X_23,X_149))))) != join(meet(X_22,meet(X_23,X_149)),X_150)
| meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) = join(meet(X_22,meet(X_23,X_149)),X_150) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,join(X_149,meet(X_22,meet(X_23,X_149))))),join(meet(X_22,meet(X_23,X_149)),X_150)) ),[0,1,1],$fot(X_149)]]) ).
cnf(refute_0_2103,plain,
( meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,join(X_149,meet(X_22,meet(X_23,X_149))))) != join(meet(X_22,meet(X_23,X_149)),X_150)
| meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) = join(meet(X_22,meet(X_23,X_149)),X_150) ),
inference(resolve,[$cnf( $equal(join(X_149,meet(X_22,meet(X_23,X_149))),X_149) )],[refute_0_2101,refute_0_2102]) ).
cnf(refute_0_2104,plain,
meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) = join(meet(X_22,meet(X_23,X_149)),X_150),
inference(resolve,[$cnf( $equal(meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,join(X_149,meet(X_22,meet(X_23,X_149))))),join(meet(X_22,meet(X_23,X_149)),X_150)) )],[refute_0_2100,refute_0_2103]) ).
cnf(refute_0_2105,plain,
meet(meet(X_23,X_149),X_22) = meet(X_23,meet(X_149,X_22)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_23)),bind(Y,$fot(X_149)),bind(Z,$fot(X_22))]]) ).
cnf(refute_0_2106,plain,
join(X_150,meet(meet(X_23,X_149),X_22)) = join(X_150,meet(meet(X_23,X_149),X_22)),
introduced(tautology,[refl,[$fot(join(X_150,meet(meet(X_23,X_149),X_22)))]]) ).
cnf(refute_0_2107,plain,
( join(X_150,meet(meet(X_23,X_149),X_22)) != join(X_150,meet(meet(X_23,X_149),X_22))
| meet(meet(X_23,X_149),X_22) != meet(X_23,meet(X_149,X_22))
| join(X_150,meet(meet(X_23,X_149),X_22)) = join(X_150,meet(X_23,meet(X_149,X_22))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_150,meet(meet(X_23,X_149),X_22)),join(X_150,meet(meet(X_23,X_149),X_22))) ),[1,1],$fot(meet(X_23,meet(X_149,X_22)))]]) ).
cnf(refute_0_2108,plain,
( meet(meet(X_23,X_149),X_22) != meet(X_23,meet(X_149,X_22))
| join(X_150,meet(meet(X_23,X_149),X_22)) = join(X_150,meet(X_23,meet(X_149,X_22))) ),
inference(resolve,[$cnf( $equal(join(X_150,meet(meet(X_23,X_149),X_22)),join(X_150,meet(meet(X_23,X_149),X_22))) )],[refute_0_2106,refute_0_2107]) ).
cnf(refute_0_2109,plain,
join(X_150,meet(meet(X_23,X_149),X_22)) = join(X_150,meet(X_23,meet(X_149,X_22))),
inference(resolve,[$cnf( $equal(meet(meet(X_23,X_149),X_22),meet(X_23,meet(X_149,X_22))) )],[refute_0_2105,refute_0_2108]) ).
cnf(refute_0_2110,plain,
meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))) = meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))),
introduced(tautology,[refl,[$fot(meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))))]]) ).
cnf(refute_0_2111,plain,
( join(X_150,meet(meet(X_23,X_149),X_22)) != join(X_150,meet(X_23,meet(X_149,X_22)))
| meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))) != meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22)))
| meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))) = meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))),meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22)))) ),[1,1],$fot(join(X_150,meet(X_23,meet(X_149,X_22))))]]) ).
cnf(refute_0_2112,plain,
( join(X_150,meet(meet(X_23,X_149),X_22)) != join(X_150,meet(X_23,meet(X_149,X_22)))
| meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))) = meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))),meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22)))) )],[refute_0_2110,refute_0_2111]) ).
cnf(refute_0_2113,plain,
meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))) = meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22)))),
inference(resolve,[$cnf( $equal(join(X_150,meet(meet(X_23,X_149),X_22)),join(X_150,meet(X_23,meet(X_149,X_22)))) )],[refute_0_2109,refute_0_2112]) ).
cnf(refute_0_2114,plain,
meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) = meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),Z)),
inference(subst,[],[refute_0_1709:[bind(X_28,$fot(meet(X_144,X_145))),bind(X_29,$fot(join(meet(X_145,X_144),X_143)))]]) ).
cnf(refute_0_2115,plain,
( join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) != join(meet(X_144,X_145),X_143)
| meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) != meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),Z))
| meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) = meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z),meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),Z))) ),[1,1,0],$fot(join(meet(X_144,X_145),X_143))]]) ).
cnf(refute_0_2116,plain,
( meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) != meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),Z))
| meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) = meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)) ),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),join(meet(X_144,X_145),X_143)) )],[refute_0_1204,refute_0_2115]) ).
cnf(refute_0_2117,plain,
meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) = meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z),meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),Z))) )],[refute_0_2114,refute_0_2116]) ).
cnf(refute_0_2118,plain,
join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)) = join(meet(X_145,X_144),X_143),
inference(subst,[],[refute_0_65:[bind(X_14,$fot(X_143)),bind(X_15,$fot(meet(X_145,X_144)))]]) ).
cnf(refute_0_2119,plain,
meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z) = meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z),
introduced(tautology,[refl,[$fot(meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z))]]) ).
cnf(refute_0_2120,plain,
( join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)) != join(meet(X_145,X_144),X_143)
| meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z) != meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z)
| meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z) = meet(join(meet(X_145,X_144),X_143),Z) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z),meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z)) ),[1,0],$fot(join(meet(X_145,X_144),X_143))]]) ).
cnf(refute_0_2121,plain,
( join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)) != join(meet(X_145,X_144),X_143)
| meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z) = meet(join(meet(X_145,X_144),X_143),Z) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z),meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z)) )],[refute_0_2119,refute_0_2120]) ).
cnf(refute_0_2122,plain,
meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z) = meet(join(meet(X_145,X_144),X_143),Z),
inference(resolve,[$cnf( $equal(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),join(meet(X_145,X_144),X_143)) )],[refute_0_2118,refute_0_2121]) ).
cnf(refute_0_2123,plain,
meet(join(meet(X_18,X_7),X_141),X_140) = meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140)),
inference(subst,[],[refute_0_1709:[bind(Z,$fot(X_140)),bind(X_28,$fot(X_141)),bind(X_29,$fot(meet(X_18,X_7)))]]) ).
cnf(refute_0_2124,plain,
join(X_141,meet(X_7,X_18)) = join(meet(X_18,X_7),X_141),
inference(subst,[],[refute_0_464:[bind(X_74,$fot(X_141))]]) ).
cnf(refute_0_2125,plain,
( join(X_141,meet(X_7,X_18)) != join(meet(X_18,X_7),X_141)
| join(meet(X_18,X_7),X_141) = join(X_141,meet(X_7,X_18)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_141,meet(X_7,X_18)))),bind(Y0,$fot(join(meet(X_18,X_7),X_141)))]]) ).
cnf(refute_0_2126,plain,
join(meet(X_18,X_7),X_141) = join(X_141,meet(X_7,X_18)),
inference(resolve,[$cnf( $equal(join(X_141,meet(X_7,X_18)),join(meet(X_18,X_7),X_141)) )],[refute_0_2124,refute_0_2125]) ).
cnf(refute_0_2127,plain,
( join(meet(X_18,X_7),X_141) != join(X_141,meet(X_7,X_18))
| meet(join(meet(X_18,X_7),X_141),X_140) != meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140))
| meet(join(X_141,meet(X_7,X_18)),X_140) = meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_18,X_7),X_141),X_140),meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140))) ),[0,0],$fot(join(X_141,meet(X_7,X_18)))]]) ).
cnf(refute_0_2128,plain,
( meet(join(meet(X_18,X_7),X_141),X_140) != meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140))
| meet(join(X_141,meet(X_7,X_18)),X_140) = meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140)) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_7),X_141),join(X_141,meet(X_7,X_18))) )],[refute_0_2126,refute_0_2127]) ).
cnf(refute_0_2129,plain,
meet(join(X_141,meet(X_7,X_18)),X_140) = meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140)),
inference(resolve,[$cnf( $equal(meet(join(meet(X_18,X_7),X_141),X_140),meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140))) )],[refute_0_2123,refute_0_2128]) ).
cnf(refute_0_2130,plain,
meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140)) = meet(join(meet(X_18,X_7),X_141),X_140),
inference(subst,[],[refute_0_1711:[bind(Z,$fot(X_140)),bind(X_28,$fot(X_141)),bind(X_29,$fot(meet(X_18,X_7)))]]) ).
cnf(refute_0_2131,plain,
( meet(join(X_141,meet(X_7,X_18)),X_140) != meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140))
| meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140)) != meet(join(meet(X_18,X_7),X_141),X_140)
| meet(join(X_141,meet(X_7,X_18)),X_140) = meet(join(meet(X_18,X_7),X_141),X_140) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_141,meet(X_7,X_18)),X_140),meet(join(meet(X_18,X_7),X_141),X_140)) ),[0],$fot(meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140)))]]) ).
cnf(refute_0_2132,plain,
( meet(join(X_141,meet(X_7,X_18)),X_140) != meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140))
| meet(join(X_141,meet(X_7,X_18)),X_140) = meet(join(meet(X_18,X_7),X_141),X_140) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140)),meet(join(meet(X_18,X_7),X_141),X_140)) )],[refute_0_2130,refute_0_2131]) ).
cnf(refute_0_2133,plain,
meet(join(X_141,meet(X_7,X_18)),X_140) = meet(join(meet(X_18,X_7),X_141),X_140),
inference(resolve,[$cnf( $equal(meet(join(X_141,meet(X_7,X_18)),X_140),meet(join(meet(X_18,X_7),X_141),meet(join(X_141,meet(X_18,X_7)),X_140))) )],[refute_0_2129,refute_0_2132]) ).
cnf(refute_0_2134,plain,
meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) = meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z),
inference(subst,[],[refute_0_2133:[bind(X_140,$fot(Z)),bind(X_141,$fot(join(meet(X_145,X_144),X_143))),bind(X_18,$fot(X_145)),bind(X_7,$fot(X_144))]]) ).
cnf(refute_0_2135,plain,
( meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) != meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z)
| meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z) != meet(join(meet(X_145,X_144),X_143),Z)
| meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) = meet(join(meet(X_145,X_144),X_143),Z) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z))),bind(Y0,$fot(meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z))),bind(Z0,$fot(meet(join(meet(X_145,X_144),X_143),Z)))]]) ).
cnf(refute_0_2136,plain,
( meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z) != meet(join(meet(X_145,X_144),X_143),Z)
| meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) = meet(join(meet(X_145,X_144),X_143),Z) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z),meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z)) )],[refute_0_2134,refute_0_2135]) ).
cnf(refute_0_2137,plain,
meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) = meet(join(meet(X_145,X_144),X_143),Z),
inference(resolve,[$cnf( $equal(meet(join(meet(X_145,X_144),join(meet(X_145,X_144),X_143)),Z),meet(join(meet(X_145,X_144),X_143),Z)) )],[refute_0_2122,refute_0_2136]) ).
cnf(refute_0_2138,plain,
( meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) != meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z))
| meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) != meet(join(meet(X_145,X_144),X_143),Z)
| meet(join(meet(X_145,X_144),X_143),Z) = meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z),meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z))) ),[0],$fot(meet(join(meet(X_145,X_144),X_143),Z))]]) ).
cnf(refute_0_2139,plain,
( meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) != meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z))
| meet(join(meet(X_145,X_144),X_143),Z) = meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z),meet(join(meet(X_145,X_144),X_143),Z)) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
meet(join(X_143,meet(X_144,X_145)),meet(Z,join(meet(X_144,X_145),X_143))) = meet(Z,join(X_143,meet(X_144,X_145))),
inference(subst,[],[refute_0_893:[bind(Y,$fot(meet(X_144,X_145))),bind(X_14,$fot(X_143)),bind(X_42,$fot(Z))]]) ).
cnf(refute_0_2141,plain,
meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) = meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))),
introduced(tautology,[refl,[$fot(meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))))]]) ).
cnf(refute_0_2142,plain,
( join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) != join(meet(X_144,X_145),X_143)
| meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) != meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)))
| meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) = meet(Z,join(meet(X_144,X_145),X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))),meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)))) ),[1,1],$fot(join(meet(X_144,X_145),X_143))]]) ).
cnf(refute_0_2143,plain,
( join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)) != join(meet(X_144,X_145),X_143)
| meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) = meet(Z,join(meet(X_144,X_145),X_143)) ),
inference(resolve,[$cnf( $equal(meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))),meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)))) )],[refute_0_2141,refute_0_2142]) ).
cnf(refute_0_2144,plain,
meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) = meet(Z,join(meet(X_144,X_145),X_143)),
inference(resolve,[$cnf( $equal(join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)),join(meet(X_144,X_145),X_143)) )],[refute_0_1204,refute_0_2143]) ).
cnf(refute_0_2145,plain,
( meet(X_134,join(X_14,Y)) != meet(X_134,join(Y,X_14))
| meet(X_134,join(Y,X_14)) = meet(X_134,join(X_14,Y)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_134,join(X_14,Y)))),bind(Y0,$fot(meet(X_134,join(Y,X_14))))]]) ).
cnf(refute_0_2146,plain,
meet(X_134,join(Y,X_14)) = meet(X_134,join(X_14,Y)),
inference(resolve,[$cnf( $equal(meet(X_134,join(X_14,Y)),meet(X_134,join(Y,X_14))) )],[refute_0_898,refute_0_2145]) ).
cnf(refute_0_2147,plain,
meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))) = meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))),
inference(subst,[],[refute_0_2146:[bind(Y,$fot(join(meet(X_145,X_144),X_143))),bind(X_134,$fot(Z)),bind(X_14,$fot(meet(X_144,X_145)))]]) ).
cnf(refute_0_2148,plain,
( meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))) != meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)))
| meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) != meet(Z,join(meet(X_144,X_145),X_143))
| meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))) = meet(Z,join(meet(X_144,X_145),X_143)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))))),bind(Y0,$fot(meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))))),bind(Z0,$fot(meet(Z,join(meet(X_144,X_145),X_143))))]]) ).
cnf(refute_0_2149,plain,
( meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))) != meet(Z,join(meet(X_144,X_145),X_143))
| meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))) = meet(Z,join(meet(X_144,X_145),X_143)) ),
inference(resolve,[$cnf( $equal(meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))),meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143)))) )],[refute_0_2147,refute_0_2148]) ).
cnf(refute_0_2150,plain,
meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))) = meet(Z,join(meet(X_144,X_145),X_143)),
inference(resolve,[$cnf( $equal(meet(Z,join(meet(X_144,X_145),join(meet(X_145,X_144),X_143))),meet(Z,join(meet(X_144,X_145),X_143))) )],[refute_0_2144,refute_0_2149]) ).
cnf(refute_0_2151,plain,
meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) = meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))),
introduced(tautology,[refl,[$fot(meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))))]]) ).
cnf(refute_0_2152,plain,
( meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))) != meet(Z,join(meet(X_144,X_145),X_143))
| meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) != meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))))
| meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) = meet(join(X_143,meet(X_144,X_145)),meet(Z,join(meet(X_144,X_145),X_143))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))),meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))))) ),[1,1],$fot(meet(Z,join(meet(X_144,X_145),X_143)))]]) ).
cnf(refute_0_2153,plain,
( meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))) != meet(Z,join(meet(X_144,X_145),X_143))
| meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) = meet(join(X_143,meet(X_144,X_145)),meet(Z,join(meet(X_144,X_145),X_143))) ),
inference(resolve,[$cnf( $equal(meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))),meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))))) )],[refute_0_2151,refute_0_2152]) ).
cnf(refute_0_2154,plain,
meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) = meet(join(X_143,meet(X_144,X_145)),meet(Z,join(meet(X_144,X_145),X_143))),
inference(resolve,[$cnf( $equal(meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))),meet(Z,join(meet(X_144,X_145),X_143))) )],[refute_0_2150,refute_0_2153]) ).
cnf(refute_0_2155,plain,
( meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) != meet(join(X_143,meet(X_144,X_145)),meet(Z,join(meet(X_144,X_145),X_143)))
| meet(join(X_143,meet(X_144,X_145)),meet(Z,join(meet(X_144,X_145),X_143))) != meet(Z,join(X_143,meet(X_144,X_145)))
| meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) = meet(Z,join(X_143,meet(X_144,X_145))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))))),bind(Y0,$fot(meet(join(X_143,meet(X_144,X_145)),meet(Z,join(meet(X_144,X_145),X_143))))),bind(Z0,$fot(meet(Z,join(X_143,meet(X_144,X_145)))))]]) ).
cnf(refute_0_2156,plain,
( meet(join(X_143,meet(X_144,X_145)),meet(Z,join(meet(X_144,X_145),X_143))) != meet(Z,join(X_143,meet(X_144,X_145)))
| meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) = meet(Z,join(X_143,meet(X_144,X_145))) ),
inference(resolve,[$cnf( $equal(meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))),meet(join(X_143,meet(X_144,X_145)),meet(Z,join(meet(X_144,X_145),X_143)))) )],[refute_0_2154,refute_0_2155]) ).
cnf(refute_0_2157,plain,
meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) = meet(Z,join(X_143,meet(X_144,X_145))),
inference(resolve,[$cnf( $equal(meet(join(X_143,meet(X_144,X_145)),meet(Z,join(meet(X_144,X_145),X_143))),meet(Z,join(X_143,meet(X_144,X_145)))) )],[refute_0_2140,refute_0_2156]) ).
cnf(refute_0_2158,plain,
meet(join(X_142,X_141),meet(X_22,X_23)) = meet(join(X_142,X_141),meet(join(X_141,X_142),meet(X_22,X_23))),
inference(subst,[],[refute_0_1709:[bind(Z,$fot(meet(X_22,X_23))),bind(X_28,$fot(X_141)),bind(X_29,$fot(X_142))]]) ).
cnf(refute_0_2159,plain,
meet(join(X_141,X_142),meet(X_22,X_23)) = meet(X_22,meet(X_23,join(X_141,X_142))),
inference(subst,[],[refute_0_199:[bind(X,$fot(join(X_141,X_142)))]]) ).
cnf(refute_0_2160,plain,
( meet(join(X_141,X_142),meet(X_22,X_23)) != meet(X_22,meet(X_23,join(X_141,X_142)))
| meet(join(X_142,X_141),meet(X_22,X_23)) != meet(join(X_142,X_141),meet(join(X_141,X_142),meet(X_22,X_23)))
| meet(join(X_142,X_141),meet(X_22,X_23)) = meet(join(X_142,X_141),meet(X_22,meet(X_23,join(X_141,X_142)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_142,X_141),meet(X_22,X_23)),meet(join(X_142,X_141),meet(join(X_141,X_142),meet(X_22,X_23)))) ),[1,1],$fot(meet(X_22,meet(X_23,join(X_141,X_142))))]]) ).
cnf(refute_0_2161,plain,
( meet(join(X_142,X_141),meet(X_22,X_23)) != meet(join(X_142,X_141),meet(join(X_141,X_142),meet(X_22,X_23)))
| meet(join(X_142,X_141),meet(X_22,X_23)) = meet(join(X_142,X_141),meet(X_22,meet(X_23,join(X_141,X_142)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_141,X_142),meet(X_22,X_23)),meet(X_22,meet(X_23,join(X_141,X_142)))) )],[refute_0_2159,refute_0_2160]) ).
cnf(refute_0_2162,plain,
meet(join(X_142,X_141),meet(X_22,X_23)) = meet(join(X_142,X_141),meet(X_22,meet(X_23,join(X_141,X_142)))),
inference(resolve,[$cnf( $equal(meet(join(X_142,X_141),meet(X_22,X_23)),meet(join(X_142,X_141),meet(join(X_141,X_142),meet(X_22,X_23)))) )],[refute_0_2158,refute_0_2161]) ).
cnf(refute_0_2163,plain,
meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)) = meet(X,meet(join(X_142,X_141),meet(join(X_141,X_142),X_140))),
inference(subst,[],[associativity_of_meet:[bind(Y,$fot(join(X_142,X_141))),bind(Z,$fot(meet(join(X_141,X_142),X_140)))]]) ).
cnf(refute_0_2164,plain,
meet(join(X_142,X_141),X_140) = meet(join(X_142,X_141),meet(join(X_141,X_142),X_140)),
inference(subst,[],[refute_0_1709:[bind(Z,$fot(X_140)),bind(X_28,$fot(X_141)),bind(X_29,$fot(X_142))]]) ).
cnf(refute_0_2165,plain,
( meet(join(X_142,X_141),X_140) != meet(join(X_142,X_141),meet(join(X_141,X_142),X_140))
| meet(join(X_142,X_141),meet(join(X_141,X_142),X_140)) = meet(join(X_142,X_141),X_140) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(join(X_142,X_141),X_140))),bind(Y0,$fot(meet(join(X_142,X_141),meet(join(X_141,X_142),X_140))))]]) ).
cnf(refute_0_2166,plain,
meet(join(X_142,X_141),meet(join(X_141,X_142),X_140)) = meet(join(X_142,X_141),X_140),
inference(resolve,[$cnf( $equal(meet(join(X_142,X_141),X_140),meet(join(X_142,X_141),meet(join(X_141,X_142),X_140))) )],[refute_0_2164,refute_0_2165]) ).
cnf(refute_0_2167,plain,
( meet(join(X_142,X_141),meet(join(X_141,X_142),X_140)) != meet(join(X_142,X_141),X_140)
| meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)) != meet(X,meet(join(X_142,X_141),meet(join(X_141,X_142),X_140)))
| meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)) = meet(X,meet(join(X_142,X_141),X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)),meet(X,meet(join(X_142,X_141),meet(join(X_141,X_142),X_140)))) ),[1,1],$fot(meet(join(X_142,X_141),X_140))]]) ).
cnf(refute_0_2168,plain,
( meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)) != meet(X,meet(join(X_142,X_141),meet(join(X_141,X_142),X_140)))
| meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)) = meet(X,meet(join(X_142,X_141),X_140)) ),
inference(resolve,[$cnf( $equal(meet(join(X_142,X_141),meet(join(X_141,X_142),X_140)),meet(join(X_142,X_141),X_140)) )],[refute_0_2166,refute_0_2167]) ).
cnf(refute_0_2169,plain,
meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)) = meet(X,meet(join(X_142,X_141),X_140)),
inference(resolve,[$cnf( $equal(meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)),meet(X,meet(join(X_142,X_141),meet(join(X_141,X_142),X_140)))) )],[refute_0_2163,refute_0_2168]) ).
cnf(refute_0_2170,plain,
meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)) = meet(join(X_141,X_142),meet(X_140,meet(X,join(X_142,X_141)))),
inference(subst,[],[refute_0_692:[bind(X_41,$fot(join(X_141,X_142))),bind(X_43,$fot(X_140)),bind(X_7,$fot(meet(X,join(X_142,X_141))))]]) ).
cnf(refute_0_2171,plain,
( meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)) != meet(X,meet(join(X_142,X_141),X_140))
| meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)) != meet(join(X_141,X_142),meet(X_140,meet(X,join(X_142,X_141))))
| meet(join(X_141,X_142),meet(X_140,meet(X,join(X_142,X_141)))) = meet(X,meet(join(X_142,X_141),X_140)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)),meet(X,meet(join(X_142,X_141),X_140))) ),[0],$fot(meet(join(X_141,X_142),meet(X_140,meet(X,join(X_142,X_141)))))]]) ).
cnf(refute_0_2172,plain,
( meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)) != meet(X,meet(join(X_142,X_141),X_140))
| meet(join(X_141,X_142),meet(X_140,meet(X,join(X_142,X_141)))) = meet(X,meet(join(X_142,X_141),X_140)) ),
inference(resolve,[$cnf( $equal(meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)),meet(join(X_141,X_142),meet(X_140,meet(X,join(X_142,X_141))))) )],[refute_0_2170,refute_0_2171]) ).
cnf(refute_0_2173,plain,
meet(join(X_141,X_142),meet(X_140,meet(X,join(X_142,X_141)))) = meet(X,meet(join(X_142,X_141),X_140)),
inference(resolve,[$cnf( $equal(meet(meet(X,join(X_142,X_141)),meet(join(X_141,X_142),X_140)),meet(X,meet(join(X_142,X_141),X_140))) )],[refute_0_2169,refute_0_2172]) ).
cnf(refute_0_2174,plain,
meet(join(X_142,X_141),meet(X_22,meet(X_23,join(X_141,X_142)))) = meet(X_23,meet(join(X_141,X_142),X_22)),
inference(subst,[],[refute_0_2173:[bind(X,$fot(X_23)),bind(X_140,$fot(X_22)),bind(X_141,$fot(X_142)),bind(X_142,$fot(X_141))]]) ).
cnf(refute_0_2175,plain,
( meet(join(X_142,X_141),meet(X_22,X_23)) != meet(join(X_142,X_141),meet(X_22,meet(X_23,join(X_141,X_142))))
| meet(join(X_142,X_141),meet(X_22,meet(X_23,join(X_141,X_142)))) != meet(X_23,meet(join(X_141,X_142),X_22))
| meet(join(X_142,X_141),meet(X_22,X_23)) = meet(X_23,meet(join(X_141,X_142),X_22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_142,X_141),meet(X_22,X_23)),meet(X_23,meet(join(X_141,X_142),X_22))) ),[0],$fot(meet(join(X_142,X_141),meet(X_22,meet(X_23,join(X_141,X_142)))))]]) ).
cnf(refute_0_2176,plain,
( meet(join(X_142,X_141),meet(X_22,X_23)) != meet(join(X_142,X_141),meet(X_22,meet(X_23,join(X_141,X_142))))
| meet(join(X_142,X_141),meet(X_22,X_23)) = meet(X_23,meet(join(X_141,X_142),X_22)) ),
inference(resolve,[$cnf( $equal(meet(join(X_142,X_141),meet(X_22,meet(X_23,join(X_141,X_142)))),meet(X_23,meet(join(X_141,X_142),X_22))) )],[refute_0_2174,refute_0_2175]) ).
cnf(refute_0_2177,plain,
meet(join(X_142,X_141),meet(X_22,X_23)) = meet(X_23,meet(join(X_141,X_142),X_22)),
inference(resolve,[$cnf( $equal(meet(join(X_142,X_141),meet(X_22,X_23)),meet(join(X_142,X_141),meet(X_22,meet(X_23,join(X_141,X_142))))) )],[refute_0_2162,refute_0_2176]) ).
cnf(refute_0_2178,plain,
( meet(join(X_142,X_141),meet(X_22,X_23)) != meet(X_23,meet(join(X_141,X_142),X_22))
| meet(X_23,meet(join(X_141,X_142),X_22)) = meet(join(X_142,X_141),meet(X_22,X_23)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(join(X_142,X_141),meet(X_22,X_23)))),bind(Y0,$fot(meet(X_23,meet(join(X_141,X_142),X_22))))]]) ).
cnf(refute_0_2179,plain,
meet(X_23,meet(join(X_141,X_142),X_22)) = meet(join(X_142,X_141),meet(X_22,X_23)),
inference(resolve,[$cnf( $equal(meet(join(X_142,X_141),meet(X_22,X_23)),meet(X_23,meet(join(X_141,X_142),X_22))) )],[refute_0_2177,refute_0_2178]) ).
cnf(refute_0_2180,plain,
meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)) = meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))),
inference(subst,[],[refute_0_2179:[bind(X_141,$fot(meet(X_144,X_145))),bind(X_142,$fot(X_143)),bind(X_22,$fot(Z)),bind(X_23,$fot(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))))]]) ).
cnf(refute_0_2181,plain,
( meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) != meet(Z,join(X_143,meet(X_144,X_145)))
| meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)) != meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))))
| meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)) = meet(Z,join(X_143,meet(X_144,X_145))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)))),bind(Y0,$fot(meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))))),bind(Z0,$fot(meet(Z,join(X_143,meet(X_144,X_145)))))]]) ).
cnf(refute_0_2182,plain,
( meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))) != meet(Z,join(X_143,meet(X_144,X_145)))
| meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)) = meet(Z,join(X_143,meet(X_144,X_145))) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)),meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145))))) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)) = meet(Z,join(X_143,meet(X_144,X_145))),
inference(resolve,[$cnf( $equal(meet(join(X_143,meet(X_144,X_145)),meet(Z,join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)))),meet(Z,join(X_143,meet(X_144,X_145)))) )],[refute_0_2157,refute_0_2182]) ).
cnf(refute_0_2184,plain,
( meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)) != meet(Z,join(X_143,meet(X_144,X_145)))
| meet(join(meet(X_145,X_144),X_143),Z) != meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z))
| meet(join(meet(X_145,X_144),X_143),Z) = meet(Z,join(X_143,meet(X_144,X_145))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_145,X_144),X_143),Z),meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z))) ),[1],$fot(meet(Z,join(X_143,meet(X_144,X_145))))]]) ).
cnf(refute_0_2185,plain,
( meet(join(meet(X_145,X_144),X_143),Z) != meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z))
| meet(join(meet(X_145,X_144),X_143),Z) = meet(Z,join(X_143,meet(X_144,X_145))) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z)),meet(Z,join(X_143,meet(X_144,X_145)))) )],[refute_0_2183,refute_0_2184]) ).
cnf(refute_0_2186,plain,
( meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z) != meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z))
| meet(join(meet(X_145,X_144),X_143),Z) = meet(Z,join(X_143,meet(X_144,X_145))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_145,X_144),X_143),Z),meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z))) )],[refute_0_2139,refute_0_2185]) ).
cnf(refute_0_2187,plain,
meet(join(meet(X_145,X_144),X_143),Z) = meet(Z,join(X_143,meet(X_144,X_145))),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),Z),meet(join(join(meet(X_145,X_144),X_143),meet(X_144,X_145)),meet(join(meet(X_144,X_145),X_143),Z))) )],[refute_0_2117,refute_0_2186]) ).
cnf(refute_0_2188,plain,
meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) = meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))),
inference(subst,[],[refute_0_2187:[bind(Z,$fot(join(X_150,X_149))),bind(X_143,$fot(X_150)),bind(X_144,$fot(meet(X_23,X_149))),bind(X_145,$fot(X_22))]]) ).
cnf(refute_0_2189,plain,
( meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))) != meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22))))
| meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) != meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22)))
| meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) = meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)))),bind(Y0,$fot(meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))))),bind(Z0,$fot(meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22))))))]]) ).
cnf(refute_0_2190,plain,
( meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))) != meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22))))
| meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) = meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22)))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)),meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22)))) )],[refute_0_2188,refute_0_2189]) ).
cnf(refute_0_2191,plain,
meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) = meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22)))),
inference(resolve,[$cnf( $equal(meet(join(X_150,X_149),join(X_150,meet(meet(X_23,X_149),X_22))),meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22))))) )],[refute_0_2113,refute_0_2190]) ).
cnf(refute_0_2192,plain,
( meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) != join(meet(X_22,meet(X_23,X_149)),X_150)
| meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) != meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22))))
| meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22)))) = join(meet(X_22,meet(X_23,X_149)),X_150) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)),join(meet(X_22,meet(X_23,X_149)),X_150)) ),[0],$fot(meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22)))))]]) ).
cnf(refute_0_2193,plain,
( meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)) != join(meet(X_22,meet(X_23,X_149)),X_150)
| meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22)))) = join(meet(X_22,meet(X_23,X_149)),X_150) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)),meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22))))) )],[refute_0_2191,refute_0_2192]) ).
cnf(refute_0_2194,plain,
meet(join(X_150,X_149),join(X_150,meet(X_23,meet(X_149,X_22)))) = join(meet(X_22,meet(X_23,X_149)),X_150),
inference(resolve,[$cnf( $equal(meet(join(meet(X_22,meet(X_23,X_149)),X_150),join(X_150,X_149)),join(meet(X_22,meet(X_23,X_149)),X_150)) )],[refute_0_2104,refute_0_2193]) ).
cnf(refute_0_2195,plain,
meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))) = join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56),
inference(subst,[],[refute_0_2194:[bind(X_149,$fot(Y)),bind(X_150,$fot(X_56)),bind(X_22,$fot(meet(X_195,X_196))),bind(X_23,$fot(X_194))]]) ).
cnf(refute_0_2196,plain,
( join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56) != join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)
| meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))) != join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56)
| meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))))),bind(Y0,$fot(join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56))),bind(Z0,$fot(join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)))]]) ).
cnf(refute_0_2197,plain,
( join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56) != join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)
| meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) ),
inference(resolve,[$cnf( $equal(meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))),join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56)) )],[refute_0_2195,refute_0_2196]) ).
cnf(refute_0_2198,plain,
meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56),
inference(resolve,[$cnf( $equal(join(meet(meet(X_195,X_196),meet(X_194,Y)),X_56),join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)) )],[refute_0_2099,refute_0_2197]) ).
cnf(refute_0_2199,plain,
meet(meet(Y,X_195),X_196) = meet(Y,meet(X_195,X_196)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(Y)),bind(Y,$fot(X_195)),bind(Z,$fot(X_196))]]) ).
cnf(refute_0_2200,plain,
meet(X_194,meet(meet(Y,X_195),X_196)) = meet(X_194,meet(meet(Y,X_195),X_196)),
introduced(tautology,[refl,[$fot(meet(X_194,meet(meet(Y,X_195),X_196)))]]) ).
cnf(refute_0_2201,plain,
( meet(X_194,meet(meet(Y,X_195),X_196)) != meet(X_194,meet(meet(Y,X_195),X_196))
| meet(meet(Y,X_195),X_196) != meet(Y,meet(X_195,X_196))
| meet(X_194,meet(meet(Y,X_195),X_196)) = meet(X_194,meet(Y,meet(X_195,X_196))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_194,meet(meet(Y,X_195),X_196)),meet(X_194,meet(meet(Y,X_195),X_196))) ),[1,1],$fot(meet(Y,meet(X_195,X_196)))]]) ).
cnf(refute_0_2202,plain,
( meet(meet(Y,X_195),X_196) != meet(Y,meet(X_195,X_196))
| meet(X_194,meet(meet(Y,X_195),X_196)) = meet(X_194,meet(Y,meet(X_195,X_196))) ),
inference(resolve,[$cnf( $equal(meet(X_194,meet(meet(Y,X_195),X_196)),meet(X_194,meet(meet(Y,X_195),X_196))) )],[refute_0_2200,refute_0_2201]) ).
cnf(refute_0_2203,plain,
meet(X_194,meet(meet(Y,X_195),X_196)) = meet(X_194,meet(Y,meet(X_195,X_196))),
inference(resolve,[$cnf( $equal(meet(meet(Y,X_195),X_196),meet(Y,meet(X_195,X_196))) )],[refute_0_2199,refute_0_2202]) ).
cnf(refute_0_2204,plain,
meet(meet(X_194,meet(Y,X_195)),X_196) = meet(X_194,meet(meet(Y,X_195),X_196)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_194)),bind(Y,$fot(meet(Y,X_195))),bind(Z,$fot(X_196))]]) ).
cnf(refute_0_2205,plain,
( meet(X_194,meet(meet(Y,X_195),X_196)) != meet(X_194,meet(Y,meet(X_195,X_196)))
| meet(meet(X_194,meet(Y,X_195)),X_196) != meet(X_194,meet(meet(Y,X_195),X_196))
| meet(meet(X_194,meet(Y,X_195)),X_196) = meet(X_194,meet(Y,meet(X_195,X_196))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_194,meet(Y,X_195)),X_196))),bind(Y0,$fot(meet(X_194,meet(meet(Y,X_195),X_196)))),bind(Z0,$fot(meet(X_194,meet(Y,meet(X_195,X_196)))))]]) ).
cnf(refute_0_2206,plain,
( meet(X_194,meet(meet(Y,X_195),X_196)) != meet(X_194,meet(Y,meet(X_195,X_196)))
| meet(meet(X_194,meet(Y,X_195)),X_196) = meet(X_194,meet(Y,meet(X_195,X_196))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_194,meet(Y,X_195)),X_196),meet(X_194,meet(meet(Y,X_195),X_196))) )],[refute_0_2204,refute_0_2205]) ).
cnf(refute_0_2207,plain,
meet(meet(X_194,meet(Y,X_195)),X_196) = meet(X_194,meet(Y,meet(X_195,X_196))),
inference(resolve,[$cnf( $equal(meet(X_194,meet(meet(Y,X_195),X_196)),meet(X_194,meet(Y,meet(X_195,X_196)))) )],[refute_0_2203,refute_0_2206]) ).
cnf(refute_0_2208,plain,
join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)) = join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)),
introduced(tautology,[refl,[$fot(join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)))]]) ).
cnf(refute_0_2209,plain,
( join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)) != join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))
| meet(meet(X_194,meet(Y,X_195)),X_196) != meet(X_194,meet(Y,meet(X_195,X_196)))
| join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)) = join(X_56,meet(X_194,meet(Y,meet(X_195,X_196)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) ),[1,1],$fot(meet(X_194,meet(Y,meet(X_195,X_196))))]]) ).
cnf(refute_0_2210,plain,
( meet(meet(X_194,meet(Y,X_195)),X_196) != meet(X_194,meet(Y,meet(X_195,X_196)))
| join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)) = join(X_56,meet(X_194,meet(Y,meet(X_195,X_196)))) ),
inference(resolve,[$cnf( $equal(join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) )],[refute_0_2208,refute_0_2209]) ).
cnf(refute_0_2211,plain,
join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)) = join(X_56,meet(X_194,meet(Y,meet(X_195,X_196)))),
inference(resolve,[$cnf( $equal(meet(meet(X_194,meet(Y,X_195)),X_196),meet(X_194,meet(Y,meet(X_195,X_196)))) )],[refute_0_2207,refute_0_2210]) ).
cnf(refute_0_2212,plain,
meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) = meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))),
introduced(tautology,[refl,[$fot(meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))))]]) ).
cnf(refute_0_2213,plain,
( join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)) != join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))
| meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) != meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)))
| meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) = meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))),meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)))) ),[1,1],$fot(join(X_56,meet(X_194,meet(Y,meet(X_195,X_196)))))]]) ).
cnf(refute_0_2214,plain,
( join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)) != join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))
| meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) = meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))) ),
inference(resolve,[$cnf( $equal(meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))),meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)))) )],[refute_0_2212,refute_0_2213]) ).
cnf(refute_0_2215,plain,
meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) = meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))),
inference(resolve,[$cnf( $equal(join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))) )],[refute_0_2211,refute_0_2214]) ).
cnf(refute_0_2216,plain,
( meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))) != join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)
| meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) != meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196)))))
| meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))))),bind(Y0,$fot(meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))))),bind(Z0,$fot(join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)))]]) ).
cnf(refute_0_2217,plain,
( meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))) != join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)
| meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) ),
inference(resolve,[$cnf( $equal(meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))),meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196)))))) )],[refute_0_2215,refute_0_2216]) ).
cnf(refute_0_2218,plain,
meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56),
inference(resolve,[$cnf( $equal(meet(join(X_56,Y),join(X_56,meet(X_194,meet(Y,meet(X_195,X_196))))),join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)) )],[refute_0_2198,refute_0_2217]) ).
cnf(refute_0_2219,plain,
meet(X_105,join(X_14,meet(X_190,X_189))) = meet(join(meet(X_190,X_189),X_14),X_105),
inference(subst,[],[refute_0_1715:[bind(Y,$fot(meet(X_190,X_189)))]]) ).
cnf(refute_0_2220,plain,
join(meet(X_190,X_189),X_14) = join(meet(X_189,X_190),X_14),
inference(subst,[],[refute_0_1981:[bind(X_143,$fot(X_14)),bind(X_144,$fot(X_189)),bind(X_145,$fot(X_190))]]) ).
cnf(refute_0_2221,plain,
( join(meet(X_190,X_189),X_14) != join(meet(X_189,X_190),X_14)
| meet(X_105,join(X_14,meet(X_190,X_189))) != meet(join(meet(X_190,X_189),X_14),X_105)
| meet(X_105,join(X_14,meet(X_190,X_189))) = meet(join(meet(X_189,X_190),X_14),X_105) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_105,join(X_14,meet(X_190,X_189))),meet(join(meet(X_190,X_189),X_14),X_105)) ),[1,0],$fot(join(meet(X_189,X_190),X_14))]]) ).
cnf(refute_0_2222,plain,
( meet(X_105,join(X_14,meet(X_190,X_189))) != meet(join(meet(X_190,X_189),X_14),X_105)
| meet(X_105,join(X_14,meet(X_190,X_189))) = meet(join(meet(X_189,X_190),X_14),X_105) ),
inference(resolve,[$cnf( $equal(join(meet(X_190,X_189),X_14),join(meet(X_189,X_190),X_14)) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
meet(X_105,join(X_14,meet(X_190,X_189))) = meet(join(meet(X_189,X_190),X_14),X_105),
inference(resolve,[$cnf( $equal(meet(X_105,join(X_14,meet(X_190,X_189))),meet(join(meet(X_190,X_189),X_14),X_105)) )],[refute_0_2219,refute_0_2222]) ).
cnf(refute_0_2224,plain,
( meet(X_105,join(X_14,meet(X_190,X_189))) != meet(join(meet(X_189,X_190),X_14),X_105)
| meet(join(meet(X_189,X_190),X_14),X_105) = meet(X_105,join(X_14,meet(X_190,X_189))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_105,join(X_14,meet(X_190,X_189))))),bind(Y0,$fot(meet(join(meet(X_189,X_190),X_14),X_105)))]]) ).
cnf(refute_0_2225,plain,
meet(join(meet(X_189,X_190),X_14),X_105) = meet(X_105,join(X_14,meet(X_190,X_189))),
inference(resolve,[$cnf( $equal(meet(X_105,join(X_14,meet(X_190,X_189))),meet(join(meet(X_189,X_190),X_14),X_105)) )],[refute_0_2223,refute_0_2224]) ).
cnf(refute_0_2226,plain,
meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) = meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))),
inference(subst,[],[refute_0_2225:[bind(X_105,$fot(join(X_56,Y))),bind(X_14,$fot(X_56)),bind(X_189,$fot(X_196)),bind(X_190,$fot(meet(X_194,meet(Y,X_195))))]]) ).
cnf(refute_0_2227,plain,
( meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) != join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)
| meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) != meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)))
| meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)))),bind(Y0,$fot(meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))))),bind(Z0,$fot(join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)))]]) ).
cnf(refute_0_2228,plain,
( meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))) != join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)
| meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)),meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196)))) )],[refute_0_2226,refute_0_2227]) ).
cnf(refute_0_2229,plain,
meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56),
inference(resolve,[$cnf( $equal(meet(join(X_56,Y),join(X_56,meet(meet(X_194,meet(Y,X_195)),X_196))),join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)) )],[refute_0_2218,refute_0_2228]) ).
cnf(refute_0_2230,plain,
( meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) != join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)
| meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) != join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)
| join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) = join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)),join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)) ),[0],$fot(join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56))]]) ).
cnf(refute_0_2231,plain,
( meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)) != join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)
| join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) = join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)),join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56)) )],[refute_0_2229,refute_0_2230]) ).
cnf(refute_0_2232,plain,
join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) = join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),
inference(resolve,[$cnf( $equal(meet(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56),join(X_56,Y)),join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)) )],[refute_0_2094,refute_0_2231]) ).
cnf(refute_0_2233,plain,
( join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) != join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)
| join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56))),bind(Y0,$fot(join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)))]]) ).
cnf(refute_0_2234,plain,
join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56) = join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56),
inference(resolve,[$cnf( $equal(join(meet(X_195,meet(X_196,meet(X_194,Y))),X_56),join(meet(X_196,meet(X_194,meet(Y,X_195))),X_56)) )],[refute_0_2232,refute_0_2233]) ).
cnf(refute_0_2235,plain,
join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),
inference(subst,[],[refute_0_2234:[bind(Y,$fot(X_215)),bind(X_194,$fot(join(X_214,X_213))),bind(X_195,$fot(X_214)),bind(X_196,$fot(join(X_214,X_215))),bind(X_56,$fot(meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))))]]) ).
cnf(refute_0_2236,plain,
( join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))
| join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214))))
| join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))))),bind(Y0,$fot(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))))),bind(Z0,$fot(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))))]]) ).
cnf(refute_0_2237,plain,
( join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))
| join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214))))) )],[refute_0_2235,refute_0_2236]) ).
cnf(refute_0_2238,plain,
join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),
inference(resolve,[$cnf( $equal(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))) )],[refute_0_2075,refute_0_2237]) ).
cnf(refute_0_2239,plain,
join(meet(X_190,meet(X_79,Y)),X_188) = join(meet(meet(X_79,Y),X_190),X_188),
inference(subst,[],[refute_0_1981:[bind(X_143,$fot(X_188)),bind(X_144,$fot(meet(X_79,Y))),bind(X_145,$fot(X_190))]]) ).
cnf(refute_0_2240,plain,
meet(X_190,meet(Y,X_79)) = meet(X_190,meet(X_79,Y)),
inference(subst,[],[refute_0_700:[bind(X_77,$fot(X_190))]]) ).
cnf(refute_0_2241,plain,
( meet(X_190,meet(Y,X_79)) != meet(X_190,meet(X_79,Y))
| meet(X_190,meet(X_79,Y)) = meet(X_190,meet(Y,X_79)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_190,meet(Y,X_79)))),bind(Y0,$fot(meet(X_190,meet(X_79,Y))))]]) ).
cnf(refute_0_2242,plain,
meet(X_190,meet(X_79,Y)) = meet(X_190,meet(Y,X_79)),
inference(resolve,[$cnf( $equal(meet(X_190,meet(Y,X_79)),meet(X_190,meet(X_79,Y))) )],[refute_0_2240,refute_0_2241]) ).
cnf(refute_0_2243,plain,
( join(meet(X_190,meet(X_79,Y)),X_188) != join(meet(meet(X_79,Y),X_190),X_188)
| meet(X_190,meet(X_79,Y)) != meet(X_190,meet(Y,X_79))
| join(meet(X_190,meet(Y,X_79)),X_188) = join(meet(meet(X_79,Y),X_190),X_188) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_190,meet(X_79,Y)),X_188),join(meet(meet(X_79,Y),X_190),X_188)) ),[0,0],$fot(meet(X_190,meet(Y,X_79)))]]) ).
cnf(refute_0_2244,plain,
( join(meet(X_190,meet(X_79,Y)),X_188) != join(meet(meet(X_79,Y),X_190),X_188)
| join(meet(X_190,meet(Y,X_79)),X_188) = join(meet(meet(X_79,Y),X_190),X_188) ),
inference(resolve,[$cnf( $equal(meet(X_190,meet(X_79,Y)),meet(X_190,meet(Y,X_79))) )],[refute_0_2242,refute_0_2243]) ).
cnf(refute_0_2245,plain,
join(meet(X_190,meet(Y,X_79)),X_188) = join(meet(meet(X_79,Y),X_190),X_188),
inference(resolve,[$cnf( $equal(join(meet(X_190,meet(X_79,Y)),X_188),join(meet(meet(X_79,Y),X_190),X_188)) )],[refute_0_2239,refute_0_2244]) ).
cnf(refute_0_2246,plain,
meet(meet(X_79,Y),X_190) = meet(X_79,meet(Y,X_190)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_79)),bind(Z,$fot(X_190))]]) ).
cnf(refute_0_2247,plain,
join(meet(meet(X_79,Y),X_190),X_188) = join(meet(meet(X_79,Y),X_190),X_188),
introduced(tautology,[refl,[$fot(join(meet(meet(X_79,Y),X_190),X_188))]]) ).
cnf(refute_0_2248,plain,
( join(meet(meet(X_79,Y),X_190),X_188) != join(meet(meet(X_79,Y),X_190),X_188)
| meet(meet(X_79,Y),X_190) != meet(X_79,meet(Y,X_190))
| join(meet(meet(X_79,Y),X_190),X_188) = join(meet(X_79,meet(Y,X_190)),X_188) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_79,Y),X_190),X_188),join(meet(meet(X_79,Y),X_190),X_188)) ),[1,0],$fot(meet(X_79,meet(Y,X_190)))]]) ).
cnf(refute_0_2249,plain,
( meet(meet(X_79,Y),X_190) != meet(X_79,meet(Y,X_190))
| join(meet(meet(X_79,Y),X_190),X_188) = join(meet(X_79,meet(Y,X_190)),X_188) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_79,Y),X_190),X_188),join(meet(meet(X_79,Y),X_190),X_188)) )],[refute_0_2247,refute_0_2248]) ).
cnf(refute_0_2250,plain,
join(meet(meet(X_79,Y),X_190),X_188) = join(meet(X_79,meet(Y,X_190)),X_188),
inference(resolve,[$cnf( $equal(meet(meet(X_79,Y),X_190),meet(X_79,meet(Y,X_190))) )],[refute_0_2246,refute_0_2249]) ).
cnf(refute_0_2251,plain,
( join(meet(X_190,meet(Y,X_79)),X_188) != join(meet(meet(X_79,Y),X_190),X_188)
| join(meet(meet(X_79,Y),X_190),X_188) != join(meet(X_79,meet(Y,X_190)),X_188)
| join(meet(X_190,meet(Y,X_79)),X_188) = join(meet(X_79,meet(Y,X_190)),X_188) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_190,meet(Y,X_79)),X_188),join(meet(X_79,meet(Y,X_190)),X_188)) ),[0],$fot(join(meet(meet(X_79,Y),X_190),X_188))]]) ).
cnf(refute_0_2252,plain,
( join(meet(X_190,meet(Y,X_79)),X_188) != join(meet(meet(X_79,Y),X_190),X_188)
| join(meet(X_190,meet(Y,X_79)),X_188) = join(meet(X_79,meet(Y,X_190)),X_188) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_79,Y),X_190),X_188),join(meet(X_79,meet(Y,X_190)),X_188)) )],[refute_0_2250,refute_0_2251]) ).
cnf(refute_0_2253,plain,
join(meet(X_190,meet(Y,X_79)),X_188) = join(meet(X_79,meet(Y,X_190)),X_188),
inference(resolve,[$cnf( $equal(join(meet(X_190,meet(Y,X_79)),X_188),join(meet(meet(X_79,Y),X_190),X_188)) )],[refute_0_2245,refute_0_2252]) ).
cnf(refute_0_2254,plain,
( join(meet(X_190,meet(Y,X_79)),X_188) != join(meet(X_79,meet(Y,X_190)),X_188)
| join(meet(X_79,meet(Y,X_190)),X_188) = join(meet(X_190,meet(Y,X_79)),X_188) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(meet(X_190,meet(Y,X_79)),X_188))),bind(Y0,$fot(join(meet(X_79,meet(Y,X_190)),X_188)))]]) ).
cnf(refute_0_2255,plain,
join(meet(X_79,meet(Y,X_190)),X_188) = join(meet(X_190,meet(Y,X_79)),X_188),
inference(resolve,[$cnf( $equal(join(meet(X_190,meet(Y,X_79)),X_188),join(meet(X_79,meet(Y,X_190)),X_188)) )],[refute_0_2253,refute_0_2254]) ).
cnf(refute_0_2256,plain,
join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),
inference(subst,[],[refute_0_2255:[bind(Y,$fot(join(X_214,X_213))),bind(X_188,$fot(meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214))))),bind(X_190,$fot(join(X_214,X_215))),bind(X_79,$fot(meet(X_215,X_214)))]]) ).
cnf(refute_0_2257,plain,
( join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))
| join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214))))
| join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))))),bind(Y0,$fot(join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))))),bind(Z0,$fot(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))))]]) ).
cnf(refute_0_2258,plain,
( join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))
| join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214))))) )],[refute_0_2256,refute_0_2257]) ).
cnf(refute_0_2259,plain,
join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),
inference(resolve,[$cnf( $equal(join(meet(join(X_214,X_215),meet(join(X_214,X_213),meet(X_215,X_214))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))) )],[refute_0_2238,refute_0_2258]) ).
cnf(refute_0_2260,plain,
( join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) != join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215)))
| join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))
| join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))))),bind(Y0,$fot(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))))),bind(Z0,$fot(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215)))))]]) ).
cnf(refute_0_2261,plain,
( join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))) != join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215)))
| join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215)))))) )],[refute_0_2259,refute_0_2260]) ).
cnf(refute_0_2262,plain,
join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) = join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),
inference(resolve,[$cnf( $equal(join(meet(X_214,meet(join(X_214,X_215),meet(join(X_214,X_213),X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))))),join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215)))) )],[refute_0_2065,refute_0_2261]) ).
cnf(refute_0_2263,plain,
( join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215)))
| join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))
| join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) = meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) ),[0],$fot(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))))]]) ).
cnf(refute_0_2264,plain,
( join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))
| join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) = meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215)))) )],[refute_0_2262,refute_0_2263]) ).
cnf(refute_0_2265,plain,
meet(join(X_214,X_213),join(X_215,X_214)) = join(X_214,meet(X_215,X_213)),
inference(subst,[],[refute_0_1793:[bind(Y,$fot(X_213)),bind(X_36,$fot(X_215)),bind(X_37,$fot(X_214))]]) ).
cnf(refute_0_2266,plain,
meet(X_42,join(X_131,X_132)) = meet(join(X_131,X_132),meet(X_42,join(Y,join(X_131,X_132)))),
inference(subst,[],[refute_0_409:[bind(X_41,$fot(join(X_131,X_132)))]]) ).
cnf(refute_0_2267,plain,
join(Y,join(X_131,X_132)) = join(X_132,join(X_131,Y)),
inference(subst,[],[refute_0_1360:[bind(X_128,$fot(X_131)),bind(X_129,$fot(X_132)),bind(X_27,$fot(Y))]]) ).
cnf(refute_0_2268,plain,
( join(Y,join(X_131,X_132)) != join(X_132,join(X_131,Y))
| meet(X_42,join(X_131,X_132)) != meet(join(X_131,X_132),meet(X_42,join(Y,join(X_131,X_132))))
| meet(X_42,join(X_131,X_132)) = meet(join(X_131,X_132),meet(X_42,join(X_132,join(X_131,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,join(X_131,X_132)),meet(join(X_131,X_132),meet(X_42,join(Y,join(X_131,X_132))))) ),[1,1,1],$fot(join(X_132,join(X_131,Y)))]]) ).
cnf(refute_0_2269,plain,
( meet(X_42,join(X_131,X_132)) != meet(join(X_131,X_132),meet(X_42,join(Y,join(X_131,X_132))))
| meet(X_42,join(X_131,X_132)) = meet(join(X_131,X_132),meet(X_42,join(X_132,join(X_131,Y)))) ),
inference(resolve,[$cnf( $equal(join(Y,join(X_131,X_132)),join(X_132,join(X_131,Y))) )],[refute_0_2267,refute_0_2268]) ).
cnf(refute_0_2270,plain,
meet(X_42,join(X_131,X_132)) = meet(join(X_131,X_132),meet(X_42,join(X_132,join(X_131,Y)))),
inference(resolve,[$cnf( $equal(meet(X_42,join(X_131,X_132)),meet(join(X_131,X_132),meet(X_42,join(Y,join(X_131,X_132))))) )],[refute_0_2266,refute_0_2269]) ).
cnf(refute_0_2271,plain,
( meet(X_42,join(X_131,X_132)) != meet(join(X_131,X_132),meet(X_42,join(X_132,join(X_131,Y))))
| meet(join(X_131,X_132),meet(X_42,join(X_132,join(X_131,Y)))) = meet(X_42,join(X_131,X_132)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_42,join(X_131,X_132)))),bind(Y0,$fot(meet(join(X_131,X_132),meet(X_42,join(X_132,join(X_131,Y))))))]]) ).
cnf(refute_0_2272,plain,
meet(join(X_131,X_132),meet(X_42,join(X_132,join(X_131,Y)))) = meet(X_42,join(X_131,X_132)),
inference(resolve,[$cnf( $equal(meet(X_42,join(X_131,X_132)),meet(join(X_131,X_132),meet(X_42,join(X_132,join(X_131,Y))))) )],[refute_0_2270,refute_0_2271]) ).
cnf(refute_0_2273,plain,
meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) = meet(join(X_214,X_213),join(X_215,X_214)),
inference(subst,[],[refute_0_2272:[bind(Y,$fot(X_14)),bind(X_131,$fot(X_215)),bind(X_132,$fot(X_214)),bind(X_42,$fot(join(X_214,X_213)))]]) ).
cnf(refute_0_2274,plain,
( meet(join(X_214,X_213),join(X_215,X_214)) != join(X_214,meet(X_215,X_213))
| meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) != meet(join(X_214,X_213),join(X_215,X_214))
| meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) = join(X_214,meet(X_215,X_213)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))))),bind(Y0,$fot(meet(join(X_214,X_213),join(X_215,X_214)))),bind(Z0,$fot(join(X_214,meet(X_215,X_213))))]]) ).
cnf(refute_0_2275,plain,
( meet(join(X_214,X_213),join(X_215,X_214)) != join(X_214,meet(X_215,X_213))
| meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) = join(X_214,meet(X_215,X_213)) ),
inference(resolve,[$cnf( $equal(meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))),meet(join(X_214,X_213),join(X_215,X_214))) )],[refute_0_2273,refute_0_2274]) ).
cnf(refute_0_2276,plain,
meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) = join(X_214,meet(X_215,X_213)),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),join(X_215,X_214)),join(X_214,meet(X_215,X_213))) )],[refute_0_2265,refute_0_2275]) ).
cnf(refute_0_2277,plain,
join(join(X_214,X_215),X_14) = join(X_214,join(X_215,X_14)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_214)),bind(Y,$fot(X_215)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_2278,plain,
meet(join(X_214,X_213),join(join(X_214,X_215),X_14)) = meet(join(X_214,X_213),join(join(X_214,X_215),X_14)),
introduced(tautology,[refl,[$fot(meet(join(X_214,X_213),join(join(X_214,X_215),X_14)))]]) ).
cnf(refute_0_2279,plain,
( join(join(X_214,X_215),X_14) != join(X_214,join(X_215,X_14))
| meet(join(X_214,X_213),join(join(X_214,X_215),X_14)) != meet(join(X_214,X_213),join(join(X_214,X_215),X_14))
| meet(join(X_214,X_213),join(join(X_214,X_215),X_14)) = meet(join(X_214,X_213),join(X_214,join(X_215,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_214,X_213),join(join(X_214,X_215),X_14)),meet(join(X_214,X_213),join(join(X_214,X_215),X_14))) ),[1,1],$fot(join(X_214,join(X_215,X_14)))]]) ).
cnf(refute_0_2280,plain,
( join(join(X_214,X_215),X_14) != join(X_214,join(X_215,X_14))
| meet(join(X_214,X_213),join(join(X_214,X_215),X_14)) = meet(join(X_214,X_213),join(X_214,join(X_215,X_14))) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),join(join(X_214,X_215),X_14)),meet(join(X_214,X_213),join(join(X_214,X_215),X_14))) )],[refute_0_2278,refute_0_2279]) ).
cnf(refute_0_2281,plain,
meet(join(X_214,X_213),join(join(X_214,X_215),X_14)) = meet(join(X_214,X_213),join(X_214,join(X_215,X_14))),
inference(resolve,[$cnf( $equal(join(join(X_214,X_215),X_14),join(X_214,join(X_215,X_14))) )],[refute_0_2277,refute_0_2280]) ).
cnf(refute_0_2282,plain,
join(meet(X_37,Y),meet(X_36,X_37)) = meet(X_37,join(Y,X_36)),
inference(subst,[],[refute_0_1684:[bind(Y,$fot(X_36)),bind(X_38,$fot(Y)),bind(X_39,$fot(X_37))]]) ).
cnf(refute_0_2283,plain,
( join(meet(X_37,Y),meet(X_36,X_37)) != meet(X_37,join(Y,X_36))
| join(meet(X_37,Y),meet(X_36,X_37)) != meet(X_37,join(meet(X_37,Y),X_36))
| meet(X_37,join(Y,X_36)) = meet(X_37,join(meet(X_37,Y),X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_37,Y),meet(X_36,X_37)),meet(X_37,join(meet(X_37,Y),X_36))) ),[0],$fot(meet(X_37,join(Y,X_36)))]]) ).
cnf(refute_0_2284,plain,
( join(meet(X_37,Y),meet(X_36,X_37)) != meet(X_37,join(meet(X_37,Y),X_36))
| meet(X_37,join(Y,X_36)) = meet(X_37,join(meet(X_37,Y),X_36)) ),
inference(resolve,[$cnf( $equal(join(meet(X_37,Y),meet(X_36,X_37)),meet(X_37,join(Y,X_36))) )],[refute_0_2282,refute_0_2283]) ).
cnf(refute_0_2285,plain,
meet(X_37,join(Y,X_36)) = meet(X_37,join(meet(X_37,Y),X_36)),
inference(resolve,[$cnf( $equal(join(meet(X_37,Y),meet(X_36,X_37)),meet(X_37,join(meet(X_37,Y),X_36))) )],[refute_0_1055,refute_0_2284]) ).
cnf(refute_0_2286,plain,
( meet(X_37,join(Y,X_36)) != meet(X_37,join(meet(X_37,Y),X_36))
| meet(X_37,join(meet(X_37,Y),X_36)) = meet(X_37,join(Y,X_36)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_37,join(Y,X_36)))),bind(Y0,$fot(meet(X_37,join(meet(X_37,Y),X_36))))]]) ).
cnf(refute_0_2287,plain,
meet(X_37,join(meet(X_37,Y),X_36)) = meet(X_37,join(Y,X_36)),
inference(resolve,[$cnf( $equal(meet(X_37,join(Y,X_36)),meet(X_37,join(meet(X_37,Y),X_36))) )],[refute_0_2285,refute_0_2286]) ).
cnf(refute_0_2288,plain,
meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) = meet(join(X_214,X_213),join(join(X_214,X_215),X_14)),
inference(subst,[],[refute_0_2287:[bind(Y,$fot(join(X_214,X_215))),bind(X_36,$fot(X_14)),bind(X_37,$fot(join(X_214,X_213)))]]) ).
cnf(refute_0_2289,plain,
( meet(join(X_214,X_213),join(join(X_214,X_215),X_14)) != meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))
| meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) != meet(join(X_214,X_213),join(join(X_214,X_215),X_14))
| meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) = meet(join(X_214,X_213),join(X_214,join(X_215,X_14))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)))),bind(Y0,$fot(meet(join(X_214,X_213),join(join(X_214,X_215),X_14)))),bind(Z0,$fot(meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))))]]) ).
cnf(refute_0_2290,plain,
( meet(join(X_214,X_213),join(join(X_214,X_215),X_14)) != meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))
| meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) = meet(join(X_214,X_213),join(X_214,join(X_215,X_14))) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)),meet(join(X_214,X_213),join(join(X_214,X_215),X_14))) )],[refute_0_2288,refute_0_2289]) ).
cnf(refute_0_2291,plain,
meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) = meet(join(X_214,X_213),join(X_214,join(X_215,X_14))),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),join(join(X_214,X_215),X_14)),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) )],[refute_0_2281,refute_0_2290]) ).
cnf(refute_0_2292,plain,
meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) = meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))),
introduced(tautology,[refl,[$fot(meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))))]]) ).
cnf(refute_0_2293,plain,
( meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) != meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))
| meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) != meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)))
| meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) = meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))),meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)))) ),[1,1],$fot(meet(join(X_214,X_213),join(X_214,join(X_215,X_14))))]]) ).
cnf(refute_0_2294,plain,
( meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) != meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))
| meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) = meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))),meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)))) )],[refute_0_2292,refute_0_2293]) ).
cnf(refute_0_2295,plain,
meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) = meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) )],[refute_0_2291,refute_0_2294]) ).
cnf(refute_0_2296,plain,
( meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) != join(X_214,meet(X_215,X_213))
| meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) != meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14))))
| meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) = join(X_214,meet(X_215,X_213)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))))),bind(Y0,$fot(meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))))),bind(Z0,$fot(join(X_214,meet(X_215,X_213))))]]) ).
cnf(refute_0_2297,plain,
( meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))) != join(X_214,meet(X_215,X_213))
| meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) = join(X_214,meet(X_215,X_213)) ),
inference(resolve,[$cnf( $equal(meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))),meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14))))) )],[refute_0_2295,refute_0_2296]) ).
cnf(refute_0_2298,plain,
meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) = join(X_214,meet(X_215,X_213)),
inference(resolve,[$cnf( $equal(meet(join(X_215,X_214),meet(join(X_214,X_213),join(X_214,join(X_215,X_14)))),join(X_214,meet(X_215,X_213))) )],[refute_0_2276,refute_0_2297]) ).
cnf(refute_0_2299,plain,
meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) = meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(join(X_215,X_214))),bind(Y,$fot(join(X_214,X_213))),bind(Z,$fot(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)))]]) ).
cnf(refute_0_2300,plain,
( meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) != join(X_214,meet(X_215,X_213))
| meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) != meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)))
| meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) = join(X_214,meet(X_215,X_213)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)))),bind(Y0,$fot(meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))))),bind(Z0,$fot(join(X_214,meet(X_215,X_213))))]]) ).
cnf(refute_0_2301,plain,
( meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) != join(X_214,meet(X_215,X_213))
| meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) = join(X_214,meet(X_215,X_213)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)),meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)))) )],[refute_0_2299,refute_0_2300]) ).
cnf(refute_0_2302,plain,
meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) = join(X_214,meet(X_215,X_213)),
inference(resolve,[$cnf( $equal(meet(join(X_215,X_214),meet(join(X_214,X_213),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))),join(X_214,meet(X_215,X_213))) )],[refute_0_2298,refute_0_2301]) ).
cnf(refute_0_2303,plain,
( join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) != meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))
| meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)) != join(X_214,meet(X_215,X_213))
| join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) = join(X_214,meet(X_215,X_213)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),join(X_214,meet(X_215,X_213))) ),[0],$fot(meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)))]]) ).
cnf(refute_0_2304,plain,
( join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) != meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))
| join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) = join(X_214,meet(X_215,X_213)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14)),join(X_214,meet(X_215,X_213))) )],[refute_0_2302,refute_0_2303]) ).
cnf(refute_0_2305,plain,
( join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))) != meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))
| join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) = join(X_214,meet(X_215,X_213)) ),
inference(resolve,[$cnf( $equal(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) )],[refute_0_2264,refute_0_2304]) ).
cnf(refute_0_2306,plain,
join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) = join(X_214,meet(X_215,X_213)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_215,X_214),meet(join(X_214,X_213),join(X_214,X_215))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),X_14),join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)))),meet(meet(join(X_215,X_214),join(X_214,X_213)),join(meet(join(X_214,X_213),join(X_214,X_215)),X_14))) )],[refute_0_2006,refute_0_2305]) ).
cnf(refute_0_2307,plain,
meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105) = meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105),
introduced(tautology,[refl,[$fot(meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105))]]) ).
cnf(refute_0_2308,plain,
( join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) != join(X_214,meet(X_215,X_213))
| meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105) != meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105)
| meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105) = meet(join(X_214,meet(X_215,X_213)),X_105) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105),meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105)) ),[1,0],$fot(join(X_214,meet(X_215,X_213)))]]) ).
cnf(refute_0_2309,plain,
( join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))) != join(X_214,meet(X_215,X_213))
| meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105) = meet(join(X_214,meet(X_215,X_213)),X_105) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105),meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105)) )],[refute_0_2307,refute_0_2308]) ).
cnf(refute_0_2310,plain,
meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105) = meet(join(X_214,meet(X_215,X_213)),X_105),
inference(resolve,[$cnf( $equal(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),join(X_214,meet(X_215,X_213))) )],[refute_0_2306,refute_0_2309]) ).
cnf(refute_0_2311,plain,
meet(meet(join(X_25,X_26),X_107),join(X_25,join(X_26,meet(join(X_25,X_26),X_107)))) = meet(join(X_25,X_26),X_107),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(join(X_25,X_26),X_107)))]]) ).
cnf(refute_0_2312,plain,
join(X_25,join(X_26,meet(join(X_25,X_26),X_107))) = join(X_25,X_26),
inference(subst,[],[refute_0_89:[bind(Y,$fot(X_107))]]) ).
cnf(refute_0_2313,plain,
( join(X_25,join(X_26,meet(join(X_25,X_26),X_107))) != join(X_25,X_26)
| meet(meet(join(X_25,X_26),X_107),join(X_25,join(X_26,meet(join(X_25,X_26),X_107)))) != meet(join(X_25,X_26),X_107)
| meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) = meet(join(X_25,X_26),X_107) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_25,X_26),X_107),join(X_25,join(X_26,meet(join(X_25,X_26),X_107)))),meet(join(X_25,X_26),X_107)) ),[0,1],$fot(join(X_25,X_26))]]) ).
cnf(refute_0_2314,plain,
( meet(meet(join(X_25,X_26),X_107),join(X_25,join(X_26,meet(join(X_25,X_26),X_107)))) != meet(join(X_25,X_26),X_107)
| meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) = meet(join(X_25,X_26),X_107) ),
inference(resolve,[$cnf( $equal(join(X_25,join(X_26,meet(join(X_25,X_26),X_107))),join(X_25,X_26)) )],[refute_0_2312,refute_0_2313]) ).
cnf(refute_0_2315,plain,
meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) = meet(join(X_25,X_26),X_107),
inference(resolve,[$cnf( $equal(meet(meet(join(X_25,X_26),X_107),join(X_25,join(X_26,meet(join(X_25,X_26),X_107)))),meet(join(X_25,X_26),X_107)) )],[refute_0_2311,refute_0_2314]) ).
cnf(refute_0_2316,plain,
meet(join(X_26,X_25),meet(join(X_25,X_26),X_107)) = meet(join(X_26,X_25),X_107),
inference(subst,[],[refute_0_1711:[bind(Z,$fot(X_107)),bind(X_28,$fot(X_25)),bind(X_29,$fot(X_26))]]) ).
cnf(refute_0_2317,plain,
meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) = meet(join(X_26,X_25),meet(join(X_25,X_26),X_107)),
inference(subst,[],[refute_0_1715:[bind(Y,$fot(X_26)),bind(X_105,$fot(meet(join(X_25,X_26),X_107))),bind(X_14,$fot(X_25))]]) ).
cnf(refute_0_2318,plain,
( meet(join(X_26,X_25),meet(join(X_25,X_26),X_107)) != meet(join(X_26,X_25),X_107)
| meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) != meet(join(X_26,X_25),meet(join(X_25,X_26),X_107))
| meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) = meet(join(X_26,X_25),X_107) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)))),bind(Y0,$fot(meet(join(X_26,X_25),meet(join(X_25,X_26),X_107)))),bind(Z0,$fot(meet(join(X_26,X_25),X_107)))]]) ).
cnf(refute_0_2319,plain,
( meet(join(X_26,X_25),meet(join(X_25,X_26),X_107)) != meet(join(X_26,X_25),X_107)
| meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) = meet(join(X_26,X_25),X_107) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)),meet(join(X_26,X_25),meet(join(X_25,X_26),X_107))) )],[refute_0_2317,refute_0_2318]) ).
cnf(refute_0_2320,plain,
meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) = meet(join(X_26,X_25),X_107),
inference(resolve,[$cnf( $equal(meet(join(X_26,X_25),meet(join(X_25,X_26),X_107)),meet(join(X_26,X_25),X_107)) )],[refute_0_2316,refute_0_2319]) ).
cnf(refute_0_2321,plain,
( meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) != meet(join(X_25,X_26),X_107)
| meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) != meet(join(X_26,X_25),X_107)
| meet(join(X_26,X_25),X_107) = meet(join(X_25,X_26),X_107) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)),meet(join(X_25,X_26),X_107)) ),[0],$fot(meet(join(X_26,X_25),X_107))]]) ).
cnf(refute_0_2322,plain,
( meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)) != meet(join(X_25,X_26),X_107)
| meet(join(X_26,X_25),X_107) = meet(join(X_25,X_26),X_107) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)),meet(join(X_26,X_25),X_107)) )],[refute_0_2320,refute_0_2321]) ).
cnf(refute_0_2323,plain,
meet(join(X_26,X_25),X_107) = meet(join(X_25,X_26),X_107),
inference(resolve,[$cnf( $equal(meet(meet(join(X_25,X_26),X_107),join(X_25,X_26)),meet(join(X_25,X_26),X_107)) )],[refute_0_2315,refute_0_2322]) ).
cnf(refute_0_2324,plain,
meet(join(X_26,meet(X_190,X_189)),X_107) = meet(join(meet(X_190,X_189),X_26),X_107),
inference(subst,[],[refute_0_2323:[bind(X_25,$fot(meet(X_190,X_189)))]]) ).
cnf(refute_0_2325,plain,
join(meet(X_190,X_189),X_26) = join(meet(X_189,X_190),X_26),
inference(subst,[],[refute_0_1981:[bind(X_143,$fot(X_26)),bind(X_144,$fot(X_189)),bind(X_145,$fot(X_190))]]) ).
cnf(refute_0_2326,plain,
( join(meet(X_190,X_189),X_26) != join(meet(X_189,X_190),X_26)
| meet(join(X_26,meet(X_190,X_189)),X_107) != meet(join(meet(X_190,X_189),X_26),X_107)
| meet(join(X_26,meet(X_190,X_189)),X_107) = meet(join(meet(X_189,X_190),X_26),X_107) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_26,meet(X_190,X_189)),X_107),meet(join(meet(X_190,X_189),X_26),X_107)) ),[1,0],$fot(join(meet(X_189,X_190),X_26))]]) ).
cnf(refute_0_2327,plain,
( meet(join(X_26,meet(X_190,X_189)),X_107) != meet(join(meet(X_190,X_189),X_26),X_107)
| meet(join(X_26,meet(X_190,X_189)),X_107) = meet(join(meet(X_189,X_190),X_26),X_107) ),
inference(resolve,[$cnf( $equal(join(meet(X_190,X_189),X_26),join(meet(X_189,X_190),X_26)) )],[refute_0_2325,refute_0_2326]) ).
cnf(refute_0_2328,plain,
meet(join(X_26,meet(X_190,X_189)),X_107) = meet(join(meet(X_189,X_190),X_26),X_107),
inference(resolve,[$cnf( $equal(meet(join(X_26,meet(X_190,X_189)),X_107),meet(join(meet(X_190,X_189),X_26),X_107)) )],[refute_0_2324,refute_0_2327]) ).
cnf(refute_0_2329,plain,
meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105) = meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105),
inference(subst,[],[refute_0_2328:[bind(X_107,$fot(X_105)),bind(X_189,$fot(X_214)),bind(X_190,$fot(X_215)),bind(X_26,$fot(meet(join(X_214,X_213),join(X_214,X_215))))]]) ).
cnf(refute_0_2330,plain,
( meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105) != meet(join(X_214,meet(X_215,X_213)),X_105)
| meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105) != meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105)
| meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105) = meet(join(X_214,meet(X_215,X_213)),X_105) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105))),bind(Y0,$fot(meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105))),bind(Z0,$fot(meet(join(X_214,meet(X_215,X_213)),X_105)))]]) ).
cnf(refute_0_2331,plain,
( meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105) != meet(join(X_214,meet(X_215,X_213)),X_105)
| meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105) = meet(join(X_214,meet(X_215,X_213)),X_105) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105),meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105)) )],[refute_0_2329,refute_0_2330]) ).
cnf(refute_0_2332,plain,
meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105) = meet(join(X_214,meet(X_215,X_213)),X_105),
inference(resolve,[$cnf( $equal(meet(join(meet(X_214,X_215),meet(join(X_214,X_213),join(X_214,X_215))),X_105),meet(join(X_214,meet(X_215,X_213)),X_105)) )],[refute_0_2310,refute_0_2331]) ).
cnf(refute_0_2333,plain,
( meet(X_105,meet(join(X_215,X_214),join(X_214,X_213))) != meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105)
| meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105) != meet(join(X_214,meet(X_215,X_213)),X_105)
| meet(X_105,meet(join(X_215,X_214),join(X_214,X_213))) = meet(join(X_214,meet(X_215,X_213)),X_105) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_105,meet(join(X_215,X_214),join(X_214,X_213))),meet(join(X_214,meet(X_215,X_213)),X_105)) ),[0],$fot(meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105))]]) ).
cnf(refute_0_2334,plain,
( meet(X_105,meet(join(X_215,X_214),join(X_214,X_213))) != meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105)
| meet(X_105,meet(join(X_215,X_214),join(X_214,X_213))) = meet(join(X_214,meet(X_215,X_213)),X_105) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105),meet(join(X_214,meet(X_215,X_213)),X_105)) )],[refute_0_2332,refute_0_2333]) ).
cnf(refute_0_2335,plain,
meet(X_105,meet(join(X_215,X_214),join(X_214,X_213))) = meet(join(X_214,meet(X_215,X_213)),X_105),
inference(resolve,[$cnf( $equal(meet(X_105,meet(join(X_215,X_214),join(X_214,X_213))),meet(join(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_215,X_214)),X_105)) )],[refute_0_2002,refute_0_2334]) ).
cnf(refute_0_2336,plain,
meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))) = meet(join(X_214,meet(X_215,X_213)),X_42),
inference(subst,[],[refute_0_2335:[bind(X_105,$fot(X_42))]]) ).
cnf(refute_0_2337,plain,
meet(X_214,X_214) = X_214,
inference(subst,[],[idempotence_of_meet:[bind(X,$fot(X_214))]]) ).
cnf(refute_0_2338,plain,
join(X_215,meet(X_214,X_214)) = join(X_215,meet(X_214,X_214)),
introduced(tautology,[refl,[$fot(join(X_215,meet(X_214,X_214)))]]) ).
cnf(refute_0_2339,plain,
( join(X_215,meet(X_214,X_214)) != join(X_215,meet(X_214,X_214))
| meet(X_214,X_214) != X_214
| join(X_215,meet(X_214,X_214)) = join(X_215,X_214) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_215,meet(X_214,X_214)),join(X_215,meet(X_214,X_214))) ),[1,1],$fot(X_214)]]) ).
cnf(refute_0_2340,plain,
( meet(X_214,X_214) != X_214
| join(X_215,meet(X_214,X_214)) = join(X_215,X_214) ),
inference(resolve,[$cnf( $equal(join(X_215,meet(X_214,X_214)),join(X_215,meet(X_214,X_214))) )],[refute_0_2338,refute_0_2339]) ).
cnf(refute_0_2341,plain,
join(X_215,meet(X_214,X_214)) = join(X_215,X_214),
inference(resolve,[$cnf( $equal(meet(X_214,X_214),X_214) )],[refute_0_2337,refute_0_2340]) ).
cnf(refute_0_2342,plain,
meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)) = meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)),
introduced(tautology,[refl,[$fot(meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)))]]) ).
cnf(refute_0_2343,plain,
( join(X_215,meet(X_214,X_214)) != join(X_215,X_214)
| meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)) != meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213))
| meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)) = meet(join(X_215,X_214),join(X_214,X_213)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)),meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213))) ),[1,0],$fot(join(X_215,X_214))]]) ).
cnf(refute_0_2344,plain,
( join(X_215,meet(X_214,X_214)) != join(X_215,X_214)
| meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)) = meet(join(X_215,X_214),join(X_214,X_213)) ),
inference(resolve,[$cnf( $equal(meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)),meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213))) )],[refute_0_2342,refute_0_2343]) ).
cnf(refute_0_2345,plain,
meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)) = meet(join(X_215,X_214),join(X_214,X_213)),
inference(resolve,[$cnf( $equal(join(X_215,meet(X_214,X_214)),join(X_215,X_214)) )],[refute_0_2341,refute_0_2344]) ).
cnf(refute_0_2346,plain,
meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))) = meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)),
inference(subst,[],[refute_0_2335:[bind(X_105,$fot(join(X_214,X_213))),bind(X_213,$fot(X_214)),bind(X_214,$fot(X_215)),bind(X_215,$fot(X_214))]]) ).
cnf(refute_0_2347,plain,
( meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))) != meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213))
| meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)) != meet(join(X_215,X_214),join(X_214,X_213))
| meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))) = meet(join(X_215,X_214),join(X_214,X_213)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))),bind(Y0,$fot(meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)))),bind(Z0,$fot(meet(join(X_215,X_214),join(X_214,X_213))))]]) ).
cnf(refute_0_2348,plain,
( meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)) != meet(join(X_215,X_214),join(X_214,X_213))
| meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))) = meet(join(X_215,X_214),join(X_214,X_213)) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))),meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213))) )],[refute_0_2346,refute_0_2347]) ).
cnf(refute_0_2349,plain,
meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))) = meet(join(X_215,X_214),join(X_214,X_213)),
inference(resolve,[$cnf( $equal(meet(join(X_215,meet(X_214,X_214)),join(X_214,X_213)),meet(join(X_215,X_214),join(X_214,X_213))) )],[refute_0_2345,refute_0_2348]) ).
cnf(refute_0_2350,plain,
meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) = meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))),
introduced(tautology,[refl,[$fot(meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))))]]) ).
cnf(refute_0_2351,plain,
( meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) != meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))
| meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))) != meet(join(X_215,X_214),join(X_214,X_213))
| meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) = meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))),meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))) ),[1,1],$fot(meet(join(X_215,X_214),join(X_214,X_213)))]]) ).
cnf(refute_0_2352,plain,
( meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))) != meet(join(X_215,X_214),join(X_214,X_213))
| meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) = meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))) ),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))),meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))) )],[refute_0_2350,refute_0_2351]) ).
cnf(refute_0_2353,plain,
meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) = meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))),meet(join(X_215,X_214),join(X_214,X_213))) )],[refute_0_2349,refute_0_2352]) ).
cnf(refute_0_2354,plain,
( meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) != meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))
| meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))) != meet(join(X_214,meet(X_215,X_213)),X_42)
| meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) = meet(join(X_214,meet(X_215,X_213)),X_42) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))))),bind(Y0,$fot(meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))))),bind(Z0,$fot(meet(join(X_214,meet(X_215,X_213)),X_42)))]]) ).
cnf(refute_0_2355,plain,
( meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))) != meet(join(X_214,meet(X_215,X_213)),X_42)
| meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) = meet(join(X_214,meet(X_215,X_213)),X_42) ),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) )],[refute_0_2353,refute_0_2354]) ).
cnf(refute_0_2356,plain,
meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) = meet(join(X_214,meet(X_215,X_213)),X_42),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))),meet(join(X_214,meet(X_215,X_213)),X_42)) )],[refute_0_2336,refute_0_2355]) ).
cnf(refute_0_2357,plain,
meet(meet(X_32,meet(X_77,X_33)),X_79) = meet(meet(X_32,meet(X_77,X_33)),meet(join(X_77,meet(X_32,meet(X_77,X_33))),X_79)),
inference(subst,[],[refute_0_645:[bind(Y,$fot(X_77)),bind(X_22,$fot(meet(X_32,meet(X_77,X_33)))),bind(X_24,$fot(X_79))]]) ).
cnf(refute_0_2358,plain,
join(X_77,meet(X_32,meet(X_77,X_33))) = X_77,
inference(subst,[],[refute_0_230:[bind(X_34,$fot(X_77))]]) ).
cnf(refute_0_2359,plain,
( join(X_77,meet(X_32,meet(X_77,X_33))) != X_77
| meet(meet(X_32,meet(X_77,X_33)),X_79) != meet(meet(X_32,meet(X_77,X_33)),meet(join(X_77,meet(X_32,meet(X_77,X_33))),X_79))
| meet(meet(X_32,meet(X_77,X_33)),X_79) = meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_32,meet(X_77,X_33)),X_79),meet(meet(X_32,meet(X_77,X_33)),meet(join(X_77,meet(X_32,meet(X_77,X_33))),X_79))) ),[1,1,0],$fot(X_77)]]) ).
cnf(refute_0_2360,plain,
( meet(meet(X_32,meet(X_77,X_33)),X_79) != meet(meet(X_32,meet(X_77,X_33)),meet(join(X_77,meet(X_32,meet(X_77,X_33))),X_79))
| meet(meet(X_32,meet(X_77,X_33)),X_79) = meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79)) ),
inference(resolve,[$cnf( $equal(join(X_77,meet(X_32,meet(X_77,X_33))),X_77) )],[refute_0_2358,refute_0_2359]) ).
cnf(refute_0_2361,plain,
meet(meet(X_32,meet(X_77,X_33)),X_79) = meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79)),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_77,X_33)),X_79),meet(meet(X_32,meet(X_77,X_33)),meet(join(X_77,meet(X_32,meet(X_77,X_33))),X_79))) )],[refute_0_2357,refute_0_2360]) ).
cnf(refute_0_2362,plain,
meet(meet(X_77,X_33),X_79) = meet(X_77,meet(X_33,X_79)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_77)),bind(Y,$fot(X_33)),bind(Z,$fot(X_79))]]) ).
cnf(refute_0_2363,plain,
meet(X_32,meet(meet(X_77,X_33),X_79)) = meet(X_32,meet(meet(X_77,X_33),X_79)),
introduced(tautology,[refl,[$fot(meet(X_32,meet(meet(X_77,X_33),X_79)))]]) ).
cnf(refute_0_2364,plain,
( meet(X_32,meet(meet(X_77,X_33),X_79)) != meet(X_32,meet(meet(X_77,X_33),X_79))
| meet(meet(X_77,X_33),X_79) != meet(X_77,meet(X_33,X_79))
| meet(X_32,meet(meet(X_77,X_33),X_79)) = meet(X_32,meet(X_77,meet(X_33,X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_32,meet(meet(X_77,X_33),X_79)),meet(X_32,meet(meet(X_77,X_33),X_79))) ),[1,1],$fot(meet(X_77,meet(X_33,X_79)))]]) ).
cnf(refute_0_2365,plain,
( meet(meet(X_77,X_33),X_79) != meet(X_77,meet(X_33,X_79))
| meet(X_32,meet(meet(X_77,X_33),X_79)) = meet(X_32,meet(X_77,meet(X_33,X_79))) ),
inference(resolve,[$cnf( $equal(meet(X_32,meet(meet(X_77,X_33),X_79)),meet(X_32,meet(meet(X_77,X_33),X_79))) )],[refute_0_2363,refute_0_2364]) ).
cnf(refute_0_2366,plain,
meet(X_32,meet(meet(X_77,X_33),X_79)) = meet(X_32,meet(X_77,meet(X_33,X_79))),
inference(resolve,[$cnf( $equal(meet(meet(X_77,X_33),X_79),meet(X_77,meet(X_33,X_79))) )],[refute_0_2362,refute_0_2365]) ).
cnf(refute_0_2367,plain,
meet(meet(X_32,meet(X_77,X_33)),X_79) = meet(X_32,meet(meet(X_77,X_33),X_79)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_32)),bind(Y,$fot(meet(X_77,X_33))),bind(Z,$fot(X_79))]]) ).
cnf(refute_0_2368,plain,
( meet(X_32,meet(meet(X_77,X_33),X_79)) != meet(X_32,meet(X_77,meet(X_33,X_79)))
| meet(meet(X_32,meet(X_77,X_33)),X_79) != meet(X_32,meet(meet(X_77,X_33),X_79))
| meet(meet(X_32,meet(X_77,X_33)),X_79) = meet(X_32,meet(X_77,meet(X_33,X_79))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_32,meet(X_77,X_33)),X_79))),bind(Y0,$fot(meet(X_32,meet(meet(X_77,X_33),X_79)))),bind(Z0,$fot(meet(X_32,meet(X_77,meet(X_33,X_79)))))]]) ).
cnf(refute_0_2369,plain,
( meet(X_32,meet(meet(X_77,X_33),X_79)) != meet(X_32,meet(X_77,meet(X_33,X_79)))
| meet(meet(X_32,meet(X_77,X_33)),X_79) = meet(X_32,meet(X_77,meet(X_33,X_79))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_77,X_33)),X_79),meet(X_32,meet(meet(X_77,X_33),X_79))) )],[refute_0_2367,refute_0_2368]) ).
cnf(refute_0_2370,plain,
meet(meet(X_32,meet(X_77,X_33)),X_79) = meet(X_32,meet(X_77,meet(X_33,X_79))),
inference(resolve,[$cnf( $equal(meet(X_32,meet(meet(X_77,X_33),X_79)),meet(X_32,meet(X_77,meet(X_33,X_79)))) )],[refute_0_2366,refute_0_2369]) ).
cnf(refute_0_2371,plain,
( meet(meet(X_32,meet(X_77,X_33)),X_79) != meet(X_32,meet(X_77,meet(X_33,X_79)))
| meet(meet(X_32,meet(X_77,X_33)),X_79) != meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79))
| meet(X_32,meet(X_77,meet(X_33,X_79))) = meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_32,meet(X_77,X_33)),X_79),meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79))) ),[0],$fot(meet(X_32,meet(X_77,meet(X_33,X_79))))]]) ).
cnf(refute_0_2372,plain,
( meet(meet(X_32,meet(X_77,X_33)),X_79) != meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79))
| meet(X_32,meet(X_77,meet(X_33,X_79))) = meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_77,X_33)),X_79),meet(X_32,meet(X_77,meet(X_33,X_79)))) )],[refute_0_2370,refute_0_2371]) ).
cnf(refute_0_2373,plain,
meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79)) = meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33)))),
inference(subst,[],[refute_0_692:[bind(X_41,$fot(X_77)),bind(X_43,$fot(X_79)),bind(X_7,$fot(meet(X_32,meet(X_77,X_33))))]]) ).
cnf(refute_0_2374,plain,
( meet(X_32,meet(X_77,meet(X_33,X_79))) != meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79))
| meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79)) != meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33))))
| meet(X_32,meet(X_77,meet(X_33,X_79))) = meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_32,meet(X_77,meet(X_33,X_79))),meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33))))) ),[0],$fot(meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79)))]]) ).
cnf(refute_0_2375,plain,
( meet(X_32,meet(X_77,meet(X_33,X_79))) != meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79))
| meet(X_32,meet(X_77,meet(X_33,X_79))) = meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33)))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79)),meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33))))) )],[refute_0_2373,refute_0_2374]) ).
cnf(refute_0_2376,plain,
( meet(meet(X_32,meet(X_77,X_33)),X_79) != meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79))
| meet(X_32,meet(X_77,meet(X_33,X_79))) = meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33)))) ),
inference(resolve,[$cnf( $equal(meet(X_32,meet(X_77,meet(X_33,X_79))),meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79))) )],[refute_0_2372,refute_0_2375]) ).
cnf(refute_0_2377,plain,
meet(X_32,meet(X_77,meet(X_33,X_79))) = meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33)))),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_77,X_33)),X_79),meet(meet(X_32,meet(X_77,X_33)),meet(X_77,X_79))) )],[refute_0_2361,refute_0_2376]) ).
cnf(refute_0_2378,plain,
( meet(X_32,meet(X_77,meet(X_33,X_79))) != meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33))))
| meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33)))) = meet(X_32,meet(X_77,meet(X_33,X_79))) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_32,meet(X_77,meet(X_33,X_79))))),bind(Y0,$fot(meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33))))))]]) ).
cnf(refute_0_2379,plain,
meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33)))) = meet(X_32,meet(X_77,meet(X_33,X_79))),
inference(resolve,[$cnf( $equal(meet(X_32,meet(X_77,meet(X_33,X_79))),meet(X_77,meet(X_79,meet(X_32,meet(X_77,X_33))))) )],[refute_0_2377,refute_0_2378]) ).
cnf(refute_0_2380,plain,
meet(join(X_214,X_213),meet(join(X_215,X_214),meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))))) = meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))),
inference(subst,[],[refute_0_2379:[bind(X_32,$fot(X_42)),bind(X_33,$fot(join(X_214,X_215))),bind(X_77,$fot(join(X_214,X_213))),bind(X_79,$fot(join(X_215,X_214)))]]) ).
cnf(refute_0_2381,plain,
meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))) = meet(join(X_214,X_213),meet(join(X_215,X_214),meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))))),
inference(subst,[],[refute_0_2051:[bind(X_101,$fot(X_42)),bind(X_103,$fot(meet(join(X_214,X_213),join(X_214,X_215)))),bind(X_182,$fot(join(X_214,X_213))),bind(X_183,$fot(join(X_215,X_214)))]]) ).
cnf(refute_0_2382,plain,
( meet(join(X_214,X_213),meet(join(X_215,X_214),meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))))) != meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))
| meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))) != meet(join(X_214,X_213),meet(join(X_215,X_214),meet(X_42,meet(join(X_214,X_213),join(X_214,X_215)))))
| meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))) = meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))))),bind(Y0,$fot(meet(join(X_214,X_213),meet(join(X_215,X_214),meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))))))),bind(Z0,$fot(meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))))]]) ).
cnf(refute_0_2383,plain,
( meet(join(X_214,X_213),meet(join(X_215,X_214),meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))))) != meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))
| meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))) = meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))),meet(join(X_214,X_213),meet(join(X_215,X_214),meet(X_42,meet(join(X_214,X_213),join(X_214,X_215)))))) )],[refute_0_2381,refute_0_2382]) ).
cnf(refute_0_2384,plain,
meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))) = meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),meet(join(X_215,X_214),meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))))),meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))) )],[refute_0_2380,refute_0_2383]) ).
cnf(refute_0_2385,plain,
meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)) = meet(X_22,meet(X_23,join(X_68,join(X_23,X_69)))),
inference(subst,[],[refute_0_199:[bind(X,$fot(join(X_68,join(X_23,X_69))))]]) ).
cnf(refute_0_2386,plain,
meet(X_23,join(X_68,join(X_23,X_69))) = X_23,
inference(subst,[],[refute_0_1542:[bind(Y,$fot(X_68)),bind(X_38,$fot(X_69)),bind(X_39,$fot(X_23))]]) ).
cnf(refute_0_2387,plain,
( meet(X_23,join(X_68,join(X_23,X_69))) != X_23
| meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)) != meet(X_22,meet(X_23,join(X_68,join(X_23,X_69))))
| meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)) = meet(X_22,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)),meet(X_22,meet(X_23,join(X_68,join(X_23,X_69))))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_2388,plain,
( meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)) != meet(X_22,meet(X_23,join(X_68,join(X_23,X_69))))
| meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)) = meet(X_22,X_23) ),
inference(resolve,[$cnf( $equal(meet(X_23,join(X_68,join(X_23,X_69))),X_23) )],[refute_0_2386,refute_0_2387]) ).
cnf(refute_0_2389,plain,
meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)) = meet(X_22,X_23),
inference(resolve,[$cnf( $equal(meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)),meet(X_22,meet(X_23,join(X_68,join(X_23,X_69))))) )],[refute_0_2385,refute_0_2388]) ).
cnf(refute_0_2390,plain,
meet(X_24,meet(X_22,X_23)) = meet(X_22,meet(X_23,X_24)),
inference(subst,[],[refute_0_199:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_2391,plain,
( meet(X_24,meet(X_22,X_23)) != meet(X_22,meet(X_23,X_24))
| meet(X_22,meet(X_23,X_24)) = meet(X_24,meet(X_22,X_23)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_24,meet(X_22,X_23)))),bind(Y0,$fot(meet(X_22,meet(X_23,X_24))))]]) ).
cnf(refute_0_2392,plain,
meet(X_22,meet(X_23,X_24)) = meet(X_24,meet(X_22,X_23)),
inference(resolve,[$cnf( $equal(meet(X_24,meet(X_22,X_23)),meet(X_22,meet(X_23,X_24))) )],[refute_0_2390,refute_0_2391]) ).
cnf(refute_0_2393,plain,
( meet(X_22,meet(X_23,X_24)) != meet(X_24,meet(X_22,X_23))
| meet(X_23,meet(X_22,X_24)) != meet(X_22,meet(X_23,X_24))
| meet(X_23,meet(X_22,X_24)) = meet(X_24,meet(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_23,meet(X_22,X_24)),meet(X_22,meet(X_23,X_24))) ),[1],$fot(meet(X_24,meet(X_22,X_23)))]]) ).
cnf(refute_0_2394,plain,
( meet(X_23,meet(X_22,X_24)) != meet(X_22,meet(X_23,X_24))
| meet(X_23,meet(X_22,X_24)) = meet(X_24,meet(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(X_23,X_24)),meet(X_24,meet(X_22,X_23))) )],[refute_0_2392,refute_0_2393]) ).
cnf(refute_0_2395,plain,
meet(X_23,meet(X_22,X_24)) = meet(X_24,meet(X_22,X_23)),
inference(resolve,[$cnf( $equal(meet(X_23,meet(X_22,X_24)),meet(X_22,meet(X_23,X_24))) )],[refute_0_183,refute_0_2394]) ).
cnf(refute_0_2396,plain,
( meet(X_23,meet(X_22,X_24)) != meet(X_24,meet(X_22,X_23))
| meet(X_24,meet(X_22,X_23)) = meet(X_23,meet(X_22,X_24)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(meet(X_23,meet(X_22,X_24)))),bind(Y0,$fot(meet(X_24,meet(X_22,X_23))))]]) ).
cnf(refute_0_2397,plain,
meet(X_24,meet(X_22,X_23)) = meet(X_23,meet(X_22,X_24)),
inference(resolve,[$cnf( $equal(meet(X_23,meet(X_22,X_24)),meet(X_24,meet(X_22,X_23))) )],[refute_0_2395,refute_0_2396]) ).
cnf(refute_0_2398,plain,
meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)) = meet(X_23,meet(X_22,join(X_68,join(X_23,X_69)))),
inference(subst,[],[refute_0_2397:[bind(X_24,$fot(join(X_68,join(X_23,X_69))))]]) ).
cnf(refute_0_2399,plain,
( meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)) != meet(X_22,X_23)
| meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)) != meet(X_23,meet(X_22,join(X_68,join(X_23,X_69))))
| meet(X_23,meet(X_22,join(X_68,join(X_23,X_69)))) = meet(X_22,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)),meet(X_22,X_23)) ),[0],$fot(meet(X_23,meet(X_22,join(X_68,join(X_23,X_69)))))]]) ).
cnf(refute_0_2400,plain,
( meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)) != meet(X_22,X_23)
| meet(X_23,meet(X_22,join(X_68,join(X_23,X_69)))) = meet(X_22,X_23) ),
inference(resolve,[$cnf( $equal(meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)),meet(X_23,meet(X_22,join(X_68,join(X_23,X_69))))) )],[refute_0_2398,refute_0_2399]) ).
cnf(refute_0_2401,plain,
meet(X_23,meet(X_22,join(X_68,join(X_23,X_69)))) = meet(X_22,X_23),
inference(resolve,[$cnf( $equal(meet(join(X_68,join(X_23,X_69)),meet(X_22,X_23)),meet(X_22,X_23)) )],[refute_0_2389,refute_0_2400]) ).
cnf(refute_0_2402,plain,
meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208)))) = meet(X_205,meet(X_32,meet(X_33,X_207))),
inference(subst,[],[refute_0_2401:[bind(X_22,$fot(X_205)),bind(X_23,$fot(meet(X_32,meet(X_33,X_207)))),bind(X_68,$fot(X_207)),bind(X_69,$fot(X_208))]]) ).
cnf(refute_0_2403,plain,
join(join(X,meet(X_32,meet(X_33,X))),Z) = join(X,join(meet(X_32,meet(X_33,X)),Z)),
inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(X_32,meet(X_33,X))))]]) ).
cnf(refute_0_2404,plain,
join(X,meet(X_32,meet(X_33,X))) = X,
inference(subst,[],[refute_0_138:[bind(X_22,$fot(X_32)),bind(X_23,$fot(X_33)),bind(X_6,$fot(X))]]) ).
cnf(refute_0_2405,plain,
( join(X,meet(X_32,meet(X_33,X))) != X
| join(join(X,meet(X_32,meet(X_33,X))),Z) != join(X,join(meet(X_32,meet(X_33,X)),Z))
| join(X,Z) = join(X,join(meet(X_32,meet(X_33,X)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(X_32,meet(X_33,X))),Z),join(X,join(meet(X_32,meet(X_33,X)),Z))) ),[0,0],$fot(X)]]) ).
cnf(refute_0_2406,plain,
( join(join(X,meet(X_32,meet(X_33,X))),Z) != join(X,join(meet(X_32,meet(X_33,X)),Z))
| join(X,Z) = join(X,join(meet(X_32,meet(X_33,X)),Z)) ),
inference(resolve,[$cnf( $equal(join(X,meet(X_32,meet(X_33,X))),X) )],[refute_0_2404,refute_0_2405]) ).
cnf(refute_0_2407,plain,
join(X,Z) = join(X,join(meet(X_32,meet(X_33,X)),Z)),
inference(resolve,[$cnf( $equal(join(join(X,meet(X_32,meet(X_33,X))),Z),join(X,join(meet(X_32,meet(X_33,X)),Z))) )],[refute_0_2403,refute_0_2406]) ).
cnf(refute_0_2408,plain,
join(X_207,X_208) = join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208)),
inference(subst,[],[refute_0_2407:[bind(X,$fot(X_207)),bind(Z,$fot(X_208))]]) ).
cnf(refute_0_2409,plain,
( join(X_207,X_208) != join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208))
| join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208)) = join(X_207,X_208) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_207,X_208))),bind(Y0,$fot(join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208))))]]) ).
cnf(refute_0_2410,plain,
join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208)) = join(X_207,X_208),
inference(resolve,[$cnf( $equal(join(X_207,X_208),join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208))) )],[refute_0_2408,refute_0_2409]) ).
cnf(refute_0_2411,plain,
( join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208)) != join(X_207,X_208)
| meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208)))) != meet(X_205,meet(X_32,meet(X_33,X_207)))
| meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) = meet(X_205,meet(X_32,meet(X_33,X_207))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208)))),meet(X_205,meet(X_32,meet(X_33,X_207)))) ),[0,1,1],$fot(join(X_207,X_208))]]) ).
cnf(refute_0_2412,plain,
( meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208)))) != meet(X_205,meet(X_32,meet(X_33,X_207)))
| meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) = meet(X_205,meet(X_32,meet(X_33,X_207))) ),
inference(resolve,[$cnf( $equal(join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208)),join(X_207,X_208)) )],[refute_0_2410,refute_0_2411]) ).
cnf(refute_0_2413,plain,
meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) = meet(X_205,meet(X_32,meet(X_33,X_207))),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,join(meet(X_32,meet(X_33,X_207)),X_208)))),meet(X_205,meet(X_32,meet(X_33,X_207)))) )],[refute_0_2402,refute_0_2412]) ).
cnf(refute_0_2414,plain,
meet(X_207,meet(X_205,join(X_207,X_208))) = meet(X_207,X_205),
inference(subst,[],[refute_0_213:[bind(Y,$fot(X_207)),bind(X_38,$fot(X_208)),bind(X_40,$fot(X_205))]]) ).
cnf(refute_0_2415,plain,
meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))) = meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))),
introduced(tautology,[refl,[$fot(meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))))]]) ).
cnf(refute_0_2416,plain,
( meet(X_207,meet(X_205,join(X_207,X_208))) != meet(X_207,X_205)
| meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))) != meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208))))
| meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))) = meet(X_33,meet(X_207,X_205)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))),meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208))))) ),[1,1],$fot(meet(X_207,X_205))]]) ).
cnf(refute_0_2417,plain,
( meet(X_207,meet(X_205,join(X_207,X_208))) != meet(X_207,X_205)
| meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))) = meet(X_33,meet(X_207,X_205)) ),
inference(resolve,[$cnf( $equal(meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))),meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208))))) )],[refute_0_2415,refute_0_2416]) ).
cnf(refute_0_2418,plain,
meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))) = meet(X_33,meet(X_207,X_205)),
inference(resolve,[$cnf( $equal(meet(X_207,meet(X_205,join(X_207,X_208))),meet(X_207,X_205)) )],[refute_0_2414,refute_0_2417]) ).
cnf(refute_0_2419,plain,
meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))) = meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_33)),bind(Y,$fot(X_207)),bind(Z,$fot(meet(X_205,join(X_207,X_208))))]]) ).
cnf(refute_0_2420,plain,
( meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))) != meet(X_33,meet(X_207,X_205))
| meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))) != meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208))))
| meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))) = meet(X_33,meet(X_207,X_205)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))))),bind(Y0,$fot(meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))))),bind(Z0,$fot(meet(X_33,meet(X_207,X_205))))]]) ).
cnf(refute_0_2421,plain,
( meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))) != meet(X_33,meet(X_207,X_205))
| meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))) = meet(X_33,meet(X_207,X_205)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))),meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208))))) )],[refute_0_2419,refute_0_2420]) ).
cnf(refute_0_2422,plain,
meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))) = meet(X_33,meet(X_207,X_205)),
inference(resolve,[$cnf( $equal(meet(X_33,meet(X_207,meet(X_205,join(X_207,X_208)))),meet(X_33,meet(X_207,X_205))) )],[refute_0_2418,refute_0_2421]) ).
cnf(refute_0_2423,plain,
meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))) = meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))),
introduced(tautology,[refl,[$fot(meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))))]]) ).
cnf(refute_0_2424,plain,
( meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))) != meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))))
| meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))) != meet(X_33,meet(X_207,X_205))
| meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))) = meet(X_32,meet(X_33,meet(X_207,X_205))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))),meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))))) ),[1,1],$fot(meet(X_33,meet(X_207,X_205)))]]) ).
cnf(refute_0_2425,plain,
( meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))) != meet(X_33,meet(X_207,X_205))
| meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))) = meet(X_32,meet(X_33,meet(X_207,X_205))) ),
inference(resolve,[$cnf( $equal(meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))),meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))))) )],[refute_0_2423,refute_0_2424]) ).
cnf(refute_0_2426,plain,
meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))) = meet(X_32,meet(X_33,meet(X_207,X_205))),
inference(resolve,[$cnf( $equal(meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))),meet(X_33,meet(X_207,X_205))) )],[refute_0_2422,refute_0_2425]) ).
cnf(refute_0_2427,plain,
meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) = meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_32)),bind(Y,$fot(meet(X_33,X_207))),bind(Z,$fot(meet(X_205,join(X_207,X_208))))]]) ).
cnf(refute_0_2428,plain,
( meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))) != meet(X_32,meet(X_33,meet(X_207,X_205)))
| meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) != meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))))
| meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) = meet(X_32,meet(X_33,meet(X_207,X_205))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))))),bind(Y0,$fot(meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))))),bind(Z0,$fot(meet(X_32,meet(X_33,meet(X_207,X_205)))))]]) ).
cnf(refute_0_2429,plain,
( meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))) != meet(X_32,meet(X_33,meet(X_207,X_205)))
| meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) = meet(X_32,meet(X_33,meet(X_207,X_205))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))),meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208))))) )],[refute_0_2427,refute_0_2428]) ).
cnf(refute_0_2430,plain,
meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) = meet(X_32,meet(X_33,meet(X_207,X_205))),
inference(resolve,[$cnf( $equal(meet(X_32,meet(meet(X_33,X_207),meet(X_205,join(X_207,X_208)))),meet(X_32,meet(X_33,meet(X_207,X_205)))) )],[refute_0_2426,refute_0_2429]) ).
cnf(refute_0_2431,plain,
( meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) != meet(X_205,meet(X_32,meet(X_33,X_207)))
| meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) != meet(X_32,meet(X_33,meet(X_207,X_205)))
| meet(X_32,meet(X_33,meet(X_207,X_205))) = meet(X_205,meet(X_32,meet(X_33,X_207))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))),meet(X_205,meet(X_32,meet(X_33,X_207)))) ),[0],$fot(meet(X_32,meet(X_33,meet(X_207,X_205))))]]) ).
cnf(refute_0_2432,plain,
( meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))) != meet(X_205,meet(X_32,meet(X_33,X_207)))
| meet(X_32,meet(X_33,meet(X_207,X_205))) = meet(X_205,meet(X_32,meet(X_33,X_207))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))),meet(X_32,meet(X_33,meet(X_207,X_205)))) )],[refute_0_2430,refute_0_2431]) ).
cnf(refute_0_2433,plain,
meet(X_32,meet(X_33,meet(X_207,X_205))) = meet(X_205,meet(X_32,meet(X_33,X_207))),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_33,X_207)),meet(X_205,join(X_207,X_208))),meet(X_205,meet(X_32,meet(X_33,X_207)))) )],[refute_0_2413,refute_0_2432]) ).
cnf(refute_0_2434,plain,
meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))),
inference(subst,[],[refute_0_2433:[bind(X_205,$fot(join(X_214,X_213))),bind(X_207,$fot(join(X_215,X_214))),bind(X_32,$fot(meet(join(X_214,X_213),join(X_214,X_215)))),bind(X_33,$fot(X_42))]]) ).
cnf(refute_0_2435,plain,
( meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))) != meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) != meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214))))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))))),bind(Y0,$fot(meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))))),bind(Z0,$fot(meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))))]]) ).
cnf(refute_0_2436,plain,
( meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))) != meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))),meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214))))) )],[refute_0_2434,refute_0_2435]) ).
cnf(refute_0_2437,plain,
meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,join(X_215,X_214)))),meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))) )],[refute_0_2384,refute_0_2436]) ).
cnf(refute_0_2438,plain,
( meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) != meet(join(X_214,meet(X_215,X_213)),X_42)
| meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) != meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,meet(X_215,X_213)),X_42) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))))),bind(Y0,$fot(meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))))),bind(Z0,$fot(meet(join(X_214,meet(X_215,X_213)),X_42)))]]) ).
cnf(refute_0_2439,plain,
( meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))) != meet(join(X_214,meet(X_215,X_213)),X_42)
| meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,meet(X_215,X_213)),X_42) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))),meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214))))) )],[refute_0_2437,refute_0_2438]) ).
cnf(refute_0_2440,plain,
meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,meet(X_215,X_213)),X_42),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_215,X_214)))),meet(join(X_214,meet(X_215,X_213)),X_42)) )],[refute_0_2356,refute_0_2439]) ).
cnf(refute_0_2441,plain,
( meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) != meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))) != meet(join(X_214,meet(X_215,X_213)),X_42)
| meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) = meet(join(X_214,meet(X_215,X_213)),X_42) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))),meet(join(X_214,meet(X_215,X_213)),X_42)) ),[0],$fot(meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))))]]) ).
cnf(refute_0_2442,plain,
( meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) != meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))))
| meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) = meet(join(X_214,meet(X_215,X_213)),X_42) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213)))),meet(join(X_214,meet(X_215,X_213)),X_42)) )],[refute_0_2440,refute_0_2441]) ).
cnf(refute_0_2443,plain,
meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))) = meet(join(X_214,meet(X_215,X_213)),X_42),
inference(resolve,[$cnf( $equal(meet(X_42,meet(join(X_214,X_213),join(X_214,X_215))),meet(meet(join(X_214,X_213),join(X_214,X_215)),meet(X_42,meet(join(X_215,X_214),join(X_214,X_213))))) )],[refute_0_1998,refute_0_2442]) ).
cnf(refute_0_2444,plain,
meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) = meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)),
inference(subst,[],[refute_0_2443:[bind(X_213,$fot(X_215)),bind(X_215,$fot(join(X_213,X_25))),bind(X_42,$fot(join(X_214,X_213)))]]) ).
cnf(refute_0_2445,plain,
( meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) != meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213))
| meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) != join(X_214,meet(X_213,X_215))
| meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) = join(X_214,meet(X_213,X_215)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))))),bind(Y0,$fot(meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)))),bind(Z0,$fot(join(X_214,meet(X_213,X_215))))]]) ).
cnf(refute_0_2446,plain,
( meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)) != join(X_214,meet(X_213,X_215))
| meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) = join(X_214,meet(X_213,X_215)) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))),meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213))) )],[refute_0_2444,refute_0_2445]) ).
cnf(refute_0_2447,plain,
meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) = join(X_214,meet(X_213,X_215)),
inference(resolve,[$cnf( $equal(meet(join(X_214,meet(join(X_213,X_25),X_215)),join(X_214,X_213)),join(X_214,meet(X_213,X_215))) )],[refute_0_1994,refute_0_2446]) ).
cnf(refute_0_2448,plain,
join(join(X_214,X_213),X_25) = join(X_214,join(X_213,X_25)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_214)),bind(Y,$fot(X_213)),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_2449,plain,
meet(join(X_214,X_215),join(join(X_214,X_213),X_25)) = meet(join(X_214,X_215),join(join(X_214,X_213),X_25)),
introduced(tautology,[refl,[$fot(meet(join(X_214,X_215),join(join(X_214,X_213),X_25)))]]) ).
cnf(refute_0_2450,plain,
( join(join(X_214,X_213),X_25) != join(X_214,join(X_213,X_25))
| meet(join(X_214,X_215),join(join(X_214,X_213),X_25)) != meet(join(X_214,X_215),join(join(X_214,X_213),X_25))
| meet(join(X_214,X_215),join(join(X_214,X_213),X_25)) = meet(join(X_214,X_215),join(X_214,join(X_213,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_214,X_215),join(join(X_214,X_213),X_25)),meet(join(X_214,X_215),join(join(X_214,X_213),X_25))) ),[1,1],$fot(join(X_214,join(X_213,X_25)))]]) ).
cnf(refute_0_2451,plain,
( join(join(X_214,X_213),X_25) != join(X_214,join(X_213,X_25))
| meet(join(X_214,X_215),join(join(X_214,X_213),X_25)) = meet(join(X_214,X_215),join(X_214,join(X_213,X_25))) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_215),join(join(X_214,X_213),X_25)),meet(join(X_214,X_215),join(join(X_214,X_213),X_25))) )],[refute_0_2449,refute_0_2450]) ).
cnf(refute_0_2452,plain,
meet(join(X_214,X_215),join(join(X_214,X_213),X_25)) = meet(join(X_214,X_215),join(X_214,join(X_213,X_25))),
inference(resolve,[$cnf( $equal(join(join(X_214,X_213),X_25),join(X_214,join(X_213,X_25))) )],[refute_0_2448,refute_0_2451]) ).
cnf(refute_0_2453,plain,
meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,X_215),join(join(X_214,X_213),X_25)),
inference(subst,[],[refute_0_1821:[bind(X_158,$fot(X_25)),bind(X_160,$fot(join(X_214,X_213))),bind(X_28,$fot(X_215)),bind(X_29,$fot(X_214))]]) ).
cnf(refute_0_2454,plain,
( meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) != meet(join(X_214,X_215),join(join(X_214,X_213),X_25))
| meet(join(X_214,X_215),join(join(X_214,X_213),X_25)) != meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))
| meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,X_215),join(X_214,join(X_213,X_25))) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))))),bind(Y0,$fot(meet(join(X_214,X_215),join(join(X_214,X_213),X_25)))),bind(Z0,$fot(meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))))]]) ).
cnf(refute_0_2455,plain,
( meet(join(X_214,X_215),join(join(X_214,X_213),X_25)) != meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))
| meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,X_215),join(X_214,join(X_213,X_25))) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))),meet(join(X_214,X_215),join(join(X_214,X_213),X_25))) )],[refute_0_2453,refute_0_2454]) ).
cnf(refute_0_2456,plain,
meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,X_215),join(X_214,join(X_213,X_25))),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_215),join(join(X_214,X_213),X_25)),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) )],[refute_0_2452,refute_0_2455]) ).
cnf(refute_0_2457,plain,
meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) = meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))),
introduced(tautology,[refl,[$fot(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))))]]) ).
cnf(refute_0_2458,plain,
( meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) != meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))))
| meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) != meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))
| meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) = meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))),meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))))) ),[1,1],$fot(meet(join(X_214,X_215),join(X_214,join(X_213,X_25))))]]) ).
cnf(refute_0_2459,plain,
( meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) != meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))
| meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) = meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))),meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))))) )],[refute_0_2457,refute_0_2458]) ).
cnf(refute_0_2460,plain,
meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) = meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) )],[refute_0_2456,refute_0_2459]) ).
cnf(refute_0_2461,plain,
( meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) != join(X_214,meet(X_213,X_215))
| meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) != meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25))))
| meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) = join(X_214,meet(X_213,X_215)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))))),bind(Y0,$fot(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))))),bind(Z0,$fot(join(X_214,meet(X_213,X_215))))]]) ).
cnf(refute_0_2462,plain,
( meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))) != join(X_214,meet(X_213,X_215))
| meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) = join(X_214,meet(X_213,X_215)) ),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))),meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25))))) )],[refute_0_2460,refute_0_2461]) ).
cnf(refute_0_2463,plain,
meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) = join(X_214,meet(X_213,X_215)),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_214,join(X_213,X_25)))),join(X_214,meet(X_213,X_215))) )],[refute_0_2447,refute_0_2462]) ).
cnf(refute_0_2464,plain,
meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(join(X_214,X_213))),bind(Y,$fot(join(X_214,X_215))),bind(Z,$fot(join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))))]]) ).
cnf(refute_0_2465,plain,
( meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) != join(X_214,meet(X_213,X_215))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) != meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = join(X_214,meet(X_213,X_215)) ),
inference(subst,[],[refute_0_23:[bind(X0,$fot(meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))))),bind(Y0,$fot(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))))),bind(Z0,$fot(join(X_214,meet(X_213,X_215))))]]) ).
cnf(refute_0_2466,plain,
( meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))) != join(X_214,meet(X_213,X_215))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = join(X_214,meet(X_213,X_215)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))),meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))))) )],[refute_0_2464,refute_0_2465]) ).
cnf(refute_0_2467,plain,
meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) = join(X_214,meet(X_213,X_215)),
inference(resolve,[$cnf( $equal(meet(join(X_214,X_213),meet(join(X_214,X_215),join(X_25,meet(join(X_215,X_214),join(X_214,X_213))))),join(X_214,meet(X_213,X_215))) )],[refute_0_2463,refute_0_2466]) ).
cnf(refute_0_2468,plain,
( meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) != join(X_214,meet(X_213,X_215))
| meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) != meet(join(X_214,X_213),join(X_214,X_215))
| join(X_214,meet(X_213,X_215)) = meet(join(X_214,X_213),join(X_214,X_215)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))),meet(join(X_214,X_213),join(X_214,X_215))) ),[0],$fot(join(X_214,meet(X_213,X_215)))]]) ).
cnf(refute_0_2469,plain,
( meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))) != meet(join(X_214,X_213),join(X_214,X_215))
| join(X_214,meet(X_213,X_215)) = meet(join(X_214,X_213),join(X_214,X_215)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))),join(X_214,meet(X_213,X_215))) )],[refute_0_2467,refute_0_2468]) ).
cnf(refute_0_2470,plain,
join(X_214,meet(X_213,X_215)) = meet(join(X_214,X_213),join(X_214,X_215)),
inference(resolve,[$cnf( $equal(meet(meet(join(X_214,X_213),join(X_214,X_215)),join(X_25,meet(join(X_215,X_214),join(X_214,X_213)))),meet(join(X_214,X_213),join(X_214,X_215))) )],[refute_0_106,refute_0_2469]) ).
cnf(refute_0_2471,plain,
( join(X_214,meet(X_213,X_215)) != meet(join(X_214,X_213),join(X_214,X_215))
| meet(join(X_214,X_213),join(X_214,X_215)) = join(X_214,meet(X_213,X_215)) ),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(X_214,meet(X_213,X_215)))),bind(Y0,$fot(meet(join(X_214,X_213),join(X_214,X_215))))]]) ).
cnf(refute_0_2472,plain,
meet(join(X_214,X_213),join(X_214,X_215)) = join(X_214,meet(X_213,X_215)),
inference(resolve,[$cnf( $equal(join(X_214,meet(X_213,X_215)),meet(join(X_214,X_213),join(X_214,X_215))) )],[refute_0_2470,refute_0_2471]) ).
cnf(refute_0_2473,plain,
meet(join(a,b),join(a,c)) = join(a,meet(b,c)),
inference(subst,[],[refute_0_2472:[bind(X_213,$fot(b)),bind(X_214,$fot(a)),bind(X_215,$fot(c))]]) ).
cnf(refute_0_2474,plain,
( join(a,meet(b,c)) != join(a,meet(b,c))
| meet(join(a,b),join(a,c)) != join(a,meet(b,c))
| join(a,meet(b,c)) = meet(join(a,b),join(a,c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(a,meet(b,c)),meet(join(a,b),join(a,c))) ),[1],$fot(join(a,meet(b,c)))]]) ).
cnf(refute_0_2475,plain,
( join(a,meet(b,c)) != join(a,meet(b,c))
| join(a,meet(b,c)) = meet(join(a,b),join(a,c)) ),
inference(resolve,[$cnf( $equal(meet(join(a,b),join(a,c)),join(a,meet(b,c))) )],[refute_0_2473,refute_0_2474]) ).
cnf(refute_0_2476,plain,
join(a,meet(b,c)) != join(a,meet(b,c)),
inference(resolve,[$cnf( $equal(join(a,meet(b,c)),meet(join(a,b),join(a,c))) )],[refute_0_2475,prove_distributivity]) ).
cnf(refute_0_2477,plain,
join(a,meet(b,c)) = join(a,meet(b,c)),
introduced(tautology,[refl,[$fot(join(a,meet(b,c)))]]) ).
cnf(refute_0_2478,plain,
$false,
inference(resolve,[$cnf( $equal(join(a,meet(b,c)),join(a,meet(b,c))) )],[refute_0_2477,refute_0_2476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT009-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 22:22:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 31.84/32.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.84/32.03
% 31.84/32.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 32.27/32.43
%------------------------------------------------------------------------------